反对称角铺设复合材料层合板热后屈曲和模态跃迁分析

钟轶峰;余文斌

振动与冲击 ›› 2011, Vol. 30 ›› Issue (08) : 2-8.

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PDF(1184 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (08) : 2-8.
论文

反对称角铺设复合材料层合板热后屈曲和模态跃迁分析

  • 钟轶峰1,2,余文斌3
作者信息 +

Thermal Post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates

  • ZHONG Yi-feng1,2 , YU Wen-bin3
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摘要

为有效分析反对称角铺设复合材料层压板热后屈曲性能,由渐近修正几何非线性理论推导双耦合四阶偏微分方程(即协调方程和动态控制方程),通过双Fourier级数将耦合非线性控制偏微分方程转换为系列非线性常微分方程,从而获得相对简单的求解方法。使用广义Galerkin方法求解与角交铺设复合层合板相关的边界值问题,研究了模态跃迁前后不同复杂程度的后屈曲模式。通过四边简支、面内不可移边界下复合层合板的数值计算表明:该解析法与有限元方法在主后屈曲区域的计算结果有很好的吻合性;有限元方法在解靠近二次分岔点时失去收敛性,而解析法仍具有深入探索后屈曲区域和准确捕捉模态跃迁现象的能力。

Abstract

In order to effectively analyze the thermal post-buckling performance of antisymmetric angle-ply composite laminates, the two coupled fourth-order governing partial differential equations, namely, the compatibility equation and dynamic governing equation, were deduced from the asymptotically correct, geometrically nonlinear theory. A relatively simpler solution method was developed to solve those equations by transforming the coupled nonlinear governing equations into a system of nonlinear ordinary differential equations and using double Fourier series. The generalized Galerkin method was used to solve boundary value problems corresponding to antisymmetric angle-ply composite plates. The post buckling patterns with different complex before and after mode jumping were analyzed. An example of 4-layers composite laminates under simple-supported, in-plane constrained boundary condition shows that the numerical results in the primary post-buckling region from the present method agree with the finite element analysis (FEA); while the FEA may lose its convergence when solution comes close to the secondary bifurcation point, the analytic method has the capability to explore deeply into the post-secondary bucking realm and capture the mode jumping phenomenon.

关键词

复合材料力学 / 层合板 / 热后屈曲 / 模态跃迁

Key words

mechanics of composite materials / laminates / thermal postbuckling / mode Jumping

引用本文

导出引用
钟轶峰;余文斌. 反对称角铺设复合材料层合板热后屈曲和模态跃迁分析[J]. 振动与冲击, 2011, 30(08): 2-8
ZHONG Yi-feng;;YU Wen-bin. Thermal Post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates[J]. Journal of Vibration and Shock, 2011, 30(08): 2-8

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