Scattering of SH waves by a scalene triangular hill with a shallow cavity in half-space  

作　　者：Sun Yingchao Yang Zailin Yang Yong Wang Guangyi 

机构地区：[1]College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China [2]AVIC-HONGDU,Nanchang 330024,China [3]Key Laboratory of Advanced Material of Ship and Mechanics,Ministry of Industry and Information Technology,Harbin Engineering University,Harbin 150001,China [4]Engineering Research Institute of Appraisal and Strengthening,Shandong Jianzhu University,Jinan 250101,China [5]Jiangxi Technology Innovation Center of Advanced Aviation Structure and System Integration,Nanchang 330024,China

出　　处：《Earthquake Engineering and Engineering Vibration》2022年第4期877-897,共21页地震工程与工程振动（英文刊）

基　　金：National Natural Science Foundation of China under Grant No. 12072085;Research Team Project of Heilongjiang Natural Science Foundation under Grant No. TD2020A001;the Opening Fund of Acoustics Science and Technology Laboratory under Grant No. SSKF2020011;the Fundamental Research Funds for the Central Universities under Grant No. 3072021CF0206;the program for Innovative Research Team in China Earthquake Administration

摘　　要：In this study,a theoretical approach is used to investigate the scattering problem of circular holes under a scalene triangle on the surface.The wave displacement function is obtained by solving the Helmholtz equation that meets the zero-stress boundary conditions by adopting the method of separation of variables.Based on the complex function,multi-polar coordinate method,and region-matching technique,algebraic equations are established at auxiliary boundaries and free boundaries conditions in a complex domain.The auxiliary circle is used to solve the singularity of the reflex angle at the triangle corner.Then,according to sample statistics,the least squares method is used instead of the Fourier expansion method to solve the undetermined coefficient of the algebraic equations by discrete boundary.Numerical results show that the continuity of the auxiliary boundaries and the accuracy of the zero-stress boundaries are adequate,and the displacement of the free surface and the stress of the circular hole are related to the shape of the triangle,the position of the circular hole,the direction of the incident wave,and the frequency content of the excitation.Finally,time-domain responses are calculated by FFT based on the frequency domain theory,and the results reveal the wave propagation mechanism in a complicated structure.

关 键 词：earthquake ground motions theoretical seismology wave scattering and diffraction wave propagation 

分 类 号：P315.9[天文地球—地震学]