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An efficient approach to reliability-based topology optimization for continua under material uncertainty

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Abstract

This contribution presents a computationally efficient method for reliability-based topology optimization for continuum domains under material properties uncertainty. Material Young’s modulus is assumed to be lognormally distributed and correlated within the domain. The computational efficiency is achieved through estimating the response statistics with stochastic perturbation of second order, using these statistics to fit an appropriate distribution that follows the empirical distribution of the response, and employing an efficient gradient-based optimizer. Two widely-studied topology optimization problems are examined and the changes in the optimized topology is discussed for various levels of target reliability and correlation strength. Accuracy of the proposed algorithm is verified using Monte Carlo simulation.

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Acknowledgments

The authors would like to thank Dr. Alireza Asadpoure for the fruitful discussions pertaining to topology optimization work. The second author acknowledges the support of National Science Foundation through grant No. CMMI 1401575.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Cleveland State University, Cleveland, OH, 44115, USA

    Mehdi Jalalpour

  2. Department of Civil and Environmental Engineering, University of Massachusetts, Dartmouth, MA, 02747, USA

    Mazdak Tootkaboni

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  1. Mehdi Jalalpour
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  2. Mazdak Tootkaboni
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Correspondence to Mehdi Jalalpour.

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Jalalpour, M., Tootkaboni, M. An efficient approach to reliability-based topology optimization for continua under material uncertainty. Struct Multidisc Optim 53, 759–772 (2016). https://doi.org/10.1007/s00158-015-1360-7

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  • DOI: https://doi.org/10.1007/s00158-015-1360-7

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