## 留言板

 引用本文: 王波. 轴向运动三参数黏弹性梁弱受迫振动的渐近分析[J]. 应用数学和力学, 2012, 33(6): 771-780.
WANG Bo. Asymptotic Analysis on Weakly Forced Vibration of an Axially Moving Viscoelastic Beam Constituted by Standard Linear Solid Model[J]. Applied Mathematics and Mechanics, 2012, 33(6): 771-780. doi: 10.3879/j.issn.1000-0887.2012.06.010
 Citation: WANG Bo. Asymptotic Analysis on Weakly Forced Vibration of an Axially Moving Viscoelastic Beam Constituted by Standard Linear Solid Model[J]. Applied Mathematics and Mechanics, 2012, 33(6): 771-780.

• 中图分类号: O326

## Asymptotic Analysis on Weakly Forced Vibration of an Axially Moving Viscoelastic Beam Constituted by Standard Linear Solid Model

• 摘要: 研究了轴向运动三参数黏弹性梁的弱受迫振动．建立了轴向运动三参数黏弹性梁受迫振动的控制方程．使用多尺度法渐近分析了运动梁的稳态响应，导出了解稳定性边界方程、稳态振幅的表达式以及稳态响应非零解的存在条件．依据Routh-Hurwitz定律决定了非线性稳态响应非零解的稳定性．
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##### 出版历程
• 收稿日期:  2011-05-09
• 修回日期:  2012-02-29
• 刊出日期:  2012-06-15

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