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Thematische Bibliographien / Multi-objective topology optimization / Zeitschriftenartikel

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Zeitschriftenartikel zum Thema „Multi-objective topology optimization“

Autor: Grafiati

Veröffentlicht am 30. Juni 2021

Zuletzt aktualisiert am 29. Juli 2025

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1

Lee, Chen Jian Ken, and Hirohisa Noguchi. "515 Multi-objective topology optimization involving 3D surfaces." Proceedings of The Computational Mechanics Conference 2008.21 (2008): 233–34. http://dx.doi.org/10.1299/jsmecmd.2008.21.233.

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2

Kunakote, Tawatchai, and Sujin Bureerat. "Multi-objective topology optimization using evolutionary algorithms." Engineering Optimization 43, no. 5 (2011): 541–57. http://dx.doi.org/10.1080/0305215x.2010.502935.

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3

MARUO, Akito, Norihiko ITANI, Ayano HASOME, Takashi YAMAZAKI, and Hajime IGARASHI. "Multi-objective topology design optimization combined with robust optimization." Journal of Advanced Mechanical Design, Systems, and Manufacturing 17, no. 3 (2023): JAMDSM0038. http://dx.doi.org/10.1299/jamdsm.2023jamdsm0038.

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4

Ma, Yue, Qilin Shu, Longjun Tan, and Chen Tian. "Multi-objective Topology Optimization Design for a Certain Launcher Bracket." Innovation & Technology Advances 2, no. 2 (2024): 46–58. http://dx.doi.org/10.61187/ita.v2i2.118.

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To achieve weight reduction and enhance the firing accuracy of a specific type of launch device, the bracket was selected as the optimization subject for multi-objective topology optimization. Single-objective optimization often overlooks other influencing factors. To address the limitations of single-objective optimization, this study adopts the variable density method from the SIMP approach and proposes a multi-objective topology optimization based on compromise programming. This study, through multi-objective topology optimization of the bracket, obtained an optimized topology structure tha

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Li, Qiding, Zhengping Huang, Ketian Li, Xiying Wang, Cheng Yu, and Bing Li. "Multi-objective topology optimization simulation study based on motor." Journal of Physics: Conference Series 2791, no. 1 (2024): 012067. http://dx.doi.org/10.1088/1742-6596/2791/1/012067.

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Abstract OptiStruct software is applied for structural optimization of the motor structure to solve the problem of resonance in a specific operating frequency range and reduce the motor operating noise. Comparing the experimental and simulated modal frequencies, a modified multi-objective topology optimization model is proposed to ensure the validity of the model, and a new optimization function is constructed to optimize the multi-objective topology of the motor housing. The results show that the geometric reconfiguration of the motor housing concerning the optimized model force transmission

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Li, Guyang, Lin Li, Zhigang Peng, and Sanbao Hu. "Multi-objective Topology Optimization of the Temperature Field Considering the Material Nonlinearities." Journal of Physics: Conference Series 2441, no. 1 (2023): 012018. http://dx.doi.org/10.1088/1742-6596/2441/1/012018.

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Abstract This paper presents a multi-objective topology optimization method for the temperature field considering the material nonlinearities. Although a large number of papers have studied the topology optimizations of the heat transfer problems, none of them considered the influence of the material nonlinearity properties. In this paper, the material nonlinearity is considered. Based on the nonlinear assumption, the mathematical model of the corresponding topology optimization is presented first. Then, the sensitivities of the objectives and the constraints respect to the design variables ar

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王, 长浩. "Multi-Objective Topology Optimization of Industrial Robot Arm." Mechanical Engineering and Technology 11, no. 06 (2022): 675–85. http://dx.doi.org/10.12677/met.2022.116077.

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8

Hu, Siyang, Ulrike Fitzer, Khai Chau Nguyen, Dennis Hohlfeld, Jan G. Korvink, and Tamara Bechtold. "Multi-Objective Topology Optimization of a Broadband Piezoelectric Energy Harvester." Micromachines 14, no. 2 (2023): 332. http://dx.doi.org/10.3390/mi14020332.

