复合材料加筋薄壁圆锥壳体有限变形的混合型理论
A Donnell Type Theory for Finite Deflection of Stiffened Thin Conical Shells Composed of Composite Materials
-
摘要: 本文利用变分原理和平均筋条刚度法,建立了在任意载荷作用下纵向和环向密加筋复合材料圆锥壳体有限变形的Donnell型理论.考虑了面板最一般的弯曲拉伸耦合关系和加筋筋条的偏心效应的影响.导出了平衡条件、边界条件和变形协调方程.给出了以应力函数和挠度函数表示的耦合形式的非性性变系数偏微分方程组.对于一些特殊情况,给出了相应的简化方程.Abstract: A Donnell type theory is developed for finite deflection of closely stiffened truncated laminated composite conical shells under arbitrary loads by using the variational calculus and smeared-stiffener theory. The most general bending-stretching coupling and the effect of eccentricity of stiffeners are considered. The equilibrium equations, boundary conditions and the equation of compatibility are derived. The new equations of the mixed-type of stiffened laminated composite conical shells are obtained in terms of the transverse deflection and stress function. The simplified equations are also given for some commonly encountered cases.
-
Key words:
- Composite materials /
- circular conical shells /
- stiffened shells /
- thin shells /
- finite deflection /
- mixed-type theory
-
[1] Pflüger,A.,Stabilit?t dünner Kegelschalen,Ing.Archiv.,8,3(1937),151-172. [2] Seide,P.,A survey of buckling theory and experiment for circular conical shells of constant thickness,NASA TN D-1510,401-426. [3] Fung,Y.C.and E.E.Sechler,Instability of thin elastic shells,Structural Mechanics(1960),115-168. [4] Amiro,I.Ya and V.A.Zarutskü,Stability of ribbed shells,Soviet Applied Mechanics,May(1984),925-940. [5] Tong Li-yong and Wang Tsun-kuei,Axisymmetric buckling of laminated composites conical shells under axial compression,Proceedings of International Conference on Composite Materials and Structures,Madras,India,Jan.6-9(1988). [6] 贺益波、王俊奎,在外压作用下复合材料圆锥壳失稳的初步研究,第五届全国复合材料学术会议论文集(下册),西安(1888, 11), 940-947. [7] Wang Hu and Wang Tsun-kuei,Snap-buckling of thin shallow conical shells,Proceedings of International Conference on Applied Mechanics,Beijing,China(1989). [8] Hoff,N.J.,The circular conical shells under arbitrary loads,Journal of Applied Mechanics,77(Dec.1955),557-562. [9] Seide,P.,A Donnell-type theory for asymmetrical bending and buckling of thin conical shells,Journal of Applied Mechanics,24,4(Dec.1957),547-552. [10] Singer,J.,Donnell-type equations for bending and buckling of orthotropic conical shells,Journal of Applied Mechanics,30,2(June 1963),303-305. [11] 赵金德,锥形壳体的弹性稳定性,航空学报,5, 1 (1984), 37-45. [12] 孙博华,两种类型夹层锥壳的位移型统一理论及应用(上),应用力学学报,5, 1 (1987), 79-89. [13] Jones,R.M.,Mechanics of Composite Materials,Scripta Book Company(1975). [14] 蒋咏秋,纤维增强复合材料层合圆柱壳的优化设计,复合材料学报,2, 3.〔1985),13-22
点击查看大图
计量
- 文章访问数: 1786
- HTML全文浏览量: 56
- PDF下载量: 875
- 被引次数: 0