Skip to main content

The Stability Analysis of a Continuum/Skeletal Fibre Matrix System

  • Chapter
  • 378 Accesses

Abstract

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.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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 

  9. Ishakian, V. G. and Hollaway, L. Application of the finite element method to the analysis of a skeletal/continuum GRP space structure, Composites,10, 1979, April, 2, 81–8.

    Article  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 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Applied Science Publishers Ltd

About this chapter

Cite this chapter

Ishakian, V.G., Hollaway, L. (1981). The Stability Analysis of a Continuum/Skeletal Fibre Matrix System. In: Marshall, I.H. (eds) Composite Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8120-1_25

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-8120-1_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8122-5

  • Online ISBN: 978-94-009-8120-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics