Dynamics of an oscillator with a quadratic nonlinearity in the expression of the elastic force loaded with a step pulse
Journal: Bulletin of the National Technical University «KhPI» Series Dynamics and Strength of Machines
Year: 2021

The unsteady oscillations of an oscillator with a quadratic nonlinearity in the expression of the elastic force under the action of an instantaneously applied constant force are described. The analytical solution of a second-order nonlinear differential equation is expressed in terms of periodic Jacobi elliptic functions. It is shown that the dynamic coefficient of a nonlinear system depends on the value of the instantaneously applied force and the direction of its action, since the elasticity c