基于模态阻尼指标的空间杆系结构作动器位置优化

针对空间杆系结构作动器的位置优化问题,本文基于线性二次型最优控制理论（LQR）,建立了空间杆系结构振动的主动控制系统,提出了目标控制模态的模态阻尼最大化的作动器位置优化准则. 采用四角锥网架结构和Levy型索穹顶结构来验证本文方法的有效性,并在控制效果和控制能量输入两方面与常用的模态控制力方法进行了对比分析. 结果表明：随着作动器数量的增加,本文方法的控制效果和控制能量输入比模态控制力方法提升更快;在作动器数量相同或控制能量输入相同时,本文方法对外界激励的控制效果优于模态控制力方法.

Actuator Placement Optimization for Spatial Truss Structure Based on Modal Damping Index

In order to obtain actuator placement optimization for the spatial truss stucture,this paper constructs the active vibration control system of spatial truss structure based on linear quadratic regulator （LQR） optimal controller theory, and maximizing the modal damping of the target control mode is proposed as the actuator placement optimization criterion. The effectiveness of the proposed method is verified by using the square pyramid space grid structure and the Levy-type cable dome structure, and the control effect and energy input are compared with those of the existing method. The comparison results show that with the increase of the number of actuators, the control effect and control energy input of the proposed method tend to stabilize faster than that of the existing method; when the number of actuators is the same or the energy input is the same, the control effect of the proposed method is better than that of the existing method.