Dynamic finite element analysis of structures
ME-473
week 12 - Eigenvalue problems of vibrations and stability
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Description
Tasks for week 12
- Understand and solve the generalized eigenvalue problem arising from free vibrations of conservative systems.
- Interpret the physical meaning of eigenvalues, mode orthogonality, and rigid body modes in structural dynamics.
- Apply modal analysis techniques, including Rayleigh’s quotient and subspace iteration, to extract natural frequencies and mode shapes.
- Solve problem set 9