An Analytical Solution for Seismic Interaction between Urban River-Canyon Topography and Nearby Buildings

Liguo Jin,Su Chen,Xujin Liu,Zhenghua Zhou,Zengshun Chen

doi:10.1155/2021/8648000

Abstract

The interaction between urban river-canyon topography and the river-side building is investigated by using a whole analytic model of a semicircle river-canyon and a shear wall supported by a semicircle rigid foundation embedded in a homogenous half-space. The closed-form analytical solution for system response is presented based on the wave function expansion method. The analysis focuses on the effects of the canyon-building interaction on system response. The strength of the interaction between the river-canyon topography and the building changes periodically as the distance between the canyon and the structure increases, leading to the interaction having beneficial or harmful effects on the building’s seismic response. The foundation peak response of the building can be amplified by about 10%, and the peak of the building relative response can be amplified by about 40%. The distribution of canyon-structure spacing with strong or weak interaction is closely related to the dynamic characteristics of the building and the incident angle of the wave. When designing buildings along the river, the building and canyon should be analyzed as a whole model to determine whether the location of the building is in a position with strong interaction with the river-canyon. The model in this paper may be useful for obtaining insight into the effects of canyon-structure interaction and interpreting the observed response in buildings and seismic response estimation in general.

Highlights

When a strong earthquake occurs, seismic waves scatter on the canyon boundary and the surface of the building foundation. eir scattering wave fields will couple with each other, forming the complex canyon-structure interaction system. erefore, the ground motion characteristics of the canyon site and the building seismic response are no longer determined only by the seismic response characteristics of the canyon site. e correct results may not be obtained if only the canyon topography and the surrounding soil are taken out for analysis
In many valley-structure intervals, the results of the valleystructure interaction model are greater than the results of single building model [1]. e distribution of valley-structure spacing with strong or weak interaction is closely related to the dynamic characteristics of the building itself and the incident angle of the wave. erefore, when designing buildings along the river, the building and canyon should be modeled and analyzed as a whole to determine whether the location of the building is in a position with strong interaction with the river-canyon
Conclusions is paper established a 2D model for the anti-plane dynamic interaction between the urban river-canyon and the river-side building and presented a closed-form analytical solution for the system response based on the wave function expansion method. e main features of the interaction between the river-canyon and the building along the river are investigated by the analytical solution. e conclusions and findings are as follows: (1) e canyon-structure interaction depends on the distances between the canyon and the riverside building and on the frequency of the incident wave and the incident angle

Summary

Introduction

Academic Editor: Zengshun Chen e interaction between urban river-canyon topography and the river-side building is investigated by using a whole analytic model of a semicircle river-canyon and a shear wall supported by a semicircle rigid foundation embedded in a homogenous halfspace. e closed-form analytical solution for system response is presented based on the wave function expansion method. e analysis focuses on the effects of the canyon-building interaction on system response. e strength of the interaction between the river-canyon topography and the building changes periodically as the distance between the canyon and the structure increases, leading to the interaction having beneficial or harmful effects on the building’s seismic response. e foundation peak response of the building can be amplified by about 10%, and the peak of the building relative response can be amplified by about 40%. e distribution of canyon-structure spacing with strong or weak interaction is closely related to the dynamic characteristics of the building and the incident angle of the wave. E strength of the interaction between the river-canyon topography and the building changes periodically as the distance between the canyon and the structure increases, leading to the interaction having beneficial or harmful effects on the building’s seismic response. E model in this paper may be useful for obtaining insight into the effects of canyon-structure interaction and interpreting the observed response in buildings and seismic response estimation in general. The amplification effect of canyon topography on ground motions received widespread attention [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] Scholars considered this amplification effect of canyon topography on building responses only through studying the ground motion characteristics of canyon sites rather than directly seeing the canyon and the nearby buildings as a whole model to study the interaction. It is reasonable to analyze the river-canyon, the soil, and the buildings along the river as a whole model

Methods

Results

Conclusion