期刊
NONLINEAR DYNAMICS
卷 58, 期 4, 页码 715-724出版社
SPRINGER
DOI: 10.1007/s11071-009-9512-1
关键词
Parametric resonance; Axially moving Timoshenko beams; Method of multiple scales; Steady-state response
资金
- National Outstanding Young Scientists' Fund of China [10725209]
- the National Natural Science Foundation of China [10702045, 10672092]
- Shanghai Municipal Education Commission Scientific Research Project [07ZZ07]
- Shanghai University [16-0401-08-005]
- Shanghai Leading Academic Discipline Project [S30106]
In this paper, parametric resonance of axially moving beams with time-dependent speed is analyzed, based on the Timoshenko model. The Hamilton principle is employed to obtain the governing equation, which is a nonlinear partial-differential equation due to the geometric nonlinearity caused by the finite stretch of the beam. The method of multiple scales is applied to predict the steady-state response. The expression of the amplitude of the steady-state response is derived from the solvability condition of eliminating secular terms. The stability of straight equilibrium and nontrivial steady-state response are analyzed by using the Lyapunov linearized stability theory. Some numerical examples are presented to demonstrate the effects of speed pulsation and the nonlinearity in the first two principal parametric resonances.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据