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不同边界条件正交各向异性圆柱壳结构固有振动分析

DOI: 10.3969/j.issn.1006??7043.201307064??

Keywords: 圆柱壳结构, 正交各向异性圆柱壳, 边界条件, 傅里叶级数, 固有振动, 特征值问题??

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Abstract:

针对现有研究在正交各向异性圆柱壳振动特性边界条件方面的局限性,采用改进的傅里叶级数方法对正交各向异性圆柱壳3个方向上的振动位移场函数进行构造,基于能量原理和瑞利-里兹步骤得到正交各向异性圆柱壳自由振动系统特征矩阵方程。结果表明,本方法所得正交各向异性圆柱壳结构模态参数与相关文献数据吻合良好,验证了本模型的正确性与可靠性。同现有方法相比,本模型能够在无须重新理论推导和计算程序的重新编写而实现各种边界条件设置,为研究边界条件对正交各向异性圆柱壳结构振动行为的影响提供一种可靠而高效的分析手段。

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