This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures.
Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, viscous fluid loading, in-plane forces, and proof mass interactions with their elastic supports. These effects are analyzed as single degree-of-freedom models and as more realistic elastic structures. The governing equations and boundary conditions for beams, plates, and shells with interior and boundary attachments are derived by applying variational calculus to an expression describing the energy of the system. The advantages of this approach regarding the generation of orthogonal functions and the Rayleigh-Ritz method are demonstrated.
A large number of graphs and tables are given to show the impact of various factors on the systems' natural frequencies, mode shapes, and responses.
- ISBN13 9789400795259
- Publish Date 22 February 2014 (first published 1 January 2012)
- Publish Status Active
- Publish Country NL
- Imprint Springer
- Edition 2012 ed.
- Format Paperback
- Pages 492
- Language English