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曳引绳绕行运动动态模型
引用本文:张鹏,朱昌明,杨广全.曳引绳绕行运动动态模型[J].上海交通大学学报,2007,41(3):461-464.
作者姓名:张鹏  朱昌明  杨广全
作者单位:上海交通大学,机械与动力工程学院,上海,200240
摘    要:采用集中质量的方法,建立了一种新型的曳引绳绕行运动的动态模型,并通过Lagrange乘子的引入将曳引轮的运动作为约束条件施加在绳子上.提出了一种约束条件变换的判断方法,该方法能够动态地预测下一时刻的约束情况,并及时对约束方程进行相应的调整.仿真结果表明,该模型能够用于模拟和研究绳子在曳引轮上的局部动态行为.

关 键 词:绳子  曳引轮  Lagrange乘子  动态模拟
文章编号:1006-2467(2007)03-0461-04
修稿时间:2006-04-11

Dynamic Modeling of Moving the Rope on a Sheave
ZHANG Peng,ZHU Chang-ming,YANG Guang-quan.Dynamic Modeling of Moving the Rope on a Sheave[J].Journal of Shanghai Jiaotong University,2007,41(3):461-464.
Authors:ZHANG Peng  ZHU Chang-ming  YANG Guang-quan
Institution:School of Mechanical Eng. , Shanghai Jiaotong Univ. , Shanghai 200240, China
Abstract:The method of concentrate mass and Lagrange multipliers were used to build the dynamic model of moving the rope on a sheave.The movement of sheave is considered as the constraints to the rope.A new method,which can forecast the constraint conditions in the next time step and regenerate the constraint equations in time,was introduced to estimate the changes of constraint conditions.The results of simulation indicate that the model is capable of simulating and researching the local dynamic behaviors of moving the rope on a sheave.
Keywords:rope  sheave  Lagrange multiplier  dynamic simulation
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