About Non-Autonomous Vibrations of Mechanical Systems

Abstract

Non-linear vibrations of mechanical systems are described by differential equations of the second order, which are generally written .. . x f ( x, x,t )  0 . In this work we study non-autonomous vibrations of mechanical systems with mathematical models .. . x f ( x, x,t )  0 for which we determine exact analytical solutions converting them into Riccati special equations and then using substitutions of functions in differential equations with separable variables or linear equations with variable coefficients.