Considerations on the nonlinearity grade of the nonlinear mechanical elastic systems

Abstract

The article is taking into consideration a nonlinear model for the damping, where the damping coefficient has a polynomial variation function of the velocity. The differential equation of the movements of the non-linear 1DOF system can be solved only using numerical methods. The study gives the physical and mathematical modeling of the dynamics of 1DOF mechanical systems. It also puts forward two quantitative indexes of nonlinearity (the nonlinearity index of spectral amplitudes, the nonlinearity index of spectral power) in order to indicate how big is the nonlinearity grade of the system.