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剪切波对饱和土体中圆形衬砌的动力集中

Dynamic Stress Concentration of Circular Lining in Saturated Soil by Shear Waves

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【作者】 铁瑛徐平夏唐代

【Author】 TIE Ying1,XU Ping2,XIA Tang-dai3(1.School of Mechanical Engineering,Zhengzhou University,Zhengzhou 450001,China;2.School of Water Conservation and Environment,Zhengzhou University,Zhengzhou 450001,China;3.Institution of Geotechnical Engineering,Zhejiang University,Hangzhou 310027,China)

【机构】 郑州大学机械工程学院郑州大学水利与环境学院浙江大学岩土工程研究所

【摘要】 采用修正的Biot波动方程,运用波函数展开法研究了剪切波入射时,饱和土体内深埋圆形衬砌的散射问题,通过数值计算分析了衬砌内侧的动应力集中因子Sd与界面处饱和土体的孔压集中因子p*f的变化规律.结果表明:当剪切波为低频和中频入射时,Sd和p*f沿周向的分布曲线比较光滑,而且Sd和p*f受衬砌厚度影响较小,而高频时Sd和p*f沿周向的分布曲线出现大量的凹进和凸出部分,而且在大部分区域Sd和p*f随着衬砌厚度的增大而减小.

【Abstract】 The amended Biot’s model of wave motion and the expansion method of wave functions are adopted,and the scattering problem of circular lining deeply buried in saturated soil by incident shear waves is studied.Dynamic stress concentration factor(Sd) at inner side of the lining and pore pressure concentration factor(pf*) at the boundary between the lining and saturated soil are analyzed.The results show that the curves of Sd and pf* are smooth and nearly not influenced by the lining’s thickness when the incident frequencies of shear waves are lower,while the curves of Sd and pf* have concave and convex parts and Sd and pf* decrease with the increasing of lining’s thickness when the incident frequencies of shear waves are higher.

【基金】 国家青年自然科学基金资助项目,编号50809064
  • 【文献出处】 郑州大学学报(理学版) ,Journal of Zhengzhou University(Natural Science Edition) , 编辑部邮箱 ,2009年02期
  • 【分类号】TU435
  • 【被引频次】1
  • 【下载频次】61
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