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In recent years, topology optimization has proved itself to be state of the art in the design of mechanical structures. At the same time, energy harvesting has gained a lot of attention in research and industry. In this work, we present a novel topology optimization of a multi-resonant piezoelectric energy-harvester device. The goal is to develop a broadband design that can generate constant power output over a range of frequencies, thus enabling reliable operation under changing environmental conditions. To achieve this goal, topology optimization is implemented with a combined-objective func

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Bian, Xiang, Zong De Fang, Kun Qin, Lifei Lian, and Bao Yu Zhang. "Multi-Objective Topology Optimization for Bevel Gear and Geometrical Reconstruction." Applied Mechanics and Materials 278-280 (January 2013): 139–42. http://dx.doi.org/10.4028/www.scientific.net/amm.278-280.139.

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Usually the gear modification is a main measure to reduce the vibration and noise of the gears, but in view of the complexity of the gear modification, topology optimization method was used to optimize the structure of the gear. The minimum volume was set as the direct optimization goal. To achieve the target of reducing contact stress, tooth root bending stress and improving flexibility, the upper bound of the stress and lower bound of the flexibility were set appropriately, thus realizing multi-objective optimization indirectly. A method for converting topology result into parametric CAD mod

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Gong, Yunyi, Yoshitsugu Otomo, and Hajime Igarashi. "Multi-objective topology optimization of magnetic couplers for wireless power transfer." International Journal of Applied Electromagnetics and Mechanics 64, no. 1-4 (2020): 325–33. http://dx.doi.org/10.3233/jae-209337.

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In this paper, the multi-objective topology optimizations of wireless power transfer (WPT) devices with two different coil geometries are proposed for obtaining the designs with good balance between transfer efficiency and safety. For this purpose, the proposed method adopts the normalized Gaussian network (NGnet) and Non-dominated Sorting Genetic Algorithm II (NSGA-II). In addition, the optimization under the different constraint on ferrite volume is carried out to verify its influence on optimization results. It has been shown that the proposed method successfully provides the Pareto solutio

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Li, Yana, Di Meng, and Zeyang Zhang. "Research on multi-condition topology optimization design of stainless steel spot welding vehicle considering weight coefficient." Journal of Physics: Conference Series 2338, no. 1 (2022): 012057. http://dx.doi.org/10.1088/1742-6596/2338/1/012057.

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Abstract A multi-condition topology optimization research method with weight coefficients is proposed to optimize the topological optimization of solder joints of stainless steel spot welding vehicle. Based on the SIMP variable density method, the compromise planning method, the orthogonal experiment design method, the gray correlation method, the entropy weight method and the analytic hierarchy process are used to introduce the weight coefficients, and objective function of the multi-objective topology optimization of the welding points of the stainless steel spot welding vehicle is establish

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Wei, Chao, Shui Guang Tong, Zhong Xiu Fei, and Xue Mei Lin. "Multi-Objective Topology Optimization Design of a Large Marine Gearbox." Applied Mechanics and Materials 201-202 (October 2012): 325–28. http://dx.doi.org/10.4028/www.scientific.net/amm.201-202.325.

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Multi-objective topology optimization was studied for layout and structural optimization of a large marine gear-box to minimize its weight, while guaranteeing its strength and rigidity. After determining design domain and multiple load cases, static structure stiffness and the first order natural frequency was defined as optimization objectives. Based on SIMP(solid isotropic material with penalization) method, the topology optimization model of the box structure was set up. Furthermore, by taking into account of manufacturability, the optimal structure was obtained. Comparing to the original d

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Yang, Shu Yi, Hong Li, and Yang Bin Ou. "Topology Optimization of Suspension of the Hard Disk Drive Based on SIMP Method." Advanced Materials Research 819 (September 2013): 356–61. http://dx.doi.org/10.4028/www.scientific.net/amr.819.356.

