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SH波入射时等腰三角形与半圆形凸起地形的地震动 总被引：2，自引：0，他引：2
利用复变函数和移动坐标研究了等腰三角形凸起和半圆形凸起地形对SH波的散射.首先将求解区域分为三个部分,区域I为一个带有半圆形弧线的等腰三角形区域,区域II为含有两个半圆形凹陷的弹性半空间,区域III为包括半圆形凸起在内的圆形区域.在区域I中构造满足在腰三角形斜边上应力自由的驻波函数WA,在区域II中分别构造两个半圆形凹陷的散射波WB和WC,且两者均预先满足水平界面上应力为零的边界条件,在区域III构造一个上半部边界应力为零,而其余部分位移、应力任意的驻波函数.将所研究的问题转换成一个求解满足在"公共边界"上位移应力连续的问题.可利用坐标移动方法,通过傅立叶级数展开,建立该问题代数方程组,并采用截断有限项的方法对其进行求解.最后,给出了一个算例. 相似文献
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SH波入射时多个半圆形沉积谷地附近浅埋圆形孔洞的动力分析 总被引：3，自引：0，他引：3
本文采用辅助函数的思想,利用复变函数和多级坐标的方法给出了SH波入射条件下多个半圆形沉积谷地附近浅埋圆形孔洞动力分析问题的解答。将整个求解区域分割成两部分来处理,区域I为多个半圆形沉积谷地,区域II为浅埋圆形孔洞附近带半圆形凹陷的半无限弹性空间。在区域I和II中分别构造位移解,并在二个区域的“公共边界”上实施位移应力的连续条件,建立求解该问题的无穷代数方程组。最后,本文给出了算例和数值结果,并对其进行了讨论。 相似文献
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In this paper, antiplane response of an isosceles triangular hill to incident SH waves is studied based on the method of complex
function and by using moving coordinate system. The standing wave function, which can satisfy the governing equation and boundary
condition, is provided. Furthermore, numerical examples are presented; the influences of wave number and angle of the incident
waves and the angle of the hill's peak on ground motion are discussed. 相似文献
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Scattering of SH waves by a scalene triangular hill 总被引：1，自引：1，他引：0
<正>The influence of local landforms on ground motion is an important problem.The antiplane response of a scalene triangular hill to incident SH waves is studied in this paper by using a complex function,moving coordinates and auxiliary functions.First,the model is divided into two domains:a scalene triangular hill with a semi-circular bottom;and a half space with a semi-circular canyon.Wave functions that satisfy the zero-stress condition at the triangular wedges and at the horizontal surface are constructed in both domains.Then,considering the displacement continuity and stress equilibrium, algebraic equations are established.Finally,numerical examples are provided to illustrate the influence of the geometry of the hill and the characteristics of the incident waves on the ground motions. 相似文献
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Seismic capacity, including the ultimate load-carrying capacity and ultimate deformation capacity of precast segmental concrete double-column(PSCDC) piers with steel sleeve(SS) connection or grouted corrugated-metal duct(GCMD) connection, has been verified to be similar to those of cast-in-place(CIP) piers by quasi-static tests. However, the lack of knowledge of seismic response characteristics and damage process of PSCDC piers has limited their application in high-intensity seismic areas. Therefore, shake table tests, using variable types and intensities of seismic ground motions, were performed to investigate the seismic behavior of connection joints and to evaluate the seismic performance of PSCDC piers with SS and GCMD connections. Also, a finite element analysis(FEA) model was developed to study the influence of design parameters on the seismic behavior of the piers. The results showed that the main damage in PSCDC piers was caused by the cyclic opening and closing of connection joints. Under high-intensity ground motions, the PSCDC piers had a lower seismic performance than the CIP piers due to a significant decrease of their integrity and stiffness. The seismic performance of PSCDC piers is comparable to CIP piers when using an appropriate initial stress of the prestressing tendons. 相似文献
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