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不同土体中单排弹性桩对水平向剪切波的隔离

The isolation of horizontal shear wave using single row of elastic cylindrical piles in bi-medium soils

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【作者】 李冬王慧聪宋天舒

【Author】 LI Dong;WANG Huicong;SONG Tianshu;Department of Civil Engineering,Hebei Jiaotong Vocational & Technical College;College of Aerospace and Civil Engineering,Harbin Engineering University;

【机构】 河北交通职业技术学院土木工程系哈尔滨工程大学航天与建筑工程学院

【摘要】 采用Green函数法和"契合"思想研究不同土体中界面上单排弹性桩对SH波的隔离问题。首先构造适于本问题的位移Green函数,然后利用"契合"思想并结合界面上的应力和位移连续条件,将问题转化为一组第一类Fredholm积分方程,得到了弹性桩后位移和透射系数的解析表达式,并进行数值求解。最后作为算例,给出了等间距单排8个弹性圆柱桩对SH波的隔离效果图,分析了剪切弹性模量、桩间距等对桩后隔离效果的影响规律。通过分析曲线得出:隔振的最佳区域并不是弹性桩中心线后的近距离范围内,而是位于弹性桩后的一定距离上;当桩间距s/R<1时,桩后区域取得最佳隔振效果。

【Abstract】 Based on the methods of Green’s function and conjunction,the isolation of horizontal shear wave using single row of elastic discontinuous barrier in bi-medium soils is studied. The displacement Green’s function,which is suitable for the present problem is constructed by using complex variable function. Based on the method of conjunction and the continuity condition of the interface,the problem is reduced to a series of Fredholm integral equations of the first kind. The analytical expressions of displacement and transmission coefficient behind the elastic barrier are established,which are solved by numerical method. Some calculation examples,which are assumed that there are eight elastic cylindrical piles with equal space are plotted to discuss the influences of the shear elastic modulus,the pile spacing etc. on the isolation effect. It concludes by analyzing these curves that the best isolation location is in a distance behind the elastic piles and isn’t in the close range of the center line; The best isolation effect is obtained when the pile spacing is s / R < 1.

【基金】 河北省教育厅青年自然科学基金项目(Q2012031);河北交通职业技术学院科学技术项目(Y-201103)
  • 【文献出处】 地震工程与工程振动 ,Earthquake Engineering and Engineering Dynamics , 编辑部邮箱 ,2015年02期
  • 【分类号】TU473.1
  • 【下载频次】36
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