Purpose <p>In order to solve the factors affecting the modeling of seismic shaking table array system, the transfer function of two-array system under three-parameter and multi-parameter control is studied, and the nonlinear characteristics of the system are considered.</p> Methods <p>In-depth modeling analysis was performed by using MATLAB/Simulink software.</p> Results <p>The results show that the peak value decreases and the notch increases with the damping ratio increasing, and the interaction effect of G₁₁ and G₂₂ decreases with the damping ratio increasing. In addition, the increase of the mass and natural frequency of the specimen not only leads to the increase of the peak value, but also the decrease of the notch wave, and the interaction effect of G₁₁ and G₂₂ becomes more obvious.</p> Conclusion <p>These results provide important theoretical support for the optimization of the shaking table array system in order to improve its effectiveness in seismic simulation applications.</p>