A generalized mechanical model with high-flexibility of viscoelastic damping materials and devices considering frequency and amplitude dependence effects

Owing to the complex mechanical properties influenced by excitation frequency and amplitude, the modeling of viscoelastic damping materials and devices faces the challenge of poor coordination among simplicity, accuracy, generality and flexibility. To address this issue, a nonlinear frequency–amplitude model was established by combining the proposed generalized complex stiffness model with the Berg friction model. The generalized complex stiffness model was proposed to characterize the frequency dependence, and the Berg friction model was employed to study the amplitude dependence. A dynamic analysis method was proposed based on a state space approach to realize a complete and accurate representation of the proposed mechanical model. Property tests of a viscoelastic damper and viscoelastic isolator were then conducted to study the dynamic mechanical performance under different excitation frequencies and amplitudes. Finally, the accuracy of the nonlinear frequency–amplitude model was validated using experimental data.