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CLC number: TH11

On-line Access: 2016-12-06

Received: 2015-12-07

Revision Accepted: 2016-04-18

Crosschecked: 2016-11-11

Cited: 0

Clicked: 2071

Citations:  Bibtex RefMan EndNote GB/T7714


Bao-tong Li


Jun Hong


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


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, Xi’an Jiaotong University, Xi’an 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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%T A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation
%A Bao-tong Li
%A Su-na Yan
%A Jun Hong
%J Journal of Zhejiang University SCIENCE A
%V 17
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%@ 1673-565X
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1500328

T1 - A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation
A1 - Bao-tong Li
A1 - Su-na Yan
A1 - Jun Hong
J0 - Journal of Zhejiang University Science A
VL - 17
IS - 12
SP - 933
EP - 946
%@ 1673-565X
Y1 - 2016
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1500328

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.




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