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in order to guarantee the reliability of the hard disk drive data read/write and slider positioning accuracy, the suspension first order bending frequency, first order torsional frequency, first order sway frequency single objective topology optimization model which were based on solid isotropic elastic material penalty (SIMP) method were put forward, and the suspension multi-objective topology optimization model was defined by using the weighted method. Through the topology optimization design the hard disk drive suspension new topological structure was obtained. The results show that hard di

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Liu, Zhi Jun, Wei Gang Zheng, and Xiao Le Li. "Multi-Objective Frame Optimization Design of Steering Pump Bracket." Advanced Materials Research 971-973 (June 2014): 584–87. http://dx.doi.org/10.4028/www.scientific.net/amr.971-973.584.

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By analyzing stress contours and deformation contours of the primary bracket, we can know that bracket material is more, contours proves too safe for bracket strength and stiffness. To improve the material utilization rate, topology optimization for bracket is carried by using topology module (DOE) of finite element analysis software workbench14.0. the main design parameter was set up, accordingly to accomplish analysis about the relationship between design parameter with quality. on the basis of analysis results, we improved primary structure that made the bracket quality reduced by 10% and e

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Zuliani, João Batista Queiroz, Miri Weiss Cohen, Lucas de Souza Batista, and Frederico Gadelha Guimarães. "Multi-objective Topology Optimization with Ant Colony Optimization and Genetic Algorithms." Computer-Aided Design and Applications 12, no. 6 (2015): 674–82. http://dx.doi.org/10.1080/16864360.2015.1033328.

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16

Queiroz Zuliani, João Batista, Miri Weiss Cohen, Frederico Gadelha Guimarães, and Carlos Alberto Severiano Junior. "A multi-objective approach for multi-material topology and shape optimization." Engineering Optimization 51, no. 6 (2018): 915–40. http://dx.doi.org/10.1080/0305215x.2018.1514501.

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17

LI, Dongmei. "Multi-objective Topology Optimization of Thermo-mechanical Compliant Mechanisms." Chinese Journal of Mechanical Engineering 24, no. 06 (2011): 1123. http://dx.doi.org/10.3901/cjme.2011.06.1123.

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18

Borovinšek, Matej, Nejc Novak, Matej Vesenjak, Zoran Ren, and Miran Ulbin. "Designing 2D auxetic structures using multi-objective topology optimization." Materials Science and Engineering: A 795 (September 2020): 139914. http://dx.doi.org/10.1016/j.msea.2020.139914.

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19

Simonetti, Hélio Luiz, Valério S. Almeida, Francisco de Assis das Neves, and Marcelo Greco. "Multi-objective topology optimization using the Boundary Element Method." Structures 19 (June 2019): 84–95. http://dx.doi.org/10.1016/j.istruc.2018.12.002.

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20

Aguilar Madeira, J. F., H. Rodrigues, and Heitor Pina. "Multi-objective optimization of structures topology by genetic algorithms." Advances in Engineering Software 36, no. 1 (2005): 21–28. http://dx.doi.org/10.1016/j.advengsoft.2003.07.001.

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21

Guo, Weian, Ming Chen, Lei Wang, and Qidi Wu. "Hyper multi-objective evolutionary algorithm for multi-objective optimization problems." Soft Computing 21, no. 20 (2016): 5883–91. http://dx.doi.org/10.1007/s00500-016-2163-5.

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22

Miler, Daniel, Matija Hoić, Rudolf Tomić, Andrej Jokić, and Robert Mašović. "Simultaneous Multi-Objective and Topology Optimization: Effect of Mesh Refinement and Number of Iterations on Computational Cost." Computation 13, no. 7 (2025): 168. https://doi.org/10.3390/computation13070168.

