Articles | Volume 4, issue 2
https://doi.org/10.5194/ms-4-357-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/ms-4-357-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Review article
| 
01 Nov 2013
Review article |
| 01 Nov 2013
On understanding of design problem formulation for compliant mechanisms through topology optimization
L. Cao
Complex and Intelligent Systems Center, East China University of Science and Technology, Shanghai, China
Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
A. Dolovich
Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
W. J. Zhang
Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
now at: Saskatoon, Canada
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Jin Li, Chang Jun Liu, Xin Wen Xiong, Yi Fan Liu, and Wen Jun Zhang
Mech. Sci., 7, 79–84, https://doi.org/10.5194/ms-7-79-2016, https://doi.org/10.5194/ms-7-79-2016, 2016
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Our work mainly focuses on the dynamic modeling of a piezoelectric actuator (PA) in the impact drive mechanism in the case of the in-pipe inspection application. The novel model we have developed is able to capture the inertia of the PA and the feature of this model is its computational efficiency with reasonable accuracy. This study has concluded that the inertia of the PA in such a robot can significantly affect the accuracy of the entire model of IDM.
Y. F. Liu, J. Li, X. H. Hu, Z. M. Zhang, L. Cheng, Y. Lin, and W. J. Zhang
Mech. Sci., 6, 95–107, https://doi.org/10.5194/ms-6-95-2015, https://doi.org/10.5194/ms-6-95-2015, 2015
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This paper provides a comprehensive review of the literature regarding the modelling and control of piezoelectric inertial-friction actuators (PIFAs). A general architecture of PIFA is proposed first to facilitate the analysis and classification of the literature. In addition, the paper presents the future directions in modelling and control of PIFAs for further improvement of their performance.
Y. F. Liu, J. Li, Z. M. Zhang, X. H. Hu, and W. J. Zhang
Mech. Sci., 6, 15–28, https://doi.org/10.5194/ms-6-15-2015, https://doi.org/10.5194/ms-6-15-2015, 2015
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The study provides contributions to motion control systems with friction, especially for micro-motion systems. Five most used friction models in the micro-motion systems were compared. The plausible reasons for the difference in performance among these models applied in micro stick-slip motion were discussed.
This study also demonstrates an idea of using displacement measurement of micro motion system and system identification technique to investigate the dynamic friction in micro motion level.
Related subject area
Subject: Mechanisms and Robotics | Techniques and Approaches: Optimization
Kinematic analysis and bearing capacity optimization of fully decoupled two-rotation mechanisms
Multi-objective optimization design of parallel manipulators using a neural network and principal component analysis
Topology optimization for thermal structures considering design-dependent convection boundaries based on the bidirectional evolutionary structural optimization method
Parameter optimization of a pure electric sweeper dust port by a backpropagation neural network combined with a whale algorithm
Structural design of multi-body heave wave energy conversion system and analysis of energy efficiency of floating body on water surface
Multi-objective optimization of a redundantly actuated parallel robot mechanism for special machining
Evolutionary multi-objective trajectory optimization for a redundant robot in Cartesian space considering obstacle avoidance
Bionic design and analysis of a multi-posture wheelchair
Design and motion analysis of a small motor stator multi-wire paralleled winding hybrid robot
Structure optimization design of a thin-film diffraction imaging system based on the Kriging model and the improved particle swarm optimization algorithm
Study on compliant actuator based on compliance features of flexible hinges
Scheme optimization for a turbine blade under multiple working conditions based on the entropy weight vague set
Topology optimization design of a lightweight integrated manifold with low pressure loss in a hydraulic quadruped robot actuator
Spatial cellular robot in orbital truss collision-free path planning
Review article: Performance measures of parallel kinematics manipulators
Multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge
Successive dynamic programming and subsequent spline optimization for smooth time optimal robot path tracking
Design and optimization of a XY compliant mechanical displacement amplifier
Sen Wang, Xueyan Han, Haoran Li, Hongyu Xu, and Shihua Li
Mech. Sci., 15, 111–121, https://doi.org/10.5194/ms-15-111-2024, https://doi.org/10.5194/ms-15-111-2024, 2024
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In order to meet the need for high accuracy in road spectrum reproduction of vehicle durability tests, this paper is based on analysis of factors affecting the accuracy of a test platform. The large load capacity and fully decoupled mechanism proposed in the research work of this paper can improve the road spectrum reproduction accuracy of the vehicle durability test platform and has good application prospects in the field of vehicle durability tests.
