The Relationship of Buckle Pattern Change and Vibration Mode Shifting: Thermal Postbuckling and Vibration of Composite Laminates

Shih-Yao Kuo, L. Shiau, Jing-Wei Chuang, C. Cheng
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Abstract

The thermal postbuckling and free vibration behaviors of composite laminates were simultaneously investigated using the finite element method. Due to the uneven thermal expansion in the two principal material directions, the buckling mode of the plate may change from one pattern to another in the postbuckling region. Because of this buckle pattern change, the sequence of natural frequencies of the plate is also suddenly altered. By examining the local minimum of total potential energy of each buckling mode, thermal induced in-plane forces, and mode shapes, a clear picture of buckle pattern change and vibration mode shifting is obtained and the relationship between the buckling mode and fundamental natural mode is further clarified. The temperature gradient effect is also discussed in detail.
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复合材料层合板的热后屈曲和振动与屈曲模式变化的关系
采用有限元方法同时研究了复合材料层合板的热后屈曲和自由振动行为。由于两个主要材料方向的热膨胀不均匀,板的屈曲模式可能在屈曲后区域从一种模式转变为另一种模式。由于这种弯曲模式的改变,板的固有频率序列也突然改变。通过考察各屈曲模态总势能的局部最小值、热诱导面内力和振型振型,得到了屈曲模态变化和振动模态转换的清晰图像,进一步阐明了屈曲模态与基本固有模态的关系。并详细讨论了温度梯度效应。
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