Summary
Uncovering the equations of motion and parameter values for vibrating structures is a significant focus in science, engineering, and technology. This study introduces a novel data-driven approach centered on the system's mechanical energy to identify governing dynamics by examining the forces influencing a single degree of freedom Our methodology comprises two stages: model-dissipative and model-stiffness identification. In the initial phase, we develop an approach to directly identify the total energy from kinetic energy, focusing on parameter system identification derived from dissipative forces. In the second phase, once potential energy is calculated, we calculate conservative forces. Subsequently, stiffness parameters are determined by conducting a curve fitting analysis that correlates the conservative force with displacement. The derived governing equations encompass both nonlinear damping and stiffness terms. The proposed Energy-based Dual-Phase Dynamics Identification (EDDI) method is employed to analyze simulated and measured responses of nonlinear single-degree-of-freedom (SDOF) systems.
