Study on the effect of geometric errors of CFRP connection holes on the tensile strength of bolted structures
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摘要: 针对CFRP沉头螺栓连接孔制孔几何误差对连接结构拉伸强度的影响规律开展了相关研究。为了更为准确预测连接结构的应力变化情况，首先基于准静态试验建立了TC4ELI钛合金的本构模型，并基于Hashin失效准则以及界面的双线性本构建立了复合材料模型，在此基础上形成了复合材料沉头螺栓连接结构的有限元模型，并针对3个主要的制孔误差对连接结构力学性能的影响进行了数值模拟以及实验验证。研究结果表明所建立的有限元模型能够较为准确地预测连接结构失效形式以及拉伸强度。其次，相较于沉头角度以及倒角半径误差，沉头深度几何误差对最终连接结构最大应力值的影响最为显著，同时锪窝孔尺寸上下偏差对连接结构拉伸性能的影响具有较为明显的差异性。Abstract: In this study, the effects of geometrical errors of CFRP countersunk bolt connection holes on the tensile strength of the connection structure are investigated. In order to obtain the stress distribution of the joint structure, the constitutive model of TC4ELI titanium alloy was developed by quasi-static experiments, and the material model of CFRP was established by combining the Hashin failure criterion and the bilinear constitution for the material interface. On this basis, a finite element model of the composite countersunk bolt joint structure was developed, and numerical simulations and experiments were conducted to verify the effects of three major hole-making errors on the mechanical properties of the bolted joint. The results showed that the proposed finite element model can accurately predict the failure pattern and tensile strength of the bolted joint. Secondly, the geometric error of countersink depth has the most significant impact on the final maximum stress value of the jointed structure compared to the error of countersink angle and fillet radius. Meanwhile, the influence of the upper and lower deviation of the countersink hole size on the tensile properties of the bolted joints has an obvious diversity.
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Key words:
- constitutive model /
- hole-making error /
- FEM /
- bolted joint
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表 1 复合材料力学性能参数[15]
参数名 选取值 参数名 选取值 $ {E_{{\text{11}}}}{\text{/GPa}} $ 133 ${G_{23} }/{\rm{GP}}{\text{a} }$ 3.99 ${E}_{22}、{E}_{33}/{\rm{GP} }{{\rm{a}}}$ 8 $ {\nu _{12}} $、$ {\nu _{13}} $ 0.25 ${G_{12} }/{\rm{GP} }{\rm{a}}$ 5.32 $ {\nu _{23}} $ 0.34 ${G_{13} }/{\rm{GP}}{\text{a} }$ 5.32 ${S}_{12}、{S}_{13}、{S}_{23}/{\rm{MPa}}$ 81 ${X_T}/{\rm{MPa}}$ 1 300 ${K}_{n}、{K}_{s}、{K}_{t}/({\rm{N} }\cdot {\rm{m} }{{\rm{m}}}^{-3})$ 106 ${X_C}/{\rm{MPa}}$ 1 900 ${G_n}/({\rm{N}} \cdot {\rm{m}}{{\rm{m}}^{ - 1} })$ 0.33 ${Y_T}/{\rm{MPa}}$ 41 ${G_s} = {G_t}/({\rm{N}} \cdot {\rm{m}}{{\rm{m}}^{ - 1} })$ 1.209 ${Y_C}/{\rm{MPa}}$ 170 $t_n^0/{\rm{MPa}}$ 60 $t_s^0 = t_t^0/{\rm{MPa}}$ 110 
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表 2 制孔误差正交试验方案和实验结果
组号 沉头深度
/mm沉头角度
/(°)倒角半径
/mm应力最大值
/MPa1 1.1 99 0.6 1 055 2 1.1 100 0.75 1 011 3 1.1 101 0.9 1 109 4 1.0 99 0.75 1 219 5 1.0 100 0.9 1 204 6 1.0 101 0.6 1 169 7 0.9 99 0.9 1 086 8 0.9 100 0.6 1 077 9 0.9 101 0.75 1 111
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表 3 制孔误差正交试验极差分析
水平 沉头深度/mm 沉头角度/(°) 倒角半径/mm 1 1 086 1 109 1 169 2 1 069 1 011 1 219 3 1 104 1 055 1 230 极差 139 32 33 F值 0.099 0.678 0.683
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