A design methodology is developed to achieve optimum design of tensioner in serpentine belt drive systems. System component responses to a harmonic excitation from the crankshaft are obtained analytically by using a complete multi-degree of freedom model and also in explicit expressions using an equivalent single-degree of freedom model. Sequential quadratic programming and Kuhn-Tucker methods are applied to obtain the optimum design of the system modeled as multi-degree of freedom and single-degree of freedom respectively, with the objective of minimizing the undesired vibration of system components. It is shown that system vibration behavior improves substantially by optimizing the design of tensioner device.

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