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Vibration of Continuous Systems, 2nd Edition
book

Vibration of Continuous Systems, 2nd Edition

by Singiresu S. Rao
March 2019
Intermediate to advanced content levelIntermediate to advanced
816 pages
24h 41m
English
Wiley
Content preview from Vibration of Continuous Systems, 2nd Edition

5Derivation of Equations: Integral Equation Approach

5.1 INTRODUCTION

In this chapter we describe the integral formulation of the equations of motion governing the vibration of continuous systems. An integral equation is an equation in which the unknown function appears under one or more signs of integration. The general form of an integral equation is given by

where images is a known function of the variables t and images and is called the kernel or nucleus, images is an unknown function, images and images are known functions, and a and b are known limits of integration. The function images which satisfies Eq. (5.1) is called the solution of the integral Eq. (5.1). Physically, Eq. (5.1) relates the present value of the function to the sum or integral of what had happened to all its previous values, , from the previous ...

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Publisher Resources

ISBN: 9781119424147Purchase book