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电梯柔性提升系统横向-纵向耦合动力学建模与仿真

Modeling and simulation of lateral-longitudinal coupling dynamics of flexible elevator hoisting system

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【作者】 殷铭豪吴晓曹丹田健康徐家根

【Author】 Yin Minghao;Wu Xiao;Cao Dan;Tian Jiankang;Xu Jiagen;

【机构】 西南交通大学机械工程学院轨道交通运维技术与装备四川省重点实验室

【摘要】 文中针对电梯柔性提升系统速度和行程等不断增加、外界激励源复杂等问题,基于能量法和Hamliton原理,考虑提升系统底部平衡绳以及平衡绳张力的影响,建立系统横向-纵向耦合振动控制方程,使用Galerkin法将振动控制方程离散为常微分方程。以高速曳引电梯的结构参数与运动状态参数作为常微分方程的输入条件,分析平衡绳与导轨典型不平顺对系统振动的影响。结果表明,平衡绳能抑制系统的横向振动,上行横向振动加速度响应幅值降低20%,下行降低5%,对系统的纵向振动加速度响应影响较大,系统启动时下行加速度响应幅值达0.91m/s2,随后快速衰减,振动位移响应由18 mm降低为4~7 mm,系统上行时的振动响应比系统下行时的振动响应大。导轨不平顺对系统横向振动响应影响较大,在不平顺处出现横向振动响应突变,对纵向振动无影响。该研究结果为电梯柔性提升系统的振动控制与振动特性的进一步研究提供一定参考。

【Abstract】 Considering the increasing speed and travel of elevator flexible hoisting system and the complexity of external excitation sources, based on the energy method and Hamliton principle, combined with the influence of the balance rope at the bottom of the hoisting system and the tension of the balance rope, a lateral-longitudinal coupling vibration control equation was established, and the vibration control equation was discretized into an ordinary differential equation by Galerkin method. Taking the structural parameters and motion state parameters of high-speed traction elevator as the input conditions of ordinary differential equation, the influence of typical irregularity of balance rope and guide rail on system vibration is analyzed. Results show that the balance rope can restrain the lateral vibration of the system, and the amplitude of the upgoing lateral vibration acceleration decreases by 20% and down-going vibration acceleration decreases by 5%, which has a great influence on the longitudinal vibration acceleration response of the system. When the system starts up, the amplitude of the down-going acceleration response reaches 0.91 m/s2, and then decays rapidly, and the vibration displacement response decreases from 18 mm to 4-7 mm. Compared with the down-going vibration response, the up-going vibration response of the system is larger. The irregularity of the guide rail has a great influence on the lateral vibration response of the system, and there is a sudden change in the lateral vibration response at the irregularity, which has no influence on the longitudinal vibration. The research results have certain reference value for further research on vibration control and vibration characteristics of elevator flexible hoisting system.

【基金】 国家自然科学基金(51705436);四川省科技计划资助(2022YFG0245)
  • 【文献出处】 起重运输机械 ,Hoisting and Conveying Machinery , 编辑部邮箱 ,2022年24期
  • 【分类号】TU857
  • 【下载频次】8
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