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A brief review on nonlinear modeling methods and applications of compliant mechanisms |
Guangbo HAO1( ), Jingjun YU2, Haiyang LI1 |
1. School of Engineering, University College Cork, Cork T12 YN60, Ireland 2. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China |
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Abstract 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.
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Keywords
compliant mechanisms
modelling
nonlinearity
applications
review
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Corresponding Author(s):
Guangbo HAO
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Online First Date: 25 May 2016
Issue Date: 29 June 2016
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1 |
L L Howell. Compliant Mechanisms. New York: Wiley, 2001
|
2 |
N Lobontiu. Compliant Mechanisms: Design of Flexure Hinges. Boca Raton: CRC Press, 2002
|
3 |
L L Howell, S P Magleby , B M Olsen . Handbook of Compliant Mechanisms. New York: Wiley, 2013
|
4 |
S T Smith. Flexures: Elements of Elastic Mechanisms. London: Taylor and Francis, 2003
|
5 |
L L Howell, A Midha. Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms. Journal of Mechanical Design, 1995, 117(1): 156–165
https://doi.org/10.1115/1.2826101
|
6 |
L Saggere, S Kota. Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation. Journal of Mechanical Design, 2001, 123(4): 535–541
https://doi.org/10.1115/1.1416149
|
7 |
S Kota, K J Lu, K Kreiner, et al. Design and application of compliant mechanisms for surgical tools. Journal of Biomechanical Engineering, 2005, 127(6): 981–989
https://doi.org/10.1115/1.2056561
pmid: 16438236
|
8 |
S Awtar, A H Slocum. Constraint-based design of parallel kinematic XY flexure mechanisms. Journal of Mechanical Design, 2007, 129(8): 816–830
https://doi.org/10.1115/1.2735342
|
9 |
S Awtar, A H Slocum, E Sevincer. Characteristics of beam-based flexure modules. Journal of Mechanical Design, 2007, 129(6): 625–639
https://doi.org/10.1115/1.2717231
|
10 |
G Chen, X Liu, Y Du. Elliptical-arc-fillet flexure hinges: Toward a generalized model for commonly used flexure hinges. Journal of Mechanical Design, 2011, 133(8): 081002-081010
https://doi.org/10.1115/1.4004441
|
11 |
G Hao, X Kong, R L Reuben. A nonlinear analysis of spatial compliant parallel modules: Multi-beam modules. Mechanism and Machine Theory, 2011, 46(5): 680–706
https://doi.org/10.1016/j.mechmachtheory.2010.12.007
|
12 |
S Sen, S Awtar. A closed-form non-linear model for the constraint characteristics of symmetric spatial beams. Journal of Mechanical Design, 2013, 135(3): 031003-031013
https://doi.org/10.1115/1.4023157
|
13 |
S Sen, S Awtar. 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 |
G Chen, R Bai. 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 |
V K Venkiteswaran, H J Su. A parameter optimization framework for determining the pseudo-rigid-body model of cantilever-beams. Precision Engineering, 2015, 40: 46–54
https://doi.org/10.1016/j.precisioneng.2014.10.002
|
16 |
G Chen, F Ma. Kinetostatic modeling of fully compliant bistable mechanisms using Timoshenko beam constraint model. Journal of Mechanical Design, 2015, 137(2): 022301-022310
https://doi.org/10.1115/1.4029024
|
17 |
C Kim, D Ebenstein. 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
https://doi.org/10.1115/1.4007488
|
18 |
G L Holst, G H Teichert, B D Jensen. Modeling and experiments of buckling modes and deflection of fixed-guided beams in compliant mechanisms. Journal of Mechanical Design, 2011, 133(5): 051002-051011
https://doi.org/10.1115/1.4003922
|
19 |
A Zhang, G Chen. 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
https://doi.org/10.1115/1.4023558
|
20 |
J Zhao, J Jia, X He, et al. Post-buckling and snap-through behaviour of inclined slender beams. Journal of Applied Mechanics, 2008, 75(4): 041020-041026
https://doi.org/10.1115/1.2870953
|
21 |
S Awtar, E, Sen S Sevincer. Elastic averaging in flexure mechanisms: A three-beam parallelogram flexure case study. Journal of Mechanisms and Robotics, 2010, 2(4): 041006‒041017
https://doi.org/10.1115/1.4002204
|
22 |
G Hao, H Li. 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
https://doi.org/10.1115/1.4029556
|
23 |
G Hao, X Kong. 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
https://doi.org/10.1016/j.mechmachtheory.2014.02.012
|
24 |
X Pei, J Yu, G Zong, et al. A novel family of leaf-type compliant joints: Combination of two isosceles-trapezoidal flexural pivots. Journal of Mechanisms and Robotics, 2009, 1(2): 021005– 021010
https://doi.org/10.1115/1.3046140
|
25 |
H Li, G Hao. 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 |
S Awtar, J Ustick, S Sen. An XYZ parallel-kinematic flexure mechanism with geometrically decoupled degrees of freedom. Journal of Mechanisms and Robotics, 2012, 5(1): 015001–015007
https://doi.org/10.1115/1.4007768
|
27 |
S Awtar, S Sen. A generalized constraint model for two-dimensional beam flexures: Nonlinear strain energy formulation. Journal of Mechanical Design, 2010, 132(8): 081009
https://doi.org/10.1115/1.4002006
|
28 |
S Awtar. Analysis and synthesis of planar kinematic XY mechanisms. Dissertation for the Doctoral Degree. Cambridge: Massachusetts Institute of Technology, 2004
|
29 |
A Saxena, S N Kramer. 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
https://doi.org/10.1115/1.2829164
|
30 |
R Kumar, L S Ramachandra, D Roy. Techniques based on genetic algorithms for large deflection analysis of beams. Sadhana, 2004, 29(6): 589–604
https://doi.org/10.1007/BF02901474
|
31 |
A Banerjee, B Bhattacharya, A K Mallik. Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches. International Journal of Non-linear Mechanics, 2008, 43(5): 366–376
https://doi.org/10.1016/j.ijnonlinmec.2007.12.020
|
32 |
F Ma, G Chen. Modeling large planar deflections of flexible beams in compliant mechanisms using chained beam-constraint-Model. Journal of Mechanisms and Robotics, 2015, 8(2): 021018
https://doi.org/10.1115/1.4031028
|
33 |
F M Morsch, N Tolou, J L Herder. 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 |
L L Howell, A Midha, T W Norton. 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
https://doi.org/10.1115/1.2826843
|
35 |
L Saggere, S Kota. Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation. Journal of Mechanical Design, 2001, 123(4): 535–541
https://doi.org/10.1115/1.1416149
|
36 |
H J. Su 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 |
S Awtar, S Sen. A generalized constraint model for two-dimensional beam flexures: Nonlinear load-displacement formulation. Journal of Mechanical Design, 2010, 132(8): 081008
https://doi.org/10.1115/1.4002005
|
38 |
S Sen, S Awtar. 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
https://doi.org/10.1115/1.4025705
pmid: 24895492
|
39 |
G Schitter, P J Thurner, P K Hansma. Design and input-shaping control of a novel scanner for high-speed atomic force microscopy. Mechatronics, 2008, 18(5-6): 282–288
https://doi.org/10.1016/j.mechatronics.2008.02.007
|
40 |
D Kim, D Y Lee, D G Gweon. A new nano-accuracy AFM system for minimizing Abbe errors and the evaluation of its measuring uncertainty. Ultramicroscopy, 2007, 107(4-5): 322–328
https://doi.org/10.1016/j.ultramic.2006.08.008
pmid: 17055169
|
41 |
J Yu, Y Xie, Z Li, et al. Design and experimental testing of an improved large-range decoupled XY compliant parallel micromanipulator. Journal of Mechanisms and Robotics, 2015, 7(4): 044503
https://doi.org/10.1115/1.4030467
|
42 |
Y H Hu, K H Lin, S C Chang, et al. Design of a compliant micromechanism for optical-fiber alignment. Key Engineering Materials, 2008, 381-382: 141–144
|
43 |
Thorlabs.
|
44 |
W Chen, C Du, Y Wu, et al. A parallel alignment device with dynamic force compensation for nanoimprint lithography. Review of Scientific Instruments, 2014, 85(3): 035107
https://doi.org/10.1063/1.4867665
pmid: 24689620
|
45 |
J Li, R Sedaghati, J Dargahi, et al. Design and development of a new piezoelectric linear inchworm actuator. Mechatronics, 2005, 15(6): 651–681
https://doi.org/10.1016/j.mechatronics.2005.02.002
|
46 |
K Alblalaihid, S Lawes, P Kinnell. Variable stiffness probing systems for micro-coordinate measuring machines. Precision Engineering, 2016, 43: 262–269
https://doi.org/10.1016/j.precisioneng.2015.08.004
|
47 |
Z Jin, F Gao, X Zhang. Design and analysis of a novel isotropic six-component force/torque sensor. Sensors and Actuators A: Physical, 2003, 109(1-2): 17–20
https://doi.org/10.1016/S0924-4247(03)00299-1
|
48 |
G Hao, M Murphy, X Luo. 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 |
B J Hansen, C J Carron, B D Jensen, et al. Plastic latching accelerometer based on bistable compliant mechanisms. Smart Materials and Structures, 2007, 16(5): 1967–1972
https://doi.org/10.1088/0964-1726/16/5/055
|
50 |
Z Gao, D Zhang. 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
https://doi.org/10.1016/j.sna.2010.08.021
|
51 |
E Sung, A H Slocum, R Ma, et al. Design of an ankle rehabilitation device using compliant mechanisms. Journal of Medical Devices, 2011, 5(1): 011001–011007
