Dynamic analysis for nonlinear behaviors of joint interface

Mechanics modeling for joints is a challenging problem for the complex multi-scale, multi-physics behaviors of contact interface, which will induce additional flexibility and damping to the assembled structure. In this paper, Iwan model was applied to describe the nonlinear softening stiffness and hysteresis behaviors of joint interface. The dynamic governing equations of vibration system are conducted with the consideration of these typical nonlinear behaviors. The multi-harmonic balance method was then used to analyze the steady-state dynamic response under the oscillatory loading in time-frequency domain. The proposed method was compared with the numerical integration solution, and the effect of the oscillatory frequency was also studied. The results show that the proposed harmonic balance method can solve the steady-state response more efficiently and agrees well with the numerical integration solution. With the increase of the oscillatory frequency, the maximum of displacement become less, inducing less area of hysteresis curve.