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| 复合材料层合板屈曲行为的一般场函数半解析法 |
| A semi-analytical general field function methodology for the buckling of laminated composite plates |
| 投稿时间：2025-02-20 修订日期：2025-04-22 |
| DOI： |
| 中文关键词: 复合材料 层合板 屈曲 一般场函数法 能量法 |
| 英文关键词:Composite plate buckling general field function method energy method |
| 基金项目:国家重点研发计划资助项目（2023YFC3009400）; 国家自然科学基金(12472012); 江西省自然科学重点基金(20232ACB204028) |
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| 中文摘要: |
| 本文基于能量变分原理，提出一种具有普适性变形模式的一般场函数方法，研究了复合材料双层板的屈曲行为。一般场函数法的位移场函数由初等函数构造的基函数和权重系数组成，考虑到边界约束条件同样满足场函数的条件据此可以建立对应的线性方程组，权重系数因而可以由线性方程组的基础解系线性组合得到。本文方法有效解决了传统能量法场函数选取受边界约束类型限制的问题，具有高自由性和精确度，为实际的工程应用提供了依据。 |
| 英文摘要: |
| In this paper, based on the principle of energy variation, a general field function method with universal deformation mode is proposed, and the buckling behavior of composite double-layer plates is studied. The displacement field function is composed of the basis function and the weight coefficient constructed by the elementary function, and the corresponding linear equations can be established considering that the boundary constraints also meet the conditions of the field function, and the weight coefficients can be obtained from the linear combination of the basic solution systems of the linear equations. This method effectively solves the problem that the selection of the field function of the traditional energy method is limited by the type of boundary constraints, and has high freedom and accuracy, which provides a basis for practical engineering applications. |
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