球头铣刀动力学模型的Runge-Kutta仿真算法

Runge-Kutta Simulation Algorithm for Dynamic Model of the Ball End Milling Cutter

建立的球头铣刀动力学模型,要在计算机上进行仿真算法,必须进行离散的数值计算,在两点间等分区间,对节点采用离散值不断趋近真实值的数学方法,计算过程要始终保持较小误差,采用四阶显式Runge-Kutta算法,利用变步长数值积分算法求解球头铣刀振动微分方程,给出球头铣刀动力学微分方程仿真算法步骤及算例,Runge-Kutta算法精度为四位,精度较高,比较高适合机床动力学模型的仿真与分析。

If the model of ball end milling dynamics model can be simulate on the computer, that must be discrete numerical calculation, the continuity mathematical problems can be discretized by using equal partition to take a node, computational process can keep a low error, adopting a fourth-order explicit Runge Kutta algorithm, the variable step numerical integration algorithm is used to solve the ball end milling vibration differential equation, giving the algorithm simulation steps of the ball end milling dynamics differential equation and examples, the Runge Kutta algorithm accuracy is four, that is suitable for the simulation and analysis of dynamic model of machine tool.