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 带形介质内SH型导波对圆柱孔洞的动力分析 Alternative Title Dynamic analyses of SH guided waves by circular cylindrical cavity in an elastic strip 齐辉; 蔡立明; 潘向南; 张洋 Source Publication 工程力学 2015-03-25 Volume 32Issue:3Pages:9-14+21 Abstract 弹性板壳的反平面运动中由缺陷引起的应力集中问题可以按照带形介质中圆柱孔洞对SH型导波的散射问题来分析。首先,构造带形介质中相容导波的形式,即其满足上、下边界应力自由条件。之后,由波函数展开法给出圆柱孔洞散射波的级数表示,根据累次镜像叠加的方法构造由上、下边界反射所形成的相容的散射导波。最后,给定入射导波,由圆柱孔洞边界应力自由的条件来定解波函数级数的系数。数值算例求解了特定导波对圆柱孔洞的散射,给出了圆柱孔洞边沿的动应力分布,讨论了导波阶数、频率以及孔洞位置的影响。 Other Abstract Dynamic stress concentrations during anti-plane motion caused by a defect an elastic shell can be treated as a scattering problem of a circular cylindrical cavity with SH guided waves in an elastic strip for the purposes of analysis. Firstly, a compatible guided wave is formulated in the elastic strip, which satisfies stress free conditions in upper and lower bounds. Secondly, the scattering of waves around a circular cylindrical cavity is expressed as series form by the employed wave function expansion method, and compatible scattering guided waves resulting from the reflection of waves off the bounds of the elastic strip is constructed by repeated image superposition. Lastly, the coefficients of the wave function expansion are determined based on the stress free condition of circular cylindrical bounds with pre-given incident guided waves. Numerical calculating examples are presented to solve scattering around a circular cylindrical cavity with a given SH guided wave, to describe dynamic stress distribution at the edge of a cavity, and to discuss influences of guided orders, frequencies, and positions of cavity. ©, 2015, Tsinghua University. All right reserved. Keyword Sh波 导波 散射 圆柱孔洞 弹性带形介质 动应力集中 Indexed By EI ; CSCD Language 中文 CSCD ID CSCD:5373404 Department LNM金属材料微结构与力学性能 Classification 其他 Citation statistics Cited Times:2[CSCD]   [CSCD Record] Document Type 期刊论文 Identifier http://dspace.imech.ac.cn/handle/311007/58229 Collection 非线性力学国家重点实验室 Recommended CitationGB/T 7714 齐辉,蔡立明,潘向南,等. 带形介质内SH型导波对圆柱孔洞的动力分析[J]. 工程力学,2015,32(3):9-14+21. APA 齐辉,蔡立明,潘向南,&张洋.(2015).带形介质内SH型导波对圆柱孔洞的动力分析.工程力学,32(3),9-14+21. MLA 齐辉,et al."带形介质内SH型导波对圆柱孔洞的动力分析".工程力学 32.3(2015):9-14+21.