Stochastic Topology Optimization of Continuum Structure Based on Stochastic Perturbation

China Mechanical Engineering ›› 2012, Vol. 23 ›› Issue (17): 2080-2083.

Previous Articles Next Articles

Stochastic Topology Optimization of Continuum Structure Based on Stochastic Perturbation

Li Jingkui1;Zhang Yimin2

1.Shenyang Aerospace University,Shenyang,110136
2.Northeastern University, Shenyang, 110819

Online:2012-09-10 Published:2012-09-12
Supported by:

Supported by Program for Changjiang Scholars and Innovative Research Team in University（No. IRT0816）;

National Science and Technology Major Project ( No. 2010ZX04014-014);

National Natural Science Foundation of China（No. 51135003, 50875039）;
The National Key Technology R&D Program（No. 2009BAG12A02-A07-2）

基于随机摄动有限元的连续体随机拓扑优化设计

李景奎1;张义民2

1.沈阳航空航天大学,沈阳,110136
2.东北大学,沈阳,110819

基金资助:
长江学者和创新团队发展计划资助项目(IRT0816)；国家科技重大专项(2010ZX04014-014)；国家自然科学基金资助项目(51135003, 50875039)；“十一五”国家科技支撑计划资助项目(2009BAG12A02-A07-2)
Supported by Program for Changjiang Scholars and Innovative Research Team in University（No. IRT0816）;

National Science and Technology Major Project ( No. 2010ZX04014-014);

National Natural Science Foundation of China（No. 51135003, 50875039）;
The National Key Technology R&D Program（No. 2009BAG12A02-A07-2）

Abstract

Abstract:

A concept of STOD of continuum structure was proposed. Assuming the random parameters of the continuum to meet normal distribution, according to the mean and variance of random parameters, by using method of stochastic perturbation finite element analysis (SFEA), the unit stress's mean and variance were calculated.Using linear congruential random number generators (LCGs), the pseudo-randoms of unit stress were obtained. The unit stress Euclidean distance was used to be as the criterion, and the stochastic topology optimization of continuum structure was gotten by K nearest neighbor (KNN).Finally, the numerical examples were given. 

Key words: topology optimization, K nearest neighbor, stochastic perturbation, stochastic topology optimization design(STOD)

摘要：

提出了连续体结构随机拓扑优化设计（STOD）的概念。假定连续体的随机参数满足正态分布,根据随机参数的均值和方差,利用随机摄动有限元理论（SFEA）求出连续体单元应力的均值和方差,利用线性同余法(LCGs)产生伪随机数,得到单元应力的伪随机数值,继而以单元应力的欧氏距离为判别标准,利用K邻近算法（KNN）对连续体结构进行拓扑优化设计,最后给出了计算示例。


关键词: 拓扑优化, K邻近;随机摄动;随机拓扑优化

CLC Number:

TH122

LI Jing-Kui-1, ZHANG Xi-Min-2. Stochastic Topology Optimization of Continuum Structure Based on Stochastic Perturbation[J]. China Mechanical Engineering, 2012, 23(17): 2080-2083.

李景奎1, 张义民2. 基于随机摄动有限元的连续体随机拓扑优化设计[J]. 中国机械工程, 2012, 23(17): 2080-2083.

[1]	YANG Feng, LUO Shijie, YANG Jianghong, WANG Yingjun, . A GPU-accelerated High-efficient Multi-grid Algorithm for ITO [J]. China Mechanical Engineering, 2024, 35(04): 602-613.
[2]	SU Yonglei, ZHANG Zhifei. Integrated Casting Triangular Beam Lightweight Improving with Multi-performance Constraints of Body Systems [J]. China Mechanical Engineering, 2024, 35(04): 691-699.
[3]	LI Rongqi, YAN Tao, HE Zhicheng, MI Dong, JIANG Chao, ZHENG Jing. A Topology Optimized Design Method for High-performance Structures with Fluid-thermal-mechanics Coupling [J]. China Mechanical Engineering, 2024, 35(03): 487-497.
[4]	WANG Chao, CHENG Aiguo, ZHANG Chenglin, YU Wanyuan, HE Zhicheng. Lightweight Design of Protective Structures of Battery Packs for Bottom-scraping Safety [J]. China Mechanical Engineering, 2023, 34(19): 2343-2352.
[5]	LIU Yingjie, HU Qiang, ZHAO Xinming, ZHANG Shaoming, HUANG Shuai, WANG Yonghui. Research on Topology Optimization and Additive Manufacturing of Automotive Engine Connection Brackets [J]. China Mechanical Engineering, 2023, 34(18): 2238-2267.
[6]	DONG Xiaohu, WANG Shitao, ZHOU Dechun. High Rigidity and Lightweight Design of Purlins in Photovoltaic Tracker Bracket [J]. China Mechanical Engineering, 2023, 34(10): 1207-1213.
[7]	WEN Guilin, CHEN Gaoxi, WANG Hongxin, XUE Liang, WEI Peng, LIU Jie, . Time Domain Dynamics Topology Optimization of Functionally Gradient Material Structures with Self-weight Load [J]. China Mechanical Engineering, 2022, 33(23): 2774-2782.
[8]	DING Yandong, LUO Nianmeng, YANG Aodi, WANG Shuting, ZHU Haoran, XIE Xianda. Efficient Multigrid Isogeometric Topology Optimization under Bézier Element Stiffness Mapping [J]. China Mechanical Engineering, 2022, 33(23): 2801-2810.
[9]	YANG Yuhao, ZHENG Wei, WANG Yingjun, . An Efficient Isogeometric Topology Optimization Method Using DOF Reduction and Convergence Acceleration [J]. China Mechanical Engineering, 2022, 33(23): 2811-2821.
[10]	MENG Liang, ZHONG Mingzhe, LI Wenbiao, XIA Liang, GAO Tong, ZHU Jihong, ZHANG Weihong, . Topology Optimization Design of Aero-engine External System Brackets for Additive Manufacturing [J]. China Mechanical Engineering, 2022, 33(23): 2822-2832.
[11]	JIA Lianhui, LI Xiaoke, YUAN Wenzheng, HE Wenbin, LIAO Zhaojin. Lightweight Design of Front and Middle Shield Structures Based on Topology Optimization and Kriging Model [J]. China Mechanical Engineering, 2022, 33(23): 2888-2897.
[12]	HE Zhicheng, YANG Dingding, JIANG Chao, WU Yi, JIANG Hexin. Strength-constrainted Topology Optimization Based on Additive Manufacturing Anisotropy [J]. China Mechanical Engineering, 2022, 33(19): 2372-2380，2393.
[13]	ZHANG Heng, DING Xiaohong, SHEN Lei, XU Shipeng. Topology Optimization of Sandwich Damping Composite Structure with Connective Constraint [J]. China Mechanical Engineering, 2021, 32(20): 2403-2410.
[14]	LI Xinqing, ZHAO Qinghai, ZHANG Hongxin, ZHANG Tiezhu, CHEN Jianliang. Steady-state Heat Conduction Topology Optimization Design for Periodic Functional Gradient Structures [J]. China Mechanical Engineering, 2021, 32(19): 2348-2356.
[15]	NIU Bin, YAN Jiaming, MAO Yuming, LIU Haiyang. Collaborative Design Optimization of Damping Layers and Stiffener Layout of Thin-walled Stiffened Plate Structures for Dynamics Performances [J]. China Mechanical Engineering, 2021, 32(16): 1912-1920.

Stochastic Topology Optimization of Continuum Structure Based on Stochastic Perturbation

基于随机摄动有限元的连续体随机拓扑优化设计

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics