Approximate and numerical analysis of nonlinear forced vibration of axially moving viscoelastic beams
Approximate and numerical analysis of nonlinear forced vibration of axially moving viscoelastic beams
复制标题
轴向移动粘弹性梁非线性受迫振动的近似与数值分析
DOI：
10.1007/s10409-011-0434-z
复制
发表时间：
2011-05
影响因子：
3.5
通讯作者：
Li-Qun Chen
中科院分区：
文献类型：
--
作者：
Hu Ding;Li-Qun Chen
通过近似分析和数值验证，研究了轴向运动混合支承粘弹性梁的稳态周期响应。假设激励在空间上是均匀的，在时间上是谐波的。轴向运动梁的横向运动由一个非线性偏微分方程和一个非线性积分偏微分方程控制。在粘弹性本构关系中引入了材料对时间的导数。将多尺度方法应用于控制方程，研究了一般边界条件下的主共振。结果表明，不参与共振的模式对稳态响应没有影响。数值算例验证了边界约束刚度对稳态响应的幅值和稳定性的影响。两个控制方程的结果定性相同，但定量不同。通过多尺度方法，发展了微分求积格式来验证这些结果。
Steady-state periodical response is investigated for an axially moving viscoelastic beam with hybrid supports via approximate analysis with numerical confirmation. It is assumed that the excitation is spatially uniform and temporally harmonic. The transverse motion of axially moving beams is governed by a nonlinear partial-differential equation and a nonlinear integro-partial-differential equation. The material time derivative is used in the viscoelastic constitutive relation. The method of multiple scales is applied to the governing equations to investigate primary resonances under general boundary conditions. It is demonstrated that the mode uninvolved in the resonance has no effect on the steady-state response. Numerical examples are presented to demonstrate the effects of the boundary constraint stiffness on the amplitude and the stability of the steady-state response. The results derived for two governing equations are qualitatively the same, but quantitatively different. The differential quadrature schemes are developed to verify those results via the method of multiple scales.
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影响因子：
4.1
作者：
Liqun Chen;Xiaodong Yang
通讯作者：
Liqun Chen;Xiaodong Yang
影响因子：
5
作者：
M. Ghayesh;Sara Balar
通讯作者：
M. Ghayesh;Sara Balar
影响因子：
3.2
作者：
F. Pellicano;F. Zirilli
通讯作者：
F. Pellicano;F. Zirilli
DOI：
10.1016/j.ijsolstr.2008.08.002
发表时间：
2008-12
影响因子：
3.6
作者：
M. Ghayesh;Sara Balar
通讯作者：
M. Ghayesh;Sara Balar
DOI：
10.1142/s0218127407017963
发表时间：
2007-05
期刊：
Int. J. Bifurc. Chaos
影响因子：
--
作者：
W. Zhang;C. Song
通讯作者：
W. Zhang;C. Song