极坐标下逐点比较法的直线插补.pdf

2001. 8 25 在旋臂式结构的机械加工装置中采用极坐标图形插补具有很多优点结合旋臂式数 切割机床, 采用逐点比较 法的原理, 对极坐标系统下的直线插补理论及其算法做了详细的探讨, 并给出了递推公式和程序框图还对如何采用 MCS 51 单片机编程实现作了简单介绍 : :TP27 : B : 1000 4327( 2001) 08 0025 03 Theory of point by point compared linear interpolation in polar coordinates system Li Yong, Fu Xiaoli, Shang Huichao Abstract There are many advantages to ado t olar coordinates system inter olation in swing structural machines.According to the com- aring oint by oint inter olation rinci le and linking with the numerical controlled swing cutting machine, the linear inter olation theo- ries in olar coordinates and its algorithms are discussed in detail in the a er, aswell as the recurrence formula and flowchart are raised. In addition , the realizing of the flowchart in MCS 51 single chi com uter are briefly introduced in the a er. Key words: olar coordinate system Comparing point by point interpolation Linear interpolation , ( , ) 2 2 : x = cos, y = sin: 1. cos= cos+ x ( 1) 2 2 1 1 sin= sin+ y ( 2) 2 2 1 1 ( 1) ( 2) : = ( cos+ x ) 2+ ( sin+ y ) 2 2 1 1 1 1 cos+ x cos= 1 1 2 1