Optimal structural design for given deflection under periodic loading-Reference-Cited by-同舟云学术

Optimal structural design for given deflection under periodic loading

Published:1971 Issue:2 Volume:29 Page:315-318
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Plaut Raymond H.

Abstract

This paper is concerned with the minimum-weight design of structures subjected to periodic loading, under the constraint of a prescribed deflection at a specified point of the structure. For elastic sandwich beams, the method of stationary mutual potential energy is extended to cover periodic loading and a sufficient condition for stationary weight is derived.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1971-29-02/S0033-569X-1971-99758-9/S0033-569X-1971-99758-9.pdf

Reference7 articles.

1. L. J. Icerman, Optimal structural design for given dynamic deflection, Intemat. J. Solids & Structures 5, 473–490 (1969)

2. R. T. Shield and W. Prager, Optimal structural design for given deflection, Z. Angew. Math. Phys. 21, 513–523 (1970)

3. Optimal design of rotating disk for given radial displacement of edge;Chern, J. M.;J. Optim. Theory Appl.,1970

4. J. M. Chern, Optimal structural design for given deflection in presence of body forces, J. Optimization Theory & Appls. (to appear)

5. W. Prager, Optimal thermoelastic design for given deflection, Internat. J. Mech. Sci. 12, 705–709 (1970)

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3. Minimum weight design of vibrating continuous beams for a given deflection;Acta Mechanica;1989-06

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