Structural Engineering and Mechanics

  • 제10권2호
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  • Pages.181-195
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  • 2000
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Collapse behaviour of three-dimensional brick-block systems using non-linear programming

  • Baggio, Carlo (Dipartimento di Progettazione e Scienze dell'Architettura, Universita di Roma Tre) ;
  • Trovalusci, Patrizia (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Roma "La Sapienza")
  • 발행 : 2000.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

A two-step procedure for the application of non linear constrained programming to the limit analysis of rigid brick-block systems with no-tension and frictional interface is implemented and applied to various masonry structures. In the first step, a linear problem of programming, obtained by applying the upper bound theorem of limit analysis to systems of blocks interacting through no-tension and dilatant interfaces, is solved. The solution of this linear program is then employed as initial guess for a non linear and non convex problem of programming, obtained applying both the 'mechanism' and the 'equilibrium' approaches to the same block system with no-tension and frictional interfaces. The optimiser used is based on the sequential quadratic programming. The gradients of the constraints required are provided directly in symbolic form. In this way the program easily converges to the optimal solution even for systems with many degrees of freedom. Various numerical analyses showed that the procedure allows a reliable investigation of the ultimate behaviour of jointed structures, such as stone masonry structures, under statical load conditions.

키워드

참고문헌

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