Chao Yang, Peijiao Li, Yang Wang, Wei Ye, Tianze Sun, Fengli Huang, and Hui Zhang
Mech. Sci., 14, 361–370, https://doi.org/10.5194/ms-14-361-2023, https://doi.org/10.5194/ms-14-361-2023, 2023
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The main contribution of this work is to propose a multi-objective optimization design method in terms of factor analysis, a back-propagation (BP) neural network, principal component analysis (PCA), and a particle swarm optimization (PSO) algorithm to achieve optimal comprehensive performance of a mechanism. The computational cost of the proposed approach was reduced by 96.95 % compared with the PSO algorithm, and the comprehensive performance increased by 118.92 %.
Yanding Guo, Dong Wei, Tieqiang Gang, Xining Lai, Xiaofeng Yang, Guangming Xiao, and Lijie Chen
Mech. Sci., 14, 223–235, https://doi.org/10.5194/ms-14-223-2023, https://doi.org/10.5194/ms-14-223-2023, 2023
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This research provides a topology optimization method for thermal structures considering design-dependent convection boundaries. The effectiveness of the proposed method is illustrated using cases with reasonable configurations under complex thermal boundary conditions.
Jiabao Pan, Jin Ye, Hejin Ai, Jiamei Wang, and You Wan
Mech. Sci., 14, 47–60, https://doi.org/10.5194/ms-14-47-2023, https://doi.org/10.5194/ms-14-47-2023, 2023
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Optimizing the structure of the dust extraction port is the key to effectively improving the operational performance of the sweeper. CFD methods are used to analyze the influence of parameters on the sweeping effect in combination with a gas–solid two-phase flow model. The data set is established with the help of orthogonal test methods, and a BP neural network is used to fit the structural parameters and evaluation indexes.
Dongsheng Cong, Hao Jing, Ruijun Zhang, Zhongyue Lu, Jianzhong Shang, and Zirong Luo
Mech. Sci., 13, 411–425, https://doi.org/10.5194/ms-13-411-2022, https://doi.org/10.5194/ms-13-411-2022, 2022
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Due to the defects of the internal structure and energy supply carrier, conventional deep sea unoccupied marine equipment cannot meet the requirements of low power consumption. The energy efficiency characteristics of floating bodies with different shapes were simulated, and the amplitude response operator (RAO), radiation damping, added mass and Froude–Krylov force of floating bodies with different shapes were compared.
Haiqiang Zhang, Jianglong Tang, Qing Gao, Guohua Cui, Kan Shi, and Yan'an Yao
Mech. Sci., 13, 123–136, https://doi.org/10.5194/ms-13-123-2022, https://doi.org/10.5194/ms-13-123-2022, 2022
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Compared with the two traditional intelligent optimization algorithms, the results show that the particle swarm optimization configuration algorithm, based on an improved orthogonal experiment design, has a better optimization effect, and the results are improved to a certain extent. The evaluation indexes of a multi-objective optimization design are often contradictory. The designer needs to compromise and select an appropriate parameter design value.
Yong Liu, Xiang Li, Peiyang Jiang, Zhe Du, Zhe Wu, Boxi Sun, and Xinyan Huang
Mech. Sci., 13, 41–53, https://doi.org/10.5194/ms-13-41-2022, https://doi.org/10.5194/ms-13-41-2022, 2022
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First, we calculated the trajectory of the end effector of manipulator. This trajectory enables the end effector to reach the desired pose. At the same time, collision detection algorithm was employed to calculate the distance between each link of the manipulator and obstacle. We utilized the multi-objective particle swarm optimization algorithm to optimize the trajectory to minimize joint motor energy consumption and reduce joint velocity and joint impact during the movement of the manipulator.
