Skip to main content
SpringerLink
Log in
Book cover

Progress in Structural Engineering pp 525–540Cite as

The Mesh Description for Structural Analysis by Mathematical Programming

  • Conference paper

  • 399 Accesses

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 10))

Abstract

The paper reviews the nature of the mesh description of the structural laws of statics and kinematics and its relation to the more commonly employed nodal description. A wider scope for application of the mesh description is suggested through two non-standard structural mechanics problems, each of which can be represented by a linear complementarity problem. The first is that of a beam on a two-parameter elastic foundation, while the second is that of the dynamic response of a rigid plastic framed structure to pulse loading.

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

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 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

  • Al-Samara, M. A. (1986). “Elastoplastic dynamics of skeletal structures”, PhD thesis, University of London.

    Google Scholar 

  • Cassell, A. C., Henderson, J. C. de C. and Kaveh, A. (1974). “Cycle bases for the flexibility analysis of structures”, Int. J. Num. Meth. in Engng., 8, 521–528.

    Article  MATH  Google Scholar 

  • Denke, P. (1954). “A matrix method of structural analysis”, Proc. 2nd US Nat. Congr. of Appl. Mech., A.S.M.E.

    Google Scholar 

  • Jenkins, R. S. (1947). Theory and design of cylindrical shell structures, Ove Arup Partners, London.

    Google Scholar 

  • Kaneko, I., Lawo, M. and Thierauf, G. (1982). “On computational procedures for the force method”, Int. J. Num. Meth. In Engng., 18, 1469–1495.

    Article  MathSciNet  MATH  Google Scholar 

  • Kirchhoff, G. (1847). “Über die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanisher ströme geführt wird”, Poggendorf Ann. Phys. Chem., 72, 497–508; Englisher translation, Trans. Int. Radio Rngrs., CT-5, 4–7, March 1958.

    Google Scholar 

  • Kron, G. (1944). “Tensorial analysis and equivalent circuits of elastic structures”, J. Franklin Inst., 238, 399–442.

    Article  MathSciNet  Google Scholar 

  • Lloyd Smith, D. (1974). “Plastic limit analysis and synthesis of structures by mathematical programming”, PhD thesis, University of London.

    Google Scholar 

  • Lloyd Smith, D. (1990). “Statics and kinematics”, in Mathematical Programming Methods in Structural Plasticity, ed. D. Lloyd Smith, C.I.S.M. Courses and Lectures No. 299, Springer Verlag, Wien-New York.

    Google Scholar 

  • Lloyd Smith, D. and Sahlit, C. L. (1991). “Dynamic response of pulse loaded structures as a linear complementarity problem”, Engng. Opt. (to appear).

    Book  Google Scholar 

  • MacFarlane, A. G. J. (1970). Dynamical System Models, Harrap, London.

    MATH  Google Scholar 

  • Maxwell, J. Clerk (1864) “On the calculation of the equilibrium and stiffness of frames”, Phil. Mag., 7th Series 27, 294–299.

    Google Scholar 

  • Munro, J. and Smith, D. Lloyd (1972). “Linear programming in plastic analysis and synthesis”, Proc. Int. Symp. on Computer-aided Design, University of Warwick.

    Google Scholar 

  • Paniaras, Y. E. (1988). “The problem of lift-off in a beam on an elastic foundation”, Undergraduate dissertation, Department of Civil Engineering, Imperial College of Science, Technology and Medicine, University of London.

    Google Scholar 

  • Rao, C. R. and Mitra, S. K. (1971). Generalized inverse of matrices and its application, John Wiley, New York.

    Google Scholar 

  • Sahlit, C. L. de M. (1991). “Mathematical programming methods for dynamically loaded rigid-plastic framed structures”, PhD thesis, University of London.

    Google Scholar 

  • Sylvester, J. J. (1852). “On the principles of the calculus of forms”, Cambridge and Dublin Math. 1., 7, 52–97.

    Google Scholar 

  • Zhaohua, F. and Cook, R. D. (1983). “Beam elements on two-parameter elastic foundations”, J. Engng. Mech.. ASCE, 109, 1390–1402.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Systems and Mechanics Section Department of Civil Engineering, Imperial College of Science, Technology and Medicine, London, SW7 2BU, UK

    David Lloyd Smith

Authors
  1. David Lloyd Smith
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Waterloo, Canada

    Donald E. Grierson

  2. University of Brescia, Italy

    Alberto Franchi  & Paolo Riva  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Smith, D.L. (1991). The Mesh Description for Structural Analysis by Mathematical Programming. In: Grierson, D.E., Franchi, A., Riva, P. (eds) Progress in Structural Engineering. Solid Mechanics and Its Applications, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3616-7_36

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-3616-7_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5604-5

  • Online ISBN: 978-94-011-3616-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation