Realization of an arbitrary planar stiffness with a simple symmetric parallel mechanism

Journal of Mechanisms and Robotics

Volumn 3, Issue 4, 2011, Pages 041006-

  Huang, Shuguang ^a   Schimmels, Joseph M ^a  

^a Marquette University   (United States)

Author keywords

Compliant behavior synthesis; Compliant mechanism; Stiffness and compliance realization

Indexed keywords

COMPLIANT BEHAVIOR; COMPLIANT MECHANISM; ELASTIC MECHANISM; IDENTICAL SPRINGS; PARALLEL MECHANISMS; SYMMETRIC GEOMETRY; SYNTHESIS PROCEDURE;

MECHANISMS; STIFFNESS;

STIFFNESS MATRIX;

EID: 80053196173     PISSN: 19424302     EISSN: 19424310     Source Type: Journal    
DOI: 10.1115/1.4004894     Document Type: Article

References (23)

1. Huang S. Schimmels J.M. The Bounds and Realization of Spatial Stiffnesses Achieved With Simple Springs Connected in Parallel. IEEE Trans. Rob. Automat. 1998, 14(3):466-475. 10.1109/70.678455, and "," pp.
2. Huang S. Schimmels J.M. Achieving an Arbitrary Spatial Stiffness With Springs Connected in Parallel. ASME J. Mech. Des. 1998, 120(4):520-526. 10.1115/1.2829309, and "," pp.
3. Ball R.S. A Treatise on the Theory of Screws 1900, Cambridge University Press, London.
4. Dimentberg F.M. The Screw Calculus and its Applications in Mechanics. 1965, "," Foreign Technology Division, Wright-Patterson Air Force Base, Dayton, OH. Document No. FTD-HT-23-1632-67.
5. Griffis M. Duffy J. Kinestatic Control: A Novel Theory for Simultaneously Regulating Force and Displacement. ASME J. Mech. Des. 1991, 113(4):508-515. 10.1115/1.2912812, and "," pp.
6. Patterson T. Lipkin H. Structure of Robot Compliance. ASME J. Mech. Des. 1993, 115(3):576-580. 10.1115/1.2919228, and "," pp.
7. Loncaric J. Geometrical Analysis of Compliant Mechanisms in Robotics. 1985, "," Ph.D. thesis, Harvard University, Cambridge, MA.
8. Loncaric J. Normal Forms of Stiffness and Compliance Matrices. IEEE J. Rob. Autom. 1987, 3(6):567-572. 10.1109/JRA.1987.1087148, "," pp.
9. Griffis M. Duffy J. Global Stiffness Modeling of a Class of Simple Compliant Couplings. Mech. Mach. Theory 1993, 28(2):207-224. 10.1016/0094-114X(93)90088-D
10. Ciblak N. Lipkin H. Asymmetric Cartesian Stiffness for the Modelling of Compliant Robotic Systems. The ASME 23rd Biennial Mechanisms Conference 1994, and "," Design Engineering Division DE-Vol. 72.
11. Howard W.S. Zefran M. Kumar V. On the 6 × 6 Stiffness Matrix for Three Dimensional Motions. Mech. Mach. Theory 1998, 33(4):389-408. 10.1016/S0094-114X(97)00040-2, and "," pp.
12. Chen S. Kao I. Conservative Congruence Transformation for Joint and Cartesian Stiffness Matrices of Robotic Hands and Fingers. Int. J. Rob. Res. 2000, 19(9):835-847. 10.1177/02783640022067201, and "," pp.
13. Huang S. Schimmels J.M. The Bounds and Realization of Spatial Compliances Achieved With Simple Serial Elastic Mechanisms. IEEE Trans. Rob. Autom. 2000, 16(1):99-103. 10.1109/70.833197, and "," pp.
14. Roberts R.G. Minimal Realization of a Spatial Stiffness Matrix With Simple Springs Connected in Parallel. IEEE Trans. Rob. Autom. 1999, 15(5):953-958. 10.1109/70.795799, "," pp.
15. Ciblak N. Lipkin H. Synthesis of Cartesian Stiffness for Robotic Applications. Proceedings of the IEEE International Conference on Robotics and Automation 1999, and ",".
16. Huang S. Schimmels J.M. The Eigenscrew Decomposition of Spatial Stiffness Matrices. IEEE Trans. Rob. Autom. 2000, 16(2):146-156. 10.1109/70.843170, and "," pp.
17. Huang S. Schimmels J.M. A Classification of Spatial Stiffness Based on the Degree of Translational-Rotational Coupling. ASME J. Mech. Des. 2001, 123(3):353-358. 10.1115/1.1374197, and "," pp.
18. Roberts R.G. Minimal Realization of An Arbitrary Spatial Stiffness Matrix With a Parallel Connection of Simple Springs and Complex Springs. IEEE Trans. Rob. Autom. 2000, 16(5):603-608. 10.1109/70.880811, "," pp.
19. Huang S. Schimmels J.M. Minimal Realizations of Spatial Stiffnesses With Parallel or Serial Mechanisms Having Concurrent Axes. J. Rob. Syst. 2001, 18(3):135-246. 10.1002/rob.v18:3, and "," pp.
20. Huang S. Schimmels J.M. Realization of Those Elastic Behaviors That Have Compliant Axes in Compact Elastic Mechanisms. J. Rob. Syst. 2002, 19(3):143-154. 10.1002/rob.v19:3, and "," pp.
21. Choi K. Jiang S. Li Z. Spatial Stiffness Realization With Parallel Springs Using Geometric Parameters. IEEE Trans. Rob. Autom. 2002, 18(3):264-284. and "," pp.
22. Hong M.B. Choi Y.J. Screw System Approach to Physical Realization of Stiffness Matrix With Arbitrary Rank. ASME J. Mech. Rob. 2009, 1(2):021007. 10.1115/1.3046146, and "," p.
23. Su H.-J. Dorozhkin D.V. Vance J.M. A Screw Theory Approach for the Conceptual Design of Flexible Joints for Compliant Mechanisms. ASME J. Mech. Rob. 2009, 1(4):041009. 10.1115/1.3211024, and "," p.