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Volumn 5, Issue , 2002, Pages 481-488

Advances in polynomial continuation for solving problems in kinematics

Author keywords

[No Author keywords available]

Indexed keywords

ASSEMBLY MODES; DEGREE OF FREEDOM; HIGHER-DEGREE; HIGHER-DIMENSIONAL; MECHANICAL SYSTEMS; ROBOTIC MANIPULATORS; SAMPLE POINT; SOLUTION SET; SYSTEM OF POLYNOMIAL EQUATIONS;

EID: 0036978953     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (6)

References (28)
  • 2
    • 0012935893 scopus 로고
    • Method and apparatus for controlling geometrically simple parallel mechanisms with distinctive connections
    • US Patent 5,179,525
    • M. Griffis and J. Duffy Method and apparatus for controlling geometrically simple parallel mechanisms with distinctive connections US Patent 5,179,525, 1993.
    • (1993)
    • Griffis, M.1    Duffy, J.2
  • 3
    • 0000078373 scopus 로고    scopus 로고
    • An algorithm for solving the direct kinematics of general Stewart-Gough Platforms
    • M.L. Husty An algorithm for solving the direct kinematics of general Stewart-Gough Platforms Mech. Mach. Theory, 31(4):365-380, 1996.
    • (1996) Mech. Mach. Theory , vol.31 , Issue.4 , pp. 365-380
    • Husty, M.L.1
  • 4
    • 0033715941 scopus 로고    scopus 로고
    • Self-motions of Griffis-Duffy type parallel manipulators
    • CDROM, San Francisco, CA, April 24-28
    • M.L. Husty and A. Karger Self-motions of Griffis-Duffy type parallel manipulators Proc. 2000 IEEE Int. Conf. Robotics and Automation, CDROM, San Francisco, CA, April 24-28, 2000.
    • (2000) Proc. 2000 IEEE Int. Conf. Robotics and Automation
    • Husty, M.L.1    Karger, A.2
  • 5
    • 0000058682 scopus 로고
    • Polynomial solution to the position analysis of the 7-link Assur kinematic chain with one quaternary link
    • C. Innocenti. Polynomial solution to the position analysis of the 7-link Assur kinematic chain with one quaternary link. Mechanism & Machine Theory, 30(8):1295-1303, 1995.
    • (1995) Mechanism & Machine Theory , vol.30 , Issue.8 , pp. 1295-1303
    • Innocenti, C.1
  • 7
    • 85011518993 scopus 로고    scopus 로고
    • Numerical solution of multivariate polynomial systems by homotopy continuation methods
    • T.Y. Li. Numerical solution of multivariate polynomial systems by homotopy continuation methods. Acta Numerica, 6, 399-436, 1997.
    • (1997) Acta Numerica , vol.6 , pp. 399-436
    • Li, T.Y.1
  • 9
    • 0024679842 scopus 로고
    • Finding all isolated solutions to polynomial systems using HOMPACK
    • A. P. Morgan, A. J. Sommese, and L. T. Watson. Finding all isolated solutions to polynomial systems using HOMPACK. ACM Trans. Math. Software 15:93-122, 1989.
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 93-122
    • Morgan, A.P.1    Sommese, A.J.2    Watson, L.T.3
  • 10
    • 0027609313 scopus 로고
    • The Stewart platform of general geometry has 40 configurations
    • June
    • M. Raghavan. The Stewart platform of general geometry has 40 configurations ASME J. Mech. Design, 115:277-282, June 1993.
    • (1993) ASME J. Mech. Design , vol.115 , pp. 277-282
    • Raghavan, M.1
  • 11
    • 0029321694 scopus 로고
    • Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators
    • M. Raghavan and B. Roth. Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators. ASME J. of Mechanical Design, 117(B):71-79, 1995.
    • (1995) ASME J. of Mechanical Design , vol.117 , Issue.B , pp. 71-79
    • Raghavan, M.1    Roth, B.2
  • 12
    • 77949912078 scopus 로고
    • On three-bar motion in plane space
