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Variational Solution for an Initial Conditions Problem

[+] Author and Article Information
C. P. Filipich

Mechanical Systems Analysis Group, Universidad Technológica Nacional and Department of Engineering, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina

M. B. Rosales

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

Appl. Mech. Rev 50(11S), S50-S55 (Nov 01, 1997) doi:10.1115/1.3101850 History: Online April 20, 2009

Abstract

An initial conditions problem is addressed by first transforming it into a boundary value one. An appropriate functional and an extremizing sequence are proposed. The methodology has been previously named WEM (Whole Element Method) by the authors. In the present paper, this name is justified since division of the time domain is avoided even when loads with finite number of impulses of arbitrary duration are involved. The method is theoretically founded by theorems and corolaries. Their statements are included in the work. A numerical example of an undamped single degree of freedom (SDOF) system subjected to a rectangular impulse load is carried out. Comparison is made with the well-known classical solution.

Copyright © 1997 by American Society of Mechanical Engineers
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