The rigid body motion is studied for a combination of finitely and infinitesimally separated positions in planar kinematics. A general new method is developed for determining the locations of points in a rigid body moving through finitely and infinitesimally separated positions. These points would satisfy the constraints of the crank links for planar mechanisms. A new form of the circle-point curve equations is derived for the double-point position problem and also for the finitely separated position problem in planar kinematics.
Issue Section:
Technical Brief
1.
Tesar
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, J. W.
, 1968
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,” J. Mec.
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.2.
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3.
Strong, R. T., 1978, “Improvements to Mechanisms Synthesis Methods,” Ph.D. thesis, University of Houston.
4.
Waldron, K. J., and Kumar, A., 1977, “In addition to the Burmester Synthesis on a Pocket Calculator,” Proceedings of the 5 th OSU Applied Mechanisms Conference, pp. 9-1 to 9-5.
5.
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6.
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,” ASME J. Mech. Des.
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.7.
Suh, C. H., and Radcliffe, C. W., 1967, “Synthesis of Plane Linkages with Use of the Displacement Matrix,” ASME J. Eng. Ind., May, pp. 206–214.
8.
Subian, D., and Flugrad, D. R., 1989, “Synthesis of Motion Generating Mechanisms by a Continuation Method,” Proceedings of the First National Applied Mechanisms and Robotics Conference, Vol. 1.
9.
Chen, P., and Roth, B., 1969, “A Unified Theory for the Finitely and Infinitesimally Separated Position Problems in Kinematic Synthesis,” ASME J. Eng. Ind., Feb., pp. 203–208.
10.
Tesar
, D.
, and Sparks
, J. W.
, 1968
, “The Generalized Concept of Five Multiply Separated Positions in Coplanar Motion
,” J. Mec.
, 3
, pp. 25
–33
.11.
Tesar
, D.
, and Eschenbach
, P. W.
, 1967
, “Four Multiply Separated Positions in Coplanar Motion
,” ASME J. Eng. Ind.
, 89
, No. 1
, pp. 231
–234
.12.
James
, P. A.
, and Roth
, B.
, 1994
, “A Unified Theory for Kinematic Synthesis
,” ASME J. Mech. Des.
, 116
, March, pp. 144
–153
.Copyright © 2001
by ASME
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