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 23 - Vibration by Mode Superposition
References
Vibration of Multi-Degree-of-Freedom Systems
Assignments and solutions. We introduce the concept of mode superposition. The vibration of N-DOF linear systems can be modeled as the superposition of the response of N Single DOF oscillators.