2.003SC Engineering Dynamics (Fall 2011, MIT OCW). Taught by Professor J. Kim Vandiver, this course introduces 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.
(from ocw.mit.edu)
Lecture 20 - Linear System Modeling a Single Degree of Freedom Oscillator
References
Mechanical Vibration
Assignments and solutions. The study of vibration will emphasize the analysis of the solution of the equations of motion of a particularly important class of dynamics problems: the vibration of machines.