Under complex and multiple external loads, the coupled vibrations of joint structures in large industrial equipments were analysed. Two schematic nonlinear dynamic models with multi DOFs were developed to study the dynamics mechanism of bolted flange joints containing shear pins (cone) subjected to the combined action of bending moment, shearing force and torsion moment. The vibration behavior and coupling relationship under the combined loading were discussed. On this basis, the effects of cone angle and assembly clearance on the maximal axial tensile force on the bolts were investigated to give the most appropriate angle design region and the corresponding assembly clearance range. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.