Mathematical model of the process for diagnosing defects in aircraft structure elements made of composite materials

The scientific article is the result of a study aimed at creating a mathematical model for diagnosing defects in aircraft structural elements made of composite materials. Its feature is an innovative approach to assessing the probability of defects and their characteristics, based on the analysis of the material properties and technical parameters of the structure. The developed model combines methods of statistics, mathematical modeling and data analysis, which provides more accurate and reliable results. The findings obtained from the study may be of great value in improving diagnostic and quality control methods in aircraft manufacturing and operation. This in turn helps to improve the safety and reliability of aircraft, which is one of the main priorities of the aviation industry. The use of mathematical modeling can significantly increase the efficiency of diagnostics and quality control, which in turn has a positive effect on the technical operation of aircraft as a whole. Comprehensive analysis of defects in aircraft composite structures is effective in improving detection accuracy and optimizing maintenance. In modern aviation, where safety and reliability are crucial, the use of mathematical modeling provides the opportunity not only to identify defects, but also to predict their further development, providing preventative measures. This approach also improves aircraft productivity by reducing maintenance and repair time, which can ultimately increase airline revenues. Standardization of diagnostic processes and the introduction of new technologies in the field of defect detection represent important directions for future research. However, it is also necessary to consider the cost-effectiveness and practical applicability of the developed models and methods.