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相邻多个浅圆弧凹陷地形对平面SH波散射的级数解 总被引：11，自引：2，他引：9
本文采用解析法研究相邻多个线圆弧凹陷地形对平面SH波散射问题。文中由分离变量法把相邻多个圆弧凹陷对平面SH波的多重散射表示为各局部坐标中的级数之和,再利用Graf加法公式的内域和外域表达式进一步表示某个局部坐标中的双重无穷级数形式。问题最后可归结为求解一组无穷型的线性代数方程。文末给出了相邻两个等直径浅圆弧凹陷地形的多种深宽比对地面运动的影响的计算结果,并讨论了浅圆凹陷地形对波的屏蔽及它们之间的相互作用。 相似文献
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In this paper, a theory of thick-walled shells is established by means of Hellinger-Reissner's variational principle, with displacement and stress assumptions. The displacements are expanded into power series of the thickness coordinate. Only the first four and the first three terms are used for the displacements parallel and normal to the middle surface respectively. The normal extruding and transverse shear stresses are assumed to bt, cubic polynomials and to satLyfy the boundary stress conditions on the outer and inner surfaces of the shell. The governing equations and boundary conditions are derived by means of variational principle. As an example, a thick-walled cylindrical.shell is disscussed with the theory proposed. Furthermore, a photoelastic experiment has been carried out, and the results are in fair agreement with the computations. 相似文献
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土质边坡失稳的突变性分析 总被引：15，自引：0，他引：15
对土质边坡圆弧滑动稳定性问题，采用应力软化模型，由系统能量导出极限平衡方程，运用突变理论方法对土坡失稳进行了分析。分析表明，边坡参数变化为某一临界值时，土坡的滑动位移突然增大，发生突变失稳现象，由刚体极限平衡稳定理论无法体现应力软化土质边坡的这种失稳的突变性。 相似文献
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采用小参数摄动法和Ｌａｐｌａｃｅ变换研究了非线性弹性岩土中球壳对冲击波的动力响应问题。系统的非线性方程由小参数摄动渐近展开后，利用Ｓｔｏｋｅｓ－Ｈｅｌｍｈｏｌｔｚ矢量分解定理把它们简化为一系列的线性波动方程，并由Ｌａｐｌａｃｅ变换和本征函数给出了各线性波动方程的求解。最后，对平面冲击波和球面冲击波给出了球壳动力响应的应力结果。 相似文献
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房营光 《应用数学和力学(英文版)》1998,19(11):1073-1082
I.IntroductionManyoflargemarinestructureshavebeenbuiltinrecentyearstomeetthemeedsofoceanresourcesdevelopmentanduse.Thesestructuresinharshcircumstanceundergosevereloadingconditionandconsumegreatly.sothattheproblemsofsafereliabilityandabilityofdisasterpreventionareofgreatimportancetothesestructuresandspecialattentionispayedtothestructuredynamicbehaviourofanti-vibration,whichpromotestheresearchontheproblemsoflargestructuredynamicsl'l.ThefixedfoundationofotTshoreoilplatform,asusual,iscylindricals… 相似文献