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

^#Communicated by S. Kaliszky.

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.

Keywords:

• Compliance
• Minimum weight design
• Normal distribution
• Optimal design
• Optimality criteria
• Probability
• Stochastic programming
• Topology optimization

ACKNOWLEDGMENT

The present study was supported by The Hungarian National Scientific and Research Foundation (OTKA K 62555).

Notes

^#Communicated by S. Kaliszky.