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2.003J Dynamics and Control I (MIT) 2.003J Dynamics and Control I (MIT)

Description

Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems. Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems.Subjects

dynamics and vibrations of lumped-parameter models | dynamics and vibrations of lumped-parameter models | mechanical systems | mechanical systems | Kinematics | Kinematics | Force-momentum formulation | Force-momentum formulation | systems of particles | systems of particles | rigid bodies in planar motion | rigid bodies in planar motion | Work-energy concepts | Work-energy concepts | Virtual displacements | Virtual displacements | virtual work | virtual work | Lagrange's equations | Lagrange's equations | Linearization of equations of motion | Linearization of equations of motion | Linear stability analysis | Linear stability analysis | Free vibration | Free vibration | forced vibration | forced vibration | linear multi-degree of freedom models | linear multi-degree of freedom models | matrix eigenvalue problems | matrix eigenvalue problems | numerical methods | numerical methods | MATLAB | MATLABLicense

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See all metadata8.03 Physics III (MIT) 8.03 Physics III (MIT)

Description

Mechanical vibrations and waves, simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes, vibrations of continuous systems, reflection and refraction, phase and group velocity. Optics, wave solutions to Maxwell's equations, polarization, Snell's law, interference, Huygens's principle, Fraunhofer diffraction, and gratings. Mechanical vibrations and waves, simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes, vibrations of continuous systems, reflection and refraction, phase and group velocity. Optics, wave solutions to Maxwell's equations, polarization, Snell's law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.Subjects

Mechanical vibrations and waves | Mechanical vibrations and waves | simple harmonic motion | simple harmonic motion | superposition | superposition | forced vibrations and resonance | forced vibrations and resonance | coupled oscillations and normal modes | coupled oscillations and normal modes | vibrations of continuous systems | vibrations of continuous systems | reflection and refraction | reflection and refraction | phase and group velocity | phase and group velocity | wave solutions to Maxwell's equations | wave solutions to Maxwell's equations | polarization | polarization | Snell's Law | Snell's Law | interference | interference | Huygens's principle | Huygens's principle | Fraunhofer diffraction | Fraunhofer diffraction | gratings | gratingsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata16.07 Dynamics (MIT) 16.07 Dynamics (MIT)

Description

Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics.Subjects

Curvilinear motion | Curvilinear motion | carteian coordinates | carteian coordinates | dynamics | dynamics | equations of motion | equations of motion | intrinsic coordinates | intrinsic coordinates | coordinate systems | coordinate systems | work | work | energy | energy | conservative forces | conservative forces | potential energy | potential energy | linear impulse | linear impulse | mommentum | mommentum | angular impulse | angular impulse | relative motion | relative motion | rotating axes | rotating axes | translating axes | translating axes | Newton's second law | Newton's second law | inertial forces | inertial forces | accelerometers | accelerometers | Newtonian relativity | Newtonian relativity | gravitational attraction | gravitational attraction | 2D rigid body kinematics | 2D rigid body kinematics | conservation laws for systems of particles | conservation laws for systems of particles | 2D rigid body dynamics | 2D rigid body dynamics | pendulums | pendulums | 3D rigid body kinematics | 3D rigid body kinematics | 3d rigid body dynamics | 3d rigid body dynamics | inertia tensor | inertia tensor | gyroscopic motion | gyroscopic motion | torque-free motion | torque-free motion | spin stabilization | spin stabilization | variable mass systems | variable mass systems | rocket equation | rocket equation | central foce motion | central foce motion | Keppler's laws | Keppler's laws | orbits | orbits | orbit transfer | orbit transfer | vibration | vibration | spring mass systems | spring mass systems | forced vibration | forced vibration | isolation | isolation | coupled oscillators | coupled oscillators | normal modes | normal modes | wave propagation | wave propagation | cartesian coordinates | cartesian coordinates | momentum | momentum | central force motion | central force motionLicense

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See all metadata2.003SC Engineering Dynamics (MIT) 2.003SC Engineering Dynamics (MIT)

Description

Includes audio/video content: AV lectures. This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems. Includes audio/video content: AV lectures. This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems.Subjects

dynamics and vibrations | dynamics and vibrations | lumped-parameter models | lumped-parameter models | kinematics | kinematics | momentum | momentum | systems of particles and rigid bodies | systems of particles and rigid bodies | work-energy concepts | work-energy concepts | virtual displacements and virtual work | virtual displacements and virtual work | Lagrange's equations | Lagrange's equations | equations of motion | equations of motion | linear stability analysis | linear stability analysis | free and forced vibration | free and forced vibration | linear multi-degree of freedom models | linear multi-degree of freedom models | matrix eigenvalue problems | matrix eigenvalue problemsLicense

