Study on Influence of Shaft Sleeve Length on Shape of Axial Compression Body of Clamped Piece
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摘要: 螺栓连接结构在其夹紧区域内压缩变形量的计算会受到压缩变形体形状的影响。为了探究更适宜的压缩变形体等效方式，基于压应力4次分布理论修正了与轴套接触的被连接件内压缩变形体的最小外径，得到被连接件轴向压缩变形量的修正解析式。对有限元仿真的节点应力进行曲线拟合和数值积分计算，得到螺栓的轴向压缩变形量。结果表明：螺栓连接结构夹紧区域内压缩变形体为平头圆锥、圆柱与双平头圆锥的组合形式更为恰当，与轴套接触的被连接件内压缩变形体的最小外径修正为轴套外径与螺栓头支承面直径平均值的1.4倍时，其相对误差不超过7.49%；采取正确的压缩变形体等效方式并引入被连接件压缩变形体最小外径的修正有利于计算含有轴套的螺栓连接结构的轴向压缩变形量。Abstract: The calculation of the compression deformation of the bolted connection structure in its clamping region is affected by the shape of the compression body. In order to explore a more suitable equivalent mode of the compression body, the minimum outer diameter of the compression body in the clamped piece contacted with the shaft sleeve was modified based on the four times distribution method of compressive pressure to obtain the modified analytic expression of axial compression deformation. Through the curve fitting and numerical integration calculation for the node stress of finite element simulation, the axial compression deformation of the bolt was obtained. The result shows that the more appropriate equivalent mode of the compression body is the combination of cone, cylinder and double cones. The relative error does not exceed 7.49% after the minimum diameter of the compression body in the clamped piece contacted with the shaft sleeve is modified to be 1.4 times of the average of the outer diameter of the shaft sleeve and the diameter of the bearing surface of the bolt head.
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Key words:
- Bolt connection /
- shaft sleeve /
- axial deformation degree /
- simulation
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表 1 模型三维参数
参数及单位 数值 参数及单位 数值 支承面直径dw/mm 19.2 1次修正d'w/mm 29.568 轴套内径dhz/mm 13 tanφ 0.3627 轴套外径dz/mm 23.04 变形体最大外径DA/mm 30.507 被连接件内径dhb/mm 13.5 上被连接件厚度h1/mm 10 被连接件外径D'A/mm 36.8 下被连接件厚度h2/mm 10 
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表 3 螺栓解析计算与仿真计算压缩变形量与相对误差
轴套长度h/mm 0 10 15 20 25 30 δ/10−3 mm 2.1074 3.7939 4.6541 5.5138 6.3755 7.2992 δ1/10−3 mm − 6.2450 7.2671 8.2891 9.3112 10.333 δ2/10−3 mm 2.1518 4.1955 5.2175 6.2400 7.2617 8.2837 δ3/10−3 mm – 3.8257 4.8478 5.8698 6.8919 7.9140 η1/% – 39.25 35.96 33.48 31.53 29.36 η2/% 2.05 9.57 10.80 11.63 12.20 11.88 η3/% – 0.83 4.00 6.07 7.49 7.78
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