This paper proposes a piezoelectric vibration absorber, termed the nonlinear piezoelectric tuned vibration absorber (NPTVA), for the mitigation of nonlinear resonances of mechanical systems. The new feature of the NPTVA is that its nonlinear restoring force is designed according to a principle of similarity, i.e., the NPTVA should be an electrical analog of the nonlinear host system. Analytical formulas for the NPTVA parameters are derived using the homotopy perturbation method. Doing so, a nonlinear generalization of Den Hartog's equal-peak tuning rule is developed for piezoelectric vibration absorbers.
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- equal-peak method
- nonlinear resonances
- piezoelectric vibration absorber
- principle of similarity
- vibration mitigation
ASJC Scopus subject areas
- Signal Processing
- Civil and Structural Engineering
- Atomic and Molecular Physics, and Optics
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Electrical and Electronic Engineering