Oscillations of a quadratic-nonlinear oscillator caused by a pulsed voltage
Journal: Bulletin of the National Technical University «KhPI» Series Dynamics and Strength of Machines
Year: 2017

The mechanical oscillations of a nonlinear oscillator, which has a rebounding force proportional to the square of the strain of the spring, have been considered. The movement is caused either by a instantly applied force of a constant value or by a rectangular force pulse of the finite extent. Two variants of the analytic solution of the nonlinear Cauchy problem for a nonhomogeneous differential equation of second order have been constructed. In the first one, the displacement of the oscillator