一般起升机构吊重轨迹偏差分析

齐朝晖; 宋慧涛

doi:10.3879/j.issn.1000-0887.2014.04.010

一般起升机构吊重轨迹偏差分析

doi: 10.3879/j.issn.1000-0887.2014.04.010

大连理工大学运载工程与力学学部; 工业装备结构分析国家重点实验室, 辽宁大连 116024

基金项目: 国家自然科学基金（10972044）

详细信息

作者简介:
齐朝晖（1964—），男，辽宁大连人，教授，博士生导师(通讯作者. E-mail: zhaohuiq@dlut.edu.cn)

中图分类号: TH11
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出版历程
- 收稿日期: 2013-10-23
- 修回日期: 2014-02-26
- 刊出日期: 2014-04-15

Deflection Analysis of Load Trajectories for General Hoisting Mechanisms

State Key Laboratory of Structural Analysis for Industrial Equipment;Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China(10972044)

摘要

摘要: 提出了一种分析一般起升机构吊重轨迹偏差的系统化方法.通过系统平衡方程与协调条件建立了系统位移、钢丝绳拉力等参数所满足的一阶微分方程.详细讨论了方程中涉及的各种变量的性质和计算方法，得到了空间滑轮公切点位移和速度、钢丝绳拉力方向及其变化率，给出了卷筒参数协调条件、系统绳长协调条件，并提出了一种求解空间滑轮角速度的方法.滑轮的转动方向决定了其两端拉力关系，然而微分方程求解过程中可逐步求得各滑轮角速度，所以针对双联卷筒单分支缠绕的系统，该方法解决了系统中有滑轮转动方向难以确定的问题.这些问题的解决方法具有一定的普适性，对于一般起升机构的设计和分析有一定的参考价值.
- 起升机构 /
- 吊重轨迹 /
- 滑轮公切线 /
- 滑轮角速度
Abstract: A systematic method for analyzing load trajectory deflections of general hoisting mechanisms was presented. In this method, the first order differential equations for generalized degrees of freedom and wire rope tensions were established based on the governing equations of equilibrium and compatibility conditions. Properties and formulations of the variables involved in these equations were studied in detail, in which the displacements and velocities of tangent points between pulleys and the tension directions of ropes as well as the change rates of tension directions were derived. The compatibility condition for drum parameters, as well as for rope lengths in the system was provided. A method to solve the angular speeds of spatial pulleys was proposed. In the process of solving the differential equations, the pulley’s angular speed which determined the relation of tensions at both ends of the pulley, was derived at each step. The systematic method is applicable to hoisting mechanisms with single reeving branches, and solves the difficult problem of determining the rotating directions of pulleys. To a large extent the proposed method is universal and makes a reference for designing and analyzing general hoisting mechanisms.
- hoisting mechanism /
- load trajectory /
- common tangent between pulleys /
- angular speed of pulley

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参考文献(15)

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