Structural Engineering and Mechanics

  • 제26권1호
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  • Pages.15-30
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Duality in non-linear programming for limit analysis of not resisting tension bodies

  • Baratta, A. (Dept. of Structural Engineering, University of Naples "Federico II") ;
  • Corbi, O. (Dept. of Structural Engineering, University of Naples "Federico II")
  • 투고 : 2005.01.28
  • 심사 : 2006.11.01
  • 발행 : 2007.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

In the paper, one focuses on the problem of duality in non-linear programming, applied to the solution of no-tension problems by means of Limit Analysis (LA) theorems for Not Resisting Tension (NRT) models. In details, one demonstrates that, starting from the application of the duality theory to the non-linear program defined by the static theorem approach for a discrete NRT model, this procedure results in the definition of a dual problem that has a significant physical meaning: the formulation of the kinematic theorem.

키워드

참고문헌

  1. Baratta, A. (1996), 'Structural analysis of masonry buildings', In: Seismic Risk of Historic Centers. A Preliminary Approach to the Naples Case, A. Baratta and T. Colletta Eds., La Citta del Sole B.C., Napoli, 76-122
  2. Baratta, A. and Corbi, I. (2004), 'Plane of elastic non-resisting tension material under foundation structures', Int. J. Numer. Anal. Meth. Geom., 28, 531-542 https://doi.org/10.1002/nag.349
  3. Baratta, A. and Corbi, O. (2003), 'Limit analysis of no tension bodies and non-linear programming', Proc. 9th Int. Conf. Civil and Structural Engineering Computing. Egmond Aan Zee, Netherlands
  4. Baratta, A. and Corbi, O. (2003), 'The no tension model for the analysis of masonry-like structures strengthened by fiber reinforced polymers', Int. J. Masonry Int., British Masonry Society, 16(3), 89-98
  5. Baratta, A. and Corbi, O. (2004), 'Applicability of duality theory to LA problems with undefined flow law', Proc. 1st Int. Conf. RRTEA on Restoration, Recycling, Rejuvenation Technology for Engineering and Architecture Application. Cesena, Italy
  6. Baratta, A. and Toscano, R. (1982), 'Stati tensionali in pannelli di materiale non reagente a trazione', Proc. 6th Nat. Conf. AIMETA, Genova, 2, 291-301
  7. Baratta, A., Zuccaro, G. and Binetti, A. (2004), 'Strength capacity of a no-tension portal arch-frame under combined seismic and ash loads', J. Volcanol. Geoth. Res., 133, 369-376 https://doi.org/10.1016/S0377-0273(03)00408-6
  8. Bazaraa, M.S., Shetty, C.M. and Sherali, H.D. (1993), 'Non-linear programming: theory and algorithms', (Wiley Series in Discrete Mathematics & Optimization), John Wiley and Sons Eds., March 1993. ISBN: 0471557935
  9. Como, M. and Grimaldi, A. (1983), 'A unilateral model for limit analysis of masonry walls', In: Unilateral Problems in Structural Analysis, Ravello, 25-46
  10. Del Piero, G. (1988), 'Constitutive equations and compatibility of the extemalloads for linearly elastic masonrylike materials', J. Meccanica, 24(3), 150-162
  11. Del Piero, G. (1998), 'Limit analysis and no-tension materials', Int. J. Plasticity, 14, 259-271 https://doi.org/10.1016/S0749-6419(97)00055-7
  12. Di Pasquale, S. (1982) 'Questioni di meccanica dei solidi', Proc. 6th Nat. Conf. AIMETA, Genova, 2, 251-263
  13. Heyman, J. (1969), 'The safety of masonry arches', J. Mech. Sci., 2, 363-384
  14. Jahn, J. (1996), 'Introduction to the theory of nonlinear optimization', Springer-Verlag Berlin and Heidelberg GmbH & Co. K, September 1996
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  16. Mond, B. and Hansons, M.A. (1967), 'Duality for variational problems', J. Math. Anal. Appl., 18, 355-364 https://doi.org/10.1016/0022-247X(67)90063-7

피인용 문헌

  1. An Approach to Masonry Structural Analysis by the No-Tension Assumption—Part I: Material Modeling, Theoretical Setup, and Closed Form Solutions vol.63, pp.4, 2010, https://doi.org/10.1115/1.4002790
  2. On the statics of No-Tension masonry-like vaults and shells: solution domains, operative treatment and numerical validation vol.2, pp.2-4, 2011, https://doi.org/10.1007/s12356-011-0022-8
  3. Algorithm design of an hybrid system embedding influence of soil for dynamic vibration control vol.74, 2015, https://doi.org/10.1016/j.soildyn.2015.03.011