阻尼耗能减振框架结构地震作用振动方程求解及地震反应分析Calculation of vibration equation and analysis of seismic response for damping energy dissipation frame structure

研究了设置耗能阻尼器框架的地震作用振动方程求解及该结构的地震反应。框架结构设置耗能阻尼器后，振动方程的阻尼矩阵不再对振型具有正交性，本文对该振动方程给出了状态方程直接积分法，并与传统强制解耦法进行了比较分析，结果表明强制解耦法对结构第一阶振动反应求解偏差较小，而对于高阶振动反应差别较大，并且强制解耦法高估了阻尼器的减震效果。继而采用状态方程直接积分法对设置有粘滞阻尼器的框架结构进行了地震反应分析，探讨了阻尼器位置对框架结构地震反应的影响，结果表明设置有阻尼器的楼层减振效果明显，未设置阻尼器的楼层减振效果差别较大，甚至有可能出现楼层层间侧移增大的现象，由此提出耗能阻尼器应在结构中合理设置。

Calculation of vibration equation and analysis of seismic response for damping energy dissipation f rame structure

The calculation of vibration equation and analysis of seismic response for damping energy dissipation frame structure are studied.In this vibration equation,the damping matrix is not orthogonal to vibration mode.The direct integration of state equation method was adopted to solve the vibration equation of damping energy dissipation frame structure,and compared with the forced decoupling method.The results show that the forced decoupling method has smaller deviation on the first order vibration response from that of the direct integration of state equation method,but larger deviation on higher order vibration response.Furthermore,the forced decoupling method overestimate the damping effect of the dampers.Then,the seismic response of frame structures with viscous damper have been analyzed according to the direct integration of state equation method,and the influence of damper position on seismic response is investigated.The results indicate the damping effect may be obvious on the storey with dampers; but much different on the storey without dampers,sometimes the storey drifts even increase.Therefore,dampers in structure should be designed reasonably.