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In this study, a multi-objective optimization procedure with embedded topology optimization was presented. The procedure simultaneously optimizes the spatial arrangement and topology of bodies in a multi-body system. The multi-objective algorithm determines the locations of supports, joints, active loads, reactions, and load magnitudes, which serve as inputs for the topology optimization of each body. The multi-objective algorithm dynamically adjusts domain size, support locations, and load magnitudes during optimization. Due to repeated topology optimization calls within the genetic algorithm

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Xu, Weikai, Jinying Ning, Zibin Lin, Wuchao Qi, Hongliang Liu, and Wei Wang. "Multi-objective topology optimization of two-dimensional multi-phase microstructure phononic crystals." Materials Today Communications 22 (March 2020): 100801. http://dx.doi.org/10.1016/j.mtcomm.2019.100801.

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24

Zhong, Wei, Ruiyi Su, Liangjin Gui, and Zijie Fan. "Multi-objective topology and sizing optimization of bus body frame." Structural and Multidisciplinary Optimization 54, no. 3 (2016): 701–14. http://dx.doi.org/10.1007/s00158-016-1431-4.

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25

Doi, Shuhei, Hidenori Sasaki, and Hajime Igarashi. "Multi-Objective Topology Optimization of Rotating Machines Using Deep Learning." IEEE Transactions on Magnetics 55, no. 6 (2019): 1–5. http://dx.doi.org/10.1109/tmag.2019.2899934.

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26

Xu, Xian, Yafeng Wang, and Yaozhi Luo. "An improved multi-objective topology optimization approach for tensegrity structures." Advances in Structural Engineering 21, no. 1 (2017): 59–70. http://dx.doi.org/10.1177/1369433217706780.

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27

Xiao, Denghong, Hai Zhang, Xiandong Liu, Tian He, and Yingchun Shan. "Novel steel wheel design based on multi-objective topology optimization." Journal of Mechanical Science and Technology 28, no. 3 (2014): 1007–16. http://dx.doi.org/10.1007/s12206-013-1174-8.

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28

Wang, Ping, Zhou Lan, and Xiao Yang Shen. "Weight Reduction Design of Gear Drive Based on Parameter and Structural Optimization." Advanced Materials Research 139-141 (October 2010): 1406–10. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1406.

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. For a medium or large-sized gear drive, in order to achieve the optimum weight reduction effect, an approach of weight reduction design is proposed that multi-objective optimization of gear parameters is carried out firstly, and then structural optimization is adopted to design the gear former. The rational design parameters of a gear drive are determined by the multi-objective optimization with minimizing the sum of gear volumes and the equivalent moment of inertia of input shaft (EMI) synchronously. Conceptual design of the former is given by structural topology optimization of the gear, a

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Nebro, Antonio J., Enrique Alba, and Francisco Luna. "Multi-Objective Optimization using Grid Computing." Soft Computing 11, no. 6 (2006): 531–40. http://dx.doi.org/10.1007/s00500-006-0096-0.

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30

Meng, Xiangchao, Youping Sun, Jiangmei He, Wangzhen Li, and Zhifeng Zhou. "Multi-Objective Lightweight Optimization Design of the Aluminium Alloy Front Subframe of a Vehicle." Metals 13, no. 4 (2023): 705. http://dx.doi.org/10.3390/met13040705.

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The aluminium alloy front subframe of an automobile was developed through multi-operating condition topology optimization and multi-objective optimization methods. By considering the influences of loads on the strength, static stiffness, and modal of the aluminium alloy front subframe under typical operating conditions, the performance parameters of the aluminium alloy front subframe after topology optimization were obtained. After topology optimization was performed, the parametric model of the aluminium alloy front subframe was established. Based on the Isight optimization platform, sample p

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Liu, Zhuchun, Zhen Liu, and Haisheng Feng. "Multi-objective robust design of the front structure of white body." Journal of Physics: Conference Series 2951, no. 1 (2025): 012024. https://doi.org/10.1088/1742-6596/2951/1/012024.

