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.
Sprache
Verlagsort
Verlagsgruppe
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Dateigröße
ISBN-13
978-3-642-73782-4 (9783642737824)
DOI
10.1007/978-3-642-73782-4
Schweitzer Klassifikation
I Classical Theory of Vibration for Systems with Infinitely Many Degrees of Freedom.- II Some Classical Vibration Problems.- III Elements of Operator Theory.- IV Examples of Nonstandard Vibrations and Coupling.- V Spectral Perturbation.- VI Formal Perturbation Methods.- VII Perturbation of Vibrating Systems.- VIII The Helmholtz Equation in Unbounded Domains.- IX Scattering Problems Depending on a Parameter. Elastic Structure-Fluid Interaction in Unbounded Domains.- References.
