复合材料封闭变截面薄壁梁自由振动分析

马静敏;a;任勇生;b 姚文莉;c

振动与冲击 ›› 2012, Vol. 31 ›› Issue (14) : 117-123.

PDF(1919 KB)
PDF(1919 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (14) : 117-123.
论文

复合材料封闭变截面薄壁梁自由振动分析

  • 马静敏1, a, 任勇生2, b 姚文莉3,c
作者信息 +

Free vibration analysis of composite thin-walled cantilever beams with variable closed-section

  • Ma Jing-min1, a, Ren Yong-sheng2, b,Yao Wen-li3,c
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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。


Abstract

Abstract:The equations of motion for the free vibration of composite thin-wall variable closed-section beams are derived based on Lagrange’s equation of the second kind. Two stiffness configuration of taper box beams are considered and corresponding simplified form of the free vibration equations and Galerkin solution method are presented. The finite element analysis software, ANSYS is used to calculate the natural frequency of composite thin-walled cantilever beams. And the results are compared with Galerkin solutions. The influence of composite elastic coupling, ply angle and taper ratio to thin-walled beams’ free vibration is investigated.

关键词

复合材料 / 薄壁梁 / 固有频率 / 变截面 / ANSYS软件

Key words

composite / thin-wall beam / natural frequency / variable cross-section / ANSYS software

引用本文

导出引用
马静敏;a;任勇生;b 姚文莉;c. 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
Ma Jing-min;a;Ren Yong-sheng;b;Yao Wen-li;c. Free vibration analysis of composite thin-walled cantilever beams with variable closed-section[J]. Journal of Vibration and Shock, 2012, 31(14): 117-123

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