Optimal Design of Elastic Beams for Moving Loads
Publication: Journal of Engineering Mechanics
Volume 117, Issue 1
Abstract
The problem of minimizing the volume (weight) of an elastic beam subjected to a compliance constraint is the subject of this paper. Specifically, the necessary conditions for the minimum volume are established for the case of beams, consisting of longitudinal segments of different constant cross‐sectional areas, subjected to moving loads. Two examples are considered, one for a moving concentrated load and the second for a distributed load. The results are the load location, the segment lengths and areas, and therefore the volume of the beam. For the case of the concentrated load, additional results are considered if the segment lengths are predetermined. That is, the load location and segment areas are established. The results are presented for beam cross sections that are sandwich type with different sheet thickness, solid cross sections of different widths and different depths.
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References
1.
Haghnaji, P. (1987). “Optimal design of elastic structures under moving loads subject to various constraint conditions,” thesis presented to the University of Illinois, at Chicago, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Haung, E. J., and Arona, J. S. (1979). Applied optimal design. John Wiley and Sons, Inc., New York, N.Y., 55.
3.
Masur, E. F. (1974). “Optimal structural design for a discrete set of available structural members.” Comput. Methods Appl. Mech. Engrg., 3, 195–207.
4.
Shen, C. Y., and Prager, W. (1968). “Minimum‐weight design with piecewise constant specific stiffness.” J. Optim. Theory Appl., 2, 179–186.
5.
Szelag, D., and Mroz, Z. (1978). “Optimal design of elastic beams with unspecified support conditions.” ZAMM, 58, 501–510.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 1 • January 1991
Pages: 154 - 165
Copyright
Copyright © 1991 ASCE.
History
Published online: Jan 1, 1991
Published in print: Jan 1991
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