AUTOMATIC ERROR CORRECTION IN MEASUREMENTS ON COORDINATE MEASURING MACHINES

Abstract

Coordinate Measuring Machines (CMMs) play a crucial role in modern manufacturing and quality control, providing highprecision measurements of complex parts’ geometric parameters. However, even the most advanced CMMs are subject to various factors that lead to measurement errors. This article is dedicated to the development and analysis of methods for automatic error correction in CMM measurements, which significantly improve the accuracy of results without the need for physical modification of existing equipment. The paper presents a comprehensive mathematical model of the CMM measurement process, which takes into account geometric, kinematic, and thermal sources of errors. This model allows for a detailed description of the interaction between various CMM components and their impact on measurement accuracy. Based on this model, a multi-level automatic correction algorithm has been developed, combining methods of kinematic modeling and statistical analysis to detect and compensate for different types of errors. The algorithm considers the specifics of CMM operation in various modes and operating conditions, ensuring its versatility and effectiveness. A theoretical justification of the proposed method has been conducted, including proof of its convergence and estimation of convergence speed for different CMM configurations and types of measured parts. This theoretical foundation is based on mathematical methods and ensures the reliability and predictability of the algorithm’s performance under various conditions. It is shown that the application of automatic correction allows for a reduction in total measurement error by 20–30% compared to traditional CMM calibration methods. This significant improvement in accuracy opens up new possibilities for using CMMs in high-precision manufacturing processes. The results of the research have broad practical significance for industries where CMMs are used, including aerospace, automotive, precision component manufacturing, and medical equipment production. In each of these industries, increased measurement accuracy can lead to substantial improvements in product quality, reduction in defect rates, and optimization of manufacturing processes. The proposed method of automatic error correction in CMM measurements can become the basis for developing a new generation of high-precision metrological systems that provide reliable results in production conditions. This opens up prospects for creating more advanced CMMs that can meet the growing demands for accuracy in modern industry.