    • S. Roberts. On three-bar motion in plane space. Proc. London Math. Soc. VII:14-23, 1875.
    • (1875) Proc. London Math. Soc. , vol.7 , pp. 14-23
    • Roberts, S.1
  • 13
    • 85025197290 scopus 로고
    • Synthesis of path-generating mechanisms by numerical methods
    • B. Roth and F. Freudenstein. Synthesis of path-generating mechanisms by numerical methods. ASME J. Eng. Industry 85B-3:298-306, 1963a.
    • (1963) ASME J. Eng. Industry , vol.85 B , Issue.3 , pp. 298-306
    • Roth, B.1    Freudenstein, F.2
  • 14
    • 84932572426 scopus 로고
    • Numerical solution of systems of nonlinear equations
    • B. Roth and F. Freudenstein. Numerical solution of systems of nonlinear equations. J. Assoc. Comput. Machinery 10:550-556, 1963b.
    • (1963) J. Assoc. Comput. Machinery , vol.10 , pp. 550-556
    • Roth, B.1    Freudenstein, F.2
  • 15
    • 0000158786 scopus 로고    scopus 로고
    • Numerical homotopies to compute generic points on positive dimensional algebraic sets
    • A.J. Sommese and J. Verschelde. Numerical homotopies to compute generic points on positive dimensional algebraic sets. Journal of Complexity 16(3):572-602, 2000.
    • (2000) Journal of Complexity , vol.16 , Issue.3 , pp. 572-602
    • Sommese, A.J.1    Verschelde, J.2
  • 16
    • 0034580750 scopus 로고    scopus 로고
    • Numerical decomposition of the solution sets of polynomial systems into irreducible components
    • A.J. Sommese, J. Verschelde and C.W. Wampler. Numerical decomposition of the solution sets of polynomial systems into irreducible components. SIAM J. Numer. Anal. 38(6):2022-2046, 2001.
    • (2001) SIAM J. Numer. Anal. , vol.38 , Issue.6 , pp. 2022-2046
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 17
    • 0013036672 scopus 로고    scopus 로고
    • Numerical irreducible decomposition using projections from points on the components
    • Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, ed.: E.L. Green, et al, Amer. Math. Soc.
    • A.J. Sommese, J. Verschelde and C.W. Wampler. Numerical irreducible decomposition using projections from points on the components. In Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, vol. 286 of Contemporary Mathematics, ed.: E.L. Green, et al, Amer. Math. Soc., 37-51, 2001.
    • (2001) Contemporary Mathematics , vol.286 , pp. 37-51
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 18
    • 0001969302 scopus 로고    scopus 로고
    • Using Monodromy to Decompose Solution Sets of Polynomial Systems into Irreducible Components
    • ed.: C. Ciliberto, et al, Kluwer Academic Publishers
    • A.J. Sommese, J. Verschelde and C.W. Wampler. Using Monodromy to Decompose Solution Sets of Polynomial Systems into Irreducible Components. In Application of Algebraic Geometry to Coding Theory, Physics and Computation, ed.: C. Ciliberto, et al, Kluwer Academic Publishers, 297-315, 2001.
    • (2001) Application of Algebraic Geometry to Coding Theory, Physics and Computation , pp. 297-315
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 20
    • 2042489944 scopus 로고    scopus 로고
    • Numerical Irreducible Decomposition using PHCpack
    • To appear edited by M. Joswig and N. Takayama. Proceedings of Dagstuhl seminar no. 01421
    • Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler. Numerical Irreducible Decomposition using PHCpack. To appear in Mathematics and Visualization, edited by M. Joswig and N. Takayama. Proceedings of Dagstuhl seminar no. 01421.
    • Mathematics and Visualization
    • Sommese, A.J.1    Verschelde, J.2    Wampler, C.W.3
  • 21
    • 0010177750 scopus 로고    scopus 로고
