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A compliance based design problem of structures under multiple load cases

By A. Makrodimopoulos, A. Bhaskar and A.J. Keane

Abstract

There are two popular methods concerning<br/>the optimal design of structures. The first is the min-<br/>imization of the volume of the structure under stress<br/>constraints. The second is the minimization of the com-<br/>pliance for a given volume. For multiple load cases an<br/>arising issue is which energy quantity should be the<br/>objective function. Regarding the sizing optimization of trusses, Rozvany proved that the solution of the es-<br/>tablished compliance based problems leads to results<br/>which are awkward and not equivalent to the solutions<br/>of minimization of the volume under stress constraints,<br/>unlike under single loading 1. In this paper, we intro-<br/>duce the “envelope strain energy” problem where we<br/>minimize the volume integral of the worst case strain<br/>energy of each point of the structure. We also prove<br/>that in the case of sizing optimization of statically non-<br/>indeterminate2 trusses, this compliance method gives<br/>the same optimal design as the stress based design method.<br/

Topics: T1
Year: 2010
OAI identifier: oai:eprints.soton.ac.uk:155971
Provided by: e-Prints Soton

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Citations

  1. (1992). Truss topology design under multiple loading. DFG-Report (FSP Applied Optimization and Control), No 367, University of Bayreuth, FRG Achtziger W

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