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Dynamics analysis of a nonlinear energy sink for passive suppression of a parametrically excited system

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Author(s):
Franzini, Guilherme Rosa ; Belardinelli, Pierpaolo ; Lenci, Stefano
Total Authors: 3
Document type: Journal article
Source: MECCANICA; v. 59, n. 5, p. 13-pg., 2024-05-16.
Abstract

Nonlinear energy sinks (NESs) have been extensively studied to develop passive suppression strategies, with the primary objective of minimizing hazardous oscillatory responses in structures. In this work, we investigate the dynamical regimes of a parametrically excited one-degree-of-freedom system with a rotary NES (RNES) acting as a passive suppressor. By performing numerical pseudo-arclength continuations we determine the comprehensive local bifurcation scenario and illustrate, through locus maps, the impact of various RNES parameters. We identify configurations of the parametric excitation amplitude, mass, and absorber radius that result in stable vibration ranges. The dynamic scenario necessitates a precise adjustment of the RNES characteristics, tailored for either passive suppression or energy harvesting applications. Finally, we assess the resilience of the suitable vibration regions by examining the global dynamics. Basins of attraction display a fractal form, indicating a high sensitivity of the response to initial conditions. (AU)

FAPESP's process: 22/00770-0 - Nonlinear dynamics applied to engineering problems
Grantee:José Roberto Castilho Piqueira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/15046-2 - Passive suppression of parametric excitation using non-linear vibration absorber: influence of the initial condition
Grantee:Guilherme Rosa Franzini
Support Opportunities: Scholarships abroad - Research