基于混合元的变刚度层合板静力学分析  

STATIC ANALYSIS OF VARIABLE STIFFNESS LAMINATES BASED ON MIXED FINITE ELEMENT

作　　者：杨立洲 卿光辉[1] YANG Li-zhou;QING Guang-hui(School of Aeronautical Engineering,Civil Aviation University of China,Tianjin 300300,China)

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《工程力学》2024年第3期19-25,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(11502286)。

摘　　要：针对变刚度层合结构,大多采用板壳理论或常规的位移有限元法分析其力学行为。相较位移元,非协调广义部分混合元同时引入位移和应力边界条件,提高了应力结果精度,且边界应力更符合真实情况。扩展了纯弹性体的非协调广义部分混合元理论,提出适用于变刚度层合结构修正的非协调广义部分混合元模型。与ABAQUS计算结果对比证明,即使在网格较稀疏的情况下,该文方法也具有较好的适用性,且数值结果精确度高。通过算例分析了纤维铺设角度的变化对变刚度层合板平面内位移场的影响,可为变刚度结构的设计提供一定的思路。For variable stiffness laminated structures,the theory of plates and shells or the conventional displacement finite element method are mostly used to analyze the mechanical behavior.Unlike the displacement element,the noncompatible generalized partial mixed element introduces displacement and stress boundary conditions at the same time,which improves the accuracy of stress results,and the boundary stress is more in line with the real situation.A modified noncompatible generalized partial mixed element model suitable for variable stiffness laminated structures is proposed by extending the theory of noncompatible generalized partial mixed element of pure elastomer.The comparison with the results from ABAQUS shows that the method in this paper has good applicability,and the numerical results are more accurate with sparser mesh.The influence of fiber laying angle on the in-plane displacement field of variable stiffness laminated plates is analyzed through numerical examples,which may be helpful for the design of variable stiffness structures.

关 键 词：变刚度结构 层合板 非协调广义混合元 有限元法 静力学分析 

分 类 号：O343.8[理学—固体力学]