Vibration and Damping in Distributed Systems, Volume 2

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CRC Press, Sep 22, 1993 - Mathematics - 400 pages
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Vibration and Damping in Distributed Systems, Volume II discusses asymptotic methods, including equations with variable coefficients, asymptotic estimates of eigenfrequencies of membranes and plates, WKB approximations and the wave propagation method of Keller and Rubinow, which are developed and applied to scattering problems. The book provides data on the Rayleigh and max-min methods, Courant's nodal domain theorem, the numerical methods of finite-element, boundary-element and spectral types, and an asymptotic method due to Bolotin. Computer graphics are used to enhance understanding and motivate intuition concerning vibration phenomena.
The book exhibits a collection of eigenmodes of membranes and plates. It illustrates special effects associated with focusing, whispering gallery and bouncing ball, as well as dynamic motion sequences of a membrane and a plate. Issues involved in experimental determination of internal damping rates and mechanisms in elastic beams are discussed.
 

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Contents

Space
1
frequency domain test 269
5
Multidimensional Spaces
59
Miscellaneous Methods
158
Distributions Sobolev Spaces and Boundary Value
161
Visualization
184
Strongly Continuous Semigroups of Evolution
198
tion Cosemigroups in a Banach space
234
puted by the boundary element method
250
the boundary element method
258
The Method of Energy Identities
309
Remarks on Experimental Determination of Modal
321
Appendix II
348
Bibliography 415
361
Index II
364
Copyright

puted by the boundary element method
243

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Texas A&M University

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