A linear damped hybrid (continuous/discrete components) model is developed in this paper to characterize the dynamic behavior of serpentine belt drive systems. Both internal material damping and external tensioner arm damping are considered. The complex modal analysis method is developed to perform dynamic analysis of linear non-self-adjoint hybrid serpentine belt-drive systems. The adjoint eigenfunctions are acquired in terms of the mode shapes of an auxiliary hybrid system. The closed-form characteristic equation of eigenvalues and the exact closed-form solution for dynamic response of the non-self-adjoint hybrid model are obtained. Numerical simulations are performed to demonstrate the method of analysis. It is shown that there exists an optimum damping value for each vibration mode at which vibration decays the fastest.
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April 2001
Technical Papers
Complex Modal Analysis of Non-Self-Adjoint Hybrid Serpentine Belt Drive Systems
Lixin Zhang, Graduate Student,
Lixin Zhang, Graduate Student
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
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Jean W. Zu, Associate Professor,
Jean W. Zu, Associate Professor
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
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Zhichao Hou, Research Fellow
Zhichao Hou, Research Fellow
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Search for other works by this author on:
Lixin Zhang, Graduate Student
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Jean W. Zu, Associate Professor
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Zhichao Hou, Research Fellow
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 2000; revised November 2000. Associate Editor: G. T. Flowers.
J. Vib. Acoust. Apr 2001, 123(2): 150-156 (7 pages)
Published Online: November 1, 2000
Article history
Received:
April 1, 2000
Revised:
November 1, 2000
Citation
Zhang, L., Zu, J. W., and Hou, Z. (November 1, 2000). "Complex Modal Analysis of Non-Self-Adjoint Hybrid Serpentine Belt Drive Systems ." ASME. J. Vib. Acoust. April 2001; 123(2): 150–156. https://doi.org/10.1115/1.1356697
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