Overview
- Provides comprehensive and rigorous mathematical treatment within an unprecedentedly refined mathematical model
- Illustrates applications of the boundary integral equation method to new problems
- Constructs easily approximated solutions
- First book of its kind
- Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Stationary Oscillations of Elastic Plates
Book Subtitle: A Boundary Integral Equation Analysis
Authors: Gavin R. Thomson, Christian Constanda
DOI: https://doi.org/10.1007/978-0-8176-8241-5
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-0-8176-8240-8Published: 01 July 2011
eBook ISBN: 978-0-8176-8241-5Published: 28 June 2011
Edition Number: 1
Number of Pages: XIII, 230
Number of Illustrations: 4 b/w illustrations
Topics: Integral Equations, Vibration, Dynamical Systems, Control, Mathematical Methods in Physics, Partial Differential Equations