CAJ | 학술논문

针对数控加工中常用大量直线段逼近平面自由曲线,刀具路径在误差、光顺性、程序数量等方面存在的问题,给出了基于粒子群优化算法的双圆弧逼近平面自由曲线方法。建立了优化的数学模型,并通过最大逼近误差和最大圆弧长度两个变量构造了适应度函数。使用粒子群优化算法确定双圆弧的节点,以达到逼近误差最小、圆弧数量最少的目标,进而对整条曲线的逼近进行优化。进行了试验设计,并与其他方法进行了比较,研究结果证实了方法的有效性与优越性。
침대수공가공중상용대량직선단핍근평면자유곡선,도구로경재오차、광순성、정서수량등방면존재적문제,급출료기우입자군우화산법적쌍원호핍근평면자유곡선방법。건립료우화적수학모형,병통과최대핍근오차화최대원호장도량개변량구조료괄응도함수。사용입자군우화산법학정쌍원호적절점,이체도핍근오차최소、원호수량최소적목표,진이대정조곡선적핍근진행우화。진행료시험설계,병여기타방법진행료비교,연구결과증실료방법적유효성여우월성。
In NC machining,the 2-D freeform curves are commonly approximated by a large number of line segments,and there are shortcomings in some aspects,such as errors,smoothness,program amounts,etc.To solve this problem,biarc approximation based on particle swarm optimization was proposed.In order to get the least arcs with the least approximation errors,a fitness function was established through the maximal approximation error and the maximal arc length,and the particle swarm optimization was used to find nodes of the biarcs.The test results show the availability and superiority of this method.