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Abstract The software platform developed was applied to the multi-objective robust design of the pure electric vehicle body structure, which was obtained through topology optimization under multiple working conditions. Based on the response observation values obtained from the simulation analysis, a multi-objective robust design is carried out to obtain the optimal combination of optimized structural dimensions, completing the multi-objective robust design of the body structure. Through the application of the developed multi-objective robust parametric optimization software, the safety of the

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Schleifer, Felix, and Kevin Deese. "Genotype-Phenotype Mapping for Applied Evolutionary Multi-Objective and Multi-Physics Topology Optimization." Applied Mechanics 3, no. 4 (2022): 1399–416. http://dx.doi.org/10.3390/applmech3040080.

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We present a multi-objective topology optimization method based on the Non-Sorting Genetic Algorithm II (NSGA-II). The presented approach is a tool for early-stage engineering applications capable of providing insights into the complex relationship between structural features and the performance of a design without a priori assumptions about objective space. Mass reduction, linear elastic deformation, and stationary thermal conduction are considered simultaneously with three additional constraints. The specifically developed genotype-phenotype mapping ensures the practical benefit of obtained

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Sleesongsom, Suwin, Sumit Kumar, and Sujin Bureerat. "Multi-Objective Reliability-Based Partial Topology Optimization of a Composite Aircraft Wing." Symmetry 15, no. 2 (2023): 305. http://dx.doi.org/10.3390/sym15020305.

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Reliability-based partial topology optimization (RBPTO) is a new approach for aircraft structural design; however, it brings computational complexity and makes aeroelasticity analysis quite challenging. Therefore, the present study proposed the multi-objective reliability-based partial topology optimization of a composite aircraft wing using a fuzzy-based metaheuristic (MRBPTOFBMH) approach. The objective is to obtain an optimal layout including partial topology and sizing of the aircraft wing structure. Here, an optimal aeroelastic structure is designed by taking into account the uncertain na

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Feng, Shuo, Xing Wu, Qidong Han, Jun Qi, and Xuan Zhang. "Novel multi-objective topology optimization method for stiffness and stress of continuum structures." Advances in Mechanical Engineering 14, no. 12 (2022): 168781322211457. http://dx.doi.org/10.1177/16878132221145794.

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In this paper, a topology optimization method combining Bi-directional Evolutionary Structural Optimization (BESO) and Fast Non-dominated Sorting Genetic Algorithm II (NSGA-II) is proposed, which is called BESO-NSGA-II. To effectively fuse the two algorithms, a semi-random double-penalized crossover and mutation operator is developed. The proposed algorithm extends the traditional single-objective optimization to a double objective optimization problem, and investigates the influence of the stress norm parameters on the optimization results. To verify the effectiveness of the new method, sever

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Wang, Kai, De Sheng Yang, and Da Wei Ma. "Multi-Objective Structure Optimization Design of a Car Lower Control Arm." Advanced Materials Research 774-776 (September 2013): 420–27. http://dx.doi.org/10.4028/www.scientific.net/amr.774-776.420.

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A multi-objective structure optimization design of a car lower control arm was operated in order to improve both compliance and eigenfrequencies effectively. Based on SIMP (solid isotropic material penalization) method, compromise programming method was adopted to define multi-objective topology optimization. The topological structure of lower control arm was obtained through the optimization, and further, the new structure design. Results verified by FEA show that the new design can simultaneously satisfy the compliance and eigenfrequencies objective, and can meet yield stress requirements.

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Winyangkul, Seksan, Kittinan Wansaseub, Suwin Sleesongsom, et al. "Ground Structures-Based Topology Optimization of a Morphing Wing Using a Metaheuristic Algorithm." Metals 11, no. 8 (2021): 1311. http://dx.doi.org/10.3390/met11081311.

