Application of residue theorem in cross-correlation coefficients on multi-support and multi-component response spectrum method

被引：0

作者：

Zhao P. ^{[1
,2
]}

Ye C. ^{[1
,2
]}

Liu F. ^{[1
,2
]}

Zhang Q. ^{[1
,2
]}

Zhang G. ^{[1
,2
]}

机构：

[1] National Engineering Research Center of Building Technology, Beijing

[2] China Academy of Building Research, Beijing

来源：

Jianzhu Jiegou Xuebao/Journal of Building Structures | 2022年 / 43卷 / 06期

基金：

英国医学研究理事会;

关键词：

Cross-correlation coefficient; Multi-component and multi-support; Residue theorem; Response spectrum method; Spatial correlation;

D O I：

10.14006/j.jzjgxb.2021.0088

中图分类号：

学科分类号：

摘要：

Based on current research, in order to avoid the complicated integral calculation in getting the accurate value of cross-correlation coefficients of multi-component and multi-support response spectrum method, residue theorem was applied to this issue so that the representation of the formulas can be transformed to efficient analytical expression. The analytical formulas of cross-correlation coefficients considering multi-component and multi-support seismic excitations can take the factors of the response coupling dynamic and static component, incoherence effect and cross directions as well as wave passage effect into account. The analytical formulas are equivalent to integral expression. Meanwhile, this transformation leads to 100 times increase of efficiency at least which leads to a great advantage of the response spectrum method compared to the time history analysis method and makes it possible to achieve multi-component and multi-support response spectrum method by current structural design software. Based on the current code, two simplified methods which are more efficient were proposed. With the response spectrum method under multi-component and multi-support seismic excitations, structural response characteristics of a high-speed railway station were discussed. Compared with the result from time history analysis, the accuracy of the method can be verified. Meanwhile, the efficiency of the response spectrum method is much higher. © 2022, Editorial Office of Journal of Building Structures. All right reserved.

引用

页码：294 / 302

页数：8

共 20 条

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