地铁地下车站在非一致性地震输入下的动力响应

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (12) : 103-107.

论文

地铁地下车站在非一致性地震输入下的动力响应

何伟1; 陈健云1,2

作者信息 +

Adaptive active vibration control for frictional structures based on LuGre model

He Wei1,3; Chen Jian-wei1,2

Author information +

文章历史 +

摘要

由于近年来城市地下空间的开发，修建了一大批地铁车站，这些大尺度地下结构的出现，为工程抗震提出了新的课题。首先详细阐述了基于设计反应谱合成空间相关多点地震波的方法，合成的地震波不仅具有地震动的空间相关性，同时还具有强度和频率含量的双重非平稳性；再分别建立了位于三种场地中的地铁车站三维有限元模型，用无限单元来模拟无限域的影响，在此基础上分析了一致与非一致地震动输入情况下该地铁车站的地震响应特征。结果表明：在软土场地中，地震动的非一致性使车站轴向各中柱位移产生了较大的相位差，同时对侧墙的动应力影响较大；在中等和硬土场地中，地震动的非一致性对结构的动力响应影响较小，一般可以忽略。建议在对软土场地中的大尺度车站结构进行地震反应分析时，应考虑地震动的非一致性影响。

Abstract

Based on the LuGre dynamic friction model，a model reference adaptive controller (MRAC) is proposed to solve the vibration isolation problem of frictional structures with undetermined parameters. The dynamic model of the single-degree-of-freedom (SDOF) frictional structure is established using the LuGre dynamic friction model to describe the friction force. With choosing the ideal Skyhook structure as the reference model, a dual-observer is used to estimate the state of the friction, and a MRAC active controller is designed. It is proven by the Lyapunov method that the closed-loop system is asymptotically stable, and that both the displacement tracking error and the velocity tracking error converge to zeros. The simulative study is carried out and the results show that this kind of controller not only greatly decreases the response of frictional structures near the resonance frequency, but also improves the system’s vibration isolation performance at higher frequency.

导出引用

何伟;陈健云;. 地铁地下车站在非一致性地震输入下的动力响应[J]. 振动与冲击, 2011, 30(12): 103-107

He Wei;Chen Jian-wei;. Adaptive active vibration control for frictional structures based on LuGre model[J]. Journal of Vibration and Shock, 2011, 30(12): 103-107