连续梁桥地震反应的频域辅助体系传递矩阵法  

Auxiliary System Transfer Matrix Method for Seismic Response Analysis of the Continuous Girder Bridge in Frenquency Domain

作　　者：杨帆[1] 乔文靖[1] 周润熙 YANG Fan;QIAO Wenjing;ZHOU Runxi(School of Civil & Architecture Engineering,Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]西安工业大学建筑工程学院,西安710021

出　　处：《西安工业大学学报》2021年第5期537-543,共7页Journal of Xi’an Technological University

基　　金：国家自然科学基金项目(51808423);陕西省自然科学基础研究计划项目(2021JQ-648);陕西省自然科学基础研究计划项目(2021JM-434);陕西省教育厅专项科研计划项目(19JK0410);西安市未央区科技计划项目(202019);西安市碑林区科技局应用技术研发项目(GX2010)。

摘　　要：为了提高桥梁地震反应分析精度,将辅助体系传递矩阵法与大质量法相结合,提出一种新的研究多点输入地震反应的辅助体系传递矩阵法。将无质量梁段的空间场传递矩阵、集中大质量的点传递矩阵和分支点的传递矩阵相结合,推导出了连续梁桥在一致地震输入和多点地震输入下的频域传递矩阵。对钢筋混凝土三跨连续箱梁桥进行地震反应分析,运用辅助体系传递矩阵法求解桥梁的自振频率及墩顶和跨中地震反应的时程曲线。结果表明:对于连续梁桥在一致地震输入和多点地震输入下的地震反应分析,辅助体系传递矩阵法有效可行。该方法精度高,规律性强,可为连续梁桥地震反应分析提供理论依据。In order to improve the accuracy of bridge seismic response analysis,a new auxiliary system transfer matrix method for studying multi-point input seismic response is proposed by combining the auxiliary system transfer matrix method with the large mass method.Combining the spatial field transfer matrix of massless beam segment,the point transfer matrix of concentrated large mass and the transfer matrix of branch points,the frequency domain transfer matrix of continuous beam bridge under uniform seismic input and multi-point seismic input is derived.The seismic response of reinforced concrete 3-span continuous box girder bridge is analyzed,and the auxiliary system transfer matrix method is used to solve the natural vibration frequency of the bridge and the time history curve of seismic response at pier top and mid span.The results show that the auxiliary system transfer matrix method is effective and feasible for the seismic response analysis of continuous beam bridges under uniform seismic input and multi-point seismic input.This method has high precision and strong regularity,and can provide a theoretical basis for the seismic response analysis of continuous beam bridges.

关 键 词：连续梁桥 地震反应 辅助体系传递矩阵法 钢筋混凝土 

分 类 号：U441.3[建筑科学—桥梁与隧道工程]