Stiffness modeling of single bolt connection in composite laminate
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摘要: 针对复合层压板单螺栓单搭接结构,提出一种更合理的四阶段刚度模型。该模型是在传统三阶段刚度分析模型的基础上,采用部分滑移理论对模型粘滞阶段的刚度进行了改进;同时考虑到层压板之间、垫片与层压板之间的异步滑动,增加了部分滑移阶段,给出新的刚度模型的理论分析过程和使用条件。为了验证改进模型的准确性,在ABAQUS中建立了对应的三维有限元模型,同时对比了层压板单独建模和均质建模的优缺点,表明单独建模更符合实际,更精确;最后通过分析螺栓孔间隙、扭矩、铺层厚度、宽径比、液态垫片及铺层角度对复合材料螺栓连接各阶段刚度的影响。结果表明:螺栓孔间隙会导致螺杆发生二次弯曲,从而降低其接头刚度;相对于宽径比的影响,铺层厚度对螺栓接头刚度的影响更显著;不同铺层角度对螺栓接头刚度的影响机制也不同。Abstract: Aiming at the single bolt and single lap connection structure in composite laminates, a more reasonable four-stage stiffness model was proposed. Based on the traditional three-stage stiffness analysis model, this model adopted partial slip theory to improve the stiffness of the viscous stage. In addition, by taking into account the asynchronous sliding between the laminates and between the gasket and the laminate, a partial slip phase was increased. The theoretical analysis process and using conditions of the new stiffness model were given. In the ABAQUS software, a corresponding three-dimensional finite element model was established to verify the accuracy of the improved model. At the same time, the comparison between the independent modeling of the laminate and the homogeneous modeling shows that the independent modeling was more realistic. Finally, the effects of bolt hole clearance, torque, layer thickness, width-to-diameter ratio, liquid gasket and layer angle on the stiffness of composite bolt connections at various stages were analyzed. The results show that the bolt hole gap causes the screw to be bent twice, which reduces the joint stiffness. Compared with the influence of the aspect ratio, the thickness of the ply has a more significant influence on the stiffness of the bolt joint. Different ply angles have different effects on the stiffness of bolt joints.
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图 1 含间隙扭矩复合层压板螺栓连接四阶段刚度模型
Figure 1. Four-stage stiffness model of composite laminate bolted connection with clearance torque
k1, k2, k3, k4—Stiffness of viscous stage, partial slip stage, intact slip stage, screw load transfer stage, respectively; δ1, δ2, δ3—Displacement at the end of the first three stages, respectively
表 1 HTA/6367复合材料单层板与均质层压板刚度性能
Table 1. Stiffness performance of HTA/6367 composite single-layer board and homogeneous laminate
E11/GPa E22/GPa E33/GPa G12/GPa G13/GPa G23/GPa ν12 ν13 ν23 140 10 10 5.2 5.2 3.9 0.3 0.3 0.5 Exx/GPa Eyy/GPa Ezz/GPa Gxy/GPa Gxz/GPa Gyz/GPa νxy νxz νyz 54.25 54.25 12.59 20.72 4.55 4.55 0.309 0.332 0.332 Notes: E—Modulus of elasticity; G—Modulus of shear; ν—Poisson’s ratio. -
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