侧压下含缺陷功能梯度材料圆柱壳的屈曲  

Buckling of Imperfect Functionally Graded Cylindrical Shells Under Lateral Pressure

作　　者：黄怀纬[1] 韩强[1] 

机构地区：[1]华南理工大学土木与交通学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2008年第6期40-46,共7页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10672059);广东省自然科学基金资助项目(06025689)

摘　　要：采用圆柱壳Donnell方程和前屈曲一致理论,在计及前屈曲效应的基础上,研究了侧压载荷作用下含缺陷功能梯度材料圆柱壳的屈曲问题,结合伽辽金原理,得到了功能梯度材料圆柱壳的临界屈曲条件.文中还研究了均匀温升的热环境对结构屈曲的影响,分析中考虑了材料的物性温度相关性.数值结果表明:侧压载荷作用下,功能梯度材料圆柱壳的临界载荷受结构尺寸参数的影响很大,随着壳体长径比的减小或厚径比的增大,临界载荷增加较大;同时,临界载荷随陶瓷组分混合比率的增大而增大,随缺陷幅值或环境温升的增大而有所减小.热分析结果表明,在一定温度范围内,陶瓷含量较多的壳体的临界承载力受温升的影响较小.By taking into consideration the prebuckling effects, this paper investigates the buckling of imperfect functionally graded cylindrical shells under lateral pressure by using the Donnell theory of circular cylindrical shells and the prebuckling consistent theory, presents the corresponding critical buckling conditions with the aid of Galerkin method, and reveals the effect of an uniform temperature rise on the buckling by considering the temperature-dependent material properties. Numerical results show that （ 1 ） the critical load of functionally graded cylindrical shells is greatly affected by the structure size, i. e. , it greatly increases with the decrease of the length-to-radius raio as well as with the increase of the thickness-to radius ratio; and （2） the critical load increases with the volume fraction of ceramic constituent but decreases with the increase of the defect amplitude or the temperature rise of the surroundings. Thermal analysis also shows that, within a certain temperature range, the critical load of ceramic-rich shells is slightly affected by the temperature rise.

关 键 词：功能梯度材料 圆柱壳 缺陷 侧压 屈曲 

分 类 号：O343.9[理学—固体力学]