Objective To address the issue of nonlinear stiffness changes in isolation systems with limiters under impact excitation, an impact dynamics theoretical model and its anti-impact performance research are conducted.

Methods First, using the idea of segmented linear equivalence, an impact dynamics theoretical model of a bidirectional limited single-layer vibration isolation system with a segmented linear stiffness limiter is established. The theoretical model is then solved using the analytical method and compared with the impact response of the finite element method under different impact conditions.

Results The analytical solution of the dynamic theoretical model is highly consistent with the finite element numerical solution under different impact conditions.

Conclusion Through comparative analysis, the accuracy of the impact dynamics theoretical model and solution method of the bidirectional limited single-layer vibration isolation system with segmented linear stiffness limiter is verified, providing a theoretical basis for research on the working principle and performance characteristics of vibration isolation systems with limiters.