| 复合材料封闭变截面薄壁梁自由振动分析 |
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| 引用本文： | 马静敏,任勇生,姚文莉.复合材料封闭变截面薄壁梁自由振动分析[J].振动与冲击,2012,31(14):117-123. |
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| 作者姓名： | 马静敏 任勇生 姚文莉 |
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| 作者单位： | 山东科技大学理学院, 266510 2山东科技大学机械电子工程学院, 2665103青岛理工大学理学院, 266510 |
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| 基金项目： | 国家自然科学基金，山东省教育厅科技计划资助项目 |
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| 摘 要： | 摘要：基于拉格朗日方程建立了复合材料封闭变截面薄壁梁的自由振动微分方程，给出了两种刚度配置下的变矩形截面悬臂直梁的自由振动方程简化形式及其相应的迦辽金法求解的固有频率。基于大型通用有限元软件ANSYS，计算了薄壁变截面悬臂梁的固有频率，并且与迦辽金法的求解结果进行了对比。分析了复合材料的弹性耦合，铺层角度和截面变化对薄壁梁的自由振动的影响。
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| 关 键 词： | 复合材料 薄壁梁 固有频率 变截面 ANSYS软件 |
| 收稿时间： | 2011-3-30 |
| 修稿时间： | 2011-6-22 |
Free vibration analysis of composite thin-walled cantilever beams with variable closed cross-section |
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| MA Jing-min
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REN Yong-sheng
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YAO Wen-li.Free vibration analysis of composite thin-walled cantilever beams with variable closed cross-section[J].Journal of Vibration and Shock,2012,31(14):117-123. |
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| Authors: | MA Jing-min REN Yong-sheng YAO Wen-li |
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| Affiliation: | 1College of Science, Shandong University of Science and Technology, 266510, China 2College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, 266510, China3College of Science, Qingdao Technological University, 266510, China |
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| Abstract: | The equations of motion for the free vibration of composite thin-wall variable closed cross-section beams were derived based on Lagrange’s equation of the second kind.Two taper box beams with different stiffness distribution were taken into account and their corresponding simplified forms of the free vibration equations were presented and solved by means of Galerkin method.The finite element analysis software,ANSYS was used to calculate the natural frequencies of the composite thin-walled cantilever beams.The results were compared with Galerkin solutions.The influences of composite elastic coupling,ply angle and taper ratio on thin-walled beams’ free vibration were investigated. |
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| Keywords: | composite thin-wall beam natural frequency variable cross-section ANSYS software |
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