Abstract
A method combining the Newton-Raphson iteration process with the multi-harmonic balance method (MHBM) is proposed to analyze the steady-state dynamic response of the bolted beam system. The modified Iwan model is used to describe the nonlinear behaviors of the joint interfaces, and applied to construct the dynamical governing equations of a vibration system. The proposed MHBM is used to calculate the frequency response function (FRF) of a lap-type bolted beam with the nonlinear behaviors of joint interface. The simulating results are verified by a comparison with numerical integration solution, and the effects of nonlinear joint stiffness parameter are also investigated. The results show that the solutions obtained by the proposed harmonic balance method agree well with the direct numerical integration solution. The FRF can exhibit the effect of nonlinear softening stiffness and nonlinear damping of joint interface.
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