Citation: | Wang Mingze, Liu Shutian. Topology optimization of piezo-embedded compliant mechanism considering funtamental frequency constraints. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(1): 162-172. DOI: 10.6052/0459-1879-24-341 |
[1] |
Mallick R, Ganguli R, Bhat MS. A feasibility study of a post-buckled beam for actuating helicopter trailing edge flap. Acta Mechanica, 2014, 225: 2783-2787 doi: 10.1007/s00707-014-1215-0
|
[2] |
Zhou JL, Dong LH, Yang WD. A double-acting piezoelectric actuator for helicopter active rotor. Actuators, 2021, 10(10): 247 doi: 10.3390/act10100247
|
[3] |
Lyu ZK, Wu ZH, Xu QS. Design of a flexure-based XYZ micropositioner with active compensation of vertical crosstalk. IEEE Transactions on Automation Science and Engineering, 2023: 1-14. DOI: 10.1109/TASE.2023.3332696
|
[4] |
Lian JK, An DW, Chen MY, et al. Design and feedforward control of a two-degree-of-freedom positioning stage with bidirectional piezoelectric drive. Precision Engineering, 2023, 81: 158-166 doi: 10.1016/j.precisioneng.2023.02.009
|
[5] |
林旭东, 刘欣悦, 王建立等. 基于压电陶瓷促动器的连续镜面变形镜研制进展. 激光与光电子学进展, 2014, 51(9): 31-40 (Lin Xudong, Liu Xinyue, Wang Jianli, et al. Progress of the continuous surface deformable mirror based on piezo-ceramic actuator. Laser & Optoelectronics Progress, 2014, 51(9): 31-40 (in Chinese)
Lin Xudong, Liu Xinyue, Wang Jianli, et al. Progress of the continuous surface deformable mirror based on piezo-ceramic actuator. Laser & Optoelectronics Progress, 2014, 51(9): 31-40 (in Chinese)
|
[6] |
Yang ZY, Shi YS, Yan P. A novel design of compact tilt stage with spatially distributed anti-symmetric compliant mechanism. Sensors and Actuators A: Physical, 2023, 349: 113995 doi: 10.1016/j.sna.2022.113995
|
[7] |
Qi KQ, Xiang Y, Fang C, et al. Analysis of the displacement amplification ratio of bridge-type mechanism. Mechanism and Machine Theory, 2015, 87: 45-56 doi: 10.1016/j.mechmachtheory.2014.12.013
|
[8] |
Ling MX, Howell LL, Cao JY, et al. Kinetostatic and dynamic modeling of flexure-based compliant mechanisms: A survey. Applied Mechanics Reviews, 2020, 72(3): 030802
|
[9] |
Wang MZ, Zhang C, Liu ST, et al. Modeling and analysis of a conical bridge-type displacement amplification mechanism using the non-uniform rational B-spline curve. Materials, 2023, 16(18): 6162 doi: 10.3390/ma16186162
|
[10] |
Ling MX, Wu SL, Luo ZH, et al. An electromechanical dynamic stiffness matrix of piezoelectric stacks for systematic design of micro/nano motion actuators. Smart Materials and Structures, 2023, 32: 115012 doi: 10.1088/1361-665X/ace4aa
|
[11] |
张宪民, 朱本亮, 李海等. 柔顺精密定位与操作机构研究进展. 机械工程学报, 2023, 59(19): 24-43 (Zhang Xianmin, Zhu Benliang, Li Hai, et al. Recent advances in compliant precision positioning and manipulating mechanisms. Journal of Mechanical Engineering, 2023, 59(19): 24-43 (in Chinese) doi: 10.3901/JME.2023.19.024
Zhang Xianmin, Zhu Benliang, Li Hai, et al. Recent advances in compliant precision positioning and manipulating mechanisms. Journal of Mechanical Engineering, 2023, 59(19): 24-43 (in Chinese) doi: 10.3901/JME.2023.19.024
|
[12] |
林晔, 张晓鹏, 胡骏等. 压电智能结构拓扑优化研究进展. 固体力学学报, 2020, 41(5): 391-408 (Lin Ye, Zhang Xiaopeng, Hu Jun, et al. Advances in topology optimization of piezoelectric smart structures. Chinese Journal of Solid Mechanics, 2020, 41(5): 391-408 (in Chinese)
Lin Ye, Zhang Xiaopeng, Hu Jun, et al. Advances in topology optimization of piezoelectric smart structures. Chinese Journal of Solid Mechanics, 2020, 41(5): 391-408 (in Chinese)
|
[13] |
Zhu BL, Zhang XM, Zhang HC, et al. Design of compliant mechanisms using continuum topology optimization: A review. Mechanism and Machine Theory, 2020, 143: 103622 doi: 10.1016/j.mechmachtheory.2019.103622
