| 反对称角铺设复合材料层合板热后屈曲和模态跃迁分析 |
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| 引用本文： | 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(8):169-174. |
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| 作者姓名： | 钟轶峰 余文斌 |
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| 作者单位： | 1. 重庆大学土木工程学院，重庆 400045；2. 山地城镇建设与新技术教育部重点实验室(重庆大学)，重庆 400045；3. 犹他州立大学机械与航空工程系，美国 84322-4130 |
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| 基金项目： | 中央高校基本科研业务费(CDJZR10200017) |
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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。
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| 关 键 词： | 复合材料力学 层合板 热后屈曲 模态跃迁 |
| 收稿时间： | 2010-11-23 |
| 修稿时间： | 2011-1-30 |
Thermal post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates |
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| 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(8):169-174. |
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| Authors: | ZHONG Yi-feng YU Wen-bin |
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| Affiliation: | 1. School of Civil Engineering, Chongqing 400045, China；2.Key Laboratory of New Technology for Construction of Cities in Mountain Area(Chongqing University), Ministry of Education, Chongqing 400045, China；3. Department of mechanics and aerospace engineering, Utah state University, U.S |
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| 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 according to 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 differ... |
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| Keywords: | mechanics of composite materials laminates thermal post-buckling mode jumping |
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