Qiaoling Meng, Mingpeng Jiang, Zongqi Jiao, and Hongliu Yu
Mech. Sci., 13, 1–13, https://doi.org/10.5194/ms-13-1-2022, https://doi.org/10.5194/ms-13-1-2022, 2022
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This paper proposes a bionic, multi-posture wheelchair, based on the proposed human–wheelchair coupling model, according to the movement characteristics and requirements. The two key factors in designing the multi-posture wheelchair, the consistency of the motion center and the compensation of the shifting center of gravity, are analyzed in this paper. The novel multi-posture wheelchair can implement the sit-to-lie and sit-to-stand transformations with a maximum slipping distance of 10.5 mm.
Yanling Zhao, Enwen Zhou, Jingwei Zhang, Chunya Wu, and Chuang Yang
Mech. Sci., 12, 1005–1016, https://doi.org/10.5194/ms-12-1005-2021, https://doi.org/10.5194/ms-12-1005-2021, 2021
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Small motor stator winding at the same time is difficult to guarantee the uniform arrangement of enameled wire. This paper proposes a three-phase parallel equivalent multi-wire winding robot. The manipulator structure is designed, and the joint motion planning simulation is carried out to verify the feasibility of the multi-wire parallel winding hybrid robot. The research results of this paper provide a theoretical reference for multi-wire parallel winding equipment control.
Yitian Wang, Liu Zhang, Huanyu Zhao, and Fan Zhang
Mech. Sci., 12, 875–889, https://doi.org/10.5194/ms-12-875-2021, https://doi.org/10.5194/ms-12-875-2021, 2021
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This paper aims to investigate the problem of the complex structure optimization of a thin-film diffraction imaging system. A method based on the Kriging model and the improved particle swarm algorithm is proposed to optimize the structure of the thin-film diffraction imaging system. After optimization, the flexible vibration of the improved thin-film diffraction imaging system is effectively suppressed, and the stiffness and stability of the supporting structure are significantly improved.
Qian Lu, Chengyang Wang, Kaikai Zhang, and Hong Gao
Mech. Sci., 12, 837–846, https://doi.org/10.5194/ms-12-837-2021, https://doi.org/10.5194/ms-12-837-2021, 2021
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In this paper, a new parameter, the compliance ratio λ, which could reflect the sensitivity of the main form of the flexible hinge's output displacement, is proposed and discussed in detail. The optimization of the compliant actuator is carried out analyzing the compliance features of different types of flexible hinges. Finally, an actual precision linear position platform will be taken as an example, to prove the key performance of the compliant actuator is much better.
Guodong Yi, Huifang Zhou, Yang Wang, Jingli Wu, and Jundi Wu
Mech. Sci., 12, 615–624, https://doi.org/10.5194/ms-12-615-2021, https://doi.org/10.5194/ms-12-615-2021, 2021
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The deformation of blades under complex loads of multiple working conditions reduces the energy conversion efficiency. To reduce the deviation of the blade shape in practical working conditions, a combination and optimization method of blade design schemes under multiple working conditions, based on the entropy weight vague sets, is proposed. The results show that the proposed design scheme has a smaller blade shape deviation than the traditional design scheme under multiple working conditions.
Hsinpu Huang, Junhui Zhang, Bing Xu, Gan Liu, Qingyou Luo, and Ximeng Wang
Mech. Sci., 12, 249–257, https://doi.org/10.5194/ms-12-249-2021, https://doi.org/10.5194/ms-12-249-2021, 2021
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Robots are a hot topic of research nowadays. Making robot action more accurate and faster is the direction of scholars' efforts. Based on the hydraulic quadruped robot designed by the State Key Laboratory of Fluid Power & Mechatronic System, Zhejiang University, this article discusses the lightweight design for manifold mounted on the hydraulic actuator. Through topology optimization and channel optimization, the part is lighter and the drag loss is less.
