contributor author | O. V. Gendelman | |
contributor author | Yu. Starosvetsky | |
date accessioned | 2017-05-09T00:22:35Z | |
date available | 2017-05-09T00:22:35Z | |
date copyright | March, 2007 | |
date issued | 2007 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26621#325_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135154 | |
description abstract | Quasi-periodic response of a linear oscillator attached to nonlinear energy sink with relatively small mass under external sinusoidal forcing in a vicinity of main (1:1) resonance is studied analytically and numerically. It is shown that the quasi-periodic response is exhibited in well-defined amplitude-frequency range of the external force. Two qualitatively different regimes of the quasi-periodic response are revealed. The first appears as a result of linear instability of the steady-state regime of the oscillations. The second one occurs due to interaction of the dynamical flow with invariant manifold of damped-forced nonlinear normal mode of the system, resulting in hysteretic motion of the flow in the vicinity of this mode. Parameters of external forcing giving rise to the quasi-periodic response are predicted by means of simplified analytic model. The model also allows predicting that the stable quasi-periodic regimes appear for certain range of damping coefficient. All findings of the simplified analytic model are verified numerically and considerable agreement is observed. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing | |
type | Journal Paper | |
journal volume | 74 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2198546 | |
journal fristpage | 325 | |
journal lastpage | 331 | |
identifier eissn | 1528-9036 | |
keywords | Stability | |
keywords | Harmonic oscillators | |
keywords | Equations | |
keywords | Manifolds | |
keywords | Steady state | |
keywords | Damping | |
keywords | Force | |
keywords | Simulation | |
keywords | Shapes | |
keywords | Oscillations | |
keywords | Resonance | |
keywords | Flow (Dynamics) AND Motion | |
tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002 | |
contenttype | Fulltext | |