https://doi.org/10.1115/1.4002901
|
52 |
G Chen, S Zhang. Fully-compliant statically-balanced mechanisms without prestressing assembly: Concepts and case studies. Mechanical Sciences, 2011, 2(2): 169–174
https://doi.org/10.5194/ms-2-169-2011
|
53 |
S Awtar, T T Trutna, J M Nielsen, , et al. FlexDexTM: A minimally invasive surgical tool with enhanced dexterity and intuitive control. Journal of Medical Devices, 2009, 4(3): 829–839
|
54 |
M Doria, L Birglen. Design of an under actuated compliant gripper for surgery using nitinol. Journal of Medical Devices, 2009, 3(1): 011007
https://doi.org/10.1115/1.3089249
|
55 |
L A Liew, A Tuantranont, V M Bright. Modeling of thermal actuation in a bulk-micromachined CMOS micromirror. Microelectronics Journal, 2000, 31(9-10): 791–801
https://doi.org/10.1016/S0026-2692(00)00061-6
|
56 |
M Olfatnia, L Cui, P Chopra, et al. Large range dual-axis micro-stage driven by electrostatic comb-drive actuators. Journal of Micromechanics and Microengineering, 2013, 23(10): 105008
https://doi.org/10.1088/0960-1317/23/10/105008
|
57 |
M Olfatnia, S Sood, J Gorman, et al. Large stroke comb-drive actuators enabled by a novel flexure mechanism. Journal of Microelectromechanical Systems, 2013, 22(2): 483–494
https://doi.org/10.1109/JMEMS.2012.2227458
|
58 |
D L Wilcox, L L Howell. Fully compliant tensural bistable micro-mechanisms (FTBM). Journal of Microelectromechanical Systems, 2005, 14(6): 1223–1235
https://doi.org/10.1109/JMEMS.2005.859089
|
59 |
Q Xu. Design, fabrication, and testing of an MEMS microgripper with dual-axis force sensor. IEEE Sensors Journal, 2015, 15(10): 6017–6026
https://doi.org/10.1109/JSEN.2015.2453013
|
60 |
Q T Aten, B D Jensen, S H Burnett, et al. A self-reconfiguring metamorphic nanoinjector for injection into mouse zygotes. Review of Scientific Instruments, 2014, 85(5): 055005
https://doi.org/10.1063/1.4872077
pmid: 24880406
|
61 |
J B Hopkins, K J Lange, C M Spadaccini. Designing microstructural architectures with thermally actuated properties using freedom, actuation, and constraint topologies. Journal of Mechanical Design, 2013, 135(6): 061004
https://doi.org/10.1115/1.4024122
|
62 |
R Lakes. Foam structures with a negative Poisson’s ratio. Science, 1987, 235(4792): 1038–1040
https://doi.org/10.1126/science.235.4792.1038
pmid: 17782252
|
63 |
K Kim, J Lee, J Ju, et al. Compliant cellular materials with compliant porous structures: A mechanism based materials design. International Journal of Solids and Structures, 2014, 51(23-24): 3889–3903
https://doi.org/10.1016/j.ijsolstr.2014.07.006
|
64 |
T G Nelson, R J Lang, N A Pehrson, et al. Facilitating deployable mechanisms and structures via developable lamina emergent arrays. Journal of Mechanisms and Robotics, 2015, 8(3): 031006
|
65 |
R M Fowler, L L Howell, S P Magleby. Compliant space mechanisms: A new frontier for compliant mechanisms. Mechanical Sciences, 2011, 2(2): 205–215
https://doi.org/10.5194/ms-2-205-2011
|
66 |
G Merriam, J E Jones, S P Magleby, et al. Monolithic 2 DOF fully compliant space pointing mechanism. Mechanical Sciences, 2013, 4(2): 381–390
https://doi.org/10.5194/ms-4-381-2013
|
67 |
S P Pellegrini, N Tolou, M Schenk, et al. Bistable vibration energy harvesters: A review. Journal of Intelligent Material Systems and Structures, 2013, 24(11): 1303–1312
https://doi.org/10.1177/1045389X12444940
|
68 |
A D Shaw, S A Neild, D J Wagg, et al. A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation. Journal of Sound and Vibration, 2013, 332(24): 6265–6275
https://doi.org/10.1016/j.jsv.2013.07.016
|
69 |
B Zhang, S A Billings, Z Q Lang, et al. Suppressing resonant vibrations using nonlinear springs and dampers. Journal of Vibration and Control, 2009, 15(11): 1731–1744
https://doi.org/10.1177/1077546309102668
|
70 |
J B Hopkins, R M Panas. 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 |
G Hao, H Li. 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
https://doi.org/10.1115/1.4032592
|
72 |
J Yu, D Lu, G Hao. Design and analysis of a compliant parallel pan-tilt platform. Meccanica, 2015, 1–12
https://doi.org/10.1007/s11012-015-0116-1
|
73 |
Y She, C Li, J Cleary, et al. Design and fabrication of a soft robotic hand with embedded actuators and sensors. Journal of Mechanisms and Robotics, 2015, 7(2): 021007
https://doi.org/10.1115/1.4029497
|
74 |
L Zhou, A Marras, H Su, et al. DNA origami compliant nanostructures with tunable mechanical properties. ACS Nano, 2014, 8(1): 27–34
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