LQR算法对粘弹性阻尼器参数的优化设计

鉴于粘弹性阻尼器(VED)对结构减震控制的局限性,采用等效刚度和等效阻尼的力学模型,对VED的参数优化问题进行了研究。基于LQR的最优控制算法,提出一种以VED控制下结构的振动响应去逼近最优控制下结构振动响应的VED参数优化的新方法,通过对一个加入VED的3层混凝土框架结构进行动力响应数值分析,得出结论：本文方法是相对简单的;所提出的VED参数优化方法能够使结构动力响应得到有效的控制,该方法的控制效果与采用最优控制算法的计算结果较为接近,验证了该方法的有效性;利用上述方法优化VED参数,对结构进行振动控制,虽然无法达到全状态最优增益反馈控制力的主动控制效果,但经过优化后的动力反应逼近最优控制算法的结果。该方法为VED在结构减震控制方面取得更好的减震效果提供了理论参考。

Parameter Optimization of Viscoelastic Dampers Based on LQR algorithm

In view of the limitations of application of viscoelastic dampers (VEDs) on structural vibration control, a study on parameter optimization of VED is carried on, by means of utilization of equivalent stiffness and damping model. Based on the Linear Quadratic Regulator (LQR) optimal algorithm, a new parameter optimization method is proposed, the idea of which is to make the structural responses under passive control to approximate those of active control as far as possible. The dynamic responses of a three-layer reinforced concrete frame with VEDs are analyzed, and the results demonstrate that the structural dynamic responses are efficiently under control by using the proposed parameter optimization method. Obviously the proposed optimization method for VEDs is simple and efficient, because of the results of which can extremely approach to the optimal control results, although the control effects can"t reach the active control effects of the full state optimal gain feedback control force. Results of this study will lend ideas to getting better control effects for VEDs applied in structural vibration control.