Inverse kinetostatic analysis of compliant four-bar linkages

Mechanism and Machine Theory

Volumn 69, Issue , 2013, Pages 350-372

  Belfiore, Nicola Pio ^a   Simeone, Pasquale ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Compliant mechanisms; Curved beam; Displacement matrix; Four bar linkage; MEMS

Indexed keywords

COMPLIANT MECHANISMS; CURVED BEAMS AND GIRDERS; END EFFECTORS; FLEXIBLE STRUCTURES; INVERSE PROBLEMS; JOINTS (STRUCTURAL COMPONENTS); MATRIX ALGEBRA; MECHANISMS; MEMS; RIGID STRUCTURES;

CURVED BEAMS; DIFFERENT MECHANISMS; DISPLACEMENT MATRIX; FOUR-BAR LINKAGE; KINETOSTATIC ANALYSIS; PSEUDO-RIGID BODY MODELS; QUASI-STATIC CONDITIONS; RELATIVE DISPLACEMENT;

FINITE ELEMENT METHOD;

EID: 84880385633     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2013.06.008     Document Type: Article

References (41)

1. L.L. Howell Compliant Mechanisms 2001 John Wiley & Sons
2. N.P. Belfiore Brief note on the concept of planarity for kinematic chains Mechanism and Machine Theory 35 2000 1745 1750 (Eid=2-s2.0-0034509004) (Pubitemid 32030086)
3. A. Midha, T.W. Norton, and L.L. Howell On the nomenclature, classification and abstractions of compliant mechanisms Journal of Mechanical Design 116 1994 270 279
4. L.L. Howell, A. Midha, and 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, Transaction of the ASME 118 1996 126 131 (Pubitemid 126698487)
5. B.T. Edwards, B.D. Jensen, and L.L. Howell A pseudo-rigid-body model for initially-curved pinned-pinned segments used in compliant mechanisms Journal of Mechanical Design, Transaction of the ASME 123 2001 464 468 (Pubitemid 33716234)
6. E. Pennestrì, and N.P. Belfiore Modular third-order analysis of planar linkages with applications American Society of Mechanical Engineers, Design Engineering Division (Publication) DE volume 70 pt 1 1994 99 103 Eid=2-s2.0-0028561388
7. E. Pennestrì, and N.P. Belfiore On the numerical computation of Generalized Burmester Points Meccanica 30 1995 147 153 (Eid=2-s2.0-34249754180)
8. L. Saggere, and S. Kota Synthesis of planar, compliant four-bar mechanisms for compliant-segment motion generation Journal of Mechanical Design, Transactions of the ASME 123 2001 535 541 (Pubitemid 33716244)
9. N. Lobontiu Distributed-parameter dynamic model and optimized design of a four-link pendulum with flexure hinges Mechanism and Machine Theory 36 2001 653 669 (Pubitemid 32335388)
10. J. Tsay, H.-A. Chang, and C.-K. Sung Design and experiments of fully compliant bistable micromechanisms Mechanism and Machine Theory 40 2005 17 31
11. N. Lobontiu, J.S. Paine, E. Garcia, and M. Goldfarb Design of symmetric conic-section flexure hinges based on closed-form compliance equations Mechanism and Machine Theory 37 2002 477 498 (Pubitemid 34405202)
12. N. Lobontiu, J.S. Paine, E. O'Malley, and M. Samuelson Parabolic and hyperbolic flexure hinges: flexibility, motion precision and stress characterization based on compliance closed-form equations Precision Engineering 26 2002 183 192 (Pubitemid 34506104)
13. N. Lobontiu, and E. Garcia Two-axis flexure hinges with axially-collocated and symmetric notches Computers and Structures 81 2003 1329 1341
14. N. Lobontiu, E. Garcia, and S. Canfield Torsional stiffness of several variable rectangular cross-section flexure hinges for macro-scale and MEMS applications Smart Materials and Structures 13 2004 12
15. Z.J. Zhang, and Y.B. Yuan Research on a novel flexure hinge Journal of Physics Conference Series 48 2006 287
16. Y. Tian, B. Shirinzadeh, D. Zhang, and Y. Zhong Three flexure hinges for compliant mechanism designs based on dimensionless graph analysis Precision Engineering 34 2010 92 100
17. Y.K. Yong, and T.-F. Lu The effect of the accuracies of flexure hinge equations on the output compliances of planar micro-motion stages Mechanism and Machine Theory 43 2008 347 363 (Pubitemid 351163321)
18. M. Jouaneh, and R. Yang Modeling of flexure-hinge type lever mechanisms Precision Engineering 27 2003 407 418
19. Y. Tian, B. Shirinzadeh, D. Zhang, X. Liu, and D. Chetwynd Design and forward kinematics of the compliant micro-manipulator with lever mechanisms Precision Engineering 33 2009 466 475
