A brief review on nonlinear modeling methods and applications of compliant mechanisms
Guangbo HAO, Jingjun YU, Haiyang LI
A brief review on nonlinear modeling methods and applications of compliant mechanisms
Compliant mechanisms (CMs) have become one of the most popular research themes in mechanisms and robotics because of their merits. This paper aims to provide a brief systematic review on the advances of nonlinear static modeling approaches and the applications of CMs to promote interdisciplinary/multidisciplinary development for associated theories and other new applications. It also predicts likely future directions of applications and theory development.
compliant mechanisms / modelling / nonlinearity / applications / review
[1] |
Howell L L. Compliant Mechanisms. New York: Wiley, 2001
|
[2] |
Lobontiu N. Compliant Mechanisms: Design of Flexure Hinges. Boca Raton: CRC Press, 2002
|
[3] |
Howell L L, Magleby S P, Olsen B M. Handbook of Compliant Mechanisms. New York: Wiley, 2013
|
[4] |
Smith S T. Flexures: Elements of Elastic Mechanisms. London: Taylor and Francis, 2003
|
[5] |
Howell L L, Midha A. Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms. Journal of Mechanical Design, 1995, 117(1): 156–165
CrossRef
Google scholar
|
[6] |
Saggere L, Kota S. Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation. Journal of Mechanical Design, 2001, 123(4): 535–541
CrossRef
Google scholar
|
[7] |
Kota S, Lu K J, Kreiner K,
CrossRef
Pubmed
Google scholar
|
[8] |
Awtar S, Slocum A H. Constraint-based design of parallel kinematic XY flexure mechanisms. Journal of Mechanical Design, 2007, 129(8): 816–830
CrossRef
Google scholar
|
[9] |
Awtar S, Slocum A H, Sevincer E. Characteristics of beam-based flexure modules. Journal of Mechanical Design, 2007, 129(6): 625–639
CrossRef
Google scholar
|
[10] |
Chen G, Liu X, Du Y. Elliptical-arc-fillet flexure hinges: Toward a generalized model for commonly used flexure hinges. Journal of Mechanical Design, 2011, 133(8): 081002-081010
CrossRef
Google scholar
|
[11] |
Hao G, Kong X, Reuben R L. A nonlinear analysis of spatial compliant parallel modules: Multi-beam modules. Mechanism and Machine Theory, 2011, 46(5): 680–706
CrossRef
Google scholar
|
[12] |
Sen S, Awtar S. A closed-form non-linear model for the constraint characteristics of symmetric spatial beams. Journal of Mechanical Design, 2013, 135(3): 031003-031013
CrossRef
Google scholar
|
[13] |
Sen S, Awtar S. Nonlinear constraint model for symmetric three-dimensional beams. In: Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. Montreal, 2010
|
[14] |
Chen G, Bai R. Modeling large spatial deflections of slender bisymmetric beams in compliant mechanisms using chained spatial-beam-constraint-model (CSBCM). In: Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. Boston, 2015
|
[15] |
Venkiteswaran V K, Su H J. A parameter optimization framework for determining the pseudo-rigid-body model of cantilever-beams. Precision Engineering, 2015, 40: 46–54
CrossRef
Google scholar
|
[16] |
Chen G, Ma F. Kinetostatic modeling of fully compliant bistable mechanisms using Timoshenko beam constraint model. Journal of Mechanical Design, 2015, 137(2): 022301-022310
CrossRef
Google scholar
|
[17] |
Kim C, Ebenstein D. Curve decomposition for large deflection analysis of fixed-guided beams with application to statically balanced compliant mechanisms. Journal of Mechanisms and Robotics, 2012, 4(4): 041009-041017
CrossRef
Google scholar
|
[18] |
Holst G L, Teichert G H, Jensen B D. Modeling and experiments of buckling modes and deflection of fixed-guided beams in compliant mechanisms. Journal of Mechanical Design, 2011, 133(5): 051002-051011
CrossRef
Google scholar
|
[19] |
Zhang A, Chen G. A comprehensive elliptic integral solution to the large deflection problems of thin beams in compliant mechanisms. Journal of Mechanisms and Robotics, 2013, 5(2): 021006-021015
CrossRef
Google scholar
|
[20] |
Zhao J, Jia J, He X,
CrossRef
Google scholar
|
[21] |
Awtar S, Sevincer E, Sen S. Elastic averaging in flexure mechanisms: A three-beam parallelogram flexure case study. Journal of Mechanisms and Robotics, 2010, 2(4): 041006‒041017
CrossRef
Google scholar
|
[22] |
Hao G, Li H. Nonlinear analytical modeling and characteristic analysis of a class of compound multi-beam parallelogram mechanisms. Journal of Mechanisms and Robotics, 2015, 7(4): 041016–041019
CrossRef
Google scholar
|
[23] |
Hao G, Kong X. Nonlinear analytical modeling and characteristic analysis of symmetrical wire beam based composite compliant parallel modules for planar motion. Mechanism and Machine Theory, 2014, 77: 122–147
CrossRef
Google scholar
|
[24] |
Pei X, Yu J, Zong G,
CrossRef
Google scholar
|
[25] |
Li H, Hao G. Constraint-force-based (CFB) modelling of compliant mechanisms. In: Proceedings of ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. Boston, 2015
|
[26] |
Awtar S, Ustick J, Sen S. An XYZ parallel-kinematic flexure mechanism with geometrically decoupled degrees of freedom. Journal of Mechanisms and Robotics, 2012, 5(1): 015001–015007
CrossRef
Google scholar
|
[27] |
Awtar S, Sen S. A generalized constraint model for two-dimensional beam flexures: Nonlinear strain energy formulation. Journal of Mechanical Design, 2010, 132(8): 081009
CrossRef
Google scholar
|
[28] |
Awtar S. Analysis and synthesis of planar kinematic XY mechanisms. Dissertation for the Doctoral Degree. Cambridge: Massachusetts Institute of Technology, 2004
|
[29] |
Saxena A, Kramer S N. A simple and accurate method for determining large deflections in compliant mechanisms subjected to end forces and moments. Journal of Mechanical Design, 1998, 120(3): 392–400
CrossRef
Google scholar
|
[30] |
Kumar R, Ramachandra L S, Roy D. Techniques based on genetic algorithms for large deflection analysis of beams. Sadhana, 2004, 29(6): 589–604
CrossRef
Google scholar
|
[31] |
Banerjee A, Bhattacharya B, Mallik A K. Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches. International Journal of Non-linear Mechanics, 2008, 43(5): 366–376
CrossRef
Google scholar
|
[32] |
Ma F, Chen G. Modeling large planar deflections of flexible beams in compliant mechanisms using chained beam-constraint-Model. Journal of Mechanisms and Robotics, 2015, 8(2): 021018
CrossRef
Google scholar
|
[33] |
Morsch F M, Tolou N, Herder J L. Comparison of methods for large deflection analysis of a cantilever beam under free end point load. In: Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. San Diego, 2009
|
[34] |
Howell L L, Midha A, Norton T W. Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large-deflection compliant mechanisms. Journal of Mechanical Design, 1996, 118(1): 126–131
CrossRef
Google scholar
|
[35] |
Saggere L, Kota S. Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation. Journal of Mechanical Design, 2001, 123(4): 535–541
CrossRef
Google scholar
|
[36] |
Su H J. A pseudorigid-body 3R model for determining large deflection of cantilever beams subject to tip loads. Journal of Mechanisms and Robotics, 2009, 1(2): 795–810
|
[37] |
Awtar S, Sen S. A generalized constraint model for two-dimensional beam flexures: Nonlinear load-displacement formulation. Journal of Mechanical Design, 2010, 132(8): 081008
CrossRef
Google scholar
|
[38] |
Sen S, Awtar S. Nonlinear strain energy formulation of a generalized bisymmetric spatial beam for flexure mechanism analysis. Journal of Mechanical Design (New York), 2014, 136(2): 021002–021013
CrossRef
Pubmed
Google scholar
|
[39] |
Schitter G, Thurner P J, Hansma P K. Design and input-shaping control of a novel scanner for high-speed atomic force microscopy. Mechatronics, 2008, 18(5-6): 282–288
CrossRef
Google scholar
|
[40] |
Kim D, Lee D Y, Gweon D G. A new nano-accuracy AFM system for minimizing Abbe errors and the evaluation of its measuring uncertainty. Ultramicroscopy, 2007, 107(4-5): 322–328
CrossRef
Pubmed
Google scholar
|
[41] |
Yu J, Xie Y, Li Z,
CrossRef
Google scholar
|
[42] |
Hu Y H, Lin K H, Chang S C,
|
[43] |
Thorlabs.
