Robust Topology Optimization of Periodic Structures under Uncertain Dynamic Loads

doi:10.3901/JME.2024.23.304

Abstract

Abstract: The periodic structure attracts widespread attention in the structure design of aerospace, energy power and other fields due to the light weight and energy absorption performance. However, most of the existing works of topology optimization for periodic structures only considers the effects of static loads. Considering the inevitable existing of dynamic loads in practical engineering and the impact of loads uncertainty on the design results, it is necessary to carry out the periodic structure topology optimization method under dynamic loads uncertainty. Comprehensive considering the uncertainty of the dynamic load magnitude, direction, position, and excitation frequency, the weighted summation of mean and standard deviation of the module of dynamic structure compliance is set as the objective function with constraint is imposed to the structure volume fraction. The hybrid dimension reduction method and Gaussian integration method are used to quantify and propagate the loads uncertainty and the sensitivity formulation of objective function with respect to the design variables are derived. Two numerical examples are used to verify the effectiveness of the proposed method and the influence of dynamic loads uncertainty on the topology optimization design of periodic structures.

Key words: periodic structure, robustness, topological optimization, dynamic loads, load uncertainty

CLC Number:

TH122
O327

CAI Jinhu, HUANG Jing, HUANG Long, FU Zhifang, WU Hongyu, YIN Lairong. Robust Topology Optimization of Periodic Structures under Uncertain Dynamic Loads[J]. Journal of Mechanical Engineering, 2024, 60(23): 304-319.

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