Axial Rigidity of Unstiffened Transverse Plate-to-Circular Hollow Section (CHS) Joints
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摘要: 为了研究圆钢管-横向板相贯节点的轴向初始刚度,在分析传力方式和局部变形特点的基础上,建立了用于T形节点、十字形节点刚度计算的半圆拱模型、圆环模型,推导了节点刚度理论式.运用麦克劳林级数将理论式中的复杂函数简化为指数函数与幂函数的乘积,再考虑到板管厚度比的影响,利用多元回归分析技术,获得T、十字形节点的轴向初始刚度参数化计算式.研究结果表明:节点轴向初始刚度与弹性模量和主管直径成正比,与板管厚度比呈对数函数关系,与主管径厚比、宽径比(板宽与管直径比)呈相互影响的幂函数、指数函数关系;弯矩和剪力并不影响弹性受力状态下的节点轴向初始刚度,计算式所得初始刚度值与有限元结果的相对误差小于10%.
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关键词:
- 圆钢管-横向板相贯节点 /
- 节点轴向初始刚度参数化计算式 /
- 半圆拱模型 /
- 圆环模型 /
- 参数化分析
Abstract: To study the initial axial rigidity of transverse plate-to-circular hollow section (CHS) joint, a semicircular arch and circular ring models for the rigidity calculation of T-type and cross shaped-type plate-to-CHS joints were developed based on the analysis of force transferring mechanism and local deformation characteristics. Utilizing maclaurin series expansion and multiple nonlinear regression analysis, the complex theoretical formula was simplified to the product of an exponential function and a power function. A calculation formula for the initial axial rigidity was established by introducing the neglected influential factor, plate-to-CHS thickness ratio. The results indicate that the initial axial rigidity of joints is directly proportional to CHS diameter and elastic modulus, and it has a logarithmic relationship with plate-to-CHS thickness ratio, showing power function with CHS diameter-to-thickness ratio and exponential function with plate width-to-CHS diameter ratio. The last two ratios affect each other. The rigidity is not affected by bending and shear when the joints is under the elastic stress, and the relative errors between the theoretical rigidities calculated by the proposed formula and the finite element analysis (FEA) are less than 10%. -
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