Multi-objective reliability-based topology optimization of structures using a fuzzy set model
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DOI 10.1007/s12206-020-2207-8
Journal of Mechanical Science and Technology 34 (0) 2020 Original Article DOI 10.1007/s12206-020-2207-8 Keywords: · Fuzzy set model · Multi-objective optimization · Possibility · Reliability · Topology optimization
Correspondence to: Suwin Sleesongsom [email protected]
Citation: Sleesongsom, S., Bureerat, S. (2020). Multi-objective reliability-based topology optimization of structures using a fuzzy set model. Journal of Mechanical Science and Technology 34 (0) (2020) ?~?. http://doi.org/10.1007/s12206-020-2207-8
Received April 22nd, 2020 Revised
May 19th, 2020
Accepted May 19th, 2020 † This paper was presented at ICMR2019, Maison Glad Jeju, Jeju, Korea, November 27-29, 2019. Recommended by Guest Editor Insu Jeon
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Multi-objective reliability-based topology optimization of structures using a fuzzy set model Suwin Sleesongsom1 and Sujin Bureerat2 1
Department of Aeronautical Engineering, International Academy of Aviation Industry, King Mongkut’s 2 Institute of Technology Ladkrabang, Bangkok 10520, Thailand, Sustainable and Infrastructure Development Center, Department of Mechanical Engineering, Faculty of Engineering, KhonKaen University, KhonKaen City 40002, Thailand
Abstract
This research proposes a multi-objective reliability-based topology optimization (MORBTO) for structural design, which considers uncertain structural parameters based on a fuzzy set model. The new technique is established in the form of multi-objective optimization where the equivalent possibilistic safety index (EPSI) is included as one of the objective functions along with mass, and compliance. This technique can reduce complexity due to a doubleloop nest problem used previously due to performing single objective optimization. The present technique can accomplish within one optimization run using a multi-objective approach. Two design examples are used to demonstrate the present technique, which have the objectives as structural mass and compliance with the constraint of structural strength. The results show the proposed technique is effective and simple compared to previous techniques.
1. Introduction Design processes for derivative-free topology optimization has been developed [1, 2] though it is still far from using in reality. The design process always depends on material properties, external loading and other conditions. If uncertainties of such parameters take place, obtained deterministic optimum design results may be less reliable [3]. To address such a problem, there are two main strategies to account for uncertainties in topology optimization, robust topology optimization (RTO) [4] and reliability-based topology optimization (RBTO) [5]. The first technique is to optimize the expectation and variability of system performance with respect to uncertainties simultaneously, through which the robustness of system performance can be improved, while the second is concerned with failure probab
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