20. S. Choi, S. Han, Y. Han, and B. Thompson A magnification device for precision mechanisms featuring piezoactuators and flexure hinges: design and experimental validation Mechanism and Machine Theory 42 2007 1184 1198 (Pubitemid 46935839)
21. M. Callegari, A. Gabrielli, and M. Ruggiu Kineto-elasto-static synthesis of a 3-CRU spherical wrist for miniaturized assembly tasks Meccanica 43 2008 377 389
22. Y. Li, and Q. Xu Design and optimization of an xyz parallel micromanipulator with flexure hinges Journal of Intelligent and Robotic Systems 55 2009 377 402
23. M. Balucani, N.P. Belfiore, R. Crescenzi, M. Genua, and M. Verotti Developing and modeling a plane 3 DOF compliant micromanipulator by means of a dedicated MBS code Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech volume 2 2011 659 662 (Eid=2-s2.0- 81455140088)
24. M. Balucani, N.P. Belfiore, R. Crescenzi, and M. Verotti The development of a MEMS/NEMS-based 3 D.O.F. compliant micro robot 19th International Workshop on Robotics in Alpe-Adria-Danube Region, RAAD 2010 - Proceedings 2010 173 179 (Eid=2-s2.0-77956053302)
25. M. Raghavendra, A. Kumar, and B. Jagdish Design and analysis of flexure-hinge parameter in microgripper The International Journal of Advanced Manufacturing Technology 49 2010 1185 1193
26. H. Tari, and H.-J. Su A complex solution framework for the kinetostatic synthesis of a compliant four-bar mechanism Mechanism and Machine Theory 46 2011 1137 1152
27. S. Kota, J. Joo, Z. Li, S. Rodgers, and J. Sniegowski Design of compliant mechanisms: applications to MEMS Analog Integrated Circuits and Signal Processing 29 2001 7 15 (Pubitemid 32902610)
28. M.Y. Wang, and S. Chen Compliant mechanism optimization: analysis and design with intrinsic characteristic stiffness Mechanics Based Design of Structures and Machines 37 2009 183 200
29. B. Shusheng, Z. Shanshan, and Z. Xiaofeng Dimensionless design graphs for three types of annulus-shaped flexure hinges Precision Engineering 34 2010 659 666
30. N. P. Belfiore, M. Scaccia, F. Ianniello, M. Presta, Selective compliance hinge, 2009a. Patent No. WO/2009/034551, Int. Application No. PCT/IB2008/053697, March 19, 2009.
31. N. P. Belfiore, M. Scaccia, F. Ianniello, M. Presta, L. Perfetti, Selective compliance wire actuated mobile platform, particularly for endoscopic surgical devices, 2009b. Patent No. WO/2009/034552, Int. App. No. PCT/IB2008/053698, March 19, 2009.
32. C. Lim, C. Wang, and S. Kitipornchai Timoshenko curved beam bending solutions in terms of Euler-Bernoulli solutions Archive of Applied Mechanics 67 1997 179 190 10.1007/s004190050110 (Pubitemid 127623067)
33. C. Zhang, and S. Di New accurate two-noded shear-flexible curved beam elements Computational Mechanics 30 2003 81 87 10.1007/s00466-002-0367-2
34. C. González, and J. LLorca Stiffness of a curved beam subjected to axial load and large displacements International Journal of Solids and Structures 42 2005 1537 1545
35. Y. Gao, M. Wang, and B. Zhao The refined theory of rectangular curved beams Acta Mechanica 189 2007 141 150 (Pubitemid 46493280)
36. L. Gimena, F. Gimena, and P. Gonzaga Structural analysis of a curved beam element defined in global coordinates Engineering Structures 30 2008 3355 3364
37. J.-Q. Tarn, and W.-D. Tseng Exact analysis of curved beams and arches with arbitrary end conditions: a Hamiltonian state space approach Journal of Elasticity 107 2012 39 63 10.1007/s10659-011-9335-4
38. N.P. Belfiore, M. Verotti, P. Di Giamberardino, and I.J. Rudas Active joint stiffness regulation to achieve isotropic compliance in the Euclidean space Journal of Mechanisms and Robotics 4 2012 041010 1 041010 11 (Eid=2-s2.0-84866309643)
39. N.P. Belfiore, P. Di Giamberardino, I.J. Rudas, and M. Verotti Isotropy in any RR planar dyad under active joint stiffness regulation 19th International Workshop on Robotics in Alpe-Adria-Danube Region, RAAD 2010 - Proceedings 2010 219 224 (Eid=2-s2.0-77956020317)
40. L. Mariti, N.P. Belfiore, E. Pennestrì, and P.P. Valentini Comparison of solution strategies for multibody dynamics equations International Journal for Numerical Methods in Engineering 88 2011 637 656 (Eid = 2-s2.0-80054092032)
41. C. Suh, and C. Radcliffe Synthesis of plane linkages with use of the displacement matrix Transactions of the ASME - Journal of Engineering for Industry May 1967 206 214