Statistical approach to optimizing fastening forces in assembly of aircraft structures

This article addresses the optimization of the assembly process for deformable components using fasteners in aerospace engineering. The focus is on formulating the contact problem that describes the assembly of parts while considering random variations in assembly process. The proposed method is based on mathematical modeling and the Monte Carlo approach to evaluate the required fastening forces that ensure the resulting gaps are reduced to specified values with a given probability. A practical example analyzed is the process of attaching reinforcing pads to an aircraft wing. The results of testing various statistical estimates of forces enable the selection of an optimal set of values, thereby enhancing the quality of assembly and increasing the durability of the structure.