基于改进二分法的线导系统导线布放运动研究

Research on Motion of Wire Laying in Wire Guide System Based on Improved Dichotomy

摘要:

分析了线导系统放线装置中导线布放运动的动能、势能、流体力，基于改进的变质量系统的Hamilton原理建立了放线装置中导线布放运动动力学模型；对一维非线性方程的传统解法二分法进行改进，使其可用于高维非线性方程组；将改进的二分法运用于导线布放动力学方程，解决了Newton迭代法出现的雅克比矩阵计算量大且奇异的问题，并且相对局部收敛的Newton迭代法，改进的二分法具有全局收敛性；采用MATLAB仿真软件对放线装置中导线布放运动进行数值仿真；仿真结果表明导线沿着绕线芯轴方向的布放速度大小对导线的布放运动影响较大，并且该速度越大，导线完成一圈布放运动时放线装置中导线长度和质量变化越小。

Abstract:

First the kinetic energy,potential energy and fluid force of the motion of wire in the wire guide system are discussed;And the dynamic model is established based on the improved Hamilton principle of the variable mass system.Then a kind of dichotomy being improved from the traditional dichotomy used in the one-dimensional nonlinear is designed for the dynamic model of wire.This improve dichotomy will not only solve the problem of large and singularity of Jacobi matrix in the Newton iterative method but also own the global convergence.At last the simulation results from MATLAB show that the greater the speed along the winding core,the less the change of the wire’s length and quality when a circle of wires are finished.