Generalized SDOF Systems
A procedure similar to the one used for rigid bodies
systems can be applied to deformable bodies,
The procedure can be formalized to the so called "Rayleigh method" for computing an estimate of the first mode of vibration of, and we demonstrate that Rayleigh estimates have a lower bound in the true frequency of vibration of the system.
Good estimates require an assumed shape of vibration that's a good approximation of the true shape of vibration; we will see what discriminates a good from a bad shape, that is respect of the external constraints and a realistic distribution of internal stresses.
Starting from the above discussion of
Material available for this class:
- the slides i used for my lesson
- a ready to print version of the slides
Further material
I would like to remind you that a number of detailed solutions of the assignment of the previous years are available
Other solutions for even older problem sets are hidden in the site... well, hidden is not the right word!