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Numerical Methods for Three Dimensional Analysis of Buildings

  • Álvaro Vale e Azevedo
Conference paper

Summary

This paper describes some numerical techniques used on analytical three dimensional model that performs the structural analysis of buildings due to static actions in an integrated form with the dynamic analysis. The assembly of the floors stiffness matrix, as well as the substructuring techniques used for the solution of the system of equations, saves computation time and allows the analysis of buildings in which the floors have a large number of degrees of freedom. The techniques used for the solution of the system of equations of the overall buildings, as well as the techniques which allow to perform the dynamic analysis are presented.

Keywords

Stiffness Matrix Nodal Point Static Condensation Modal Displacement Substructuring Technique 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Azevedo, A. Vale - Análise Estática e Dinámica de Estruturas de Edificios, Thesis, LNEC, Lisbon, 1986.Google Scholar
  2. 2.
    Azevedo, A.Vale, ‘A Model for Dynamic Analysis of Buildings’, Proc. 8th European Conference on Earthquake Engineering, Lisbon, 1986.Google Scholar
  3. 3.
    Bathe, K.J. and Wilson, E.L. - Numerical Methods on Finite Element Analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1976.Google Scholar
  4. 4.
    Bathe, K.J.; Wilson, E.L.; Peterson, F.E. - SAP IV - A Structural Analysis Program for Static and Dynamic Analysis of Linear Systems, Rep. EERC 73-11, University of California, Berkeley, 1973.Google Scholar
  5. 5.
    Martin, R.S.; Peters, G.; Wilkinson, J.H., ‘Symmetric Decomposition of a Positive Matrix’, Numeriche Mathematik, N. 7, 1965.Google Scholar
  6. 6.
    Wilson, E.L.; Hollings, J.P.; Dovey, H.H. -Three Dimensional Analysis of Building Systems (extended version), Rep. EERC 75-13, University of California, Berkeley, 1975.Google Scholar

Copyright information

© Martinus Nijhoff Publishers, Dordrecht 1987

Authors and Affiliations

  • Álvaro Vale e Azevedo
    • 1
  1. 1.LNEC - National Laboratory for Civil EngineeringLisbonPortugal

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