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See all metadata8.03SC Physics III: Vibrations and Waves (MIT)

Description

This is the third course in the core physics curriculum at MIT, following 8.01 Physics I: Classical Mechanics and 8.02 Physics II: Electricity and Magnetism. Topics include mechanical vibrations and waves, electromagnetic waves, and optics. Students will learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and Big Bang cosmology.Subjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmologyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata8.03 Physics III: Vibrations and Waves (MIT)

Description

In addition to the traditional topics of mechanical vibrations and waves, coupled oscillators, and electro-magnetic radiation, students will also learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and big-bang cosmology. OpenCourseWare presents another version of 8.03 that features a full set of lecture notes and take-home experiments. Also by Walter Lewin Courses: Classical Mechanics (8.01)- with a complete set of 35 video lectures from the Fall of 1999 Electricity and Magnetism (8.02)- with a complete set of 36 video lectures from the Spring of 2002 Talks: For The Love Of Physics - Professor of Physics Emeritus Walter Lewin's last MIT lecture, complete with some of his most famous phySubjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmologyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata8.03 Physics III: Vibrations and Waves (MIT)

Description

In addition to the traditional topics of mechanical vibrations and waves, coupled oscillators, and electro-magnetic radiation, students will also learn about musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes and big-bang cosmology. OpenCourseWare presents another version of 8.03 that features a full set of lecture notes and take-home experiments. Also by Walter Lewin Courses: Classical Mechanics (8.01)- with a complete set of 35 video lectures from the Fall of 1999 Electricity and Magnetism (8.02)- with a complete set of 36 video lectures from the Spring of 2002 Talks: For The Love Of Physics - Professor of Physics Emeritus Walter Lewin's last MIT lecture, complete with some of his most famous phySubjects

mechanical vibrations | waves | simple harmonic motion | superposition | forced vibrations | resonance | coupled oscillations | normal modes | vibrations of continuous systems | reflection | refraction | phase | group velocity | Optics | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratings | musical instruments | red sunsets | glories | coronae | rainbows | haloes | X-ray binaries | neutron stars | black holes | big-bang cosmologyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Mechanical vibrations and waves, simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes, vibrations of continuous systems, reflection and refraction, phase and group velocity. Optics, wave solutions to Maxwell's equations, polarization, Snell's law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.Subjects

Mechanical vibrations and waves | simple harmonic motion | superposition | forced vibrations and resonance | coupled oscillations and normal modes | vibrations of continuous systems | reflection and refraction | phase and group velocity | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratingsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata2.003J Dynamics and Control I (MIT)

Description

Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems.Subjects

dynamics and vibrations of lumped-parameter models | mechanical systems | Kinematics | Force-momentum formulation | systems of particles | rigid bodies in planar motion | Work-energy concepts | Virtual displacements | virtual work | Lagrange's equations | Linearization of equations of motion | Linear stability analysis | Free vibration | forced vibration | linear multi-degree of freedom models | matrix eigenvalue problems | numerical methods | MATLABLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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Mechanical vibrations and waves, simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes, vibrations of continuous systems, reflection and refraction, phase and group velocity. Optics, wave solutions to Maxwell's equations, polarization, Snell's law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.Subjects

Mechanical vibrations and waves | simple harmonic motion | superposition | forced vibrations and resonance | coupled oscillations and normal modes | vibrations of continuous systems | reflection and refraction | phase and group velocity | wave solutions to Maxwell's equations | polarization | Snell's Law | interference | Huygens's principle | Fraunhofer diffraction | gratingsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata5.04 Principles of Inorganic Chemistry II (MIT) 5.04 Principles of Inorganic Chemistry II (MIT)

