框架结构主动控制最优时滞研究

在结构振动主动控制中,时滞的大小对结构控制能量和响应均产生影响。在允许时滞的范围内,把结构控制能量和响应作为目标函数,数值仿真发现目标函数随着时滞的变化呈现曲线状态,这说明存在最优时滞。在目标函数处理方面,考虑到控制能量和响应数量级不一致,本文采用了无量纲化处理。同时,考虑到地震波的随机性,本文还推导了含控制力的改进的随机Newmark方法。最后给出了一个计算实例。实例表明本文所提出的方法是有效的。

Research on optimal time-delay of active vibration control of frame structures

The sizes of time-delay certainly will be influence on the structural energy and responses of active vibration control of frame structures.In the range of allowable time-delays,in the paper,both the structural energy and responses are taken as the object function,numerical simulation shows that the object function present a curve state when the time-delay is changed.In the hand of the object function transaction,a no dimensional operation is adopted to eliminate the inconsistent quantity between the structural energy and responses.Meanwhile,considering the randomicity of earthquakes,an improved stochastic Newmark scheme is provided.Finally,a numerical example is presented to show the effectiveness of proposed algorithm.