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TECHNICAL PAPERS

The Finite Screw System Associated With the Displacement of a Line

[+] Author and Article Information
Chintien Huang, Jin-Cheng Wang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, TAIWANe-mail: chuang@mail.ncku.edu.tw

J. Mech. Des 125(1), 105-109 (Mar 21, 2003) (5 pages) doi:10.1115/1.1539510 History: Received March 01, 2001; Online March 21, 2003
Copyright © 2003 by ASME
Topics: Screws , Displacement
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References

Ball, R. S., 1900, A Treatise of the Theory of Screws, Cambridge University Press, Cambridge, UK.
Parkin,  I. A., 1992, “A Third Conformation with the Screw Systems: Finite Twist Displacements of a Directed Line and Point,” Mech. Mach. Theory, 27(2), pp. 177–188.
Tsai,  L. W., and Roth,  B., 1973, “Incompletely Specified Displacements: Geometry and Spatial Linkage Synthesis,” ASME J. Eng. Ind., 95B(2), pp. 603–611.
Huang,  C., and Roth,  B., 1994, “Analytic Expressions for the Finite Screw Systems,” Mech. Mach. Theory, 29(2), pp. 207–222.
Hunt,  K. H., and Parkin,  I. A., 1995, “Finite Displacements of Pints, Planes, and Lines via Screw Theory,” Mech. Mach. Theory, 30(2), pp. 177–192.
Huang,  C., 2000, “Derivation of Screw Systems for Displacing Plane Elements,” Mech. Mach. Theory, 35, pp. 1445–1453.
Huang,  C., 1997, “Notes on Screw Product Operations in the Formulations of Successive Finite Displacements,” ASME J. Mech. Des., 119, pp. 434–439.
Huang, C., 2000, “On Definitions of Pitches and the Finite Screw System for Displacing a Line,” Proc. the Ball 2000 Symposium, Cambridge, UK.
Dimentberg, F. M., 1965, The Screw Calculus and Its Application in Mechanics (in Russian), Moscow, (English Translation: US Dept. of Commerce Translation No. AD680993).
Yang, A. T., 1963, “Application of Quaternion Algebra and Dual Numbers to the Analysis of Spatial Mechanisms,” Ph.D. Thesis, Columbia University, NY.
Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North Holland Publishing Company, Amsterdam, Holland.

Figures

Grahic Jump Location
Defining a displacement screw as the screw product of two lines
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The displacement of a line via successive screw displacements
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Three linearly independent screws of the three-system
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The internal and external bisectors
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A screw axis for the displacement of a line
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A set of three linearly independent screws of the screw system

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