复合材料圆锥壳体的外压稳定性<sup>*</sup>

王虎; 王俊奎

复合材料圆锥壳体的外压稳定性^*

王虎,
王俊奎

北京航空航天大学飞行器设计与应用力学系

基金项目: * 国家教委高等学校博士点资金

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出版历程
- 收稿日期: 1990-03-24
- 刊出日期: 1991-12-15

Stability of Laminated Composite Circular Conical Shells under External Pressure

Peking University of Aeronautics and Astronautics, Beijing

摘要

摘要: 本文采用Donnell型扁壳理论,在文献[1]的基础上,应用能量变分法分析了在均布外压作用下复合材料叠层圆锥壳体的稳定性问题,得到了临界载荷的近似表达式.数值结果表明,临界载荷的理论预示值与实验结果非常吻合.最后,讨论了材料弹性常数、铺层参数等因素对临界载荷的影响.本文所得结果对航空航天结构设计具有重要参考价值.
- 复合材料壳 /
- 圆锥壳 /
- 稳定性 /
- 能量变分法
Abstract: In this paper, based on the mixed-type theory developed by the same authors^[1], a theoretical analysis is presented for the stability of laminated composite circular conical shells under external pressure. The formulas for critical external pressure are obtained by using the potential energy variation principle. Very good agreement is shown between the theoretical prediction of critical external pressure and the experimental data. Finally, the influence of some parameters on critical external pressure is discussed numerically. The mixed-type theory developed by the same authors[1] and the results obtained in this paper are very useful in aerospace engineering design.
- composites /
- circular conical shells /
- stability /
- potential energy variation principle

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参考文献(11)

[1]	王虎、王俊奎,复合材料薄壁加筋圆锥壳体有限变形的混合型理论,应用数学和力学,11(9)(1990),805-816.
[2]	Pflüger,A.,Stabilität dünner Kegelschalen,Ing-Archiv,8,3(1937),151-172.
[3]	Seide,P.,A survey of buckling theory and experiment for circular conical shells of constant thickness,NASATND-1510.
[4]	Fung,Y.C.and E.E.Sechler,Instability of thin elastic shells,Proc.of the 1st Symp.on Naval Structural Mechanics(1960),115-168.
[5]	Wang Hu and Wang Tsun-kuei,Snap-buckling of thin shallow conical shells,Proc.of International Conference on Applied Mechanics,Beijing China(1989),1113-1117.
[6]	Wang Hu and Wang Tsun-kuei,A displacement-type theory for thin conical shells composed of composite materials,Proc.of International Conference on the Advance in Structural Testing,Analysis and Design,Bangalore,India(1990).
[7]	Wang Hu and Wang Tsun-kuei,Analysis of general instability of composite conical shells stiffened with triangular ribs under external pressure,Preprints of the Second World Congress on Computational Mechanics,Stuttgart,FRG(1990).27-31.
[8]	王虎、王俊奎,复合材料三角形网格加筋圆锥壳体位移型稳定性方程及其总体稳定性分析,应用数学和数学,12(4)(1991),359-368.
[9]	贺一波、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文集》,(1988),940-947.
[10]	Jones,R.M.,Mechanics of Composite Materials,Scripta Book Company(1975).
[11]	Tsai,S.W.,Composite Design,Thick Composites(1986).