Abstract

An approximate method of vibration analysis of a beam with a nonlinear dry friction damper attached is presented. However, dry friction is highly nonlinear, and hence analytical investigations are difficult to perform. A harmonic balance method is developed and applied to a multi-degree-of-freedom dry friction damped system. A general formulation for problems of this type is presented. The method is applied to the nonlinear vibrations of an elastic beam with variable cross-section. The method is more accurate than traditional, one-harmonic solution methods. Good agreement with published results is obtained, demonstrating the general feasibility of the approach.

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