考虑多约束和载荷随机性的稳健结构拓扑优化设计

石军; 荣见华; 俞燎宏; 唐承铁; 赵爱琼

doi:10.13433/j.cnki.1003-8728.20180046

考虑多约束和载荷随机性的稳健结构拓扑优化设计

doi: 10.13433/j.cnki.1003-8728.20180046

石军¹,
荣见华^1,2, ,,
俞燎宏^1,4,
唐承铁^1,3,
赵爱琼^1,3

1.
长沙理工大学汽车与机械工程学院, 长沙 410076;
2.
长沙理工大学工程车辆轻量化与可靠性技术湖南省高校重点实验室, 长沙 410114;
3.
长沙理工大学工程车辆安全性设计与可靠性技术湖南省重点实验室, 长沙 410114;
4.
宜春学院物理科学与工程技术学院, 江西宜春 336000

基金项目:

国家自然科学及基金项目（11372055，11772070）资助

详细信息

作者简介:
石军(1989-),博士研究生,研究方向为结构动力学与优化设计,1457921836@qq.com

通讯作者:
荣见华,教授,博士生导师,博士,rongjhua@aliyun.com

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- 文章访问数: 377
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- 被引次数: 0
出版历程
- 收稿日期: 2017-06-23
- 刊出日期: 2018-10-05

Robust Topology Optimization Designs of Structures under Multiple Constraints Stochastic Loads

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

摘要

摘要: 考虑载荷大小和方向的不确定性，以结构柔顺度的期望和方差的加权和为目标函数，结构体积及多个结构位移为约束函数，研究可获得清晰优化拓扑的稳健结构多约束拓扑优化方法。给出了载荷大小和方向不确定情况下结构柔顺度期望和方差及其导数的显式近似式。结合可行域调整方案，提出具有收敛特征的结构体积和多位移约束的稳健结构柔顺度拓扑优化设计方法。研究了结构柔顺度期望和方差的权重因子对拓扑构型的影响，探讨了位移约束对结构稳健性的影响规律。算例表明，方法是可行和有效的，且可获得一系列清晰的拓扑构型和稳健的优化拓扑。
- 结构拓扑优化 /
- 可行域调整 /
- 柔顺度优化 /
- 随机载荷 /
- 位移约束
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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参考文献(19)

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