轴向运动层合薄壁圆柱壳内共振的数值分析

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (22) : 82-86.

论文

轴向运动层合薄壁圆柱壳内共振的数值分析

张宇飞1,3，王延庆2，闻邦椿3

作者信息 +

ANALYSIS ON THE INTERNAL RESONANCE OF AXIALLY MOVING LAMINATED THIN CYLINDRICAL SHELLS

Zhang Yu-Fei 1,3，Wang Yan-Qing 2， Wen Bang-Chun3

Author information +

文章历史 +

摘要

以轴向运动复合材料薄壁圆柱壳作为研究模型，考虑复合材料圆柱壳的弹性模量随其振动频率而变化(动态弹性模量)，根据Donnell非线性扁壳理论及经典层合壳理论得到模型的非线性振动微分方程。采用包含四个广义模态坐标的位移展开式，利用Galerkin方法对振动微分方程进行离散化，然后应用变步长四阶Runge-Kutta法对非线性模态方程组进行数值积分，研究了复合材料圆柱壳的1:1:1:1内共振现象。最后讨论了圆柱壳的轴向运动速度、阻尼系数及外激励幅值对系统1:1:1:1内共振响应的作用。

Abstract

A thin composite circular cylindrical shell moving in axial direction is investigated in this paper. Based on Donnell’s nonlinear shallow-shell theory, together with classical laminated shell theory, nonlinear vibration equation of the system is derived, in which the effect of dynamic Young’s modulus, damping and geometric large-amplitude are considered. The modal expansion with four generalized coordinates is adopted, and the vibration equation is discretized by using the Galerkin method. Applying variable step-size four-order Runge-Kutta method, we solve the nonlinear modal equations of the system, and obtain nonlinear frequency-response curves, which show 1:1:1:1 internal resonance phenomenon in the system. At last, the effects of moving speed, damping coefficients and amplitudes of external force on the nonlinear vibration response of the shell are also investigated.

导出引用

张宇飞1,3，王延庆2，闻邦椿3. 轴向运动层合薄壁圆柱壳内共振的数值分析[J]. 振动与冲击, 2015, 34(22): 82-86

Zhang Yu-Fei 1,3，Wang Yan-Qing 2， Wen Bang-Chun3. ANALYSIS ON THE INTERNAL RESONANCE OF AXIALLY MOVING LAMINATED THIN CYLINDRICAL SHELLS[J]. Journal of Vibration and Shock, 2015, 34(22): 82-86

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