    • Numerical algebraic geometry
    • The Mathematics of Numerical Analysis, ed.: J. Renegar, et al, Amer. Math. Soc.
    • A.J. Sommese and C.W. Wampler. Numerical algebraic geometry. In The Mathematics of Numerical Analysis, vol. 32 of Lectures in Applied Mathematics, ed.: J. Renegar, et al, Amer. Math. Soc., 749-763, 1996.
    • (1996) Lectures in Applied Mathematics , vol.32 , pp. 749-763
    • Sommese, A.J.1    Wampler, C.W.2
  • 22
    • 0022075423 scopus 로고
    • Solving the kinematics of the most general six- And five-degree-of- freedom manipulators by continuation methods
    • L.-W. Tsai and A. P. Morgan. Solving the kinematics of the most general six- and five-degree-of-freedom manipulators by continuation methods. ASME J. Mech. Trans. Automation Design 107:189-200, 1985.
    • (1985) ASME J. Mech. Trans. Automation Design , vol.107 , pp. 189-200
    • Tsai, L.-W.1    Morgan, A.P.2
  • 23
    • 0001656792 scopus 로고    scopus 로고
    • Algorithm 795: PHCpack: A generalpurpose solver for polynomial systems by homotopy continuation
    • Software available at
    • J. Verschelde. Algorithm 795: PHCpack: A generalpurpose solver for polynomial systems by homotopy continuation. ACM Transactions on Mathematical Software 25(2): 251-276, 1999. Software available at http://www.math.uic.edu/ ~jan.
    • (1999) ACM Transactions on Mathematical Software , vol.25 , Issue.2 , pp. 251-276
    • Verschelde, J.1
  • 24
    • 0030245232 scopus 로고    scopus 로고
    • A study of the solvability of the position problem for multi-curcuit mechanisms by way of example of the double butterfly linkage
    • K. J. Waldron and S. V. Sreenivasen. A study of the solvability of the position problem for multi-curcuit mechanisms by way of example of the double butterfly linkage. ASME J. Mech. Design, 118:3:390-395, 1996.
    • (1996) ASME J. Mech. Design , vol.118 , Issue.3 , pp. 390-395
    • Waldron, K.J.1    Sreenivasen, S.V.2
  • 25
    • 0000104824 scopus 로고    scopus 로고
    • Forward displacement analysis of general six-in-parallel SPS (Stewart) platform manipulators using soma coordinates
    • C.W. Wampler. Forward displacement analysis of general six-in-parallel SPS (Stewart) platform manipulators using soma coordinates. Mech. Mach. Theory 31(3): 331-337, 1996.
    • (1996) Mech. Mach. Theory , vol.31 , Issue.3 , pp. 331-337
    • Wampler, C.W.1
  • 26
    • 0033187772 scopus 로고    scopus 로고
    • Solving the kinematics of planar mechanisms
    • C.W. Wampler. Solving the kinematics of planar mechanisms. ASME J. Mechanical Design 121:387-391, 1999.
    • (1999) ASME J. Mechanical Design , vol.121 , pp. 387-391
    • Wampler, C.W.1
  • 27
    • 84988473168 scopus 로고    scopus 로고
    • Numerical continuation methods for solving polynomial systems arising in kinematics
    • C.W. Wampler, A.P. Morgan and A.J. Sommese. Numerical continuation methods for solving polynomial systems arising in kinematics. ASME J. Mechanical Design 112:59-68.
    • ASME J. Mechanical Design , vol.112 , pp. 59-68
    • Wampler, C.W.1    Morgan, A.P.2    Sommese, A.J.3
  • 28
    • 0026822964 scopus 로고
    • Complete solution of the nine-point path synthesis problem for four-bar linkages
    • C.W. Wampler, A.P. Morgan and A.J. Sommese. Complete solution of the nine-point path synthesis problem for four-bar linkages. ASME J. Mechanical Design 114:153-159, 1992.
    • (1992) ASME J. Mechanical Design , vol.114 , pp. 153-159
    • Wampler, C.W.1    Morgan, A.P.2    Sommese, A.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.