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Structural and Multidisciplinary Optimization

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20-11-2015 | RESEARCH PAPER

Structural topology optimization under constraints on instantaneous failure probability

Authors: Junho Chun, Junho Song, Glaucio H. Paulino

Published in: Structural and Multidisciplinary Optimization | Issue 4/2016

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Abstract

Accurate prediction of stochastic responses of a structure caused by natural hazards or operations of non-structural components is crucial to achieve an effective design. In this regard, it is of great significance to incorporate the impact of uncertainty into topology optimization of structures under constraints on their stochastic responses. Despite recent technological advances, the theoretical framework remains inadequate to overcome computational challenges of incorporating stochastic responses to topology optimization. Thus, this paper presents a theoretical framework that integrates random vibration theories with topology optimization using a discrete representation of stochastic excitations. This paper also discusses the development of parameter sensitivity of dynamic responses in order to enable the use of efficient gradient-based optimization algorithms. The proposed topology optimization framework and sensitivity method enable efficient topology optimization of structures under stochastic excitations, which is successfully demonstrated by numerical examples of structures under stochastic ground motion excitations.

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Title: Structural topology optimization under constraints on instantaneous failure probability
Authors: Junho Chun
Junho Song
Glaucio H. Paulino
Publication date: 20-11-2015
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 4/2016
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-015-1296-y

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