Robust Topology Optimization Designs of Structures under Multiple Constraints Stochastic Loads

Shi Jun; Rong Jianhua; Yu Liaohong; Tang Chengtie; Zhao Aiqiong

doi:10.13433/j.cnki.1003-8728.20180046

Volume 37 Issue 10

Oct. 2018

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Article Navigation > Mechanical Science and Technology for Aerospace Engineering > 2018 > 37(10): 1581-1588

Shi Jun, Rong Jianhua, Yu Liaohong, Tang Chengtie, Zhao Aiqiong. Robust Topology Optimization Designs of Structures under Multiple Constraints Stochastic Loads[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(10): 1581-1588. doi: 10.13433/j.cnki.1003-8728.20180046

Citation:

Shi Jun, Rong Jianhua, Yu Liaohong, Tang Chengtie, Zhao Aiqiong. Robust Topology Optimization Designs of Structures under Multiple Constraints Stochastic Loads[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(10): 1581-1588. doi: 10.13433/j.cnki.1003-8728.20180046

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Robust Topology Optimization Designs of Structures under Multiple Constraints Stochastic Loads

doi: 10.13433/j.cnki.1003-8728.20180046

1.
School of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410076, China;
2.
Key Laboratory of Lightweight and Reliability Technology for Engineering Vehicle, College of Hunan Province, Changsha 410114, China;
3.
Key Laboratory of Safety Design and Reliability Technology for Engineering Vehicle, Changsha 410114, China;
4.
School of Physical Science and Technology Yichun University, Jiangxi Yichun 336000, China

Received Date: 2017-06-23
Publish Date: 2018-10-05

Abstract

Abstract

Considering stochastic cases of load values and directions, a robust structural topology optimization method for weighted sum minimizing problem of the expected value of the compliance and its variance with a volume constraint and multiple displacement constraints is proposed to obtain a clear optimal topology. Firstly, the explicit approximate expressions of the compliance expected value, its variance and their derivatives are derived. Secondly, the set of algorithms for robust structural topology optimization designs with multiple constraints are given, being integrated with an feasible domain adjustment scheme. The effects of the weighted coefficients of the expected value and variance of the compliance on the optimized solutions, and the effects of the multiple displacement constraints on the robustness of the optimal topology are investigated. The simulation examples show that the present method is feasible and effective, and can be adopted to obtain a series of clear topology configurations and a robust optimal topology.
- structural topology optimization,
- feasible domain adjustment,
- compliance optimization,
- stochastic load,
- displacement constraint

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References(19)

References

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