An efficient method for structural coupling of mechanical systems by using frequency response functions

In many mechanical systems, it is very common to bring together different structural elements or subsystems produced by different producers and create a whole coupled system. It is often not possible to manufacture an entire mechanical system in one place. Although the dynamic properties of each of the subsystems produced by different manufacturers are known, it is a matter that should be known and studied how the dynamic behavior of the new system will be after the creation of a new system by combining these subsystems. In this study, a method for structural coupling of mechanical systems is presented in order to contribute to the solution of structural dynamic problems. It is based on Sherman-Morrison formula known for solving mathematical inverse problems of modified matrices. The method is very useful and practical for real mechanical engineering applications due to only the frequency response functions belong to the coupling coordinates of the subsystems are used. The main highlight of the presented method is there is no need a matrix inversion for calculations.

Automated summary

In many mechanical systems, different structural elements or subsystems produced by different producers are often combined to create a whole coupled system. This study presents a method for structural coupling of mechanical systems based on the Sherman-Morrison formula, which is known for solving mathematical inverse problems of modified matrices. The method is practical for real mechanical engineering applications as it only uses the frequency response functions of the coupling coordinates of the subsystems, eliminating the need for matrix inversion in calculations.