Vibrations & Dynamics
£3.75
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Vibrations & Dynamics
£3.75
Topics in this product include free and forced vibration for 1-DOF and n-DOF systems, mode shapes and modal coordinates, Duhamel's integral, and Lagrange's equations of motion.
This is a 12-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.
StructuresPage-by-page contents
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Page-by-page contents
- 01Dynamic equilibrium for 1 DOF, solving equation for free vibrations, equation of equilibrium for n DOF
- 02Eigenvalues, free undamped vibrations, double pendulum
- 03Orthogonality property of mode shapes, modal coordinates, summary
- 04Example: double pendulum
- 05Periodic loading 1 DOF undamped, periodic loading 1 DOF damped
- 06Periodic loading n DOF undamped and damped, physical and modal space
- 07Summary of 1 DOF vibrations, derivation of Duhamel's integral
- 08Example, double pendulum
- 09Example: periodic and transient loading, elastic, undamped, continuous beam, under free vibrations
- 10Example: free vibrations of beam with simply supported ends, mathematical background
- 11Hamilton's principle, Lagrange's equations of motion
- 12Spring-mass system, examples