contributor author | Van Khang, Nguyen | |
contributor author | Thuy, Bui Thi | |
contributor author | Chung, Phạm Thanh | |
date accessioned | 2022-05-08T09:02:11Z | |
date available | 2022-05-08T09:02:11Z | |
date copyright | 4/12/2022 12:00:00 AM | |
date issued | 2022 | |
identifier issn | 1555-1415 | |
identifier other | cnd_017_08_081004.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4284654 | |
description abstract | In this paper, the parametric resonance of third-order parametric nonlinear system with dynamic friction and fractional damping is investigated using the asymptotic method. The approximately analytical solution for the system is first determined, and the amplitude–frequency equation of the oscillator is established. The stability condition of the resonance solution is then obtained by means of Lyapunov theory. Additionally, the effect of the fractional derivative on the system dynamics is analyzed. The effects of the two parameters of the fractional-order derivative, i.e., the fractional coefficient and the fractional order, on the amplitude–frequency curves are investigated. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Calculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping | |
type | Journal Paper | |
journal volume | 17 | |
journal issue | 8 | |
journal title | Journal of Computational and Nonlinear Dynamics | |
identifier doi | 10.1115/1.4054151 | |
journal fristpage | 81004-1 | |
journal lastpage | 81004-10 | |
page | 10 | |
tree | Journal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008 | |
contenttype | Fulltext | |