A modeling method of bolt connections considering micro-slip characteristics is presented based on the improved Iwan model in this paper. Furthermore, the Chebyshev polynomials are used as the admissible displacement functions to study the bolted flange cylindrical shell’s vibration characteristics by the Sanders’ shell theory. It is worth noting that the mechanical model of bolted joints takes into account the nonlinear characteristics of micro-sliding motion between the connection interfaces and different tensile and compression stiffness. Moreover, to reproduce the micro-slip motion between the interfaces, we propose an improved Iwan model considering the spatial distribution characteristics of the contact pressure and the variable normal contact load. The effects of the flange geometry, preload of bolts, and excitation amplitude on the natural frequency and vibration response of the shell are investigated.

基于改进的Iwan模型，提出了一种考虑微滑动特性的螺栓连接建模方法。此外，使用切比雪夫多项式作为允许的位移函数，通过桑德斯壳理论研究螺栓法兰圆柱壳的振动特性。值得注意的是，螺栓连接的力学模型考虑了连接界面之间的微滑动运动以及不同的拉伸和压缩刚度的非线性特征。此外，为了重现界面之间的微滑动，我们提出了一种改进的Iwan模型，该模型考虑了接触压力和可变法向接触载荷的空间分布特征。法兰几何形状，螺栓的预紧力，