Nonlinear Generalization of Den Hartog's Equal-Peak Method

By G. Habib, T. Detroux, Regis Vigui'e, Gaetan Kerschen. 2015

167 citations recorded by the source corpus.

Abstract 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.

Subfields: Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/2b4627d7b35b2a8f23c71ac58686a5ecc295ecf2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Francesco Lohengrin Romeo
2. G. Habib

Citations in the corpus

• The tuned bistable nonlinear energy sink (2017, background): “Acknowledging the difference between the two, the TBNES reminds the nonlinear tuned vibration absorber studied in [20–22].”