Abstract
The dynamic response of crucial components often depends upon the dynamic behavior of bolted connections. As is usually the case, the accurate modeling of structures with many mechanical joints remains a challenge work. The nonlinear behavior included in assembled structures strongly depends on the interface properties. In this paper, an analytical model of the simple bolted joint beam in tangential direction is first proposed for transient excitation, based on phenomenological model. The fourth-order Runge-Kutta method is employed to calculate the transient response, where the dynamic response of the nonlinear stiffness on system is also investigated. The simulation results show that natural frequency has a certain dependence on cubic stiffness term and cubic stiffness is more suitable for modeling of nonlinear system of a wider frequency range. Thereby, a series Iwan model containing cubic stiffness term is established to describe nonlinear behaviors of bolted joint beams in shear vibration. The amplitude-frequency curves show that the influence of interaction between nonlinear stiffness and damping mechanism on dynamic response characteristics is more obvious. Finally, a new type of nonlinear model is applied into finite element analysis. The results of proposed transient excitation experiment are discussed qualitatively, indicating that nonlinear effects observed agree with the numerical simulation results.
Highlights
The mechanical behavior of the bolted joint structure under vibration has long been characterized and studied in the context of engineering machinery, including modeling and experiments methods
The results reveal that, comparing with low frequency region, cubic stiffness term has more influence on dynamic response characteristics or becomes more sensitive to nonlinear system at some extent, in relative higher frequency region
An analytical model of simple bolted joint beam in tangential direction is developed under transient excitation
Summary
The mechanical behavior of the bolted joint structure under vibration has long been characterized and studied in the context of engineering machinery, including modeling and experiments methods. The nonlinear characteristics of bolted joint interface are of great interest because of their influence on structural vibration, which can even be detrimental to overall dynamics. Pratt and Pardoen [5] proposed nonlinear finite element models to predict the load-elongation behavior of conical-head bolted lap joints, and simulation results were compared with test data. Shuguo et al [7] studied the dynamic effects of bolted and spline joints in the aeroengine rotor using finite element method and evaluated the influence of typical parameters on critical speed and vibration modes. Interface modeling approaches are studied by many researchers; for example, Miller and Quinn [8] used a series-series Iwan model together with an elastic chain to carry out the simulation of frictional damping for bolted joint structure, Shock and Vibration which significantly reduced the computational requirements. There have been already many accepted modeling approaches, more detailed descriptions for the structure with bolted joint in modeling are still inadequate due to nonlinear joint properties and the lack of theoretical analytical relationship [11]
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