چكيده به لاتين
In analyzing and investigating vibrational systems, It is always very important to identify and describe nonlinear systems because of their unique complexities. It is clear that it is almost impossible to analyze a structure without precisely identifying the behavior of that structure. Therefore, for analyzing nonlinear systems and structures, having a method for describing and identifying its parameters has always been considered by engineers. Hilbert Transform is one of the best methods that engineers have always been interested in since the introduction of it as a method for identifying and describing nonlinear systems.
This method works efficiently in both time and frequency domains by forming an analytical signal to help identify system parameters. In this research, first, by expressing the theory of this transformation, its mathematical logic is explained.
Hereinafter, it is used in generating analytical signals and using analytical signal analysis methods (AMD) to identification of the instantaneous characteristics of the system from the dynamic response of the structure. To this end, this method is first implemented on examples with known properties, then for a real system with nonlinear behavior, it is studied. The nonlinear factor in this laboratory specimen is a local type caused by the frictional contact between the pin and the support. In addition, the strengths of the error reduction methods and the measures needed to improve the accuracy of this method are summarized and stated.
