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CLC number: TH11

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2016-11-11

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Bao-tong Li

http://orcid.org/0000-0002-8935-0378

Jun Hong

http://orcid.org/0000-0002-0724-3422

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Journal of Zhejiang University SCIENCE A 2016 Vol.17 No.12 P.933-946

http://doi.org/10.1631/jzus.A1500328


A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation


Author(s):  Bao-tong Li, Su-na Yan, Jun Hong

Affiliation(s):  The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xian Jiaotong University, Xian 710049, China

Corresponding email(s):   baotong.me@mail.xjtu.edu.cn, jhong_email@163.com

Key Words:  Topology optimization, Adaptive growth, Stiffness design, Stiffener layout, Harmonic force excitation


Bao-tong Li, Su-na Yan, Jun Hong. A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation[J]. Journal of Zhejiang University Science A, 2016, 17(12): 933-946.

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doi="10.1631/jzus.A1500328"
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%A Jun Hong
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T1 - A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation
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Abstract: 
The aim of this study is to explore the potential of various plant ramifications as concept generators for creating a brand topology optimization solution for stiffness design of continuum structures under harmonic force excitations. Firstly, a mathematical model is built to identify analytical laws that underlie the optimality of the effective but individual design rules of existing leaf venation morphogenesis. Then, a new evolutionary algorithm is developed to find the optimal topology of stiffened structures under harmonic force excitations. Candidate stiffeners are treated as being alive, growing at locations with a maximum displacement response gradient along the structural surface. Since the scale of the candidate stiffeners can be adaptively expanded or reduced during the simulation, computational resources could be saved, thereby enhancing the flexibility of topology optimization. Finally, the suggested approach is applied to a case study in which the displacement amplitude at specified locations is defined as the objective and the volume of added stiffeners as the constraint. The simulation process shows how the stiffness design of continuum structures can be conducted automatically using this bionic approach.

Interesting work for the stiffener layout design problem of stiffened plate/Shell structures subjected to harmonic exciting force. By utilizing the adaptive growth mechanism of leaf venation, an evolutionary design algorithm is proposed with the objective to minimize the displacement response amplitude at specified locations.

简谐力激励下结构的生长式拓扑优化方法

目的:振动在机械结构的工作中难以避免,且会显著降低机械结构的工作性能。因此,结构动力响应优化设计就显得尤为重要。本文旨在提出一种有效的简谐力激励下的结构拓扑优化方法,通过合理设计结构内加强筋的布局,减小结构特定位置处的位移响应幅值,提高结构的固有频率。
概要:植物叶脉可以有效地支撑叶片以抵抗自然界中的风载。本文将植物叶脉分叉构型的最优性用于简谐力激励下结构的加强筋布局设计。首先对简谐力激励下结构的位移响应进行分析。在此基础上,构建以最小化结构特定位置处位移响应幅值为目标的生长式拓扑优化模型。然后,从数学优化的角度,分析加强筋的生长应遵循的规律,提出生长式拓扑优化的数值实现算法。最后通过数值算例证明了本文所提方法的有效性。

关键词:拓扑优化;适应性生长;刚度设计;加强筋布局;简谐力激励

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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