Vibration and Coupling of Continuous Systems
Subtitle: Asymptotic Methods
By: edited by J. Sanchez Hubert, E. Sanchez Palencia
Contributors: Palencia, E. Sanchez
Publisher: Springer Berlin Heidelberg
Published: 1989
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 421
ISBN-13: 9783642737848; 9783642737824
Subjects: Mechanics; Global analysis (Mathematics); Physics; Mathematical physics
Description: Real problems concerning vibrations of elastic structures are among the most fascinating topics in mathematical and physical research as well as in applications in the engineering sciences. This book addresses the student familiar with the elementary mechanics of continua along with specialists. The authors start with an outline of the basic methods and lead the reader to research problems of current interest. An exposition of the method of spectra, asymptotic methods and perturbation is followed by applications to linear problems where elastic structures are coupled to fluids in bounded and unbounded domains, to radiation of immersed bodies, to local vibrations, to thermal effects and many more.
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Table of contents: title: Classical Theory of Vibration for Systems with Infinitely Many Degrees of Freedom; title: Some Classical Vibration Problems; title: Elements of Operator Theory; title: Examples of Nonstandard Vibrations and Coupling; title: Spectral Perturbation; title: Formal Perturbation Methods; title: Perturbation of Vibrating Systems; title: The Helmholtz Equation in Unbounded Domains; title: Scattering Problems Depending on a Parameter. Elastic Structure-fluid Interaction in Unbounded Domains; title: References; title: Index.