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Stationary Oscillations of Elastic Plates

Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin e...

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Detalles Bibliográficos
Autores principales: Thomson, Gavin R, Constanda, Christian
Lenguaje:eng
Publicado: Springer 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-0-8176-8241-5
http://cds.cern.ch/record/1414068
Descripción
Sumario:Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equa