Vibrations of Elastic Systems: With Applications to MEMS and NEMS (Solid Mechanics and Its Applications, Band 184) - Softcover

Buch 44 von 151: Solid Mechanics and Its Applications

Magrab, Edward B.

 
9789400795259: Vibrations of Elastic Systems: With Applications to MEMS and NEMS (Solid Mechanics and Its Applications, Band 184)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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 vibrations and acoustics, served as an engineering consultant to numerous companies, and authored and co-authored books on vibrations, environmental noise control, instrumentation, integrated product design, advanced engineering mathematics, statistics, MATLAB®, and Mathematica®. He is a Life Fellow of the American Society of Mechanical Engineers.

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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.

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Weitere beliebte Ausgaben desselben Titels

9789400726710: Vibrations of Elastic Systems: With Applications to MEMS and NEMS (Solid Mechanics and Its Applications, Band 184)

Vorgestellte Ausgabe

ISBN 10:  9400726716 ISBN 13:  9789400726710
Verlag: Springer, 2012
Hardcover