书目名称 | Stationary Oscillations of Elastic Plates |
副标题 | A Boundary Integral |
编辑 | Gavin R. Thomson,Christian Constanda |
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概述 | Provides comprehensive and rigorous mathematical treatment within an unprecedentedly refined mathematical model.Illustrates applications of the boundary integral equation method to new problems.Constr |
图书封面 |  |
描述 | .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 equations. .The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.. |
出版日期 | Book 2011 |
关键词 | boundary integral equations; elastic plates; elliptic partial differential equations; potential methods |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-8241-5 |
isbn_ebook | 978-0-8176-8241-5 |
copyright | Springer Science+Business Media, LLC 2011 |