期刊文献+

半无限空间界面附近SH波对圆形衬砌的散射 被引量:19

Dynamic analysis of shallow-embedded lining structure by incident SH-wave
下载PDF
导出
摘要 建立了求解半无限空间中SH波对浅埋圆形衬砌结构的散射与动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法,在复平面上构造出了一个可以预先满足半空间自由表面上应力自由的边界条件的浅埋圆形衬砌对稳态SH波散射的波函数,并构造出衬砌内的散射波函数。然后根据衬砌周围的边界条件,将该问题转化为对一组无穷代数方程组的求解。最后给出了具体算例,并讨论了其数值结果。 An analytic method is developed for the problem of dynamic stress concentration of a shallow-embedded circular lining structure impacted by the steady SH-wave in this paper. The first important thing is to construct a scattering wave function in the medium based upon the symmetry of scattering of SH-wave and the method of multi-polar coordinates system, which satisfies the condition of stress free at the ground surface of the half-space containing a shallow-embedded circular lining structure, and then the scattering wave functions for the lining structure are constructed. Using the boundary conditions around the lining structure, the solution of the problem can be reduced to a series of algebraic equations. Finally, numerical examples are provided and discussed.
出处 《地震工程与工程振动》 CSCD 北大核心 2003年第3期41-46,共6页 Earthquake Engineering and Engineering Dynamics
基金 国家自然科学基金(59578003) 博士点基金(9521702)
关键词 半无限空间 SH波 圆形衬砌结构 散射 动应力集中 解析方法 边界条件 入射波 scattering of SH-waves dynamic stress concentration half-space shallow-embedded circular lining structure
  • 相关文献

参考文献9

  • 1刘殿魁,刘宏伟.SH波散射与界面圆孔附近的动应力集中[J].力学学报,1998,30(5):597-604. 被引量:52
  • 2史守峡,刘殿魁.SH波与界面多圆孔的散射及动应力集中[J].力学学报,2001,33(1):60-70. 被引量:24
  • 3林皋.地下结构抗震分析综述(上)[J].世界地震工程,1990,6(2):1-10. 被引量:127
  • 4S. K. Datta, Diffraction of SH - Waves by an Elliptic Cylinder [ J ]. Int. J. Solid and Str. 10 (1974) : 123 - 133.
  • 5Liu D.K. Gai. B. Z. and Tao G.Y. ,Applications of the Method of Complex Function to Dynamic Stress Concentration[J]. Wave motion, 1982(4) : 293 -304.
  • 6Pao. Yih -hsing, Applied mechanics in science and engineering[ J ]. Applied Mechanics Review, 1998 51 (2) :141 -153.
  • 7Pao. Y. H. and Mow. C. C. The Diffraction of Elastic Waves and Dynamic Stress Concentrations[M]. Crane & Russak. New York. 1973.
  • 8R. D. Gregory, An Expansion Theorem Applicable to Problems of Wave Propagation in an Elastic Half Space Containing a Cavity[ J]. Proc Camb,Philos Soc. 63(1967) :1341 -1367.
  • 9Gregory. R. D. Propagation of Waves in an Elastic Half Space Containing a Circular Cylindrical Cavity [ J ]. Prec. Camb. Philos. Soc. 67(1970) :689 - 710.

二级参考文献13

共引文献178

同被引文献137

引证文献19

二级引证文献99

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部