Abstract
The system under investigation comprises a linear oscillator coupled to a strongly asymmetric 2 degree-of-freedom (2DOF) purely cubic nonlinear energy sink (NES) under harmonic forcing.We study periodic, quasiperiodic, and chaotic response regimes of the system in the vicinity of 1:1 resonance and evaluate the abilities of the 2DOF NES tomitigate the vibrations of the primary system. Earlier research showed that single degree-of-freedom (SDOF) NES can efficiently mitigate the undesired oscillations, if limited to relatively low forcing amplitudes. In this paper, we demonstrate that the additional degree-of-freedom of the NES considerably broadens the range of amplitudes where efficient mitigation is possible. Efficiency limits of the system with the 2DOF NES are evaluated numerically. Analytic approximations for simple response regimes are also developed.
| Original language | English |
|---|---|
| Pages (from-to) | 1889-1902 |
| Number of pages | 14 |
| Journal | Nonlinear Dynamics |
| Volume | 69 |
| Issue number | 4 |
| DOIs | |
| State | Published - Sep 2012 |
Keywords
- Nonlinear energy sink
- Targeted energy transfer
- Vibration absorption
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering