T-shape rubber damper has nonlinearity in both type of construction and rubber material. The two-level nonlinear dynamic model with piecewise linear stiffness

damping and cubic stiffness is established. The equivalent stiffness and damping of the piecewise linear system are derived from the equivalent linearization method. The nonlinear frequency response functions of piecewise linear stiffness system and cubic stiffness system under sinusoidal sweep excitation of external load are simulated by harmonic balance method. The results show that lower excitation load can lead to gradual softening of structure type

while higher excitation load can lead to dynamic softening of rubber material. Through the transfer characteristic test of T-shape rubber damper system

it is verified that T-shape rubber damper has the nonlinear characteristics of asymptotic stiffness and asymptotic damping. The correctness of the model is verified by the comparison between the calculation results and the experimental results of sinusoidal sweep excitation of base displacement. From the perspective of aerospace engineering application

the method of precompression design for large overload and strong vibration environment is proposed.