Nonlinear generalization of Den Hartog's equal-peak method

作者：Habib G^*; Detroux T; Viguie R; Kerschen G

来源：Mechanical Systems and Signal Processing, 2015, 52-53: 17-28.

DOI：10.1016/j.ymssp.2014.08.009

• Nonlinear resonances
• Vibration absorber
• Nonlinearity synthesis
• Equal-peak method

This study addresses the mitigation of a nonlinear resonance of a mechanical system. In view of the narrow bandwidth of the classical linear tuned vibration absorber, a nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA), is introduced in this paper. An unconventional aspect of the NLTVA is that the mathematical form of its restoring force is tailored according to the nonlinear restoring force of the primary system. The NLTVA parameters are then determined using a nonlinear generalization of Den Hartog's equal-peak method. The mitigation of the resonant vibrations of a Duffing oscillator is considered to illustrate the proposed developments.

• 出版日期2015-2