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This paper presents multi-objective topology and sizing optimization of a morphing wing structure. The purpose of this paper is to design a new aircraft wing structure with a tapered shape for ribs, spars, and skins including a torsion beam for external actuating torques, which is anticipated to modify the aeroelastic characteristic of the aircraft wing using multi-objective optimization. Two multi-objective topology optimization problems are proposed employing ground element structures with high- and low-grid resolutions. The design problem is to minimize mass, maximize difference of lift eff

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ZHANG, Zhifei. "Research on Multi-objective Topology Optimization of Vehicle Suspension Control Arm." Journal of Mechanical Engineering 53, no. 04 (2017): 114. http://dx.doi.org/10.3901/jme.2017.04.114.

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Stanford, Bret, and Peter Ifju. "Multi-Objective Topology Optimization of Wing Skeletons for Aeroelastic Membrane Structures." International Journal of Micro Air Vehicles 1, no. 1 (2009): 51–69. http://dx.doi.org/10.1260/1756-8293.1.1.51.

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Cheng, Dandan, Xi Lu, and Xiaojuan Sun. "Multi-objective topology optimization of column structure for vertical machining center." Procedia CIRP 78 (2018): 279–84. http://dx.doi.org/10.1016/j.procir.2018.08.305.

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Alfouneh, Mahmoud, and Liyong Tong. "Maximizing modal damping in layered structures via multi-objective topology optimization." Engineering Structures 132 (February 2017): 637–47. http://dx.doi.org/10.1016/j.engstruct.2016.11.058.

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Lim, Jarad, Chao You, and Iman Dayyani. "Multi-objective topology optimization and structural analysis of periodic spaceframe structures." Materials & Design 190 (May 2020): 108552. http://dx.doi.org/10.1016/j.matdes.2020.108552.

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Cardillo, Alessandro, Gaetano Cascini, Francesco Saverio Frillici, and Federico Rotini. "Multi-objective topology optimization through GA-based hybridization of partial solutions." Engineering with Computers 29, no. 3 (2012): 287–306. http://dx.doi.org/10.1007/s00366-012-0272-z.

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43

Li, Yongxin, Quanwei Yang, Tao Chang, Tao Qin, and Fenghe Wu. "Multi-load cases topological optimization by weighted sum method based on load case severity degree and ideality." Advances in Mechanical Engineering 12, no. 8 (2020): 168781402094751. http://dx.doi.org/10.1177/1687814020947510.

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Mechanical structures always bear multiple loads under working conditions. Topology optimization in multi-load cases is always treated as a multi-objective optimization problem, which is solved by the weighted sum method. However, different weight factor allocation strategies have led to discrepant optimization results, and when ill loading case problems appear, some unreasonable results are obtained by those alternatives. Moreover, many multi-objective optimization problems have certain optimization objective, and an evaluation formula to measure Pareto solution in the multi-objective optimiz

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Rosyid, Abdur, Bashar El-Khasawneh, and Anas Alazzam. "Genetic and hybrid algorithms for optimization of non-singular 3PRR planar parallel kinematics mechanism for machining application." Robotica 36, no. 6 (2018): 839–64. http://dx.doi.org/10.1017/s0263574718000152.

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SUMMARYThis paper proposes a special non-symmetric topology of a 3PRR planar parallel kinematics mechanism, which naturally avoids singularity within the workspace and can be utilized for hybrid kinematics machine tools. Subsequently, single-objective and multi-objective optimizations are conducted to improve the performance. The workspace area and minimum eigenvalue, as well as the condition number of the homogenized Cartesian stiffness matrix across the workspace, have been chosen as the objectives in the optimization based on their relevance to the machining application. The single-objectiv

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Li, Zhao Kun, Hua Mei Bian, Li Juan Shi, and Xiao Tie Niu. "Reliability-Based Topology Optimization of Compliant Mechanisms with Geometrically Nonlinearity." Applied Mechanics and Materials 556-562 (May 2014): 4422–34. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.4422.

