A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

Abstract

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.

Key words: general stability, composite materials, circular conical shells, triangular grid stiffeners, Galerkin’s procedure

Wang Hu;Wang Tsun-kuei. A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS. Applied Mathematics and Mechanics (English Edition), 1991, 12(4): 383-392.

TrendMD

References

[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] Wang Hu and Wang Tsun-kuei,A donnell type theory for finite deflection of stiffened thin circular conical shells composed of composite materials,Applied Mathematics and Mechanics,11,9(1990).857-868.
[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] Lu Ji-ping Investigations on integrally forming process of Carbon/Epoxy triangular grid stiffened shells,Proc.of 5th National Conf.on Composite Materials,3,(Oct.1988),1131-1135.(in Chinese).
[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] He Yi-bo and Wang Tsun-kuei,Initial results on instability of composite conical shells under external pressure,.Proc.of 5th National Conf.on Composite Materials,3(Oct.1988),940-947.(in Chinese).
[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] Xu Xiao-cheng,The general instability of C/E composite triangular grid shells,Proc.of 4th National Conf.on Composite Materials,3(Oct.1986),756-761.(in Chinese).
[24] Seide,P.,A Donnell-type theory for asymmetrical bending and buckling of thin conical shells,JAM,24,4(Dec.1957),547-552.
[25] Jiang Yong-qiu,Optimum design of laminated cylindrical shells with fiber reinforced composites,Acta Materiae Compositae Sinica,2,3(Sept.1985),13-22.(in Chinese).
[26] Xu Xiao-cheng,Experimental verification on critical external pressure calculation of C/E composite triangular grid shells,Strength and Environment(June.1985),35-40.(in Chinese)