21st century kinematics: Synthesis, compliance, and tensegrity

Journal of Mechanisms and Robotics

Volumn 3, Issue 2, 2011, Pages

  McCarthy, J Michael ^a  

^a University of California at Irvine   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79955614535     PISSN: 19424302     EISSN: 19424310     Source Type: Journal    
DOI: 10.1115/1.4003181     Document Type: Editorial

References (35)

1. Lee E. Mavroidis C. Solving the Geometric Design Problem of Spatial 3R Robot Manipulators Using Polynomial Homotopy Continuation. ASME J. Mech. Des. 2002, 124(4):652-661. JMDEDB, 0161-8458, 10.1115/1.1515796.
2. Verschelde J. Haegemans A. The GBQ Algorithm for Constructing Start Systems of Homotopies for Polynomial Systems. SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 1993, 30(2):583-594. SJNAAM, 0036-1429.
3. Verschelde J. Algorithm 795: PHCpack: A General-Purpose Solver for Polynomial Systems by Homotopy Continuation. ACM Trans. Math. Softw. 1999, 25(2):251-276. ACMSCU, 0098-3500, 10.1145/317275.317286.
4. Wise S.M. Sommese A.J. Watson L.T. Algorithm 801: POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations. ACM Trans. Math. Softw. 2000, 26:176-200. ACMSCU, 0098-3500, 10.1145/347837.347885.
5. Lee E. Mavroidis C. Geometric Design of 3R Robot Manipulators for Reaching Four End-Effector Spatial Poses. Int. J. Robot. Res. 2004, 23(3):247-254. IJRREL, 0278-3649, 10.1177/0278364904039653.
6. Su H.-.J. McCarthy J.M. Sosonkina M. Watson L.T. Algorithm 857: POLSYS_GLP-A Parallel General Linear Product Homotopy Code for Solving Polynomial Systems of Equations. ACM Trans. Math. Softw. 2006, 32(4):561-579. ACMSCU, 0098-3500, 10.1145/1186785.1186789.
7. Su H. McCarthy J.M. Watson L.T. Generalized Linear Product Homotopy Algorithms and the Computation of Reachable Surfaces. ASME J. Comput. Inf. Sci. Eng. 2004, 4(3):226-234. JCISB6, 1530-9827, 10.1115/1.1760550.
8. Perez A. McCarthy J.M. Dual Quaternion Synthesis of Constrained Robotic Systems. ASME J. Mech. Des. 2004, 126(3):425-435. JMDEDB, 0161-8458, 10.1115/1.1737378.
9. Perez-Gracia A. McCarthy J.M. Kinematic Synthesis of Spatial Serial Chains Using Clifford Algebra Exponentials. Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 2006, 220(C7):951-966. PMCSED, 0954-4062, 10.1243/09544062JMES166.
10. Sommese A.J. Wampler C.W. The Numerical Solution of Systems of Polynomials Arising in Engineering and Science 2005, 10.1142/9789812567727, and World Scientific, New Jersey.
11. Bates D.J. Hauenstein J.D. Sommese A.J. Wampler C.W. Bertini: Software for Numerical Algebraic Geometry. and.
12. Lee T.L. Li T.Y. Tsai C.H. HOM4PS-2.0: A Software Package for Solving Polynomial Systems by the Polyhedral Homotopy Continuation Method. Computing 2008, 83:109-133. CMPTA2, 0010-485X, 10.1007/s00607-008-0015-6.
13. Midha A. Erdman A.G. Frohrib D.A. An Approximate Method for the Dynamic Analysis of Elastic Linkages. ASME J. Eng. Ind. 1977, 99:449-455. JEFIA8, 0022-0817, 10.1115/1.3439258.
14. Her I. Midha A. A Compliance Number Concept for Compliant Mechanisms, and Type Synthesis. ASME J. Mech., Transm., Autom. Des. 1987, 109:348-355. JMTDDK, 0738-0666.
15. Hill T.C. Midha A. A Graphical, User-Driven Newton-Raphson Technique for Use in the Analysis and Design of Compliant Mechanisms. ASME J. Mech. Des. 1990, 112:123-130. JMDEDB, 0161-8458, 10.1115/1.2912569.
