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Explicit local buckling analysis and design of fiber-reinforced plastic composite structural shapes

机译：纤维增强塑料复合结构形状的显式局部屈曲分析与设计

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摘要

Pultruded fiber-reinforced plastic (FRP) composite structural shapes (beams and columns) are thin-walled open or closed sections consisting of assemblies of flat plates and commonly made of E-glass fiber and either polyester or vinylester resins. Due to high strength-to-stiffness ratio of composites and thin-walled sectional geometry of FRP shapes, buckling is the most likely mode of failure before material failure. In this paper, explicit analyses of local buckling of rectangular orthotropic composite plates with various unloaded edge boundary conditions (i.e., (1) rotationally restrained along both unloaded edges (RR), and (2) one rotation-ally restrained and the other free along the unloaded edges (RF)) and subjected to uniform in-plane axial action at simply-supported loaded edges are first presented. A variational formulation of the Ritz method is used to establish an eigenvalue problem, and explicit solutions of plate local buckling coefficients in term of the rotational restraint stiffness (k) are obtained. The two cases of rotationally restrained plates (i.e., the RR and RF plates) are further treated as discrete plates of closed and open sections, and by considering the effect of elastic restraints at the joint connections of flanges and webs, the local buckling of different FRP shapes under uniform axial compression is studied. The approximate expressions of the rotational restraint stiffness (k) for various common FRP sections are provided, and their application to sectional local buckling predictions is illustrated. The explicit local buckling formulas of rotationally restrained plates are validated with the exact transcendental solutions. The analytical predictions for local buckling of various FRP profiles based on the present discrete plate analysis and considering the elastic restraints of the flange-web connections are in excellent agreements with available experimental results and finite element eigenvalue analyses. A design guideline for local buckling prediction and related performance improvement is proposed. The present explicit formulation can be applied effectively to determine the local buckling capacities of composite plates with elastic restraints along the unloaded edges and can be further used to predict the local buckling strength of FRP shapes.
机译：拉挤纤维增强塑料（FRP）复合结构形状（梁和柱）是薄壁开放或封闭部分，由平板组件组成，通常由E-玻璃纤维和聚酯或乙烯基酯树脂制成。由于复合材料的高刚度比和FRP形状的薄壁截面几何形状，屈曲是材料破坏之前最有可能破坏的方式。在本文中，对具有各种卸载边缘边界条件的矩形正交异性复合板的局部屈曲进行了显式分析（即（1）沿两个卸载边缘（RR）旋转受约束，（2）一个受旋转约束且另一个沿自由受约束首先介绍了卸载边缘（RF）并在简单支撑的加载边缘处经受了均匀的平面轴向作用。使用Ritz方法的变分公式建立特征值问题，并根据旋转约束刚度（k）获得了板局部屈曲系数的显式解。旋转约束板的两种情况（即RR和RF板）进一步被视为封闭和开放部分的离散板，并考虑到法兰和腹板的连接处的弹性约束的影响，不同部位的局部屈曲研究了均匀轴向压缩下的FRP形状。提供了各种常见FRP截面的旋转约束刚度（k）的近似表达式，并说明了它们在截面局部屈曲预测中的应用。精确的先验解验证了旋转约束板的显式局部屈曲公式。基于目前的离散板分析并考虑法兰-腹板连接的弹性约束，对各种FRP型材局部屈曲的分析预测与可用的实验结果和有限元特征值分析非常吻合。提出了局部屈曲预测和相关性能改进的设计指南。本显式公式可有效地应用于确定沿无载荷边缘具有弹性约束的复合板的局部屈曲能力，并可进一步用于预测FRP形状的局部屈曲强度。

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