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工程力学  2015 

热弹性正交双曲壳广义H-R变分原理和齐次向量方程

DOI: 10.6052/j.issn.1000-4750.2013.10.0996, PP. 8-14

Keywords: 热弹性体,正交双曲壳,广义H-R变分原理,对偶变量理论,齐次向量方程

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Abstract:

基于热弹性体基本方程,根据弹性体修正后的H-R变分原理,建立正交双曲坐标系下热弹性体在温度梯度下的广义H-R变分原理,并推导了相应的非齐次广义Hamilton正则方程。再根据对偶变量理论,通过增加方程的维数,导出了可独立求解的齐次向量方程。齐次向量方程的导出,大大简化了热弹性层合正交双曲壳的求解过程,提高了计算精度。实例分析验证了该文方法的正确性。

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