oscillatory systems

INVESTIGATION OF OSCILLATIONS IN A SYSTEM WITH NONLINEAR ELASTIC CHARACTERISTICS

Abstract. Goal of the work is to apply periodic Ateb-functions to investigate dynamic processes of strongly nonlinear systems with a finite number of degrees of freedom. Significance. Practically all problems in mechanics and engineering related to system oscillations, when strictly formulated, are nonlinear, as they are mathematically described by nonlinear differential equations. This often poses significant challenges in studying their behaviour, as finding a solution in exact form can be difficult.