Ye Dai, Zhaoxu Liu, Yunshan Qi, Hanbo Zhang, Bindi You, and Yufei Gao
Mech. Sci., 11, 233–250, https://doi.org/10.5194/ms-11-233-2020, https://doi.org/10.5194/ms-11-233-2020, 2020
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Aiming at the problem of moving path planning of a cellular robot on trusses in space station, a triangular prism truss is taken as the research object, and an optimized ant colony algorithm incorporating a gravitational search algorithm is proposed. The simulation results show that the path and planning time of the cellular robot can be effectively reduced when choosing truss path.
Abdur Rosyid, Bashar El-Khasawneh, and Anas Alazzam
Mech. Sci., 11, 49–73, https://doi.org/10.5194/ms-11-49-2020, https://doi.org/10.5194/ms-11-49-2020, 2020
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This extensive review paper, which involves 204 papers, discusses comprehensively a number of performance indices that are instrumental in the design of parallel kinematics manipulators. These indices measure the workspace as well as its quality including the distance to singularity, dexterity, manipulability, force transmission, accuracy, stiffness, and dynamic performance. This paper would benefit designers, practitioners and researchers in better understanding parallel manipulators.
Zhijiang Du, Miao Yang, and Wei Dong
Mech. Sci., 7, 127–134, https://doi.org/10.5194/ms-7-127-2016, https://doi.org/10.5194/ms-7-127-2016, 2016
M. Oberherber, H. Gattringer, and A. Müller
Mech. Sci., 6, 245–254, https://doi.org/10.5194/ms-6-245-2015, https://doi.org/10.5194/ms-6-245-2015, 2015
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The time optimal path following problem for industrial robots regards the problem of generating trajectories that follow predefined end-effector paths in shortest time possible, taking into account kinematic and dynamic constraints. This paper proposes an approach to deal with arbitrary long geometric paths. Further a method is presented to achieve suitable smooth trajectories for an implementation on a real robot, in an easy way.
A. Eskandari and P. R. Ouyang
Mech. Sci., 4, 303–310, https://doi.org/10.5194/ms-4-303-2013, https://doi.org/10.5194/ms-4-303-2013, 2013
Cited articles
Ananthasuresh, G. K.: A new design paradigm for micro-electro-mechanical systems and investigations on the compliant mechanisms, Ph.D. thesis, University of Michigan, 1994.
Bendsoe, M. P. and Sigmund, O.: Topology Optimization: Theory, Methods and Applications, Springer, 2004.
Canfield, S. and Frecker, M.: Topology optimization of compliant mechanical amplifiers for piezoelectric actuators, Struct. Multidiscip. O., 20, 269–279, https://doi.org/10.1007/s001580050157, 2000.
Cardoso, E. L. and Fonseca, J. S. O.: Strain energy maximization approach to the design of fully compliant mechanisms using topology optimization, Lat. Am. J. Solids Stru., 1, 263–275, 2004.
Chen, S., and Wang, M. Y.: Designing distributed compliant mechanisms with characteristic stiffness, the ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE, 2007.
Deepak, S. R., Dinesh, M., Sahu, D. K., and Ananthasuresh, G. K.: A Comparative Study of the Formulations and Benchmark Problems for the Topology Optimization of Compliant Mechanisms, Journal of Mechanisms and Robotics, 1, 011003, https://doi.org/10.1115/1.2959094, 2009.
Du, H., Lau, G. K., Lim, M. K., and Qui, J.: Topological optimization of mechanical amplifiers for piezoelectric actuators under dynamic motion, Smar. Mat. St., 9, 788, https://doi.org/10.1088/0964-1726/9/6/308, 2000.
