消能伸臂体系简化算法及控制效果研究

The simplified algorithm and control effects of the damped outriggers system

为方便求解消能伸臂体系的地震响应,基于分布参数体系理论,将消能伸臂体系简化为带转动弹簧-阻尼模型的悬臂梁体系,提出了地震响应简化分析的"Maxwell型阻尼器法"及"虚拟小质量法";推导了基于Clough-Penzien谱模型的状态拓展方程,并通过Lyapunov方程得到了随机地震响应。研究表明:所提出的两种方法与有限元法计算结果吻合较好,计算简便且具有较高的准确性;外柱刚度比对消能伸臂体系的减震性能影响较大,当外柱刚度比较大时,存在最优伸臂阻尼比;消能伸臂体系具有良好的减震效果,且各伸臂阻尼比等值与非等值的最优情况,最终所得的控制效果相差不大,但考虑到实际工程应用,建议采用各阻尼比等值的情况,以降低制造和安装成本。

In order to facilitate the calculation of the seismic response of the damped outriggers system,based on the distributed parameter system theory,the damped outriggers system is simplified to a cantilever beam system with multi-rotation-springdampers.Two new methods,namely"Maxell damper type method"and"virtual small mass method",are proposed for simplified seismic response analysis.In addition,the corresponding expansion state equation based on Clough-Penzien spectrum model is derived,and the random earthquake response is obtained through Lyapunov equation.The research shows that the results obtained from the two proposed methods are in good agreement with those of the finite element method,and the calculation is simple and has relatively high accuracy.The stiffness ratio of the exterior column has a greater impact on the seismic mitigation performance,and when it is relatively large,there is an optimal outrigger damping ratio.The damped outriggers system has excellent aseismic performance.The optimal situations of the equivalent value and the non-equivalent value of damping ratios are not much different from the view of the final control effect.But considering the actual engineering application,it is recommended to use the equivalent value of each damping ratio to reduce manufacturing and installation costs.