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A new reliability-based topology optimization method for compliant mechanisms with geometrical nonlinearity is presented. The aim of this paper is to integrate reliability and geometrical nonlinear analysis into the topology optimization problems. Firstly, geometrical nonlinear response analysis method of the compliant mechanisms is developed based on the Total-Lagrange finite element formulation, the incremental scheme and the Newton-Raphson iteration method. Secondly, a multi-objective topology optimal model of compliant mechanisms considering the uncertainties of the applied loads and the g

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Li, Chongqing. "Multi-objective Structural Optimization of Column based on Topology Optimization and NSGA-Ⅱ Algorithm." Academic Journal of Science and Technology 11, no. 3 (2024): 261–63. http://dx.doi.org/10.54097/qdg7mj86.

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In order to realize the lightweight design of CNC machine tool and optimize the important structural columns in gantry structure, this paper proposes a combination of variable density topology optimization and multi-objective optimization based on NSGA-Ⅱ algorithm, which realizes the pursuit of lighter and better structure without changing the performance of the columns, and also puts forward suggestions and improvement directions for the subsequent optimization direction. A new theoretical basis for structural optimization is proposed.

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Wang, Yi Qing, Xu Chen, Bin Wang, Xin Bin Kuang, and Xiao Geng Tian. "Multi-Objective Optimization for the Section Structure of Sandwich Plate Applied in the High-Speed Train Compartments." Applied Mechanics and Materials 597 (July 2014): 535–39. http://dx.doi.org/10.4028/www.scientific.net/amm.597.535.

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In order to obtain the side walls section structures of high speed train applicable to different running speeds and conditions, a multi-objective optimization design is made based on the structure of topology optimization. In this optimization formulation, the weight of sandwich plate, static compliance and maximum deformation are used as the objective functions; the thickness of face panels and cores in five parts of the side wall are variables; and the air pressure gradient in compartments is the constraint function. Surrogate model techniques are adopted for constructing the response surfac

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Qu, Yanjun, Yanru Jiang, Liangjie Feng, Xupeng Li, Bei Liu, and Wei Wang. "Lightweight Design of Multi-Objective Topology for a Large-Aperture Space Mirror." Applied Sciences 8, no. 11 (2018): 2259. http://dx.doi.org/10.3390/app8112259.

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For a large-aperture space telescope, one of the key techniques is the method for designing the lightweight primary mirror assembly (PMA). In order to minimize the mirror surface error under axial gravity, lateral gravity, and polishing pressure at the same time, a method for topology optimization with multi-objective function combined with parametric optimization is introduced in this paper. The weighted compliance minimum is selected as the objective function to maximum the mirror structural stiffness. Then sensitivity analysis method and size optimization are used to determine the mirror st

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Wang, Kai, and Da Wei Ma. "Multi-Objective Structure Optimization Design on the Upper Carriage of a Naval Gun." Applied Mechanics and Materials 541-542 (March 2014): 669–73. http://dx.doi.org/10.4028/www.scientific.net/amm.541-542.669.

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A multi-objective structure optimization design onthe upper carriage of a naval gun was operated in order to improve both compliance and eigenfrequencies effectively. Based on SIMP (solid isotropic material penalization) method, compromise programming method was adopted to define multi-objective topology optimization. The topological structure of upper carriage was obtained through the optimization, and further, the new structure design. Results verified by FEA show that the new design can simultaneously satisfy the compliance and eigenfrequencies objective, and meanwhile candecrease mass and

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Ge, Wenjie, and Xin Kou. "Topology Optimization of Multi-Materials Compliant Mechanisms." Applied Sciences 11, no. 9 (2021): 3828. http://dx.doi.org/10.3390/app11093828.

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In this article, a design method of multi-material compliant mechanism is studied. Material distribution with different elastic modulus is used to meet the rigid and flexible requirements of compliant mechanism at the same time. The solid isotropic material with penalization (SIMP) model is used to parameterize the design domain. The expressions for the stiffness matrix and equivalent elastic modulus under multi-material conditions are proposed. The least square error (LSE) between the deformed and target displacement of the control points is defined as the objective function, and the topology

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