Copied Stationary Oscillations of Elastic Plates
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 ofstationaryvibrations of thin elastic plates. The techniquespresented herereduce the complexity of classical elasticity to a system of two independent variables, modeling problemsof flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. The book isintended foran audiencewith 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 engineerswhose work involveselastic plates. Graduate students in these fieldscan also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
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