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Structural and Multidisciplinary Optimization

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05-07-2018 | RESEARCH PAPER

Robust topology optimization of skeletal structures with imperfect structural members

Authors: Babak Ahmadi, Mehdi Jalalpour, Alireza Asadpoure, Mazdak Tootkaboni

Published in: Structural and Multidisciplinary Optimization | Issue 6/2018

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Abstract

A topology optimization framework is proposed for robust design of skeletal structures with stochastically imperfect structural members. Imperfections are modeled as uncertain members’ out-of-straightness using curved frame elements in the form of predefined functions with random magnitudes throughout the structure. The stochastic perturbation method is used for propagating the imperfection uncertainty up to the structural response level, and the expected value of performance measure or constraint is used to form the stochastic topology optimization problem. Sensitivities are derived explicitly using the adjoint method and are used in conjunction with an efficient gradient-based optimizer in search for robust optimal topologies. Topological designs for three representative examples are investigated with the proposed algorithm and the resulting topologies are compared with the deterministic designs. It is observed that the new designs primarily feature load path diversification, which is pronounced with increasing level of uncertainty, and occasionally member thickening to mitigate the impact of the uncertainty in members’ out-of-straightness on structural performance.

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Title: Robust topology optimization of skeletal structures with imperfect structural members
Authors: Babak Ahmadi
Mehdi Jalalpour
Alireza Asadpoure
Mazdak Tootkaboni
Publication date: 05-07-2018
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 6/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-018-2035-y

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