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A dissipated energy maximization approach to elastic-perfectly plastic analysis of planar frames

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The optimization approaches, known as powerful tools in nonlinear analysis of structures, are considered in this paper for further development. Adopting linear kinematics, proportional loading, lumped plasticity, piecewise-linear yield loci, perfect plasticity and associated flow rule as the basic assumptions, the nonlinear analysis of a framed structure is formulated in the form of a mathematical programming problem. Dissipated energy is considered as the objective function and is maximized using the conventional simplex method with special provisions to obtain exact structural responses. The proposed algorithm is validated and outlined using several numerical examples taken from the literature.
Rocznik
Strony
171--194
Opis fizyczny
Bibliogr. 21 poz., rys., wykr.
Twórcy
autor
  • Department of Structural Engineering, Tarbiat Modares University, 14115-397 Tehran, Iran
autor
  • Department of Structural Engineering, Tarbiat Modares University, 14115-397 Tehran, Iran
autor
  • Department of Structural Engineering, Technical University (Politecnico) of Milan, Piazza L. da Vinci, 32-20133 Milan, Italy
Bibliografia
  • 1. M. A. Crisfield, Non-linear Finite Element Analysis of Solids and Structures, Volume 1: Essentials, John Wiley & Sons, Baffins Lane, Chichester, West Sussex P019 IUD, England, 1997.
  • 2. M. A. Crisfield, Non-linear Finite Element Analysis of Solids and Structures, Volume 2: Advanced Topics, John Wiley & Sons, Baffins Lane, Chichester, West Sussex P019 IUD, England, 1997.
  • 3. O. C. Zienkiewicz, R. L. Taylor, The Finite Element Method, 5th ed., Butterworth-Heinemann, Oxford, 2000.
  • 4. M. Jirasek, Z. P. bazant, Inelastic analysis of structures, Wiley, Chichester, 2002.
  • 5. R. Hill, The Mathematical Theory of Plasticity, Oxford University Press, Oxford, 1950.
  • 6. H. J. Greenberg, W. Prager, Limit design of beams and frames, Proceedings ASCE, 77, 59, 1-12, 1951.
  • 7. G. Maier, A quadratic programming approach for certain classes of non linear structural problems, Meccanica, 3, 2, 121-130, 1968.
  • 8. G. Maier, Quadratic programming and theory of elastic-perfectly plastic structures, Meccanica, 3, 4, 265-273,1968.
  • 9. G. Maier, A matrix structural theory of piecewise-linear plasticity with interacting field planes, Meccanica, 5, 55-66, 1970.
  • 10. R. W. Cottle, J. S. Pang, R. E. Stone, The linear complementarity problem, Academic Press, San Diego, 1992.
  • 11. G. Maier, S. Giacomini, F. Paterlini, Combined elastoplastic and limit analysis via restricted basis linear programming, Computer Methods in Applied Mechanics and Engineering, 19, 21 48, 1978.
  • 12. J. Holnicki-Szulc, J. Gierlinski, Structural modifications simulated by virtual distortions, Int. J. Numer. Methods Eng., 28, 645-66, 1989.
  • 13. A. Gawecki, M. S. Kuczma, P. Kruger, Analysis of slackened skeletal structures by mathematical programming, Computers and Structures, 69, 639-654, 1998.
  • 14. G. Maier, V. Carvelli, G. Gocchetti, On direct methods for shakedown and limit analysis, European Journal of Mechanics A/Solids, 19 (Special Issue), S79-S100, 2000.
  • 15. F. Giambanco, Elastic plastic analysis by the asymptotic pivoting method, Computers and Structures, 71, 215-238, 1999.
  • 16. G. Cocchetti, G. Maier, Elastic-plastic and limit-state analyses of frames with softening plastic-hinge models by mathematical programming, International Journal of Solids and Structures, 40, 7219 7244, 2003.
  • 17. S. Tangaramvong, F. Tin-Loi, Simultaneous ultimate load and deformation analysis of strain softening frames under combined stresses, Engineering Structures, 30, 664-674, 2008.
  • 18. G. Maier, Piecewise linearization of yield criteria in structural plasticity, Solid Mechanics Archives, 2/3, 239-281, 1976.
  • 19. F. Tin-Loi, A yield surface linearization procedure in limit analysis, Mechanics of Structures and Machines, 18, 135-149, 1990.
  • 20. J. A. König, On exactness of the kinematical approach in the structural shakedown and limit analysis, Ingenieur-Archiv, 52, 421-428, 1982.
  • 21. S. I. Gass, Linear Programming Methods and Applications, fourth edition, McGraw-Hill, New York, 1975.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8840cdad-06dc-43b5-b351-d5fd4bf9e8bf
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