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APPLICATION BRIEFS

Interactive Visualization of Line Congruences for Spatial Mechanism Design

[+] Author and Article Information
Pierre M. Larochelle

Robotics & Spatial Systems Lab Mechanical & Aerospace Engineering Department, Florida Institute of Technology, Melbourne, FL

Judy M. Vance, John N. Kihonge

Virtual Reality Applications Center, Department of Mechanical Engineering, Iowa State University, Ames, Iowa

J. Comput. Inf. Sci. Eng 2(3), 208-215 (Jan 02, 2003) (8 pages) doi:10.1115/1.1529211 History: Received June 01, 2001; Revised October 01, 2002; Online January 02, 2003
Copyright © 2002 by ASME
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References

Larochelle, P., 1995, “On the Design of Spatial 4C Mechanisms for Rigid-Body Guidance Through 4 Positions,” Proceedings of the 1995 ASME Design Engineering Technical Conferences, vDE-82, pg825-832. Sept. 1995, Boston, Massachusetts.
Murray, A. P., and McCarthy, J. M., 1994, “Five Position Synthesis of Spatial CC Dyads,” Proceedings of the 1994 ASME Design Technical Conferences, DE-v70, pg143-152, September, 1994, Minneapolis, Minnesota.
McCarthy, J. M., 2000, Geometric Design of Linkages. Springer-Verlag.
Larochelle, P., 1998, “SPADES -Software for Synthesizing Spatial 4C Mechanisms,” Winner of the MD1 Mechanical Simulation Software Award. Proceedings of the 1998 ASME Design Engineering Technical Conferences. Sept. 1998, Atlanta, Georgia.
Roth,  B., 1967, “The Kinematics of Motion Through Finitely Separated Positions,” J. Appl. Mech., 34, pp. 591–599, September.
Roth,  B., 1967, “Finite-Position Theory Applied to Mechanism Synthesis,” J. Appl. Mech., 34, pp. 599–605, September.
Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North-Holland, Amsterdam.
McCarthy,  J. M., 1993, “A Parameterization of the Central Axis Congruence Associated with Four Positions of a Rigid Body,” ASME J. Mech. Des., 115, pp. 547–551, Sept.
McCarthy,  J. M., 1993, “The Opposite Pole Quadrilateral as a Compatibility Linkage for Parameterizing the Center Point Curve,” ASME J. Mech. Des., 115, pp. 332–336, June.
Roth, B., 1967, “On the Screw Axes and Other Special Lines Associated with Spatial Displacements of a Rigid Body,” J. Eng. Ind., pp. 102–110, February.
Larochelle, P., 1994, “Design of Cooperating Robots and Spatial Mechanisms,” Ph.D. Dissertation, University of California, Irvine.
Bodduluri, R. M. C., 1991, “Interactive Graphics for Four Position Synthesis of 4C Spatial Mechanisms,” Proceedings of the 8th World Congress on the Theory of Machines and Mechanisms. Aug. 1991, Prague, Czechoslovakia.
Murray, A. P., 1993, “The Central Axis and Circling Axis Congruences as Projections of the Constraint Manifold of the Complementary Screw Quadrilateral,” M.S. Thesis, University of California, Irvine.
Murray,  A. P., and McCarthy,  J. M., 1999, “Burmester Lines of Spatial Five Position Synthesis from the Analysis of a 3-CPC Platform,” ASME J. Mech. Des., 121, pp. 45–49, March.
Murray,  A. P., and McCarthy,  J. M., 1996, “Passing a Central Axis Congruence Through Six Arbitrary Lines in space,” ASME J. Mech. Des., 118, pp. 515–519, Dec.
Kihonge, J., Vance, J., and Larochelle, P., 2001, “Spatial Mechanism Design in Virtual Reality with Networking,” Proceedings of the ASME 2001 International Design Engineering Technical Conferences. Sept. 2001, Pisttsburgh, Pennsylvania.
Larochelle, P. M., and Vance, J. M., 2000, “Interactive Visualization of the Line Congruences Associated with Four Finite Spatial Poses,” Proceedings of the Symposium Commemorating the Legacy, Works, and Life of Sir Robert Stawell Ball. University of Cambridge.
Furlong,  T. J., Vance,  J. M., and Larochelle,  P. M., 1999, “Spherical Mechanism Synthesis in Virtual Reality,” ASME J. Mech. Des., 121, pp. 515–520, Dec.
Larochelle, P., 2000, “Circuit and Branch Rectification of the Spatial 4C Mechanism,” Proceedings of the 2000 ASME Design Engineering Technical Conferences. Sept. 2000, Baltimore, Maryland.

Figures

Grahic Jump Location
The parameterizing spatial 4C mechanism
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Figure 26 from Bottema and Roth
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Figure 5 from Larochelle 4
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2001 congruence visualization
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ISU C2 immersive facility
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VRSpatial: defining four locations
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VRS patial: 4C mechanism display

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