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Alternative Approach for the Exact Solution of the Forced Vibrations of Beams

[+] Author and Article Information
Carlos P. Filipich

Mechanical Systems Analysis Group, FRBB, Universidad Tecnológica Nacional, and Department of Engineering, Universidad Nacional del Sur, 8000 Bahia Blanca, Argentina

Marta B. Rosales

Department of Engineering, Universidad Nacional del Sur, 8000 Bahia Blanca, Argentina

Appl. Mech. Rev 48(11S), S96-S101 (Nov 01, 1995) doi:10.1115/1.3005089 History: Online April 29, 2009

Abstract

The present work is an extension of a tool vastly used by the authors to solve static boundary problems in one, two, and even three dimensions. It consists in a so-called generalized solution with special trigonometric Fourier functions to solve the equations of motion of beams. An important theorem that guarantees that the classic answer is attained through an alternative way is demonstrated. In other words, it is a variational methodology to solve differential equations in engineering. An example solved numerically completes the present proposal.

Copyright © 1995 by The American Society of Mechanical Engineers
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