|
[14] |
Sigmund O. On the design of compliant mechanisms using topology optimization. Mechanics of Structures and Machines, 1997, 25: 493-524 doi: 10.1080/08905459708945415
|
[15] |
Allaire G, Jouve F, Toader AM. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics, 2004, 194: 363-393 doi: 10.1016/j.jcp.2003.09.032
|
[16] |
Guo X, Zhang WS, Zhong WL. Doing topology optimization explicitly and geometrically—A new moving morphable components based framework. Journal of Applied Mechanics, 2014, 81(8): 081009 doi: 10.1115/1.4027609
|
[17] |
Huang X, Xie YM. Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elements in Analysis and Design, 2007, 43: 1039-1049 doi: 10.1016/j.finel.2007.06.006
|
[18] |
Nishiwaki S, Frecker MI, Min S, et al. Topology optimization of compliant mechanisms using the homogenization method. International Journal for Numerical Methods in Engineering, 1998, 42: 535-559 doi: 10.1002/(SICI)1097-0207(19980615)42:3<535::AID-NME372>3.0.CO;2-J
|
[19] |
Pedersen CBW, Buhl T, Sigmund O. Topology synthesis of large-displacement compliant mechanisms. International Journal for Numerical Methods in Engineering, 2001, 50: 2683-2705 doi: 10.1002/nme.148
|
[20] |
Liu M, Zhan JQ, Zhu BL, et al. Topology optimization of compliant mechanism considering actual output displacement using adaptive output spring stiffness. Mechanism and Machine Theory, 2020, 146: 103728 doi: 10.1016/j.mechmachtheory.2019.103728
|
[21] |
何健, 何猛, 夏凉等. 基于双向渐进结构优化法的柔性机构设计. 机械工程学报, 2021, 57(19): 39-47 (He Jian, He Meng, Xia Liang, et al. Design of compliant actuation mechanisms by evolutionary structural optimization method. Journal of Mechanical Engineering, 2021, 57(19): 39-47 (in Chinese) doi: 10.3901/JME.2021.19.004
He Jian, He Meng, Xia Liang, et al. Design of compliant actuation mechanisms by evolutionary structural optimization method. Journal of Mechanical Engineering, 2021, 57(19): 39-47 (in Chinese) doi: 10.3901/JME.2021.19.004
|
[22] |
许洁, 高杰, 肖蜜等. 基于等几何拓扑优化的柔性机构设计. 机械工程学报, 2024, 60(1): 137-148 (Xu Jie, Gao Jie, Xiao Mi, et al. Design of compliant mechanisms by topology optimization based on isogeometric analysis. Journal of Mechanical Engineering, 2024, 60(1): 137-148 (in Chinese) doi: 10.3901/JME.2024.01.137
Xu Jie, Gao Jie, Xiao Mi, et al. Design of compliant mechanisms by topology optimization based on isogeometric analysis. Journal of Mechanical Engineering, 2024, 60(1): 137-148 (in Chinese) doi: 10.3901/JME.2024.01.137
|
[23] |
魏鹏, 何磊, 许伟鹏等. 基于水平集带方法的柔顺机构拓扑优化研究. 华南理工大学学报(自然科学版), 2024, 52(3): 93-101 (Wei Peng, He Lei, Xu Weipeng et al. Research on topology optimization of compliant mechanisms based on level set band method. Journal of South China University of Technology(Natural Science Edition), 2024, 52(3): 93-101 (in Chinese)
Wei Peng, He Lei, Xu Weipeng et al. Research on topology optimization of compliant mechanisms based on level set band method. Journal of South China University of Technology(Natural Science Edition), 2024, 52(3): 93-101 (in Chinese)
|
[24] |
Wang RX, Zhang XM, Zhu BL, et al. Hybrid explicit–implicit topology optimization method for the integrated layout design of compliant mechanisms and actuators. Mechanism and Machine Theory, 2022, 171: 104750 doi: 10.1016/j.mechmachtheory.2022.104750
|
[25] |
Gao J, Xiao M, Yan Z, et al. Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability. Frontiers of Mechanical Engineering, 2022, 17(2): 27 doi: 10.1007/s11465-022-0683-5
|
[26] |
