Analyses of Longitudinal Vibration and Energetics on Flexible Hoisting Systems with Arbitrarily Varying Length
Analyses of Longitudinal Vibration and Energetics on Flexible Hoisting Systems with Arbitrarily Varying Length
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发表时间：
2008
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通讯作者：
Liang-juan Zhang
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作者：
Liang-juan Zhang
利用汉密尔顿原理建立了任意变长度柔性提升系统纵向振动的控制方程和能量方程，并利用Galerkin方法将无穷维偏微分方程组截断为有限维常微分方程组，仿真结果表明，连续系统法和能量法能较好地描述电梯系统的纵向运动，并能较好地反映电梯系统的纵向运动特性另外，在高速电梯上行运行过程中，会出现不希望有的非平稳纵向振动。
The governing equation and energy equation of longitudinal vibration of flexible hoisting system with arbitrarily varying length were developed using the Hamilton's principle.The Galerkin's method was used to truncate the infinite-dimensional partial differential equations into a set of finite-dimensional ordinary differential equations with time dependent coefficients,which can be solved with numerical methods.The motions of elevator systems were illustrated to evaluate the proposed model.The results of simulation show that the methods of continuous system and energetics can represent the longitudinal vibration of flexible hoisting system.Additionally,the undesired nonstationary longitudinal vibration is revealed when the high-speed elevator traveling upwards.