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利用半解析方法分析了周向导波在任意梯度分布圆柱壳的频散特性.在假设材料参数沿圆柱壳径向按任意梯度变化的基础上,应用带状单元法,将功能梯度壳分成若干子层.对于细分子层可认为其材料参数为常值,并以此构造带状单元,获得导波在圆柱壳中周向传播时的特征值问题,通过求解该特征值问题,得到了导波的频散特性.最后通过算例讨论了材料参数沿径向按余弦函数分布时,不同梯度参数及内外径比对导波频散特性的影响.
The semi-analytical method is used to analyze the dispersion characteristics of the circumferential guided wave in a cylindrical shell with arbitrary gradient distribution. On the basis of assuming that the material parameters vary along an arbitrary gradient in the radial direction of the cylindrical shell, the functional gradient shell is divided into several sub-elements For the sublayer, it can be considered that the material parameters are constant, and the band elements are constructed to obtain the eigenvalue problem of the guided wave propagating in the circumferential direction of the cylindrical shell. By solving this eigenvalue problem, the guided wave Finally, an example is given to discuss the influence of different gradient parameters and inner / outer diameter ratio on the dispersion characteristics of guided waves when the material parameters are distributed in the radial direction according to the cosine function.