Dynamics and Control I
An MIT OpenCourseWare introduction to the dynamics and vibrations of lumped-parameter mechanical systems. The course covers kinematics, force-momentum formulation for particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work, and Lagrange's equations. It moves into linearization of equations of motion, linear stability analysis, free and forced vibration of multi-degree-of-freedom models, and matrix eigenvalue problems. Notation follows the kinematic formulation approach adapted from Professor Kane of Stanford University, differing from MIT's earlier Spring 2007 version of the class. Numerical methods and MATLAB are introduced for solving dynamics and vibration problems. Materials include lecture notes, assignments, and exams typical of MIT OCW mechanical engineering courses, free to access with no certificate offered.