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含孔平板弹性波散射问题的复变函数方法 总被引:1,自引:0,他引:1
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。 相似文献
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基于平板小挠度弯曲波动方程,采用摄动方法具有纵向内力作用下的平板开孔弹性波的散射问题进行了研究,得么了传播稳态波时此种平板弯曲波动问题的分析解,分析了均匀纵向内力对弹性波散射结果的影响,作为算例,本文给出了平板圆形开孔的动应力集中系数的数值结果,并对计算结果进行了讨论。 相似文献
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无限大板开孔弹性波的散射及动应力集中 总被引:2,自引:1,他引:2
采用弹性平板理论及复变函数理论,对含孔无限大平板弹性波的散射及动应力集中问题进行了分析研究,建立了求解平板开孔动应力集中问题的复变函数方法。若同时采用映射变换,就为求解平板开任意形状孔的动应力集中问题提供了一种规范而有效的方法。为说明问题,本文给出了平板开圆孔及椭圆孔动应力集中因子的数值结果。 相似文献
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摘要:本文基于复变函数与保角映射法,采用平板弯曲振动精确化方程[9],对含任意形开孔平板中弹性波散射与动应力集中问题进行了研究。利用正交函数展开的方法将待解的问题归结为对一组无穷代数方程组的求解。作为算例,计算了自由边界条件下圆孔和椭圆孔的动弯矩集中系数的数值结果,并对板厚与孔径比对动弯矩分布的影响做了分析研究。结果表明:入射波数、平板厚度和椭圆偏心率等参数对动弯矩的分布都有很大的影响。在较低频率和平板较薄的情况下,基于文献[9]的方程与基于Mindlin板的动弯矩结果在数值分布上是基本一致的;在较高频率和平板较厚的情况下,基于文献[9]的方程与基于Mindlin板的动弯矩结果在数值分布计算结果相差较大。由于文献[9]给出的平板振动精确化方程是在没有任何工程假设条件下得到的,因此本文的分析计算结果更精确一些。 相似文献
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Using the complex variable method and conformal mapping, scattering of flexural waves and dynamic stress concentrations in
Mindlin's thick plates with a cutout have been studied. The general solution of the stress problem of the thick plate satisfying
the boundary conditions on the contour of cutouts is obtained. Applying the orthogonal function expansion technique, the dynamic
stress problem can be reduced into the solution of a set of infinite algebraic equations. As examples, numerical results for
the dynamic stress concentration factor in Mindlin's plates with a circular, elliptic cutout are graphically presented in
sequence.
The project supported by the National Natural Science Foundation of China 相似文献
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Hu Chao Ma Xingrui Huang Wenhu 《Acta Mechanica Solida Sinica》1997,10(2):167-178
By using the complex variable method and conformal mapping,the diffraction of flexu-ral waves and dynamic stress concentrations in thick plates with a cavity have been studied.A generalsolution of the stress problem of the thick plate satisfying the boundary conditions on the contour of anarbitrary cavity is obtained.By employing the orthogonal function expansion technique,the dynamicstress problem can be reduced to the solution of an infinite algebraic equation series.As an example,the numerical results for the dynamic stress concentration factor in thick plates with a circular,ellipticcavity are graphically presented.The numerical results are discussed. 相似文献
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Chuan-ping Zhou Qiao-yi Wang Denghao Chen Chao Hu Ban Wang Fai Ma 《Acta Mechanica Solida Sinica》2018,(3)
Based on the refined dynamic equation of stretching plates, the elastic tensioncompression wave scattering and dynamic stress concentrations in the thick plate with two cutouts are studied. In view of the problem that the shear stress is automatically satisfied under the free boundary condition, the generalized stress of the first-order vanishing moment of shear stress is considered. The numerical results indicate that, as the cutout is thick, the maximum value of the dynamic stress factor obtained using the refined dynamic theory is 19% higher than that from the solution of plane stress problems of elastic dynamics. 相似文献
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1.IntroductionThefocusofmuch'researcllforalongtimehasbeenontheinvestigationofstressconcentrationsofthincylindricalshellsll--41.Thestressproblemisdiscussedinreferences[5,6].Whentheratioofthicknesshofshellstothecutoutsizeroisnotrathersmall,thegoverningequationofReissuer'sshallowshellincludingtheeffectoftransversesheardeformationsmustbeusedl7-sl.Thethickshelltheorymakesupweaknessesoftheclassicaltheoryofthinshells.Thetheoryofthickshellscanbeusedforanalyzingstressconcentrationsofcircularcylindrica… 相似文献