Robust multi-physical-material topology optimization with thermal-self-weight uncertain loads

Abstract

Most topology optimization techniques for enhanced designs rely on the premise of deterministic loads. Nevertheless, in actuality, variables such as placements, weights, and orientations of applied loads may inadvertently fluctuate. Deterministic load-based designs may exhibit suboptimal structural performance in the presence of loading uncertainties. Uncertain aspects must be considered in topological optimization to provide robust outcomes. This work introduces an innovative robust multi-physics topology optimization technique for the design of multi-materials in response to unforeseen load variations. A combination of thermo-mechanical and self-weight loads, along with loading uncertainties, is provided based on the extended SIMP technique to achieve resilient designs. The optimized structures can be concurrently refined by minimizing the weighted sum of predicted compliance and standard deviation. The impact of self-weight and heat loads is examined through various cases to validate the proposed strategy.