AN IMPROVED MULTI-HARMONIC BALANCE METHOD FOR NONLINEAR DYNAMIC ANALYSIS FOR JOINT INTERFACE

摘要

Mechanics modeling for joints is a challenging problem for the complex multi-scale, multi-physics, nonlinear behaviors of contact interface of the assembled structure. In this paper, the dynamic governing equations of vibration system are conducted with considering the nonlinear stiffness and damping of the joint interface. An improved MHBM (multi-harmonic balance method, MHBM) is then used to analyze the steady-state dynamic response under the periodic loading in time-frequency domain. The proposed method is verified by a comparison with the direct numerical integration solution, and the effect of the nonlinear parameter and periodic exciting frequency is also investigated. The results show that the solutions solved by the proposed harmonic balance method agree well with the direct numerical integration solution. With the increase of the nonlinear parameter, the amplitude of the steady-state response will become smaller, and larger exciting frequency will also induce smaller amplitude of displacement and less area of hysteresis curve.