The effects of damping on rotational vibratory solutions of a multiple pulley—flat viscoelastomeric belt system with rotary arm tensioner is developed. A complex model procedure is developed to solve both underdamped and overdamped cases. This complex modal procedure allows for future extension to include nonsymmetric rotational models, such as transverse belt vibration coupling. The modal solution enables rapid analysis over a spectrum of frequencies. Seven pulley system experimental results reported in the literature support the analytical development. Belt damping has significant vibration and belt tension amplitude effects. Tensioner spring rate and coulomb damping has minor effects.

1.
Barker, C., and Yang, Y. L., 1989, “Dynamic Analysis of an Automotive Belt Drive System,” Proceedings of the First International Applied Mechanical Systems Design Conference, June 11-14, Nashville, TN, Paper No. 75.
2.
Barker, C. R., Oliver, L. R., and Breig, W. F., 1991, “Dynamic Analysis of Belt Drive Tension Forces During Rapid Engine Acceleration,” SAE Conference, Detroit, MI, pp. 239–254.
3.
Beikmann, R. S., Perkins, N. C., and Ulsoy, A. G., 1991, “Equilibrium Analysis of Automotive Serpentine Belt Drive Systems Under Steady Operating Conditions,” Proceedings of the Midwest Engineering Conference, U. of MO, October pp. 533–534.
4.
Beikmann, R. S., 1992, “Static and Dynamic Behavior of Serpentine Belt Drive Systems: Theory and Experiment,” Ph.D. Dissertation, University of Michigan.
5.
Beikmann, R. S., Perkins, N. C., and Ulsoy, A. G., 1993, “Nonlinear Coupled Response of Serpentine Belt Drive System,” Proceedings DE-Vol. 54, Non-Linear Vibrations, ASME CIE Conference, Albuquerque, NM, pp. 97–103.
6.
Fan, G. W., 1991, “Optimal Output Feedback Vibration Control of Rotor-Bearing Systems,” Ph.D. Dissertation, Arizona State University, December, pp. 56–72.
7.
Fan, G. W., Nelson, H. D., Crouch, P. E., and Mignolet, M. P., 1992, “LQR-Based Least-Squares Output Feedback Control of Rotor Vibrations Using the Complex Mode and Balanced Realization Methods,” presented at Gas Turbine and Aeroengine Congress, Cologne, Germany, June 1–4, 1992, paper ASME 92-GT-9.
8.
Hawker, L. E., 1991, “A Vibration Analysis of Automotive Serpentine Accessory Driver Systems,” Ph.D. Dissertation, University of Windsor, Ontario, Canada.
9.
Hwang, S. J., Perkins, N. C., Ulsoy, A. G., and Meckstroth, R. J., 1993 “Rotational Response and Slip Prediction of Serpentine Belt Drive Systems,” Proceedings DE-Vol. 62, Vibration, Isolation, Acoustics, and Damping in Mechanical Systems, ASME CIE Conference, Albuquerque, NM, pp. 61–71.
10.
Rao, S. S., 1986, Mechanical Vibrations, Addison-Wesley, New York.
11.
Smith, B. T., Boyle, J. M., Garbow, B. S., Ikebe, Y., Klema, V. C., and Moler, C. B., 1976, Matrix Eigensystem Routines—EISPACK Guide, Second Edition, Springer-Verlag, #6.
This content is only available via PDF.
You do not currently have access to this content.