Overview
- Employs a systematic and consistent approach to the development of the subject
- Presents new analytical and numerical results
- Can be used as a design guide to determine the impact of parameter choices on system characteristics
- Can be used as a reference for quickly finding governing equations for beams, plates, and shells subject to a wide combination of boundary conditions
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 184)
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Table of contents (7 chapters)
Keywords
- Elastic systems
- Elastic systems
- Elastic systems
- Elastic systems
- Elastic systems
- Elastic systems
- MEMS
- MEMS
- MEMS
- MEMS
- MEMS
- MEMS
- Mode shapes
- Mode shapes
- Mode shapes
- Mode shapes
- Mode shapes
- Mode shapes
- Natural frequencies
- Natural frequencies
- Natural frequencies
- Natural frequencies
- Natural frequencies
- Natural frequencies
- Vibrations
- Vibrations
- Vibrations
- Vibrations
- Vibrations
- Vibrations
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Vibrations of Elastic Systems
Book Subtitle: With Applications to MEMS and NEMS
Authors: Edward B. Magrab
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-94-007-2672-7
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media B.V. 2012
Hardcover ISBN: 978-94-007-2671-0Published: 19 January 2012
Softcover ISBN: 978-94-007-9525-9Published: 22 February 2014
eBook ISBN: 978-94-007-2672-7Published: 12 January 2012
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XVI, 492
Topics: Vibration, Dynamical Systems, Control, Solid Mechanics, Mechanical Engineering