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Vibrations of Elastic Systems: With Applications to Mems and Nems

by Edward B. Magrab

2020-07-23 02:25:30

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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 suc... Read more

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.

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Book Details

File size9.25 X 6.1 X 0 in
Print pages489
PublisherSpringer
Publication date January 16, 2012
LanguageEnglish
ISBN9789400726710
autor-image
Edward B. Magrab
Author
Edward B. Magrab is Emeritus Professor in the Department of Mechanical Engineering at the University of Maryland at College Park. He has extensive experience in analytical and experimental analysis of...

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