Abstract:To study dynamic response characteristics of a multi-point winding hoisting system under the condition of discordance among wire ropes, a longitudinal vibration model for the multi-point hoisting system considering winding radius error of its drum was established. Rayleigh method was used to deal with the mass of the wire rope. The rope was equivalent to a viscoelastic body with a certain damping and stiffness varying with the rope’s length. The vibration equation of the system was built with Lagrange equation. Then the first order linear differential equation converted from the vibration equation was solved with the ode45 subroutine of MATLAB. The calculation results showed that for a tested hoisting system with the lifting height of 43m and the rope winding error of 1mm, the wire ropes' longitudinal vibration acceleration has four fluctuating stages within a range of 0-1.5m/s2, the final length difference and tension difference of hoisting ropes are 3.6mm and 657 Newton, respectively. The computing software was applied to do simulation and comparison. It was shown that the simulated rope’s hoisting velocity and acceleration versus time curves match those of the above calculation with MATLAB well; the dynamic tension differences among ropes reach 5% and 10% of the average tension with the rope length differences of 3.0mm and 4.2mm, respectively; the discordance among wire ropes caused by the drum’s winding radius error has a large influence on tension difference. The study results provided a theoretical basis and a reference for design of drum and control of discordance among wire ropes in multi-point winding hoisting systems.
吴水源1,2,龚宪生1,2,罗宇驰1,2,李晓光1,2. 缠绕式多点提升系统钢丝绳变形失谐动力学分析[J]. 振动与冲击, 2018, 37(2): 228-235.
WU Shui-yuan1,2,GONG Xian-sheng1,2,LUO Yu-chi1,2,LI Xiao-guang1,2. Dynamic analysis for a multi-point winding hoisting system with discordance among wire ropes. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(2): 228-235.
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