基于Reddy型三阶剪切变形理论的复合材料加筋圆柱壳的屈曲计算  

Buckling calculation of composite stiffened cylindrical shell based on Reddy′s third-order shear deformation theory

作　　者：贺丹[1] 张海波 高艺航 HE Dan;ZHANG Hai-bo;GAO Yi-hang(Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation,Shenyang Aerospace University,Shenyang 110136,China;College of Aerospace Science and Engineering,National University of Defense Technology,Changsha 410073,China;Beijing Institute of Astronautical Systems Engineering,Beijing 100076,China)

机构地区：[1]沈阳航空航天大学辽宁省飞行器复合材料结构分析与仿真重点实验室,沈阳110136 [2]国防科技大学空天科学学院,长沙410003 [3]北京宇航系统工程研究所,北京100076

出　　处：《沈阳航空航天大学学报》2022年第3期8-18,共11页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:11572204)。

摘　　要：为精确地分析中厚和厚加筋圆柱壳的屈曲,基于Reddy型三阶剪切变形理论建立了一种新的复合材料加筋圆柱壳屈曲问题分析模型。该模型中的面内位移为三阶函数,能够自然满足壳的自由表面条件,不需要额外引入剪切修正系数。基于能量原理推导了受轴、侧压作用的复合材料加筋圆柱壳的屈曲控制方程,并针对典型算例进行了求解。在算例分析部分通过与参考文献解对比证明了解的准确性,讨论了结构布局对承载能力的影响,研究了不同设计参数下解与经典一阶理论解之间的异同,证明了当径厚比较高时,解与一阶理论解存在显著差异。考虑到模型的位移场阶数较高,比一阶理论更加贴近实际,因此建议对于具有较高径厚比的复合材料加筋圆柱壳采用模型进行计算以提高计算精度。Aim of this paper is to provide theoretical basis for accurately analyzing buckling of moderate thick and thick stiffened cylindrical shells.Based on Reddy′s third-order shear deformation theory,a new buckling analysis model of composite stiffened cylindrical shell was established.The in-plane displacement in the model was a third-order function,which could naturally meet free surface condition of the shell without introducing additional shear correction coefficient.Based on energy principle,buckling governing equations of the stiffened composite cylindrical shells subjected to both axial and lateral compression were derived and solved for typical numericalexamples.In the part of example analysis,accuracy of the solution was verified by comparing with the one from literature.Effect of structural layout on bearing capacity was discussed,and similarities and differences between the solution and classical first-order theoretical solution were studiedunder different design parameters.It was proved that there were significant differences between the solution and the first-order theoretical solution when the ratio of diameter to thickness was high.In view of higher displacement field order of the model compared to that of the first-order theory,the model was closer to reality,which could be used to calculate the composite stiffened shell with higher diameter-thickness ratio to improve the calculation accuracy.

关 键 词：复合材料 加筋圆柱壳 三阶剪切变形理论 屈曲 临界屈曲载荷 

分 类 号：O343.8[理学—固体力学]