Frecker, M. and Canfield, S.: Optimal Design and Experimental Validation of Compliant Mechanical Amplifiers for Piezoceramic Stack Actuators, J. Intel. Mat. Syst. Str., 11, 360–369, https://doi.org/10.1106/d6uj-0fbt-p1w0-u1wx, 2000.
Frecker, M. I., Ananthasuresh, G. K., Nishiwaki, S., Kikuchi, N., and Kota, S.: Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization, J. Mech. Design, 119, 238, https://doi.org/10.1115/1.2826242, 1997.
Hetrick, J. A.: An energy efficiency approach for unified topological and dimensional synthesis of compliant mechanisms, Ph.D. thesis, University of Michigan, United States, Michigan, 158–158, 1999.
Howell, L. L.: Compliant Mechanisms, John Wiley & Sons, New York, 2001.
Huang, S. C. and Lan, G. J.: Design and fabrication of a micro-compliant amplifier with a topology optimal compliant mechanism integrated with a piezoelectric microactuator, J. Micromech. Microeng., 16, 531–538, https://doi.org/10.1088/0960-1317/16/3/008, 2006.
Joo, J. and Kota, S.: Topological Synthesis of Compliant Mechanisms Using Nonlinear Beam Elements, Mech. Based Des. Struc., 32, 17–38, https://doi.org/10.1081/sme-120026588, 2004.
Joo, J., Kota, S., and Kikuchi, N.: Topological Synthesis of Compliant Mechanisms Using Linear Beam Elements*, Mech. Struct. Mach., 28, 245–280, 2000.
Kikuchi, N., Nishiwaki, S., Fonseca, J. S. O., and Silva, E. C. N.: Design optimization method for compliant mechanisms and material microstructure, Comput. Method. Appl. M., 151, 401–417, 1998.
Kota, S., Joo, J., Li, Z., Rodgers, S., and Sniegowski, J.: Design of Compliant Mechanisms: Applications to MEMS, Analog Integr. Circ. S., 29, 7–15, https://doi.org/10.1023/a:1011265810471, 2001.
Lau, G. K., Du, H., and Lim, M. K.: Use of functional specifications as objective functions in topological optimization of compliant mechanism, Comput. Method. Appl. M., 190, 4421–4433, https://doi.org/10.1016/S0045-7825(00)00325-X, 2001.
Lee, E.: A strain based topology optimization method, Ph.D. thesis, Rutgers The State University of New Jersey, New Brunswick, United States, New Jersey, 115 pp., 2011.
Lin, C. F. and Shih, C. J.: Topological optimum design of a compliant mechanism for planar optical modulator, Tamkang Journal of Science and Engineering, 5, 151–158, 2002.
Lin, Y. and Zhang, W. J.: Towards a novel interface design framework: function–behavior–state paradigm, Int. J. Hum.-Comput. St., 61, 259–297, https://doi.org/10.1016/j.ijhcs.2003.11.008, 2004.
Lu, K. J. and Kota, S.: Synthesis of shape morphing compliant mechanisms using a load path representation method, Smart Structures and Materials 2003, 5049, 337–348, 2003.
Luo, Z. and Zhang, N.: A multi-criteria topology optimization for systematic design of compliant mechanisms, CMC-Comput. Mater. Con., 28, 27–55, 2012.
Luo, Z., Chen, L., Yang, J., Zhang, Y., and Abdel-Malek, K.: Compliant mechanism design using multi-objective topology optimization scheme of continuum structures, Struct. Multidiscip. O., 30, 142–154, https://doi.org/10.1007/s00158-004-0512-y, 2005.
Min, S. and Kim, Y.: Topology Optimization of Compliant Mechanism with Geometrical Advantage, JSME Int. J. C-Mech. Sy., 47, 610–615, 2004.
Nishiwaki, S., Min, S., Yoo, J., and Kikuchi, N.: Optimal structural design considering flexibility, Comput. Method. Appl. M., 190, 4457–4504, 2001.
Norton, R. L.: Design of Machinery: An Introduction to the Synthesis and Analysis of Mechanisms and Machines, McGraw-Hill College, 2003.
