On the optimization of a nonlinear vibration neutralizer

Brennan, M.J., Gatti, G. and Kovacic, Ivana (2010) On the optimization of a nonlinear vibration neutralizer. Brennan, M.J., Kovacic, Ivana, Lopes, V., Murphy, K., Petersson, B., Rizzi, S. and Yang, T. (eds.) In Recent Advances Structural Dynamics: Proceedings of the X International Conference. University of Southampton. 12pp .

Abstract

This paper concerns an investigation into the use of cubic nonlinearity in a vibration neutralizer to improve its effectiveness. It is assumed that the excitation frequency is well above the resonance frequency of the machine to which the neutralizer is attached, and that the machine acts as a simple mass. It is also assumed that the response of the system is predominantly at the harmonic excitation frequency of the machine.

The harmonic balance method is used to analyze the system. It is shown that the nonlinearity has the effect of shifting the resonant peak to a higher frequency away from the tuned frequency of the neutralizer so that the device is robust to mistune. In a linear neutralizer this can only be achieved by adding mass to the neutralizer, so the nonlinearity has the same effect as adding mass.

An optimum value of nonlinearity is determined. A minimum value of the damping in the neutralizer is also determined such that the response of the machine is single valued for all frequency. In this case the effect of the nonlinearity is to increase the bandwidth of the device compared to the linear neutralizer with similar mass and damping.

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