There is a need for the repeatable, accurate, precise and versatile alignment of mechanical components. A flexible and inexpensive approach to this problem is the use of a duplicate pair of wedged discs. This paper uses kinematic transformation matrices to examine in detail the design of such a wedge pair. The accuracy, precision and versatility of the circular wedges are shown to be functions of wedge angle, the number of positions or increments along the circumference of the circular wedge, and changes in the offset angle, which defines the asymmetry of the discs.

1.
Denavit
J.
, and
Hartenberg
R. S.
,
1955
, “
A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
22
, No.
2
, pp.
215
221
.
2.
Gutkowski
L. J.
, and
Kinzel
G. L.
,
1995
, “
Kinematic Transformation Matrices for 3D Surface Contact Joints
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
117
, pp.
278
285
.
3.
McKerrow, P. J., 1991, Introduction to Robotics, Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, pp. 131–227.
4.
Sandor, G. N., and Erdman, A. G., 1984, Advanced Mechanical Design: Analysis and Synthesis, Volume 2, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, pp. 543–602.
5.
Sheth
P. N.
,
Hodges
T. M.
, and
Uicker
J. J.
,
1990
, “
Matrix Analysis Method for Direct and Multiple Contact Multibody Systems
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
112
, pp.
145
152
.
This content is only available via PDF.
You do not currently have access to this content.