http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Vibration and Coupling of Continuous Systems
1 online resource (xv, 421 pages 88 illustrations)
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.
Classical Theory of Vibration for Systems with Infinitely Many Degrees of Freedom -- Some Classical Vibration Problems -- Elements of Operator Theory -- Examples of Nonstandard Vibrations and Coupling -- Spectral Perturbation -- Formal Perturbation Methods -- Perturbation of Vibrating Systems -- The Helmholtz Equation in Unbounded Domains -- Scattering Problems Depending on a Parameter. Elastic Structure-fluid Interaction in Unbounded Domains -- References -- Index.
edited by J. Sanchez Hubert, E. Sanchez Palencia.