Nonlinear generalization of Den Hartog׳s equal-peak method. (February 2015)

• Record Type: Journal Article
• Authors: Habib, G.; Detroux, T.; Viguié, R.; Kerschen, G.
• Is Part Of: Mechanical systems and signal processing. Volume 52/53(2015)
• Page Start: 17
• Page End: 28
• Publication Date: 2015-02
• Subjects: Nonlinear resonances -- Vibration absorber -- Nonlinearity synthesis -- Equal-peak method; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2014.08.009
• Languages: English
• ISSNs: 0888-3270

Abstract

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. Abstract : Highlights: Vibration absorbers should have the same functional form of the primary system. We define a formula for the definition of the nonlinear term of a vibration absorber. If applied to nonlinear systems our nonlinear absorber always outperform a linear one. We show the limits of the nonlinear tuned vibration absorber.