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刚体有限位移螺旋张量的存在性与唯一性定理

余燊

余燊. 刚体有限位移螺旋张量的存在性与唯一性定理[J]. 应用数学和力学, 1984, 5(3): 355-362.
引用本文: 余燊. 刚体有限位移螺旋张量的存在性与唯一性定理[J]. 应用数学和力学, 1984, 5(3): 355-362.
Yu xin. The Existence and Uniqueness Theorem of the Screw Tensor for the Finite Displacement of a Rigidbody[J]. Applied Mathematics and Mechanics, 1984, 5(3): 355-362.
Citation: Yu xin. The Existence and Uniqueness Theorem of the Screw Tensor for the Finite Displacement of a Rigidbody[J]. Applied Mathematics and Mechanics, 1984, 5(3): 355-362.

刚体有限位移螺旋张量的存在性与唯一性定理

The Existence and Uniqueness Theorem of the Screw Tensor for the Finite Displacement of a Rigidbody

  • 摘要: 本文提出并用旋量算法证明了刚体有限位移螺旋张量的存在性与唯一性定理.而且由此获得了以刚体有限位移数据来求这种螺旋张量的公式.
  • [1] (1) Dimentberg,F.,The Theory of Screws and its Applications,Nauka,Moscow,(1978).(in Russian).
    [2] (2) Roth,R.,The kinematics of motion through finitely separated positions,J.Appl.Mech.,Vol.34,No.3,Trans.ASME,Series E,Col.89,(1967),pp.591-598.
    [3] (3) Roth,B.,Finite position theory applied to mechanism synthesis,J.Appl.Mech.,Vol.34,No.3,Trans.ASME,Series E.,Vol.89,(1967),pp.599-605.
    [4] (4) Roth.B.,On the screw axis and other special lines associated with spatial displacements of a rigid body,J.Eng.for Ind.,Trans.ASME,Series B,Vol.89,NO.1,(1967),pp.102-110.
    [5] (5) Wittaker,E.T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies,Cambridge University Press,(1937).
    [6] (6) Pars,L.A.,A Treatise on Analytical Dynamics,Heinemann,London,(1965).
    [7] (7) Gibbs,J.W.and E.B.Wilson,Vector Analysis,Charles Scribner's Son,(1909),(Dover Publication,1960).
    [8] (8) Yu Xin,Foundation of Rigidbody Mechanics,South China Institute of Technology,(1981).
    [9] (9) Yu Xin,On the Application of Screw Calculus to the Mechanics of Spatial Mechanisms,(an analysis of the general five-link mechanism with screw pairs).(to be published by the symposium on "Applied Mathematics and Mechanics").
    [10] (10) Yu Xin,The Mechnaics of Mechanical Manipulators with six Degrees of Freedom-An analysis by Means of the Screw Calculus.(to be published).
    [11] (11) Tsai,W.L.and B.Roth,Incompletely Specified Displacements: Geometry and Spatial Linkage Synthesis,J.Eng.for Ind.,Trans,ASME,Series B,Vol.95,(1973),pp.603-611.
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出版历程
  • 收稿日期:  1983-01-04
  • 刊出日期:  1984-06-15

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