<p>The ACC/DEC method to schedule the feedrate is widely used in 3-axis CNC machining due to its simplicity and effectiveness. However, for most of the existing methods, the chord error is computed by an approximate way, which can not strictly control the chord error. In this paper, the feedrate scheduling for a NURBS toolpath is considered and it is transformed to construct an information matrix, with the help of which it can be found that the key issue of feedrate scheduling is to update the matrix by three kinds of basic operation. To control the chord error strictly, it is proven that the calculation of chord error can be transformed into finding the real roots of algebraic equations. Then, the feasibility of the feedrate can be guaranteed by adjusting the information matrix. To improve the efficiency of the machining, several optimal strategies are proposed. The simulation results show that the proposed method can strictly control the chord error with relatively shorter machining time compared with other ACC/DEC methods.</p>

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A Feedrate Scheduling Method with Confined Error and Optimization Strategies for 3-Axis CNC Machining

  • Shitao He,
  • Liyong Shen,
  • Chunming Yuan,
  • Hongyu Ma

摘要

The ACC/DEC method to schedule the feedrate is widely used in 3-axis CNC machining due to its simplicity and effectiveness. However, for most of the existing methods, the chord error is computed by an approximate way, which can not strictly control the chord error. In this paper, the feedrate scheduling for a NURBS toolpath is considered and it is transformed to construct an information matrix, with the help of which it can be found that the key issue of feedrate scheduling is to update the matrix by three kinds of basic operation. To control the chord error strictly, it is proven that the calculation of chord error can be transformed into finding the real roots of algebraic equations. Then, the feasibility of the feedrate can be guaranteed by adjusting the information matrix. To improve the efficiency of the machining, several optimal strategies are proposed. The simulation results show that the proposed method can strictly control the chord error with relatively shorter machining time compared with other ACC/DEC methods.