论文部分内容阅读
本文基于带集中参数边界条件的分布参数连续梁理论,推导规则隔震梁桥单墩-质点(SCM)地震时程响应的计算步骤。在控制方程边界条件引入等效基础弹簧和墩顶隔震层变形协调条件,解析地获得各阶实模态,用牛顿法搜索各阶频率。为了处理隔震层非比例阻尼产生的耦联效应,由能量法分配各阶实振型的隔震层附加阻尼比,实现体系的实模态近似解耦,应用振型叠加法求解体系的地震时程响应。最后应用该方法对一规则隔震梁桥SCM体系的地震响应进行分析,与有限元时程积分的结果进行比较,表明此方法的有效性。计算结果表明,采用墩顶隔震策略的单墩-质点体系能显著减小结构响应,具有良好的减震效果。
Based on the continuous beam theory of distributed parameters with concentrated parameter boundary conditions, this paper derives the calculating procedure of the time-history response of the single pier-mass point (SCM) seismic isolation girder bridge. In the boundary conditions of the control equations, the equivalent basic springs and the deformation coordination conditions of the pier top isolation layer are introduced, and the real modes of each order are analytically obtained, and the frequencies of all orders are searched by Newton method. In order to deal with the coupling effect caused by the non-proportional damping of the isolation layer, the additional damping ratio of the real-isolation isolation layers of different orders is distributed by the energy method to realize the real mode decoupling of the system. The mode superposition method is used to solve the earthquake Time course response. Finally, this method is applied to analyze the seismic response of a regular seismic isolation beam bridge SCM system and compared with the result of finite element time-integration, which shows the effectiveness of this method. The calculation results show that the single pier - particle system with pier top isolation strategy can significantly reduce the structural response and has a good damping effect.