The Stability Analysis of a Continuum/Skeletal Fibre Matrix System
A single unit of a composite Vee section construction was manufactured from glass reinforced polyester and has been analysed analytically and experimentally to first buckling. The composite construction was made from two components, one of which was a skeletal system and the other a continuum one. The pultruded skeletal component had a glass fibre I polyester resin matrix ratio of 65–35% weight and the hand lay-up continuum component had a glass fibre/polyester resin matrix of 30–70% by weight. The analytical analysis was undertaken by the finite element method using rectangular plate elements in combination with line elements, as proposed by Scordelis, and included buckling of the continuum and its effect on the post- buckling behaviour of the structure. The buckling mode is expressed by determining the corresponding eigen-vector.
It was found that provided the analytical modelling of the practical structure is carefully performed, good correlation is achieved between the experimental and analytical structures. In the stability analysis small displacements were assumed and it was found that the bifurcation behaviour was totally dependent upon the level of the axial stresses on the structure.
KeywordsEpoxy Assure Glass Reinforce Plastic
Unable to display preview. Download preview PDF.
- 1.Zienkiewicz, O. C. The Finite Element Method in Engineering Science, McGraw-Hill, New York, 1971.Google Scholar
- 2.Nath, B. Fundamentals of the Finite Element Method, Athlone, London, 1974.Google Scholar
- 3.Rocky, K. C., Evans, H. R., Griffiths, D. V. and Nethercot, D. A. The Finite Element Method, Crosby Lockwood, London, 1975.Google Scholar
- 4.Brebbia, C. A. and Conner, J. J. Fundamentals of Finite Element Techniques for Structural Engineers, Butterworths, London, 1973.Google Scholar
- 5.Fenves, S. J. et al. Numerical and Computer Methods in Structural Mechanics, Academic Press, London, 1973.Google Scholar
- 6.Gallagher, R. H. Finite Element Analysis Fundamentals, Prentice-Hall, Englewood Cliffs, New Jersey, 1975.Google Scholar
- 7.Livesley, R. K. Matrix Methods of Structural Analysis, 2nd Edition, Pergamon Press, Oxford, 1975.Google Scholar
- 8.Gere, J. M. and Weaver, W. JR. Analysis of Framed Structures, Van Nostrand, London, 1965.Google Scholar
- 10.William, K. T. Finite element analysis of cellular structures, Ph.D. Thesis, University of California, Berkeley, 1969.Google Scholar
- 11.Macleod, I. A. New rectangular finite element for shear wall analysis, Journal of the Structural Division, Proceedings of the American Society of Civil Engineers (ASCE),95, 1969, March.Google Scholar
- 12.Tocher, H. L. and Hartz, B. J. Higher-order finite element for plane stress, Journal of the Engineering Mechanics, Proceedings of the American Society of Civil Engineers (ASCE),93, 1967, August.Google Scholar
- 13.Pole, G. M. and Felippa, C. A. Discussions on new rectangular finite element for shear wall analysis, Journal of the Structural Division, Proceedings of the American Society of Civil Engineers (ASCE),96, 1970, January.Google Scholar
- 14.Scordelis, A. C. Analysis of continuous box girder bridges, Struct. Engng and Struct. Mech. Report No. SESM 67–25, University of California, Berkeley, USA, November 1967.Google Scholar
- 15.Ishakian, V. G. Stability analysis of continuum/skeletal fibre matrix systems, University of Surrey, UK, 1980.Google Scholar