Design method of tenon joint structure of resin matrix braided composite
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摘要:
开展了树脂基编织复合材料榫连接结构设计方法研究。以名义许用应力为设计基准，结合涂层接触应力，对燕尾榫进行参数提取与参数化建模，给出了燕尾榫接触面榫连接结构的设计流程和设计准则。研究得到了结构参数的详细计算方法。结合燕尾榫几何尺寸和纱线密度，根据厚度确定了榫头部分的织造参数变化和增减纱工艺，建立了树脂基编织复合材料变厚度标准有限元细观模型。结合等厚度与变厚度刚度预测方法，进行尺度分离和榫连接结构应力分析。结果表明：根据此设计方法，燕尾榫榫连接结构未产生严重应力集中，接触应力与等效应力都在材料强度范围以内。
Abstract:The research on the design method of tenon joint structure of resin matrix braided composites was carried out. Taking the nominal allowable stress as the design basis, combined with the coating contact stress, the parameters of dovetail joint were extracted and modeled, and the design process and design criteria of dovetail joint were given. The detailed calculation method of structural parameters was obtained. Combined with the dovetail tenon geometric size and yarn density, the weaving parameters of the tenon part and the yarn increase and decrease process were determined according to the thickness, and the standard finite element meso model of resin matrix braided composites with variable thickness was established. The scale separation hypothesis was proposed to analyze the stress of the tenon joint structure by combining the equal thickness and variable thickness stiffness prediction methods. The results showed that the stress distribution of dovetail tenon joint structure did not have serious stress concentration due to geometry, and the contact stress and equivalent stress fell within the range of material strength.
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图 1 树脂基编织复合材料燕尾榫榫连接结构模型
Figure 1. Model of dovetail joint structure of resin matrix braided composites
图 23 不同涂层厚度下接触应力和接触宽度变化图
Figure 23. Variation diagram of contact stress and contact width at different coating thicknesses
图 24 榫连接结构有限元计算模型
Figure 24. Finite element computational model of tenon joint structure
图 25 榫连接结构接触应力和等效应力示意图
Figure 25. Contact stress and equivalent stress diagram of tenon joint structure
表 1 燕尾榫连接结构参量提取
Table 1. Extraction of structural parameters of dovetail tenon joint structure
参量名称 量符号 已知参量 基准面半径 ${R_{\mathrm{j}}}$ 叶片数目 ${N_{\text{u}}}$ 齿底间隙 $c$ 榫槽齿顶倒角半径 ${g_4}$ 榫头轴向长度 $d$ 伸根高 ${H_{{\mathrm{ts}}}}$ 工作转速 $n$ 设计参量 接触面侧角 $\beta $ 涂层厚度 $\delta $ 榫槽接触面下过渡圆弧半径 ${g_2}$ 榫头底面上过渡圆弧半径 ${r_3}$ 关联参量 榫头接触面上过渡圆弧半径 ${r_2}$ 榫头接触面下过渡圆弧半径 ${r_1}$ 榫槽接触面上过渡圆弧半径 ${g_1}$ 榫槽底面上过渡圆弧半径 ${g_3}$ 榫头肩宽 ${L_{\mathrm{s}}}$ 榫头颈宽 ${L_{{\mathrm{t}}1}}$ 接触直线段长度 ${D_{\mathrm{e}}}$ 榫头深 ${H_{{\mathrm{t}}1}}$ 榫槽深 ${H_{{\mathrm{g}}1}}$ 榫槽齿厚 ${H_{{\mathrm{g}}2}}$ 榫头宽 ${L_{{\mathrm{t}}2}}$ 榫槽颈宽 ${L_{{\mathrm{g}}2}}$ 轴心角 $\gamma $ 榫槽口宽 ${L_{{\mathrm{g}}1}}$ 
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表 2 设计已知变量
Table 2. Known variables for design
${{{R}}_{\text{j}}}$/mm ${{n}}$/（r/min） Ns/片 ${{{g}}_2}$/（°） ${\beta}$/（°） 215.4 10000 22 5 50
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表 3 编织参数
Table 3. Braiding parameters
${{{L}}_{{\text{t}}1}}$/mm ${{{L}}_{{\text{t}}2}}$/mm ${{{P}}_{\text{j}}}$/（根/cm） ${{{P}}_{\text{w}}}$/（根/cm） 9.65 18.8 3 3
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表 4 各变厚度截面纬纱股数
Table 4. Number of weft yarns per variable thickness section
位置 厚度/mm 纬纱（T300-3K合股）
根数（从中间到边缘）真实 设计 ${L_0}$ 9.65 10.14 6, 6, 6, 6, 6, 6, 6, 6, 6, 8 ${L_1}$ 12.45 12.9 12, 10, 8, 8, 8, 8, 8, 8, 8, 8 ${L_2}$ 15.24 15.82 16, 16, 14, 12, 12, 12, 8, 8, 8, 8 ${L_3}$ 18.04 18.74 18, 18, 18, 16, 16, 16, 12, 12, 8, 8 ${L_4}$ 18.8 18.95 18, 18, 18, 18, 16, 16, 14, 12, 8, 8
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