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

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

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基金

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- 被引次数: 0
出版历程
- 收稿日期: 1989-12-16
- 刊出日期: 1991-04-15

A New Displacement-Type Stability Equation and General Stability Analysis of Laminated Composite Circular Conical Shells with Triangular Grid Stiffeners

Wang Hu,
Tsun-kuei

Beijing University of Aeronautics and Astronautics, Beijing

摘要

摘要: 本文采用Donnell型扁壳理论,首先利用最小势能原理和广义平均筋条刚度法推导出用位移分量表示的复合材料三角形网格加筋叠层圆锥壳体的稳定性方程,考虑了蒙皮最一般的拉弯与拉扭耦合关系和加筋筋条的偏心效应,并讨论了该方程的基本性质.根据外压实验观察结果,通过选取适当的位移分量表达式,并运用Galerkin法分析了在均布外压作用下复合材料三角形网格加筋叠层圆锥壳体总体稳定性,得到了临界载荷的解析表达式,并对某一类C/E复合材料三角形内网格加筋圆锥壳体的临界外压进行了计算,所得理论值与实验结果很好地吻合.最后,讨论了有关参数对临界载荷的影响.本文所建立的新方程和所得结果对于航空航天结构非常有用.
- 复合材料壳体 /
- 圆锥壳 /
- 加筋壳 /
- 总体稳定性 /
- Galerkin法
Abstract: In this paper,based on the theory of Donnell-type shallow shell,a new displacement-type stability equations is first developed for laminated composite circular conical shells with triangular grid stiffeners by using the variational calculus and generalized smeared-stiffener theory.The most general bending stretching couplings,the effect of eccentricity of stiffeners are considered.Then,for general stability of composite triangular grid stiffened conical shells without twist coupling terms,the approximate formulas are obtained for critical external pressure by using Galerkin's procedure.Numerical examples for a certain C/E composite conical shells with inside triangular grid stiffeners are calculated and the results are in good agreement with the experimental data.Finally,the influence of some parameters on critical external pressure is studied.The stability equations developed and the formulas for critical external pressure obtained in this paper should be very useful in the astronautical engineering design.
- general stability /
- composite materials /
- circular conical shells /
- triangular grid stiffeners /
- Galerkin’s procedure

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参考文献(26)

[1]	March,H,W.,et al.,Buckling of thin-walled Plywood cylinders in torsion,Forest Products Lab.,Madison,Wisc.,Report 1529(1945).
[2]	Card,M.F.,Experiments to determine the strength of filament-wound cylinders loaded in axial compression,NASA TN D-3522(Aug.1966).
[3]	Khot.N.S.,et al.,Effect of fiber orientation on initial post-buckling behaviour and imperfection sensitivity of composite cylindrical shells,AFFEL-TR-70-125(1970).
[4]	Khot,N.S.,Buckling and postbuckling behaviour of composite cylindrical shells under axialcompression,AIAA J.,8,2(Feb.1970),229-235.
[5]	Tennyson,R.C.,Buckling of laminated composite cylinders:a review,Composites,6,1(Jan.1975),17-24.
[6]	Chang,L.K.,et al.,Thermal buckling of stiffened cylindrical shells,Proc.of AIAA/ASME 11th Structures,Structural Dynamic and Materials Conf.(April 1970),260-272.
[7]	Tennyson,R.C.,The effect of shape imperfections and stiffening on the buckling of circular cylinders,Buckling of Structures,B.Budiansky,Ed.,Springer-Verlag,N.Y.,(1976),251-273.
[8]	王虎、王俊奎,复合材料加筋薄壁圆锥壳体有限变形棍合型理论.应用数学和力学,11,(1990),805-816.
[9]	Rehfield,L.W.,et al.,Buckling of continuous filament advanced composite isogrid wide columns in axial compression,AD-A064783(1978).
[10]	Herde,J.,Graphite/epoxy isogrid structures,SAMPE,20(1975),31-40.
[11]	Penton,A.P.,Proceeding of G/E isogrid structures,SAMPE,21(1976),934-942.
[12]	陆集平,碳/环氧复合材料网格加筋结构的研制,《第五届全国复合材料学术会议论文集》(下册)(1988),1131-1135,
[13]	Lackman,L.,et al.,Buckling of circular cones under axial compression,JAM,27,3(Sept.1960),458-460.
[14]	Shaley,A.,et al.,Buckling analysis of elastically constrained conical shells under hydrostatic pressure by the collocation method,AIAA Paper No.73-354(1970).
[15]	Weingarten,V.I.,et al.,Elastical stability of thin-walled cylindrical and conical shells under axial compression,AIAA J.,3(March 1965),500-505.
[16]	Bijlaard,P.P.,Buckling of conical shells under external pressure,NASA TN D-1510(1962).
[17]	Wang Hu and Wang Tsun-kuei,Snap-buckling of thin shallow conical shells,Proc.of ICAM,Beijing China(1989).
[18]	Baruch,M.,et al.,Buckling of orthotropic conical shells under external pressure,TAE Report 22(1962).
[19]	贺一波、王俊奎,在外压作用下复合材料圆锥壳失稳的初十研究,《第五届全国复合材料学术会议论文集》(下册)(1998),940-947).
[20]	Wang Hu and Wang Tsun-kuei,A displacement-type theory for thin circular conical shells composed of composite materials,A paper Accepted by International Conf.on Advances in Structural Testing,Analysis and Design,Bangalore,India(Ang.1990).
[21]	Tong Li-yong and Wang Tsun-kuei,Axisymmetrical buckling of laminated composite conical shells under axial compression,Proc.of ICCMS,Madras India(1988).
[22]	Jones,R.M.,Mechanics of Composite Materials,Scripta Book Company(1975).
[23]	徐孝诚.C/E复合材料三角形网格加筋壳的总体稳定性,《第四届全国复合材料会议论文集》(下集)(1986),756-761.
[24]	Seide,P.,A Donnell-type theory for asymmetrical bending and buckling of thin conical shells,JAM,24,4(Dec.1957),547-552.
[25]	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.
[26]	徐孝诚,C/E复合材料网格加筋壳临界外压计算的实验验证,强度与环境(1985),35-40.