Extension of a multi-trigonometric-function-based axis motion plan for RTCP tests aimed at five-axis machine tool dynamic control accuracy

The dynamic tracking error due to servo dynamic performance deficiency is a main cause of processing inaccuracy during precise high-speed five-axis machining. The rotation tool center point (RTCP) test is usually considered a valid test for dynamic control accuracy, and the key to determining the capability of the RTCP test is axis motion planning in the test process. In previous studies, axis motion planning, based on multiple trigonometric functions, has been proposed as a typical and valid method for axis motion planning for RTCP tests, which is included in the latest GB/T Chinese national recommended standard. In this paper, the multiple-trigonometric-function-based axis motion planning method is analyzed and extended. According to the calculation and analysis of the effects of trigonometric parameters on axis motions, the effects of several trigonometric parameter combinations on the feasibility of RTCP test planning are analyzed and summarized, and feasible trigonometric parameter combinations for RTCP test planning are selected. Using the simulation, the effects of different trigonometric parameter collections on the dynamic control accuracy test capability are summarized, and valid trigonometric parameter combinations are selected to guide the design of new tests. According to simulations and experiments, the tests created by the selected parameter combinations can be verified to have advantages in the dynamic control accuracy test capability. The analysis and summary in this paper can provide a guide for RTCP test axis motion planning aimed at dynamic control accuracy.