高扬程全平衡卷扬式垂直升船机系统稳定性分析

摘要/Abstract

摘要： 通过理论分析，推导了一种使全平衡卷扬式垂直升船机系统保持稳定的临界吊点中心距的理论计算公式，依据该公式研究了高扬程对系统稳定性的影响规律。根据第二类拉格朗日方程建立了一个七自由度的卷扬式垂直升船机系统的动力学模型，该模型考虑了承船厢、提升钢丝绳、重力平衡重、卷扬机、同步轴以及承船厢中的水体。基于笛卡儿法则推导了临界吊点中心距的理论计算公式，分析了升船机扬程对升船机系统稳定性的影响规律。运用四阶变步长Runge-Kutta法对全平衡卷扬式垂直升船机系统进行动力学仿真，模拟出不同临界吊点中心距下系统各自由度的位移响应，通过响应的收敛性来判定系统的临界吊点中心距。将推导出的理论计算公式的计算结果与系统动力学仿真的计算结果进行对比，得出误差为9.02%, 从而验证了理论计算公式的准确性。该公式可以用来设计吊点中心距、提升钢丝绳刚度、卷扬机卷筒半径、同步轴刚度，判断高扬程全平衡卷扬式垂直升船机系统的稳定性。

关键词: 全平衡卷扬式垂直升船机, 稳定性, 临界吊点中心距, 笛卡儿法则, 高扬程

Abstract: A theoretical formulation for calculating critical distance of lifting points to make the fully balanced hoist vertical ship lift stable was presented through the theoretical analysis, with which the influence laws of the stability of the systems under higher lift were studied. Using the Lagrange equation of the second kind, a 7 DOF dynamics model of the ship lift was then established, including the ship chamber, the wire rope, the gravity counterweight, the hoist, the synchronous shaft, as well as the liquid in the ship chamber. Moreover, on the basis of the Descartes' rule, the theoretical formulation for calculating critical distance of lifting points maintained system's stability was proposed. The influence of the lifting exerted on the ship lift stability was studied. Besides, the dynamical characteristics of the fully balanced hoist vertical ship lift were analyzed numerically, applying fourth-order variable Runge-Kutta method, to obtain the various free degrees' displacements response. According to the convergence of displacement responses, the critical distance of lifting points may be assessed. Finally, the deviation between the calculations of the theoretical formula and that of the dynamical simulation with damped is as 9.02%, hence the rationality of the theoretical formulation was validated. It may be utilized to design the distance of lifting points, the wire rope's stiffness, the host's radius, as well as the synchronous shaft's stiffness, judging the stability of high-lift fully balanced hoist vertical ship lift.

Key words: fully balanced hoist vertical ship lift；stability；critical distance of lifting points； Descartes law, high-lift

中图分类号:

TH113

程熊豪1,2;石端伟1,2;李红享1;夏热2;张阳1;周吉1. 高扬程全平衡卷扬式垂直升船机系统稳定性分析[J]. 中国机械工程.

CHENG Xionghao1,2;SHI Duanwei1,2;LI Hongxiang1;XIA Re2;ZHANG Yang1;ZHOU Ji1. Stability Analysis of High-lift Fully Balanced Hoist Vertical Ship Lift Systems[J]. China Mechanical Engineering.

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