A multimodal nonlinear piezoelectric vibration absorber
Abstract
This paper presents a design methodology for a piezoelectric vibration absorber able to damp multiple non-linear resonances. The design of multimodal linear piezoelectric absorbers is first reviewed. Next, based on the dynamics of the structure to which linear absorbers are attached, the design is extended to the nonlinear regime. The methodology is inspired from a principle of similarity: if a nonlinearity of one type is present in the host structure, the same type of nonlinearity is used in the absorbers. An explicit semi-analytical expression of the nonlinear coefficients in the absorber is obtained thanks to a first-order harmonic balance and a straightforward series expansion. Numerical examples are analysed to demonstrate the efficiency of the proposed approach.
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