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New Type of Optimality Criteria Method in Case of Probabilistic Loading Conditions#

New Type of Optimality Criteria Method in Case of Probabilistic Loading Conditions# Abstract The aim of this paper is to introduce a new type of stochastic optimal topology design method where the loads are given randomly. The standard stochastic mathematical programming problem is based on penalized minimum weight design procedure subjected to a probabilistic compliance constraint due to the loading uncertainties. If the probability of the compliance constraint is given by the use of recommendation of Prekopa this probabilistic expression can be substituted with an equivalent one and used as a deterministic constraint in the original problem. In the numerical method, optimality criteria procedure is applied. The application is illustrated by numerical examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics Based Design of Structures and Machines Taylor & Francis

New Type of Optimality Criteria Method in Case of Probabilistic Loading Conditions#

Mechanics Based Design of Structures and Machines , Volume 35 (2): 16 – Apr 11, 2007
16 pages

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References (25)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1539-7742
eISSN
1539-7734
DOI
10.1080/15397730701243066
Publisher site
See Article on Publisher Site

Abstract

Abstract The aim of this paper is to introduce a new type of stochastic optimal topology design method where the loads are given randomly. The standard stochastic mathematical programming problem is based on penalized minimum weight design procedure subjected to a probabilistic compliance constraint due to the loading uncertainties. If the probability of the compliance constraint is given by the use of recommendation of Prekopa this probabilistic expression can be substituted with an equivalent one and used as a deterministic constraint in the original problem. In the numerical method, optimality criteria procedure is applied. The application is illustrated by numerical examples.

Journal

Mechanics Based Design of Structures and MachinesTaylor & Francis

Published: Apr 11, 2007

Keywords: Compliance; Minimum weight design; Normal distribution; Optimal design; Optimality criteria; Probability; Stochastic programming; Topology optimization

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