Description

This course provides a systematic presentation of the chemical applications of group theory with emphasis on the formal development of the subject and its applications to the physical methods of inorganic chemical compounds. The electronic structure of molecules will be developed. Against this backdrop, the optical, vibrational, and magnetic properties of transition metal complexes are presented and their investigation by the appropriate spectroscopy is described. This course provides a systematic presentation of the chemical applications of group theory with emphasis on the formal development of the subject and its applications to the physical methods of inorganic chemical compounds. The electronic structure of molecules will be developed. Against this backdrop, the optical, vibrational, and magnetic properties of transition metal complexes are presented and their investigation by the appropriate spectroscopy is described.Subjects

inorganic chemistry | inorganic chemistry | group theory | group theory | transition metal complexes | transition metal complexes | symmetry element | symmetry element | point group | point group | LCAO | LCAO | metal metal bonding | metal metal bonding | vibrational spectroscopy | vibrational spectroscopy | character tables | character tables | sandwich compounds | sandwich compoundsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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The goal of this course is to illustrate how molecular structure is extracted from a spectrum. In order to achieve this goal it will be necessary to: master the language of spectroscopists; develop facility with quantum mechanical models; predict the relative intensities and selection rules; and learn how to assign spectra. The goal of this course is to illustrate how molecular structure is extracted from a spectrum. In order to achieve this goal it will be necessary to: master the language of spectroscopists; develop facility with quantum mechanical models; predict the relative intensities and selection rules; and learn how to assign spectra.Subjects

Chemistry | Chemistry | molecular spectra | molecular spectra | molecular structure | molecular structure | spectroscopists | spectroscopists | quantum mechanical models | quantum mechanical models | intensities | intensities | selection rules | selection rules | energy levels | energy levels | vibrations | vibrationsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom. In this two-semester course, basic principles are examined. Topics include: thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles. Statistical Mechanics is a probabilistic approach to equilibrium properties of large numbers of degrees of freedom. In this two-semester course, basic principles are examined. Topics include: thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles.Subjects

Thermodynamics | Thermodynamics | entropy. mehanics | entropy. mehanics | microcanonical distributions | microcanonical distributions | canonical distributions | canonical distributions | grand canonical distributions; lattice vibrations | grand canonical distributions; lattice vibrations | ideal gas | ideal gas | photon gas. | photon gas. | quantum statistical mechanics; Fermi systems | quantum statistical mechanics; Fermi systems | Bose systems | Bose systems | cluster expansions | cluster expansions | van der Waal's gas | van der Waal's gas | mean-field theory. | mean-field theory.License

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See all metadata8.333 Statistical Mechanics (MIT) 8.333 Statistical Mechanics (MIT)

Description

8.333 is the first course in a two-semester sequence on statistical mechanics. Basic principles are examined in 8.333: the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, micro canonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and mean-field theory. 8.333 is the first course in a two-semester sequence on statistical mechanics. Basic principles are examined in 8.333: the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, micro canonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and mean-field theory.Subjects

hermodynamics | hermodynamics | entropy | entropy | mehanics | mehanics | microcanonical distributions | microcanonical distributions | canonical distributions | canonical distributions | grand canonical distributions | grand canonical distributions | lattice vibrations | lattice vibrations | ideal gas | ideal gas | photon gas | photon gas | quantum statistical mechanics | quantum statistical mechanics | Fermi systems | Fermi systems | Bose systems | Bose systems | cluster expansions | cluster expansions | van der Waal's gas | van der Waal's gas | mean-field theory | mean-field theoryLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.311 Principles of Applied Mathematics (MIT) 18.311 Principles of Applied Mathematics (MIT)

Description

Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. MATLAB® is a trademark of The MathWorks, Inc. Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.Technical RequirementsMATLAB® software is required to run the .m files found on this course site. MATLAB® is a trademark of The MathWorks, Inc.Subjects

Nonlinear dynamical systems | Nonlinear dynamical systems | nonlinear waves | nonlinear waves | diffusion | diffusion | stability | stability | characteristics | characteristics | nonlinear steepening | nonlinear steepening | breaking and shock formation | breaking and shock formation | conservation laws | conservation laws | first-order partial differential equations | first-order partial differential equations | finite differences | finite differences | numerical stability | numerical stability | traffic problems | traffic problems | flows in rivers | flows in rivers | internal waves | internal waves | mechanical vibrations | mechanical vibrationsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Includes audio/video content: AV lectures. Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. In these two video courses, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures for linear and nonlinear analyses. These videos were produced in 1982 and 1986 by the MIT Center for Advanced Engineering Study. Includes audio/video content: AV lectures. Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. In these two video courses, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures for linear and nonlinear analyses. These videos were produced in 1982 and 1986 by the MIT Center for Advanced Engineering Study.Subjects

