Analysis of technical systems working under stress

Technical systems, which form the basis of modern technology and are used in many different fields, have a very important field of study because they are structures where different components come together and are designed to achieve a specific purpose and fulfill their functions. This study is concerned with calculating the reliability of technical systems operating under stress. Systems in ideal operating environments can operate as planned for the average specified time. However, this average may decrease due to various factors such as aging, environmental degradation, or working conditions. The first part of the study is devoted to order statistics, which is an important material in reliability calculations. This section focuses on how to perform arbitrary deformation of the distribution function. The basic context here is that all distributions derive from the distribution function of the constant. The second part examines how the stress affecting the system will be placed on the structure. This analysis is carried out in three basic ways in the study. First, the stress effect is adapted to the structure as a directional average instead of a conditional average. In the second, the stress factors were adapted to the structure as a decreasing function. Finally, they were adapted to the structure while accounting for the possibility of stress being differentiable. In all cases, numerical examples have been presented to demonstrate the suitability of the adapted structures.