Full Text:   <845>

Summary:  <283>

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

 ORCID:

Bao-tong Li

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

Jun Hong

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

-   Go to

Article info.
Open peer comments

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

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, 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.

@article{title="A growth-based topology optimizer for stiffness design of continuum structures under harmonic force excitation",
author="Bao-tong Li, Su-na Yan, Jun Hong",
journal="Journal of Zhejiang University Science A",
volume="17",
number="12",
pages="933-946",
year="2016",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1500328"
}

%0 Journal Article
%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
%N 12
%P 933-946
%@ 1673-565X
%D 2016
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1500328

TY - JOUR
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
ER -
DOI - 10.1631/jzus.A1500328


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

Reference

[1]Alvin, K., 1997. Efficient computation of eigenvector sensitivities for structural dynamics. AIAA Journal, 35(11):1760-1766.

[2]Benz, M., Kovalev, A., Gorb, S., 2012. Anisotropic frictional properties in snakes. Proceedings of SPIE 8339, Bioinspiration, Biomimetics, and Bioreplication, CA, USA, p.1-6.

[3]Bhogal, S.S., Sindhu, C., Dhami, S.S., et al., 2015. Minimization of surface roughness and tool vibration in CNC milling operation. Journal of Optimization, 2015:192030.

[4]Campa, F.J., Lopez de Lacalle, L.N., Celaya, A., 2011. Chatter avoidance in the milling of thin floors with bull-nose end mills: model and stability diagrams. International Journal of Machine Tools and Manufacture, 51(1):43-53.

[5]Díaz-Tena, E., Rodríguez-Ezquerro, A., López de Lacalle Marcaide, L.N., et al., 2014. A sustainable process for material removal on pure copper by use of extremophile bacteria. Journal of Cleaner Production, 84:752-760.

[6]Ding, X., Yamazaki, K., 2004. Stiffener layout design for plate structures by growing and branching tree model (application to vibration-proof design). Structural and Multidisciplinary Optimization, 26(1-2):99-110.

[7]Gaul, L., Becker, J., 2014. Reduction of structural vibrations by passive and semiactively controlled friction dampers. Shock and Vibration, 2014:870564.

[8]Graham, E., Mehrpouya, M., Park, S.S., 2013. Robust prediction of chatter stability in milling based on the analytical chatter stability. Journal of Manufacturing Processes, 15(4):508-517.

[9]Haber, R., Bendsoe, M., Jog, C., 1996. A new approach to variable-topology shape design using a constraint on the perimeter. Structural Optimization, 11:1-12.

[10]Herranz, S., Campa, F.J., Lopez de Lacalle, L.N., et al., 2005. The milling of airframe components with low rigidity: a general approach to avoid static and dynamic problems. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 219(11):789-801.

[11]Li, B., Hong, J., Wang, Z., et al., 2013a. An innovative layout design methodology for stiffened plate/shell structures by material increasing criterion. Journal of Engineering Materials and Technology, 135(2):1-11.

[12]Li, B., Hong, J., Yan, S., et al., 2013b. Multidiscipline topology optimization of stiffened plate/shell structures inspired by growth mechanisms of leaf veins in nature. Mathematical Problems in Engineering, 2013:653895.

[13]Li, F., Liu, W., Fu, X., et al., 2012. Jumping like an insect: design and dynamic optimization of a jumping minirobot based on bio-mimetic inspiration. Mechatronics, 22(2):167-176.

[14]Li, G., Wang, W., Li, H., 2013. Experiment and application of market-based control for engineering structures. Journal of Applied Mathematics, 2013:219537.

[15]Li, X., Shen, Y., Wang, S., 2011. Dynamic modeling and analysis of the large-scale rotary machine with multi-supporting. Shock and Vibration, 18(1-2):53-62.

[16]Liu, H., Zhang, W., Zhu, J., 2013. Structural topology optimization and frequency influence analysis under harmonic force excitations. Chinese Journal of Theoretical and Applied Mechanics, 45(4):588-597.

[17]Liu, H., Zhang, W., Gao, T., 2015. A comparative study of dynamic analysis methods for structural topology optimization under harmonic force excitations. Structural and Multidisciplinary Optimization, 51(6):1321-1333.

[18]Liu, W., Gong, J., Liu, X., et al., 2009. A kind of innovative design methodology of wind turbine blade based on natural structure. Second International Conference on Information and Computing Science, Manchester, UK, 4:350-354.

[19]Liu, Y., Li, T.X., Liu, K., et al., 2016. Chatter reliability prediction of turning process system with uncertainties. Mechanical Systems and Signal Processing, 66-67:232-247.

[20]Meehan, P.A., 2002. Vibration instability in rolling mills: modeling and experimental results. Journal of Vibration and Acoustics, 124(2):221-228.

[21]Palmer, J., Paez, T., 2011. Dynamic response of an optomechanical system to a stationary random excitation in the time domain. Shock and Vibration, 18(5):747-758.

[22]Rashid, A., Ramli, R., Haris, S., et al., 2014. Improving the dynamic characteristics of body-in-white structure using structural optimization. The Scientific World Journal, 2014:1-11.

[23]Senba, A., Oka, K., Takahama, M., et al., 2013. Vibration reduction by natural frequency optimization for manipulation of a variable geometry truss. Structural and Multidisciplinary Optimization, 48(5):939-954.

[24]Tsai, T., Cheng, C., 2013. Structural design for desired eigenfrequencies and mode shapes using topology optimization. Structural and Multidisciplinary Optimization, 47(5):673-686.

[25]Viadero, F., Bueno, J.I., Lopez de Lacalle, L.N., et al., 1994. Reliability computation on stiffened bending plates. Advances in Engineering Software, 20(1):43-48.

[26]Wetherhold, R., Padliya, P.S., 2014. Design aspects of nonlinear vibration analysis of rectangular orthotropic membranes. Journal of Vibration and Acoustics, 136(3):034506.

[27]Whalley, R., Abdul-Ameer, A.A., Ebrahimi, K.M., 2011. The axes response and resonance identification for a machine tool. Mechanism and Machine Theory, 46(8):1171-1192.

[28]Zhang, Z., Karimi, H., Huang, H., et al., 2014. Vibration control of a semiactive vehicle suspension system based on extended state observer techniques. Journal of Applied Mathematics, 2014:248297.

[29]Zhou, M., Rozvany, G., 1991. The COC algorithm, part II: topological, geometry and generalized shape optimization. Computer Methods in Applied Mechanics and Engineering, 89:309-336.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE