Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Optimal Topologies in Case of Probabilistic Loading: The Influence of Load Correlation#

Optimal Topologies in Case of Probabilistic Loading: The Influence of Load Correlation# Abstract In the proposed probabilistic topology optimization method, the minimum penalized weight design of the structure is subjected to probabilistic compliance and side constraints. The calculation of the compliance value is based on the assumption that the magnitude of the loads has uncertainties so that their joint normal distribution functions, mean values, and covariances are known and a minimum probability value is given. Applying an appropriate approximation, the original problem is replaced by a deterministic one. By the use of the optimality conditions, an updated iterative design formulation is presented. Several new topology design problems are calculated with randomly given loads. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics Based Design of Structures and Machines Taylor & Francis

Optimal Topologies in Case of Probabilistic Loading: The Influence of Load Correlation#

22 pages

Loading next page...
 
/lp/taylor-francis/optimal-topologies-in-case-of-probabilistic-loading-the-influence-of-vV0kImEM2Y

References (24)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1539-7742
eISSN
1539-7734
DOI
10.1080/15397730902936328
Publisher site
See Article on Publisher Site

Abstract

Abstract In the proposed probabilistic topology optimization method, the minimum penalized weight design of the structure is subjected to probabilistic compliance and side constraints. The calculation of the compliance value is based on the assumption that the magnitude of the loads has uncertainties so that their joint normal distribution functions, mean values, and covariances are known and a minimum probability value is given. Applying an appropriate approximation, the original problem is replaced by a deterministic one. By the use of the optimality conditions, an updated iterative design formulation is presented. Several new topology design problems are calculated with randomly given loads.

Journal

Mechanics Based Design of Structures and MachinesTaylor & Francis

Published: Jul 31, 2009

Keywords: Compliance; Joint distribution; Optimal design; Optimality criteria; Probability; Stochastic programming; Topology optimization

There are no references for this article.