VIBRATION ANALYSIS AND SUPPRESSION CONTROL OF AN ELEVATOR STRING ACTUATED BY A PM SYNCHRONOUS SERVO MOTOR
VIBRATION ANALYSIS AND SUPPRESSION CONTROL OF AN ELEVATOR STRING ACTUATED BY A PM SYNCHRONOUS SERVO MOTOR
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DOI：
10.1006/jsvi.1997.1102
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发表时间：
1997-09
影响因子：
4.7
通讯作者：
R. Fung;J. Lin;C. Yao
中科院分区：
文献类型：
--
作者：
R. Fung;J. Lin;C. Yao
本文介绍了运动吊卡管柱的振动分析和抑制控制。本文首先提出了一个时变长度、下端有重物的弦的非线性振动的动力学方程。采用永磁同步伺服电动机作为执行机构驱动转子。根据汉密尔顿原理，导出了一组描述该系统的非线性时变微分方程。由于弦线缠绕在转子上或从转子上缠绕，转子的质量和惯性与时间有关。Galerkin方法与时间相关的基函数来确定近似解。变结构控制（VSC）计划被应用到抑制瞬态振幅的振动。根据系统状态与弦线和转子的理想状态之间的误差来确定滑动面。数值计算结果表明，该方法可以有效地控制动弦的运动诱导振动，提高转子的跟踪性能。
Abstract This paper presents the vibration analysis and suppression control of a moving elevator string. A dynamic formulation is proposed first for the non-linear vibrations of the string with time-varying length and a weight attached at the lower end. The permanent magnet (PM) synchronous sevo motor is used as the actuator to drive the rotor. A set of non-linear, time-varying differential equations describing this system is derived by Hamilton's principle. Due to the winding of the string either on or off the rotor, the mass and inertia of the rotor are time-dependent. The Galerkin method is used with time-dependent basis functions to determine the approximate solutions. A variable structure control (VSC) scheme is applied to suppress the transient amplitudes of vibrations. The sliding surfaces are determined in terms of the errors between the system states and the ideal states of the string and the rotor. The numerical results show that the motion-induced vibrations of the moving string and the tracking performance of the rotor can be controlled effectively.