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