| The optimal measurement area is the key indicator for the high precision measurement of the machine tool on-machine measuring system.For different measurement objects,the machine tool on-machine measuring system has different optimal measurement areas in the entire measurement space.However,the existing research results lack the research on the optimal measurement area of machine tool on-machine measuring system for circular plane measurement.In order to improve the measurement accuracy of machine tool on-machine measuring system and achieve high efficiency measurement,taking the on-machine measuring system composed of Shenyang Machine Tool VMC850E vertical machining center and Renishaw probe as the research object,a new method of geometric error identification and modeling was proposed for CNC machine tools based on double ball-bar.The identification model was established of the relationship between the double ball-bar reading and the corresponding geometric error in each plane of the machine tool with the three-plane arc trajectory measurement method and the double ball-bar utilized to measure the error,and the GA-PSO algorithm was used to solve the fitting coefficients,and the geometric error identification was realized.The comprehensive error model of the machine tool on-machine measuring system was established,and the individual geometric error data was measured by Renishaw XL-80 laser interferometer,and each individual error was modeled by the regression modeling method based on the least square method,and then the actual comprehensive error prediction model was obtained.On this basis,the circular plane measurement error model was established for machine tool on-machine measuring system.The distribution law of circular plane measurement error in the designated measurement space was analyzed,and a beetle antennae search particle swarm optimization algorithm(BAS-PSO)was proposed to solve the theoretical target model of the optimal measurement area of the machine tool on-machine measuring system based on circle plane measurement.A comparison experiment of the optimization effect between the BAS-PSO algorithm and a variety of hybrid optimization algorithms was carried out.The experimental results show that the optimization speed and stability of the BAS-PSO algorithm are better than other algorithms,and it is more suitable for solving the optimal measurement area of circular plane measurement.The verification experiment of the identification and modeling results of laser interferometer and double ballbar was completed,and the results show that the proposed method of geometric error identification and modeling of CNC machine tools has high accuracy and effectiveness.The experiment of determining the optimal measurement area of the machine tool on-machine measuring system based on circular plane measurement was carried out,and the results were compared and analyzed with circular plane measurement simulation calculation results and algorithm optimization results.The experimental results show that the optimal measurement area overlap obtained by actual measurement,simulation calculation and algorithm optimization of the circular plane error,and the optimal area space determined is 356.061mm≤X≤365.061mm,-109.727mm≤Y≤-100.727mm,-263mm≤Z≤-253mm,the minimum value of the maximum error obtained by the measured in this area is 5.3μm,it was obtained by the simulation calculation of the circular plane measurement is 4.1μm,and it was obtained by the algorithm optimization is 8.8pm.The correctness and practicability of the proposed method was verified for determining the optimal measurement area of the machine tool on-machine measuring system for circular plane measurement. |