目的 构建一种新型屈曲理论模型,以更精确地预测复合材料夹层板的屈曲行为,提高结构设计的可靠性和安全性。方法 基于弹性力学理论与Timoshenko梁模型,建立复合材料夹层板的新屈曲理论模型,推导适用于整体与局部屈曲的计算公式。该公式形式简洁,适用于工程中的快速设计与优化。同时,开展参数化研究,并结合有限元模拟验证模型的准确性。结果 新模型能更准确地预测屈曲载荷,计算误差较小,较传统方法更具适用性。参数分析表明,复合材料夹层结构的屈曲性能受面板的拉伸、弯曲和剪切刚度共同影响。但由于对于复合材料面板三者间缺乏直接定量关系,其屈曲行为与各向同性结构存在差异,如铺层顺序引起的弯曲刚度变化、剪切刚度较低导致的屈曲载荷差异等。结论 提出的新屈曲理论模型为工程中复合材料夹层板的屈曲分析和设计提供了理论支撑和高效精准的计算工具,对优化结构、提升力学性能具有重要意义。
Abstract
The work aims to construct a novel buckling theory model to predict the buckling behavior of composite sandwich plates more accurately and improve the reliability and safety of structural design. Based on the elasticity theory and the Timoshenko beam framework, a novel buckling theory model was constructed for composite sandwich plates and the calculation formula applicable to both global and local buckling was derived, which was concise and suitable for rapid engineering design and optimization. At the same time, parametric research was carried out and the accuracy of the model was verified by finite element simulation. The novel model could predict the buckling load more accurately, with less calculation error and was more applicable than the traditional method. Parameter analysis showed that the buckling performance of composite sandwich structure was affected by the tensile, bending and shear stiffness of the plate. Due to the lack of direct quantitative relationships among these parameters, composite structures exhibited buckling behavior different from isotropic counterparts, such as changes in bending stiffness caused by ply sequence and reduced local buckling capacity due to weaker shear stiffness. The proposed novel buckling theory model provides theoretical support and efficient and accurate calculation tools for buckling analysis and design of composite sandwich plates in engineering, which is of great significance for optimizing structures and improving mechanical properties.
关键词
复合材料夹层结构 /
屈曲特性 /
解析解 /
有限元
Key words
composite sandwich structures /
buckling properties /
analytical model /
finite element analysis
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