16. Kota S. Ananthasuresh G.K. Crary S.B. Wise K.D. Design and Fabrication of Microelectromechanical Systems. ASME J. Mech. Des. 1994, 116:1081-1088. JMDEDB, 0161-8458, 10.1115/1.2919490.
17. Frecker M.I. Ananthasuresh G.K. Nishiwaki S. Kikuchi N. Kota S. Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization. ASME J. Mech. Des. 1997, 119:238-245. JMDEDB, 0161-8458, 10.1115/1.2826242.
18. Howell L. Compliant Mechanisms 2001, Wiley, New York.
19. Kimball C. Tsai L.-.W. Modeling of Flexural Beams Subjected to Arbitrary End Loads. ASME J. Mech. Des. 2002, 124:223-235. JMDEDB, 0161-8458, 10.1115/1.1455031.
20. Jensen B.D. Howell L.L. Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Translational Joints. ASME J. Mech. Des. 2004, 126:657-656. JMDEDB, 0161-8458, 10.1115/1.1760776.
21. Su H.-.J. McCarthy J.M. A Polynomial Homotopy Formulation of the Inverse Static Analysis of Planar Compliant Mechanisms. ASME J. Mech. Des. 2006, 128:776-786. JMDEDB, 0161-8458, 10.1115/1.2202137.
22. Su H.-.J. McCarthy J.M. Synthesis of Bistable Compliant Four-Bar Mechanisms Using Polynomial Homotopy. ASME J. Mech. Des. 2007, 129:1094-1098. JMDEDB, 0161-8458, 10.1115/1.2757192.
23. Hegde S. Ananthasuresh G.K. Design of Single-Input-Single-Output Compliant Mechanisms for Practical Applications Using Selection Maps. ASME J. Mech. Des. 2010, 132:081007. JMDEDB, 0161-8458, 10.1115/1.4001877.
24. Lusk C.P. Howell L.L. A Micro Helico-Kinematic Platform via Spherical Crank-Sliders. ASME Conf. Proc. 2004, 2004:131. and p.
25. Espinosa D.A. Lusk C.P. Part 1: Moment-Dependent Pseudo-Rigid-Body Models for Straight Beams. ASME 2010, and Paper No. DETC2010-29230.
26. Griffis M. Duffy J. Kinestatic Control: A Novel Theory for Simultaneously Regulating Force and Displacement. ASME J. Mech. Des. 1991, 113:508-515. JMDEDB, 0161-8458, 10.1115/1.2912812.
27. Duffy J. Rooney J. Knight B. Crane III C.D. A Review of a Family of Self-Deploying Tensegrity Structures With Elastic Ties. The Shock and Vibration Digest 2000, 32(2):100-106. 10.1177/058310240003200202.
28. Wang B.-.B. Cable-Strut Systems: Part I-Tensegrity. J. Constr. Steel Res. 1998, 45(3):281-289. JCSRDL, 0143-974X, 10.1016/S0143-974X(97)00075-8.
29. Motro R. Tensegrity: Structural Systems for the Future 2003, Kogan Page Ltd., London, UK.
30. Crane III C.D. Duffy J. Correa J.C. Static Analysis of Tensegrity Structure. ASME J. Mech. Des. 2005, 127:257-268. JMDEDB, 0161-8458, 10.1115/1.1804194.
31. Tibert A.G. Pellegrino S. Deployable Tensegrity Masts. 44th Structures, Structural Dynamics, and Materials Conference 2003, and , Paper No. AIAA2003, 1978, 2003.
32. Barrette G. Gosselin C.M. Determination of the Dynamic Workspace of Cable-Driven Planar Parallel Mechanisms. ASME J. Mech. Des. 2005, 127:242-248. JMDEDB, 0161-8458, 10.1115/1.1830045.
33. Stump E. Kumar V. Workspaces of Cable-Actuated Parallel Manipulators. ASME J. Mech. Des. 2006, 128(1):159-167. JMDEDB, 0161-8458, 10.1115/1.2121741.
34. Moon Y. Crane III C.D. Roberts R.G. Analysis of a Planar Tensegrity-Based Compliant Mechanism. ASME 2010, and Paper No. DETC2010-28.
35. Jiang Q. Kumar V. The Direct Kinematics of Objects Suspended From Cables. ASME 2010, and Paper No. DETC2010-280.