In this paper

a mechanical model of a single-degree-of-freedom elastic collision vibration system with gap is established

and the distribution law of periodic shock vibration of the system under the two-parameter plane is analyzed by multi-parameter co-simulation

and the dynamic characteristics and transition process of the system under simple harmonic excitation are simulated by using the four-order variable-step Runge-Kutta method. An electronic circuit equivalent to the mechanical collision system is designed by using electronic components such as resistors and integrated operational amplifiers

and the numerical simulation results of the system under different parameters are verified. The results show that the results obtained by equivalent circuit simulation are consistent with the numerical simulation results

and compared with numerical simulation

the equivalent circuit simulation can quickly realize dynamic parameter adjustment and conversion analysis under different modes

which provides a more convenient research method for the study of nonlinear dynamics.