Hu JY, Wallin M, Ristinmaa M, et al. Integrated multi-material and multi-scale optimization of compliant structure with embedded movable piezoelectric actuators. Computer Methods in Applied Mechanics and Engineering, 2024, 421: 116786 doi: 10.1016/j.cma.2024.116786
|
[27] |
刘敏, 卢飞扬, 占金青等. 考虑最小尺寸约束的内嵌可移动压电驱动柔顺机构拓扑优化设计. 中国机械工程, 2024, http://kns.cnki.net/kcms/detail/42.1294.TH.20240510.1222.004.html" target="_blank"> http://kns.cnki.net/kcms/detail/42.1294.TH.20240510.1222.004.html (Liu Min, Lu Feiyang, Zhan Jinqing et al. Topology optimization of compliant mechanism with embedded movable piezoelectric actuator considering minimum length constraints. China Mechanical Engineering, 2024, http://kns.cnki.net/kcms/detail/42.1294.TH.20240510.1222.004.html" target="_blank"> http://kns.cnki.net/kcms/detail/42.1294.TH.20240510.1222.004.html (in Chinese)
Liu Min, Lu Feiyang, Zhan Jinqing et al. Topology optimization of compliant mechanism with embedded movable piezoelectric actuator considering minimum length constraints. China Mechanical Engineering, 2024, http://kns.cnki.net/kcms/detail/42.1294.TH.20240510.1222.004.html (in Chinese)
|
[28] |
Seyraniant AP, Lund E, Olhoff N. Multiple eigenvalues in structural optimization problems. Structural Optimization, 1994, 8: 207-227 doi: 10.1007/BF01742705
|
[29] |
Ma ZD, Cheng HC, Kikuchi N. Structural design for obtaining desired eigenfrequencies by using the topology and shape optimization method. Computing Systems in Engineering, 1994, 5: 77-89 doi: 10.1016/0956-0521(94)90039-6
|
[30] |
Du JB, Olhoff N. Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps. Structural and Multidisciplinary Optimization, 2007, 34: 91-110 doi: 10.1007/s00158-007-0101-y
|
[31] |
Torii AJ, de Faria JR. Structural optimization considering smallest magnitude eigenvalues: a smooth approximation. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, 39: 1745-1754 doi: 10.1007/s40430-016-0583-x
|
[32] |
Li B, Fu YC, Kennedy GJ. Topology optimization using an eigenvector aggregate. Structural and Multidisciplinary Optimization, 2023, 66: 221 doi: 10.1007/s00158-023-03674-x
|
[33] |
Fu YC, Kennedy GJ. Quasi-Newton corrections for compliance and natural frequency topology optimization problems. Structural and Multidisciplinary Optimization, 2023, 66(8): 176
|
[34] |
Torii AJ, de Faria JR, Novotny AA. Aggregation and regularization schemes: a probabilistic point of view. Structural and Multidisciplinary Optimization, 2022, 65(3): 76
|
[35] |
Gao J, Luo Z, Li H, et al. Dynamic multiscale topology optimization for multi-regional micro-structured cellular composites. Composite Structures, 2019, 211: 401-417
|
[36] |
Shu L, Wang MY, Fang ZD, et al. Level set based structural topology optimization for minimizing frequency response. Journal of Sound and Vibration, 2011, 330(34): 5820-5834
|
[37] |
Pedersen NL. Maximization of eigenvalues using topology optimization. Structural and Multidisciplinary Optimization, 2000, 20: 2-11 doi: 10.1007/s001580050130
|
[38] |
Tcherniak D. Topology optimization of resonating structures using SIMP method. International Journal for Numerical Methods in Engineering, 2002, 54: 1605-1622 doi: 10.1002/nme.484
|
[39] |
Svanberg K. The method of moving asymptotes—A new method for structural optimization. International Journal for Numerical Methods in Engineering, 1987, 24(2): 359-373 doi: 10.1002/nme.1620240207
|
[40] |
Lazarov BS, Sigmund O. Filters in topology optimization based on Helmholtz-type differential equations. International Journal for Numerical Methods in Engineering, 2011, 86(6): 765-781 doi: 10.1002/nme.3072
|
[41] |
Sigmund O. Morphology-based black and white filters for topology optimization. Structural and Multidisciplinary Optimization, 2007, 33(4): 401-424
|