基于Hilbert-Huang变换理论的结构振动主动变刚度频率控制  

Vibration response frequency control of structures with active variable stiffness based on hilbert-huang transform theory

作　　者：汪权[1] 王建国[1] 张鸣祥[1] 

机构地区：[1]合肥工业大学,合肥230009

出　　处：《应用力学学报》2010年第2期310-315,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10572046);土木工程防灾减灾安徽省工程技术研究中心资助

摘　　要：在主动变刚度(AVS)控制策略的基础上,提出一种新的结构振动控制主动变刚度频率控制算法。首先利用Hilbert-Huang变换理论将地震信号分解为有限数量的固有模态函数(IMF),再对这些IMF求解瞬时频率,进而获得信号的时频谱。由地震信号的瞬时频率与结构固有频率构造AVS控制切换准则,当两者频率接近时,AVS装置改变结构的刚度以抑制地震激励下的结构响应。选取两个建筑结构的Benchmark模型作为算例给出仿真分析,结果表明该方法能有效地控制受控结构的地震响应。Building structures subjected to earthquake will produce resonance when the external excitation frequency and its natural frequency come closer.Based on active variable stiffness method,a novel active variable stiffness frequency control algorithm for seismic response control is presented.Firstly,signals are decomposed into a limited number of intrinsic mode functions(IFMs).From these IMFs,instantaneous frequency is calculated,and the time-frequency spectra of the signals are finally determined.The switch control logic is constructed by earthquake instantaneous frequency and natural frequency of the structures,the stiffness of structures is changed to reduce the response to seismic excitation when the instantaneous frequency is closed to the frequency of structures.Two steel-framed Benchmark models are taken to demonstrate the effectiveness of the proposed algorithm through simulation analysis,and the seismic response of the structures are reduced effectively.

关 键 词：经验模态分解 固有模态函数 Hilbert—Huang变换 非平稳信号 主动变刚度 频率控 制算法 

分 类 号：TU311.3[建筑科学—结构工程] O327[理学—一般力学与力学基础]