振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
17期
127-131,137
,共6页
沉积谷地%半圆形凸起%SH 波散射%地震动
沉積穀地%半圓形凸起%SH 波散射%地震動
침적곡지%반원형철기%SH 파산사%지진동
alluvial valley%semi-cylindrical hill%scattering of SH-wave%ground motion
采用复变函数法研究了 SH 波入射下半圆形凸起与沉积谷地相连地形的地震动情况。整个求解区域分为三部分,在其中分别构造满足各自边界条件的位移解,然后利用复变函数和移动坐标法使之满足相应的“公共边界”的边界条件,从而建立起求解该问题的无穷代数方程组。给出的具体算例表明,入射波波数,入射角,沉积谷地的半径、剪切模量等参数对凸起部分地表位移幅值有显著影响。
採用複變函數法研究瞭 SH 波入射下半圓形凸起與沉積穀地相連地形的地震動情況。整箇求解區域分為三部分,在其中分彆構造滿足各自邊界條件的位移解,然後利用複變函數和移動坐標法使之滿足相應的“公共邊界”的邊界條件,從而建立起求解該問題的無窮代數方程組。給齣的具體算例錶明,入射波波數,入射角,沉積穀地的半徑、剪切模量等參數對凸起部分地錶位移幅值有顯著影響。
채용복변함수법연구료 SH 파입사하반원형철기여침적곡지상련지형적지진동정황。정개구해구역분위삼부분,재기중분별구조만족각자변계조건적위이해,연후이용복변함수화이동좌표법사지만족상응적“공공변계”적변계조건,종이건립기구해해문제적무궁대수방정조。급출적구체산례표명,입사파파수,입사각,침적곡지적반경、전절모량등삼수대철기부분지표위이폭치유현저영향。
Surface motion of a semi-cylindrical hill joined with a semi-cylindrical alluvial valley under incident SH-waves was studied using the complex function method.The whole solving domain was divided into three parts,different displacement solutions were constructed to satisfy the respective boundary conditions of the three parts.Then,the constructed displacement solutions were made to satisfy the “common boundary conditions”with the complex function and moving coordinate methods.Finally,the infinite algebraic equations were established to solve the problem.The numerical results indicated that the surface displacement characteristics around the semi-cylindrical hill depend on wave number of the incident wave,incident angle,and material properties of the alluvial valley.