Large deformation of longitudinal-torsional-lateral coupled effect of round balance rope in mine friction hoisting system
Large deformation of longitudinal-torsional-lateral coupled effect of round balance rope in mine friction hoisting system
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DOI：
10.1177/14613484231182657
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发表时间：
2023-06
期刊：
影响因子：
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通讯作者：
Ning Zhang;Guohua Cao;Zhencai Zhu;Weihong Peng
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文献类型：
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作者：
Ning Zhang;Guohua Cao;Zhencai Zhu;Weihong Peng
采用扭转变形空间梁和Costello理论建立了圆形平衡绳的力-扭-横耦合模型。基于库仑摩擦定律和横扭横耦合模型，建立了具有摩擦约束的圆平衡绳非线性耦合动力学模型。同时，为了节省计算时间，提出了时变多段不等长单元变换法（TMN ETM）。然后计算了耦合刚度系数为零时的自振频率和侧向响应。并与传统的求解方法进行了比较。结果表明，圆形平衡绳环中只有少数区域应力范数值较大，其余部位应力值较小。此外，还计算了平衡绳悬挂转子释放时平衡绳的动力响应。当静摩擦力转化为动摩擦力时，摩擦力矩和角加速度在切换瞬间发生突变，角加速度发生滑粘过渡。
Torsion deformable spatial beam and Costello theory are used to establish longitudinal-torsional-lateral coupled model of round balance rope. Based on Coulomb’s friction law and longitudinal-torsional-lateral coupled model, the nonlinear coupled dynamic model with friction constraint of round balance rope is established. Meanwhile, time-varying multi-segments non–equal-length element transformation method (TMN-ETM) is proposed to save computation time. Then, natural frequencies, lateral responses are calculated when the coupled stiffness coefficient is zero. And the calculations are compared with traditional solution method. The results show that only about few areas in the round balance rope loop have large stress norm value, while the rest parts have small stress values. Besides, dynamic responses of the balance rope with balance rope suspension rotor releasing are conducted. When the static friction is converted to dynamic friction, the friction torque and angle acceleration will be mutated at the switching instants, and slip-stick transition in angle acceleration occurs.