|
[44] |
Chen W, Du C, Wu Y,
CrossRef
Pubmed
Google scholar
|
[45] |
Li J, Sedaghati R, Dargahi J,
CrossRef
Google scholar
|
[46] |
Alblalaihid K, Lawes S, Kinnell P. Variable stiffness probing systems for micro-coordinate measuring machines. Precision Engineering, 2016, 43: 262–269
CrossRef
Google scholar
|
[47] |
Jin Z, Gao F, Zhang X. Design and analysis of a novel isotropic six-component force/torque sensor. Sensors and Actuators A: Physical, 2003, 109(1-2): 17–20
CrossRef
Google scholar
|
[48] |
Hao G, Murphy M, Luo X. Development of a compliant-mechanism-based compact three-axis force sensor for high-precision manufacturing. In: Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2015). Boston, 2015
|
[49] |
Hansen B J, Carron C J, Jensen B D,
CrossRef
Google scholar
|
[50] |
Gao Z, Zhang D. Design, analysis and fabrication of a multidimensional acceleration sensor based on fully decoupled compliant parallel mechanism. Sensors and Actuators A: Physical, 2010, 163(1): 418–427
CrossRef
Google scholar
|
[51] |
Sung E, Slocum A H, Ma R,
CrossRef
Google scholar
|
[52] |
Chen G, Zhang S. Fully-compliant statically-balanced mechanisms without prestressing assembly: Concepts and case studies. Mechanical Sciences, 2011, 2(2): 169–174
CrossRef
Google scholar
|
[53] |
Awtar S, Trutna T T, Nielsen, J M,
|
[54] |
Doria M, Birglen L. Design of an under actuated compliant gripper for surgery using nitinol. Journal of Medical Devices, 2009, 3(1): 011007
CrossRef
Google scholar
|
[55] |
Liew L A, Tuantranont A, Bright V M. Modeling of thermal actuation in a bulk-micromachined CMOS micromirror. Microelectronics Journal, 2000, 31(9-10): 791–801
CrossRef
Google scholar
|
[56] |
Olfatnia M, Cui L, Chopra P,
CrossRef
Google scholar
|
[57] |
Olfatnia M, Sood S, Gorman J,
CrossRef
Google scholar
|
[58] |
Wilcox D L, Howell L L. Fully compliant tensural bistable micro-mechanisms (FTBM). Journal of Microelectromechanical Systems, 2005, 14(6): 1223–1235
CrossRef
Google scholar
|
[59] |
Xu Q. Design, fabrication, and testing of an MEMS microgripper with dual-axis force sensor. IEEE Sensors Journal, 2015, 15(10): 6017–6026
CrossRef
Google scholar
|
[60] |
Aten Q T, Jensen B D, Burnett S H,
CrossRef
Pubmed
Google scholar
|
[61] |
Hopkins J B, Lange K J, Spadaccini C M. Designing microstructural architectures with thermally actuated properties using freedom, actuation, and constraint topologies. Journal of Mechanical Design, 2013, 135(6): 061004
CrossRef
Google scholar
|
[62] |
Lakes R. Foam structures with a negative Poisson’s ratio. Science, 1987, 235(4792): 1038–1040
CrossRef
Pubmed
Google scholar
|
[63] |
Kim K, Lee J, Ju J,
CrossRef
Google scholar
|
[64] |
Nelson T G, Lang R J, Pehrson N A,
|
[65] |
Fowler R M, Howell L L, Magleby S P. Compliant space mechanisms: A new frontier for compliant mechanisms. Mechanical Sciences, 2011, 2(2): 205–215
CrossRef
Google scholar
|
[66] |
Merriam G, Jones J E, Magleby S P,
CrossRef
Google scholar
|
[67] |
Pellegrini S P, Tolou N, Schenk M,
CrossRef
Google scholar
|
[68] |
Shaw A D, Neild S A, Wagg D J,
CrossRef
Google scholar
|
[69] |
Zhang B, Billings S A, Lang Z Q,
CrossRef
Google scholar
|
[70] |
Hopkins J B, Panas R M. Eliminating parasitic error in dynamically driven flexure systems. In: Proceedings of the 28th Annual Meeting of the American Society for Precision Engineering. St. Paul, 2013
|
[71] |
Hao G, Li H. Extended static modelling and analysis of compliant compound parallelogram mechanisms considering the initial internal axial force. Journal of Mechanisms and Robotics, 2016, 8(4): 041008
CrossRef
Google scholar
|
[72] |
Yu J, Lu D, Hao G. Design and analysis of a compliant parallel pan-tilt platform. Meccanica, 2015, 1–12
CrossRef
Google scholar
|
[73] |
She Y, Li C, Cleary J,
CrossRef
Google scholar
|
[74] |
Zhou L, Marras A, Su H,
|
/
〈 | 〉 |