强震作用下变截面超高桥墩竖向时滞分析的传递矩阵法  

Vertical time lag effect analysis of variable cross-section high piers under strong earthquake excitation

作　　者：程麦理 李青宁[1] 孙建鹏[1] 尹俊红[1] 闫磊[1] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《中南大学学报（自然科学版）》2017年第3期787-793,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51078306;51408453);陕西省自然科学基础研究计划项目(2013JQ7007)~~

摘　　要：为探讨变截面超高桥墩竖向时滞效应,根据经典梁理论,构造典型杆件单元状态向量的传递关系,利用达朗贝尔原理,推导集中质量模型节点状态向量的递推公式,建立等效阶形变截面单元的传递矩阵法。结合结构在时域内振动波动传播的离散时间序列性,推导建立变截面单元状态向量在离散时间序列的传递关系,提出研究变截面超高桥墩竖向时滞效应分析的传递矩阵法。研究结果表明:采用传递矩阵法计算的变截面超高扁桥墩地震响应结果与有限差分法计算结果基本吻合;对比桥墩中点及桥墩顶节的起振时刻,得到该两点振动时滞为0.07 s,表明传递矩阵法能够有效计算分析变截面超高桥墩在强震作用下的竖向时滞。传递矩阵法计算结果正确、算法可行,可用于指导变截面超高桥墩结构的动力分析和设计。In order to investigate vertical time-lag effect on variable cross-section high bridge pier, typical member unit state vector＇s transitive relation was constructed according to classical beam theory. According to d＇Alembert＇s principle, node state vector＇s recurrence formula of the lumped mass model was derived. Equivalent stepped variable cross-section unit＇s transfer matrix method is proposed. Considering structure seismic propagation＇s discrete time sequence in time domain, variable cross-section unit state vector＇s transitive relation in discrete time sequence was constructed. Transfer matrix method to investigate vertical time-lag effect on variable cross-section high bridge pier was proposed. The results show that seismic response of variable cross-section high plat bridge pier calculated by the transfer matrix method is closely related to the finite difference method; comparing vibration beginning time of middle position of the pier and top position of the pier, time lag is calculated to be 0.07 s, and the transfer matrix method is verified to be useful in analyzing vertical time-lag effect on variable cross-section high bridge pier in strong earthquake. Calculated results by the transfer matrix method are correct and this method is viable.

关 键 词：强震作用 变截面单元 状态向量 传递矩阵法 离散时间序列 时滞效应 

分 类 号：TU997[建筑科学—市政工程]