| 含孔平板弹性波散射问题的复变函数方法 |
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| 引用本文： | 胡超 马兴端. 含孔平板弹性波散射问题的复变函数方法[J]. 力学季刊, 1998, 19(2): 87-92 |
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| 作者姓名： | 胡超 马兴端 |
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| 作者单位： | 上海大学应用数学和力学研究所，上海大学应用数学和力学研究所，哈尔滨工业大学航天工程与力学系，哈尔滨工业大学航天工程与力学系 上海 200072，上海 200072，哈尔滨 150001，哈尔滨 150001 |
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| 摘 要： | 本文采用平板弯曲波动理论及复变函数方法，对平板开孔弹性波的散射及动应力集中问题进行了分析研究，得到了传播急剧记波时此种平板弯曲波动问题的分析解。若同时采用保角射技术，就为主解平板任意形状开孔弹性波的散射及动应力集中问题提供了一种统一规范的方法。作为算例，本文给出了平板开圆孔和椭圆孔附近的动应力集中系数的数值结果，并对其进行了讨论。
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| 关 键 词： | 平板 开孔 弹性波散射 动应力集中 复变函数 |
THE APPLICATION OF COMPLEX VARIABLE METHOD TO SOLVE THE SCATTERING OF ELASTIC WAVES IN PLATES WITH CUTOUTS |
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| Hu Chao Zhao Xinghua. THE APPLICATION OF COMPLEX VARIABLE METHOD TO SOLVE THE SCATTERING OF ELASTIC WAVES IN PLATES WITH CUTOUTS[J]. Chinese Quarterly Mechanics, 1998, 19(2): 87-92 |
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| Authors: | Hu Chao Zhao Xinghua |
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| Abstract: | In this paper, based on the governing equations for flexural waves of thin plates and by the use of the method of complex variable, the scattering of elastic waves in plates with cutouts and the dynamic stress concentration in the plate have been studied. An analytic method using the complex variable to solve the problem of dynamic concentration of the plate with arbitrary cutouts is established. Therefore the solution of the problem can be normalized by means of this method. In the paper, it gives out the numerical results of the coefficients of the dynamic stress of concentration around circular holes and elliptic holes of plates with discussions. |
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| Keywords: | thin plates cutout scattering of elastic waves dynamic stress concentration complex vari- able method. |
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