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MIT 2.003J Dynamics and Control I, Fall 2007

Documentaries & Learning2007Creative Commons
Poster for MIT 2.003J Dynamics and Control I, Fall 2007

About this film

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include 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; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems. This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

Directors & creators

MIT OpenCourseWare

Subjects

dynamics and vibrations of lumped-parameter models; mechanical systems; Kinematics; Kane's method; 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;MATLAB

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