Nonlinear Dynamic Behavior of Longitudinal-Torsional-Lateral Round Balance Rope Combined With Hoisting Rope in Friction Hoisting System
Nonlinear Dynamic Behavior of Longitudinal-Torsional-Lateral Round Balance Rope Combined With Hoisting Rope in Friction Hoisting System
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DOI：
10.1007/s42417-023-00982-w
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发表时间：
2023-05
期刊：
影响因子：
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通讯作者：
Ning Zhang;Guohua Cao;Zhenhua Zhu;Weihong Peng
中科院分区：
文献类型：
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作者：
Ning Zhang;Guohua Cao;Zhenhua Zhu;Weihong Peng
目的矿井摩擦提升系统主要由刚体、柔性张紧提升绳和柔性低张力平衡绳组成。为了揭示超公里深层摩擦提升系统中重载提升钢丝绳和弯曲、扭曲时变圆平衡钢丝绳的复杂耦合动力学特性，采用边界约束方程建立刚体、提升钢丝绳和圆平衡钢丝绳的耦合关系。采用变长度有限元方法对牵引滑轮两侧提升钢丝绳进行了建模。通过绝对节点坐标表示法、方向余弦矩阵、Costello理论和库仑摩擦定律，建立了圆形平衡绳的摩擦约束动力学模型。采用时变多段非等长单元，减少了圆平衡绳的单元数。结果研究了提升钢丝绳与圆形平衡钢丝绳联合作用下，钢丝绳发生暂态共振时的非平稳响应。结果表明，具有摩擦约束边界的圆形平衡绳在给定条件下发生了严重的面内和离面大位移变形。结论引起圆平衡绳面内和离面方向大位移振动的主要原因是提升钢丝绳持续时间长的瞬时纵向共振，柔性低张力圆平衡绳的轴向应变与弯曲和扭转曲率的高度耦合，圆平衡绳的倍激频率和纵向固有频率的交叉，以及圆平衡绳内部的扭力。
PurposeMine friction hoisting system mainly consists of rigid body, flexible tensioned hoisting ropes and flexible low-tension balance rope. This study is carried out to reveal the complex coupling dynamic characteristics of hoisting rope with heavy load as well as round balance rope with time-varying bending and torsional curvature in ultra-kilometer deep friction hoisting system.MethodsCoupling relationships among rigid body, hoisting ropes and round balance rope are established through boundary constraint equation. Hoisting ropes on both sides of traction sheave are modeled based on variable-length finite element method. Dynamic model with friction constraint of round balance rope is established through absolute nodal coordinate formulation, the directional cosine matrix, Costello theory along with Coulomb’s friction law. Time-varying multi-segments non-equal-length element is used so as to reduce the element number of round balance rope. Then, the extended KDP generalized-α method is used to iteratively solve the nonlinear differential algebraic equations.ResultsNon-stationary responses of round balance rope combined with hoisting ropes are investigated when transient resonance occurs in hoisting ropes. The results display that the round balance rope with friction constraint boundary has undergone severe in-plane and out-of-plane large displacement and deformation under the given conditions in this paper.ConclusionThe main reasons that cause large displacement vibration of round balance rope in-plane and out-of-plane directions are long lasting time transient longitudinal resonance of hoisting ropes, high coupling of axial strain with bending and torsional curvature in flexible low-tension round balance rope, intersection between the doubling excitation frequency and longitudinal natural frequency of round balance rope, and twisting force inside round balance rope.