finite element method | finite element method | statics | statics | dynamics | dynamics | linear analysis | linear analysis | nonlinear analysis | nonlinear analysis | computer modeling | computer modeling | engineering design | engineering design | solids | solids | structures | structures | wave propagation | wave propagation | vibration | vibration | collapse | collapse | buckling | buckling | Lagrangian formulation | Lagrangian formulation | truss | truss | beam | beam | plate | plate | shell | shell | elastic materials | elastic materials | plastic materials | plastic materials | creep | creep | ADINA | ADINA | numerical integration methods | numerical integration methods | mode superposition | mode superpositionLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata2.003 Modeling Dynamics and Control I (MIT) 2.003 Modeling Dynamics and Control I (MIT)

Description

Includes audio/video content: AV special element video. This course is the first of a two term sequence in modeling, analysis and control of dynamic systems. The various topics covered are as follows: mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices, analytical and computational solution of linear differential equations, state-determined systems, Laplace transforms, transfer functions, frequency response, Bode plots, vibrations, modal analysis, open- and closed-loop control, instability, time-domain controller design, and introduction to frequency-domain control design techniques. Case studies of engineering applications are also covered. Includes audio/video content: AV special element video. This course is the first of a two term sequence in modeling, analysis and control of dynamic systems. The various topics covered are as follows: mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices, analytical and computational solution of linear differential equations, state-determined systems, Laplace transforms, transfer functions, frequency response, Bode plots, vibrations, modal analysis, open- and closed-loop control, instability, time-domain controller design, and introduction to frequency-domain control design techniques. Case studies of engineering applications are also covered.Subjects

modeling | modeling | analysis | analysis | dynamic | dynamic | systems | systems | mechanical | mechanical | translation | translation | uniaxial | uniaxial | rotation | rotation | electrical | electrical | circuits | circuits | coupling | coupling | levers | levers | gears | gears | electro-mechanical | electro-mechanical | devices | devices | linear | linear | differential | differential | equations | equations | state-determined | state-determined | Laplace | Laplace | transforms | transforms | transfer | transfer | functions | functions | frequency | frequency | response | response | Bode | Bode | vibrations | vibrations | modal | modal | open-loop | open-loop | closed-loop | closed-loop | control | control | instability | instability | time-domain | time-domain | controller | controller | frequency-domain | frequency-domainLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata2.034J Nonlinear Dynamics and Waves (MIT) 2.034J Nonlinear Dynamics and Waves (MIT)

Description

This graduate-level course provides a unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. This graduate-level course provides a unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems.Subjects

nonlinear oscillations | nonlinear oscillations | wave phenomena | wave phenomena | flow-structure interaction problems | flow-structure interaction problems | nonlinear free and forced vibrations | nonlinear free and forced vibrations | nonlinear resonances | nonlinear resonances | self-excited oscillations | self-excited oscillations | lock-in phenomena | lock-in phenomena | nonlinear dispersive and nondispersive waves | nonlinear dispersive and nondispersive waves | resonant wave interactions | resonant wave interactions | propagation of wave pulses | propagation of wave pulses | nonlinear Schrodinger equation | nonlinear Schrodinger equation | nonlinear long waves and breaking | nonlinear long waves and breaking | theory of characteristics | theory of characteristics | the Korteweg-de Vries equation | the Korteweg-de Vries equation | solitons and solitary wave interactions | solitons and solitary wave interactions | stability of shear flows | stability of shear flowsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata2.016 Hydrodynamics (13.012) (MIT) 2.016 Hydrodynamics (13.012) (MIT)

Description

This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations and This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations andSubjects

fluid mechanics | fluid mechanics | mass | mass | momentum | momentum | energy | energy | lift | lift | drag | drag | laminar | laminar | turbulent | turbulent | turbulence | turbulence | wave | wave | waves | waves | surface waves | surface waves | current | current | water | water | ocean | ocean | force | force | sea | sea | sea wave | sea wave | ship | ship | propulsion | propulsion | propeller | propeller | fish | fish | swimming | swimming | wind | wind | VIV | VIV | vortex induced vibration | vortex induced vibration | Bernoulli | Bernoulli | D'Allembert | D'Allembert | hydrostatics | hydrostatics | fluid dynamics | fluid dynamicsLicense

