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GEOMETRY OF PLANAR CAM PROFILES 215
It is apparent that having e > a would lead to more unbalance, since this would be
equivalent to adding material to the cams, a minimum value of e being preferred in this
case. Choosing e = a and using the maximum value of t cw, we minimize the counterweight
size; in other words, we minimize the radius of the counterweight. With these constraints,
the value of f can be readily computed.
For the case of a speed reduction of 8:1, we computed the counterweight and created
a solid model in Pro/Engineer, as displayed in Fig. 7.26, with the parameters t 2 = 5mm,
a = e = 9.5mm, b = 23.5mm, c = 12.5mm, d 2 = 9.85mm, d 3 = 27mm, t cam = 6mm, t cw =
2
6
8mm, c cam = 9.8235mm, A cam = 1.6253 ¥ 10 mm , and f = 8.7866mm.
REFERENCES
Al-Daccak, M., and Angeles, J., “The Calculation of the Volumetric Properties of Sweep-Generated
Solids Via Line Integration,” ASME, J. of Mechanical Design, 115 (1): 110–118, 1993.
Angeles, J., Chaoming, Z., Duarte, R., and Ning, H., “The Evaluation of Moments of 3-D Solids of
Revolution Using Spline Approximations of the Boundary,” ASME, J. of Mechanical Design, 112:
108–110, 1990.
Angeles, J., and Lopez-Cajún, C.S., Optimization of Cam Mechanisms, Kluwer Academic
Publishers, Dordrecht, 1991.
Brand, L., Advanced Calculus, John Wiley, New York, 1965.
Chan, Y.W., and Kok, S.S., “Optimum Cam Design,” Int. J. Comput. Appl. Technol., 9 (1): 34–47,
1996.
Dierckx, P., Curve and Surface Fitting with Splines, Oxford University Press, New York, 1993.
Golub, G.H., and Van Loan, C.F., Matrix Computations, Johns Hopkins University Press, Baltimore,
1983.
González-Palacios, M.A., and Angeles, J., “The Design of a Novel Mechanical Transmission for
Speed Reduction,” ASME, Journal of Mechanical Design, 121 (4): 538–551, 1999.
Kahaner, D., Moler, C., and Nash, S., Numerical Methods and Software, Prentice Hall, Englewood
Cliffs, N.J., 1989.
Koloc, Z., and Václacík, M., Cam Mechanisms, Elsevier, New York, 1993.
Lee, M.K., Design for Manufacturability of Speed-Reduction Cam Mechanisms, M. Eng. Thesis,
Department of Mechanical Engineering, McGill University, Montreal, 2001.
Marsden, J.E., and Tromba, A.J., Vector Calculus, W.H. Freeman and Company, New York, 1988.
Navarro-Martínez, O.R., The Synthesis of Speed-Rectifying Mechanisms for Mechatronic Applica-
tions, M.Eng. Thesis, Department of Mechanical Engineering, McGill University, Montreal, 1999.
Rogers, D.F., An Introduction to NURBS: With Historical Perspective, Academic Press, San
Francisco, Calif., 2001.
Srinivasan, L.N., and Ge, Q.J., “Fine Tuning of Rational B-Spline Motions,” Proc. ASME Design
Engineering Technical Conferences, September, Sacramento, Calif., 1997.