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框架结构振动控制系统可靠性研究
引用本文:陈道政,周星德.框架结构振动控制系统可靠性研究[J].应用力学学报,2005,22(1):83-86.
作者姓名:陈道政  周星德
作者单位:1. 合肥工业大学,合肥,230009
2. 河海大学,南京,210098
基金项目:江苏省自然科学基金资助项目(No:BK2003083)
摘    要:振动控制系统的可靠性可以反映出主动控制的效果,本文提出了一种适合于确定框架结构控制系统可靠性的计算方法。该方法利用模态变换,把系统变为模态独立的振动方程,根据Field提出的假设,先定义阈值,假设控制后系统响应对阈值的穿阈率服从泊松分布,然后根据各模态的控制结果确定相应的可靠性,最后根据Veneziano提出的方法给出系统的可靠性。文中提出针对框架最大位移的控制输出来确定系统可靠性概念;此外,在系统降阶和控制方法方面,选择了基于系统可控性的平衡降阶法和针对系统不确定性具有较好控制效果的广义预测控制,最后给出了计算实例,算例表明这一方法是有效的。

关 键 词:可靠性  广义预测控制  框架  主动控制
文章编号:1000-4939(2005)01-0083-04

Reliability of Vibration Control System of Frame Structures
Chen Daozheng,Zhou Xingde.Reliability of Vibration Control System of Frame Structures[J].Chinese Journal of Applied Mechanics,2005,22(1):83-86.
Authors:Chen Daozheng  Zhou Xingde
Institution:Chen Daozheng 1 Zhou Xingde 2
Abstract:Reliability of vibration control under earthquake enables to reflect the effect of active control. An approach to solving frame structures reliability is presented, where the original system vibration equations are alternated into unattached ones by the aid of mode transfer, and then according to the Field supposition defineing outcrossing values, the outcrossing rates of controlled system responses are considered as POSSION distribution, and the reliability of all modes can be acquired, and then the system reliability can be gotten by the aid of Veneziano's method. An idea that the system reliability can be decided by the control outputs on the maximum displacement parts is proposed. Moreover, the balance reduction method based on controllability and the generalized predictive control plan with better control effect on the uncertainty system are used to analyze system reliability. And a numerical example shows the effectiveness of the method.
Keywords:reliability  generalized predictive control  frame  active control  
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