CAJ | 학술논문

研究具有轴向运动速度、变长度悬臂梁的横向振动控制,提出了两种主动控制方案.采用Hamilton原理得到了端部带主动振子或跨内含有主动控制力的轴向运动悬臂梁的振动方程和边界条件.运用修正的伽辽金法得到了求解系统响应的近似方程.运用LQR法设计了主动振子和主动力的控制器,其中采用加权系数法选择Q,R矩阵.用数值计算仿真了两种控制方案的效果.结果表明采用主动振子或主动力都能够有效地控制轴向运动悬臂梁的横向振动.在相同的初始条件下,主动力控制的效果比主动振子要好,但主动振子的物理可实现性要优于主动力.
연구구유축향운동속도、변장도현비량적횡향진동공제,제출료량충주동공제방안.채용Hamilton원리득도료단부대주동진자혹과내함유주동공제력적축향운동현비량적진동방정화변계조건.운용수정적가료금법득도료구해계통향응적근사방정.운용LQR법설계료주동진자화주동력적공제기,기중채용가권계수법선택Q,R구진.용수치계산방진료량충공제방안적효과.결과표명채용주동진자혹주동력도능구유효지공제축향운동현비량적횡향진동.재상동적초시조건하,주동력공제적효과비주동진자요호,단주동진자적물리가실현성요우우주동력.
The control of the transverse vibration of an axially moving cantilever beam is studied and two control methods are presented in the paper. The transverse vibration equation and boundary conditions are formulated by the Hamilton principle. The instant linearized equations are set up based on Galerkin method for the approximation solution. The controllers for active vibrator and active force are designed based on LQR method. The optimal Q and R matrices are selected by the weighting coefficient method. The two control methods are simulated by a numerical example. The results show that the two control methods can all suppress the transverse vibration effectively. The control result of the latter method is better than that of the active vibrator method, but the active vibrator is more realizable than the former in practice.