卷扬机钢丝绳欧拉公式及欧拉衰减的研究

Theoretical Study of Euler’s Formula and Loss Elimination Effect on Rope Windings of Winch Drum

摘要: 本文对卷筒钢丝绳缠绕过程进行分析，多层缠绕钢丝绳卷筒的受力实际随钢丝绳缠绕位置不同而变化，具有时变特性。基于欧拉挠性体摩擦公式，将公式推导至多圈多层，建立更准确的多层缠绕卷筒受力计算模型，进行详细理论分析。对由于钢丝绳之间摩擦力，以及钢丝绳、筒体的变形所导致的绳圈卸压效应进行研究。当钢丝绳缠绕圈数增加时，先前绕上的钢丝绳圈的张力发生变化，有绳圈卸压效应，即欧拉衰减现象。并对表示绳圈卸压的张力系数，提出合理计算公式，便于应用。

Abstract: Rope and rope drum are important parts of winding machine and should be improved to enhance security issues. Theoretical analysis of drum dynamic force during the course of spooling into drums in multi-layer winding is introduced. By study and deduction of Euler’s formula, a more accurate method is introduced to study the multi-layer winding drum force. Analytical model of rope is studied to illustrate the loss elimination effect. Course of the rope load relieving is explained. And then the analytical equations for calculation and pragmatic numerical estimation of rope tensional coefficient are revealed.