Stationary Oscillations of Elastic Plates ─ A Boundary Integral Equation Analysis

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.