Vibrations of Elastic Systems: With Applications to Mems and Nems
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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 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.
Format:Paperback
Language:English
ISBN:9400795254
ISBN13:9789400795259
Release Date:February 2014
Publisher:Springer
Length:492 Pages
Weight:1.54 lbs.
Dimensions:1.1" x 6.1" x 9.0"
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Engineering Science Science & Math Science & Scientists Science & Technology TechnologyCustomer Reviews
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