| 轴向运动功能梯度Timoshenko梁稳定性分析 |
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| 引用本文： | 赵凤群,王忠民,路小平.轴向运动功能梯度Timoshenko梁稳定性分析[J].振动与冲击,2014,33(2):14-19. |
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| 作者姓名： | 赵凤群 王忠民 路小平 |
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| 作者单位： | 1.西安理工大学 理学院，西安 710054；2.西安理工大学 土木建筑工程学院,西安 710054 |
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| 基金项目： | 陕西省教育厅科学研究计划(11JK0524);陕西省自然科学资金资助项目(2011JM1013) |
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| 摘 要： | 由Hamilton原理建立轴向运动功能梯度Timoshenko梁运动微分方程组，通过引入新未知函数，将方程组化为该函数的四阶偏微分方程。用WDQ法获得简支FGM Timoshenko梁特征方程及复频率与轴向运动速度变化关系。分析梁随轴向运动速度变化的失稳形式，并与均质材料梁进行比较。分析梯度指标、梁长高比对FGM Timoshenko梁动力稳定性影响。
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| 关 键 词： | FGM 轴向运动Timoshenko梁 稳定性 WDQ法 |
| 收稿时间： | 2012-8-28 |
| 修稿时间： | 2013-3-12 |
Stability analysis of an axially moving Timoshenko beam made of functionally graded material |
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| ZHAO Feng-qun,WANG Zhong-min,LU Xiao-ping.Stability analysis of an axially moving Timoshenko beam made of functionally graded material[J].Journal of Vibration and Shock,2014,33(2):14-19. |
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| Authors: | ZHAO Feng-qun WANG Zhong-min LU Xiao-ping |
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| Affiliation: | 1. School of Sciences, Xi’an University of Technology, Xi’an 710054, China; 2. School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710054, China |
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| Abstract: | The governing differential equations for axially moving Timoshenko beam made of functionally graded material are obtained based on the Hamilton principle. A single fourth-order partial differential equation is derived by introducing a new unknown function. For simply supported FGM Timoshenko beam, the characteristic equation is obtained by using WDQ method, and the relation of the first three orders complex frequencies of the beam with axial movement speed are given. The form of instability of the FGM Timoshenko beam in different value of axial movement speed is analyzed in detail, and compared with that of the homogeneous material beam. The effects of length-to-height ratios and gradient index on the stability of the FGM Timoshenko beam are discussed. |
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| Keywords: | FGMaxially moving Timoshenko beamstabilityWDQ method |
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