Vibration and Damping in Distributed Systems, Volume II: 1st Edition (Hardback) book cover

Vibration and Damping in Distributed Systems, Volume II

1st Edition

By Goong Chen, Jianxin Zhou

CRC Press

400 pages

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Hardback: 9780849371622
pub: 1993-09-22
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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.

Table of Contents

The WKB Method for Eigenvalue Problems I: Space Dimension One. The WKB Method for Eigenvalue Problems II: Multidimensional Spaces. Miscellaneous Methods. Visualization. Remarks on Experimental Determination of Modal Damping Rates in Elastic Beams. Appendices. Bibliography. Index.

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Studies in Advanced Mathematics

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