Vibrations of Elastic Systems

Vibrations of Elastic Systems With Applications to MEMS and NEMS - Solid Mechanics and Its Applications

2012nd edition

Paperback (22 Feb 2014)

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Publisher's Synopsis

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.

Book information

ISBN: 9789400795259
Publisher: Springer Netherlands
Imprint: Springer
Pub date:
Edition: 2012nd edition
Language: English
Number of pages: 492
Weight: 771g
Height: 235mm
Width: 155mm
Spine width: 28mm