Pedersen, C. B. W., Buhl, T., and Sigmund, O.: Topology synthesis of large-displacement compliant mechanisms, Int. J. Numer. Meth. Eng., 50, 2683–2705, https://doi.org/10.1002/nme.148, 2001.
Rahmatalla, S. and Swan, C. C.: Sparse monolithic compliant mechanisms using continuum structural topology optimization, Int. J. Numer. Meth. Eng., 62, 1579–1605, https://doi.org/10.1002/nme.1224, 2005.
Rai, A. K., Saxena, A., and Mankame, N. D.: Synthesis of Path Generating Compliant Mechanisms Using Initially Curved Frame Elements, J. Mech. Design, 129, 1056, https://doi.org/10.1115/1.2757191, 2007.
Rai, A. K., Saxena, A., and Mankame, N. D.: Unified synthesis of compact planar path-generating linkages with rigid and deformable members, Struct. Multidiscip. O., 41, 863–879, https://doi.org/10.1007/s00158-009-0458-1, 2009.
Saggere, L. and Kota, S.: Synthesis of Planar, Compliant Four-Bar Mechanisms for Compliant-Segment Motion Generation, J. Mech. Design, 123, 535–541, 2001.
Saxena, A.: Synthesis of Compliant Mechanisms for Path Generation using Genetic Algorithm, J. Mech. Design, 127, 745, https://doi.org/10.1115/1.1899178, 2005.
Saxena, A. and Ananthasuresh, G. K.: An optimality criteria approach for the topology synthesis of compliant mechanisms, ASME Deign Engineering Technical Conferences, Atlanta, Georgia, USA, 1998.
Saxena, A. and Ananthasuresh, G. K.: On an optimal property of compliant topologies, Struct. Multidiscip. O., 19, 36–49, https://doi.org/10.1007/s001580050084, 2000.
Saxena, A. and Ananthasuresh, G. K.: Topology Synthesis of Compliant Mechanisms for Nonlinear Force-Deflection and Curved Path Specifications, J. Mech. Design, 123, 33, https://doi.org/10.1115/1.1333096, 2001.
Sigmund, O.: On the Design of Compliant Mechanisms Using Topology Optimization*, Mech. Struct. Mach., 25, 493–524, https://doi.org/10.1080/08905459708945415, 1997.
Sigmund, O.: Optimum Design of Microelectromechanical Systems, in: Mechanics for a New Mellennium, edited by: Aref, H. and Phillips, J., Springer Netherlands, 505–520, 2002.
Tai, K., Cui, G. Y., and Ray, T.: Design Synthesis of Path Generating Compliant Mechanisms by Evolutionary Optimization of Topology and Shape, J. Mech. Design, 124, 492, https://doi.org/10.1115/1.1480818, 2002.
Ullah, I. and Kota, S.: Optimal synthesis of mechanisms for path generation using Fourier descriptors and global search methods, J. Mech. Design, 119, 504–510, 1997.
Wang, M. Y.: A Kinetoelastic Formulation of Compliant Mechanism Optimization, Journal of Mechanisms and Robotics, 1, 021011–021010, 2009a.
Wang, M. Y.: An analysis of the compliant mechanism models, Reconfigurable Mechanisms and Robots, 2009, ReMAR 2009, ASME/IFToMM International Conference on, 2009b, 377–385, 2009b.
Wang, M. Y.: Mechanical and geometric advantages in compliant mechanism optimization, Frontiers of Mechanical Engineering in China, 4, 229–241, https://doi.org/10.1007/s11465-009-0066-1, 2009c.
Yin, L. and Ananthasuresh, G. K.: Design of Distributed Compliant Mechanisms, Mech. Based Des. Struc., 31, 151–179, https://doi.org/10.1081/sme-120020289, 2003.
Zhou, H. and Ting, K. L.: Topological synthesis of compliant mechanisms using spanning tree theory, J. Mech. Design, 127, 753–759, 2005.
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