Equivalent Dynamic Modeling for the Relative Rotation of Bolted Joint Interface Using Valanis Model of Hysteresis

Dynamic modeling of the joint interface is critical to the performance analysis of bolt-jointed structures. In this work, an equivalent modeling method was presented for modeling the relative rotation of the joint interface in bolt-jointed beam structures. As the transverse vibration of the studied structure is closely related to the rotation of the joint, which is different from previous studies that focused on the tangential slip of the joint interface, the Valanis model is used to model the relative rotation of the joint. In addition, the shear deformation and rotational inertia of the beam were considered in the modeling, using a finite element method that employed Timoshenko beam elements. The parameters of the Valanis model were determined by fitting a series of hysteresis loops obtained from the transient nonlinear analysis of a 3D FEM model. The results show that the proposed equivalent modeling method can accurately simulate the dynamic response and dissipation of the jointed beam structure with a significantly high computational efficiency. The maximum errors of the dynamic response amplitude and the energy dissipation are 5.5% and 8.3%.

Automated summary

This paper presents an equivalent modeling method for modeling the relative rotation of the joint interface in bolt-jointed beam structures. The Valanis model is used to model the relative rotation, considering the shear deformation and rotational inertia of the beam. A finite element method with Timoshenko beam elements is employed for the modeling. The parameters of the Valanis model are determined by fitting hysteresis loops obtained from transient nonlinear analysis. The proposed equivalent modeling method accurately simulates the dynamic response and dissipation of the jointed beam structure with high computational efficiency, with maximum errors of 5.5% and 8.3% for the dynamic response amplitude and energy dissipation.