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该文针对大型挠性桁架结构的振动抑制问题,采用基于变形修正的物理降阶方法对大规模桁架精细有限元模型进行降阶,在此基础上设计线性二次高斯(LQG)最优控制律并完成初始脉冲力作用下的闭环系统仿真。通过与内平衡降阶方法的比较,说明基于物理降阶模型具有更高的计算效率。并且针对闭环数值仿真结果计算了以上两种不同降阶方法的控制效率,结果表明:在相同控制力的情况下,基于物理降阶模型设计的最优控制律对桁架结构的振动抑制效果更明显。
In order to reduce the vibration of large-scale flexible truss structure, this paper uses the physical reduction method based on deformation correction to reduce the size of the large-scale truss finite element model. Based on this, we design the LQG optimal control law The closed-loop system simulation under initial pulse force is completed. Compared with the internal balance reduction method, it shows that the physics reduction model has higher computational efficiency. The control efficiencies of the above two different methods are calculated for the closed-loop numerical simulation results. The results show that the optimal control law based on the reduced-order model is more effective in restraining the vibration of the truss structure under the same control force .