Topology optimization of structures under band harmonic excitation using improved adaptive quadrature method
In structural topology optimization under band harmonic excitation, inaccurate integration values may lead to incorrect topology optimization results, such as the inclusion of a large number of gray elements or islands. To address this problem, this work proposes an improved adaptive quadrature meth...
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| Published in | Engineering structures Vol. 326; p. 119528 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0141-0296 |
| DOI | 10.1016/j.engstruct.2024.119528 |
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| Abstract | In structural topology optimization under band harmonic excitation, inaccurate integration values may lead to incorrect topology optimization results, such as the inclusion of a large number of gray elements or islands. To address this problem, this work proposes an improved adaptive quadrature method and its restart criterion. When the restart criterion is satisfied, the subintervals divided in the previous iteration step are rolled back and reused in the subsequent integral calculation, which ensures the accuracy of the integral and effectively reduces the number of error estimations in the integral calculation. At the same time, considering that the structure topology optimization under band harmonic excitation with a non-zero starting frequency and ending frequency exceeding the first resonance frequency cannot obtain a feasible engineering configuration, an optimization model with the static response of the structure as a weighted part of the objective function is introduced. The improved adaptive quadrature method is integrated into structural topology optimization under band harmonic excitation. Three examples are given to illustrate the practicality and effectiveness of the proposed method.
•The topology optimization of structures under band harmonic excitation is investigated.•An improved adaptive quadrature method and its restart criterion are proposed.•The method prevents the occurrence of infeasible configurations during topology optimization.•The method gives accurate integral values and reduces optimization time. |
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| AbstractList | In structural topology optimization under band harmonic excitation, inaccurate integration values may lead to incorrect topology optimization results, such as the inclusion of a large number of gray elements or islands. To address this problem, this work proposes an improved adaptive quadrature method and its restart criterion. When the restart criterion is satisfied, the subintervals divided in the previous iteration step are rolled back and reused in the subsequent integral calculation, which ensures the accuracy of the integral and effectively reduces the number of error estimations in the integral calculation. At the same time, considering that the structure topology optimization under band harmonic excitation with a non-zero starting frequency and ending frequency exceeding the first resonance frequency cannot obtain a feasible engineering configuration, an optimization model with the static response of the structure as a weighted part of the objective function is introduced. The improved adaptive quadrature method is integrated into structural topology optimization under band harmonic excitation. Three examples are given to illustrate the practicality and effectiveness of the proposed method.
•The topology optimization of structures under band harmonic excitation is investigated.•An improved adaptive quadrature method and its restart criterion are proposed.•The method prevents the occurrence of infeasible configurations during topology optimization.•The method gives accurate integral values and reduces optimization time. |
| ArticleNumber | 119528 |
| Author | Lai, Siu-Kai Zhong, Huixiang Zhao, Xuqi Ou, Zhihao Wu, Baisheng |
| Author_xml | – sequence: 1 givenname: Zhihao surname: Ou fullname: Ou, Zhihao organization: School of Electro-Mechanical Engineering, Guangdong University of Technology, Guangzhou 510006, PR China – sequence: 2 givenname: Baisheng surname: Wu fullname: Wu, Baisheng organization: School of Electro-Mechanical Engineering, Guangdong University of Technology, Guangzhou 510006, PR China – sequence: 3 givenname: Siu-Kai surname: Lai fullname: Lai, Siu-Kai email: sk.lai@polyu.edu.hk organization: Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, PR China – sequence: 4 givenname: Xuqi surname: Zhao fullname: Zhao, Xuqi organization: College of Mathematics and Computer, Jilin Normal University, Siping 136000, PR China – sequence: 5 givenname: Huixiang surname: Zhong fullname: Zhong, Huixiang organization: School of Electro-Mechanical Engineering, Guangdong University of Technology, Guangzhou 510006, PR China |
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| Cites_doi | 10.1016/j.ymssp.2021.107998 10.1007/s00158-014-1218-4 10.1002/nme.2065 10.1007/s00158-010-0594-7 10.1016/j.jsv.2018.12.030 10.1016/j.engstruct.2022.114140 10.1016/0045-7825(94)00714-X 10.1016/0045-7825(88)90086-2 10.1016/j.jsv.2011.07.026 10.1080/15376494.2022.2030444 10.1002/nme.1620350707 10.1137/S0895479888151111 10.1007/s00158-007-0101-y 10.1016/j.cma.2010.02.002 10.1016/j.cma.2018.09.022 10.1145/108556.108575 10.1007/s00158-017-1714-4 10.1145/321526.321537 10.1002/nme.6374 10.1006/jsvi.2001.4075 10.1007/s001580100129 10.1016/j.cam.2009.08.073 10.1007/BF01214002 10.1002/nme.484 10.1016/j.jsv.2017.12.015 10.1007/s001580050130 10.1007/s10999-022-09637-2 10.1007/s00158-015-1328-7 10.1016/j.jsv.2018.06.003 10.1137/S1052623499362822 10.1016/j.advengsoft.2018.10.001 |
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| Keywords | Topology optimization Restart criterion Numerical integration Band harmonic excitation Adaptive quadrature algorithm |
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| SubjectTerms | Adaptive quadrature algorithm Band harmonic excitation Numerical integration Restart criterion Topology optimization |
| Title | Topology optimization of structures under band harmonic excitation using improved adaptive quadrature method |
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