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The course covers the basic techniques for evaluating the maximum forces and loads over the life of a marine structure or vehicle, so as to be able to design its basic configuration. Loads and motions of small and large structures and their short-term and long-term statistics are studied in detail and many applications are presented in class and studied in homework and laboratory sessions. Issues related to seakeeping of ships are studied in detail. The basic equations and issues of maneuvering are introduced at the end of the course. Three laboratory sessions demonstrate the phenomena studied and provide experience with experimental methods and data processing. This course was originally offered in Course 13 (Ocean Engineering) as 13.42. The course covers the basic techniques for evaluating the maximum forces and loads over the life of a marine structure or vehicle, so as to be able to design its basic configuration. Loads and motions of small and large structures and their short-term and long-term statistics are studied in detail and many applications are presented in class and studied in homework and laboratory sessions. Issues related to seakeeping of ships are studied in detail. The basic equations and issues of maneuvering are introduced at the end of the course. Three laboratory sessions demonstrate the phenomena studied and provide experience with experimental methods and data processing. This course was originally offered in Course 13 (Ocean Engineering) as 13.42.Subjects

seakeeping | seakeeping | sea keeping | sea keeping | wave | wave | waves | waves | swell | swell | current | current | ship design | ship design | underwater vehicle | underwater vehicle | submarine | submarine | offshore platform | offshore platform | wave spectra | wave spectra | Froude Krylov | Froude Krylov | Fourier transform | Fourier transform | vortex | vortex | vortex induced vibration | vortex induced vibration | wave energy | wave energy | Pierson-Moskowitz spectrum | Pierson-Moskowitz spectrum | Bretschneider spectrum | Bretschneider spectrum | Ochi spectrum | Ochi spectrum | JONSWAP spectrum | JONSWAP spectrumLicense

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See all metadata2.032 Dynamics (MIT) 2.032 Dynamics (MIT)

Description

This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas.Subjects

motion | motion | momentum | momentum | work-energy principle | work-energy principle | degrees of freedom | degrees of freedom | Lagrange's equations | Lagrange's equations | D'Alembert's principle | D'Alembert's principle | Hamilton's principle | Hamilton's principle | gyroscope | gyroscope | gyroscopic effect | gyroscopic effect | steady motions | steady motions | nature of small deviations | nature of small deviations | natural modes | natural modes | natural frequencies for continuous and lumped parameter systems | natural frequencies for continuous and lumped parameter systems | mode shapes | mode shapes | forced vibrations | forced vibrations | dynamic stability theory | dynamic stability theory | instability | instabilityLicense

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See all metadata2.002 Mechanics and Materials II (MIT) 2.002 Mechanics and Materials II (MIT)

Description

This course provides Mechanical Engineering students with an awareness of various responses exhibited by solid engineering materials when subjected to mechanical and thermal loadings; an introduction to the physical mechanisms associated with design-limiting behavior of engineering materials, especially stiffness, strength, toughness, and durability; an understanding of basic mechanical properties of engineering materials, testing procedures used to quantify these properties, and ways in which these properties characterize material response; quantitative skills to deal with materials-limiting problems in engineering design; and a basis for materials selection in mechanical design. This course provides Mechanical Engineering students with an awareness of various responses exhibited by solid engineering materials when subjected to mechanical and thermal loadings; an introduction to the physical mechanisms associated with design-limiting behavior of engineering materials, especially stiffness, strength, toughness, and durability; an understanding of basic mechanical properties of engineering materials, testing procedures used to quantify these properties, and ways in which these properties characterize material response; quantitative skills to deal with materials-limiting problems in engineering design; and a basis for materials selection in mechanical design.Subjects

beam bending | beam bending | buckling | buckling | vibration | vibration | polymers | polymers | viscoelasticity | viscoelasticity | strength | strength | ductility | ductility | stress | stress | stress concentration | stress concentration | sheet bending | sheet bending | heat treatment | heat treatment | fracture | fracture | plasticity | plasticity | creep | creep | fatigue | fatigue | solid materials | solid materials | mechanical loading | mechanical loading | thermal loading | thermal loading | design-limiting behavior | design-limiting behavior | stiffness | stiffness | toughness | toughness | durability | durability | engineering materials | engineering materials | materials-limiting problem | materials-limiting problem | materials selection | materials selectionLicense

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See all metadata5.04 Principles of Inorganic Chemistry II (MIT) 5.04 Principles of Inorganic Chemistry II (MIT)

Description

This course provides a systematic presentation of the chemical applications of group theory with emphasis on the formal development of the subject and its applications to the physical methods of inorganic chemical compounds. Against the backdrop of electronic structure, the electronic, vibrational, and magnetic properties of transition metal complexes are presented and their investigation by the appropriate spectroscopy described. This course provides a systematic presentation of the chemical applications of group theory with emphasis on the formal development of the subject and its applications to the physical methods of inorganic chemical compounds. Against the backdrop of electronic structure, the electronic, vibrational, and magnetic properties of transition metal complexes are presented and their investigation by the appropriate spectroscopy described.Subjects

inorganic chemistry | inorganic chemistry | group theory | group theory | electronic structure of molecules | electronic structure of molecules | transition metal complexes | transition metal complexes | spectroscopy | spectroscopy | symmetry elements | symmetry elements | mathematical groups | mathematical groups | character tables | character tables | molecular point groups | molecular point groups | Huckel Theory | Huckel Theory | N-Dimensional cyclic systems | N-Dimensional cyclic systems | solid state theory | solid state theory | band theory | band theory | frontier molecular orbitals | frontier molecular orbitals | similarity transformations | similarity transformations | complexes | complexes | organometallic complexes | organometallic complexes | two electron bond | two electron bond | vibrational spectroscopy | vibrational spectroscopy | symmetry | symmetry | overtones | overtones | normal coordinat analysis | normal coordinat analysis | AOM | AOM | single electron CFT | single electron CFT | tanabe-sugano diagram | tanabe-sugano diagram | ligand | ligand | crystal field theory | crystal field theory | LCAO | LCAOLicense

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See all metadata6.551J Acoustics of Speech and Hearing (MIT) 6.551J Acoustics of Speech and Hearing (MIT)

Description

The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: the acoustic cues used in determining the direction of a sound source, the acoustic and mechanical mechanisms involved in speech production and the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear. The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: the acoustic cues used in determining the direction of a sound source, the acoustic and mechanical mechanisms involved in speech production and the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear.Subjects

HST.714 | HST.714 | sound | sound | speech communication | speech communication | human anatomy | human anatomy | speech production | speech production | sound production | sound production | airflow | airflow | filtering | filtering | vocal tract | vocal tract | auditory physiology | auditory physiology | acoustical waves | acoustical waves | mechanical vibrations | mechanical vibrations | cochlear structures | cochlear structures | sound perception | sound perception | spatial hearing | spatial hearing | masking | masking | auditory frequency selectivity | auditory frequency selectivity | physical processes | physical processes | sound propagation | sound propagation | human speech | human speech | acoustics | acoustics | speech mechanics | speech mechanics | auditory system | auditory system | sound direction | sound direction | ear | ear | 6.551 | 6.551License

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See all metadata6.730 Physics for Solid-State Applications (MIT) 6.730 Physics for Solid-State Applications (MIT)

Description

This course examines classical and quantum models of electrons and lattice vibrations in solids, emphasizing physical models for elastic properties, electronic transport, and heat capacity. Topics covered include: crystal lattices, electronic energy band structures, phonon dispersion relatons, effective mass theorem, semiclassical equations of motion, and impurity states in semiconductors, band structure and transport properties of selected semiconductors, and connection of quantum theory of solids with quasifermi levels and Boltzmann transport used in device modeling. This course examines classical and quantum models of electrons and lattice vibrations in solids, emphasizing physical models for elastic properties, electronic transport, and heat capacity. Topics covered include: crystal lattices, electronic energy band structures, phonon dispersion relatons, effective mass theorem, semiclassical equations of motion, and impurity states in semiconductors, band structure and transport properties of selected semiconductors, and connection of quantum theory of solids with quasifermi levels and Boltzmann transport used in device modeling.Subjects

physics | physics | solid state application | solid state application | quantum model | quantum model | electron | electron | lattice vibration | lattice vibration | electronic transport | electronic transport | heat capacity | heat capacity | elastic properties | elastic properties | cystal lattice | cystal lattice | electronic energy band | electronic energy band | phonon dispersion relatons | phonon dispersion relatons | effective mass theorem | effective mass theorem | motion equation | motion equation | impurity state | impurity state | semiconductor | semiconductor | band structure | band structure | transport properties | transport properties | quantum theory of solids | quantum theory of solids | quasifermi | quasifermi | Boltzmann transport | Boltzmann transport | device modeling | device modelingLicense

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