基于MATLAB的双折线式多层缠绕卷筒的受力分析研究

Force Analysis of Lebus Drum Wound by Multi-layer Wire Rope Based on MATLAB

在设计双折线式卷筒的筒体时,需要确定多层缠绕钢丝绳作用于卷筒筒体的压力,由于外层钢丝绳的缠绕会导致内层钢丝绳张力衰减,钢丝绳作用于卷筒筒的压力并不是随着钢丝绳缠绕层数的增加而线性增加.基于钢丝绳在双折线式卷筒上作多层缠绕的实际排列情况,建立了钢丝绳多层缠绕系数方程,并在MATLAB中实现了多层缠绕系数和各层钢丝绳张力的求解.通过分析可知,多层缠绕系数随着钢丝绳缠绕层数的增加而增加,但增幅随缠绕层数的增加而减小,在缠绕层数超过特定值后,多层缠绕系数趋于常值.缠绕在卷筒上各层钢丝绳中,里层与外层钢丝绳张力较大,而中间层钢丝绳的张力较小,甚至会接近于零.

In the design of lebus drum,the stress acting on the lebus drum by multi-layer winding wire rope needed to be got,and due to the attenuation of inner layer wire rope tension caused by the outer layer wire rope winding,the stress does not increase proportionally with the increase of the wire rope layer twisting number.The multi-layer winding coefficient equation is established according to the actual wire rope arrangement on Lebus drums.MATLAB is employed to solve the equation and analyze the residual tension of each layer wire rope.It can be seen that the multi-layer winding coefficient increases as the layer number of wire rope increases,but the increasing amplitude decreases,so the multi-layer winding coefficient tends to be a constant in the end.The outer and inner layer wire rope remain a larger residual tension,however the middle layer wire rope tension is even close to zero.