Week 1: Differential Geometry
Week 2: Differential length and strain
Week 3: Hamilton’s Law for vibrating shells
Week 4: The general equations of motion
Week 5: Equations of motion for a vibrating rectangular plate
Week 6: Modes and natural frequencies of vibrating structures and their animations
Week 7: Modes and natural frequencies of vibrating cylindrical shells
Week 8: The Rayleigh Ritz method for approximating natural frequencies and modeshapes
Week 9: The Rayleigh Ritz method applied to plates and shells
Week 10: Forced response of plates and shells using modal summation
Week 11: Forced response of a cylindrical shell
Week 12: Vibrations of connected structures: The Receptance method
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