title: On Free Oscillations of a Quadratic Nonlinear Oscillator
abstract: A free oscillations of a system with one degree of freedom, caused either by the initial deviation from the stable equilibrium position or by the initial velocity provided by the oscillator in this position was considered. Analytical solutions of the nonlinear Cauchy problem for a second-order differential equation were constructed. The solutions are expressed in terms of
journal: Ukrainian Journal of Mechanical Engineering and Materials Science