Equilibrium problems in membrane structures with rigid and cable boundaries

被引:2
作者
Viglialoro, G. [1 ]
Murcia, J. [2 ]
机构
[1] Univ Cadiz UCA, Cadiz, Spain
[2] Inst Ciencias Construcc Eduardo Torroja CSIC, Madrid, Spain
关键词
Membrane; Footbridge; Rigid boundary; Boundary cable; Direct problem; Dual problem;
D O I
10.3989/ic.10.044
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This paper presents the equilibrium analysis of a membrane with rigid and cable boundaries for the so called prestressing phase. The idea of using membranes in Civil Engineering applications such as footbridges, a new technology being developed in Spain, implies higher structural responsibility and more accurate analysis procedure. The membrane and its boundary are respectively identified to a regular and negative gaussian curvature surface and a set of regular curves whose curvature depends on the structural elements, rigid or cable. Equilibrium is directly expressed by means of boundary differential problems, in terms of the membrane shape and its stress tensor. We must outline that membrane-cable interface equilibrium leads to take into account a singular condition that makes the problem more difficult. Therefore, starting from the equilibrium equations, two dual problems can be considered namely direct problem and dual problem. Both problems will be defined and analyzed, studying their principal qualitative aspects. Particularly, for the direct problem a numerical resolution procedure is proposed, in order to obtain practical results.
引用
收藏
页码:49 / 57
页数:9
相关论文
共 10 条
  • [1] [Anonymous], 2000, FINITE ELEMENT METHO
  • [2] [Anonymous], ELLIPTIC PARTIAL DIF
  • [3] [Anonymous], INFORM CONSTRUCCION
  • [4] Brezis H., 1983, ANALISIS FUNCIONAL T
  • [5] HORMANDER L, 1964, LINEAR PARTIAL DIFFE
  • [6] Hughes T. J. R., 2012, FINITE ELEMENT METHO
  • [7] About formfinding of double-curved structures
    Linkwitz, K
    [J]. ENGINEERING STRUCTURES, 1999, 21 (08) : 709 - 718
  • [8] Timoshenko SP, 1959, ENG SOC MONOGRAPH
  • [9] Equilibrium problems in membrane structures with rigid boundaries
    Viglialoro, G.
    Murcia, J.
    Martinez, F.
    [J]. INFORMES DE LA CONSTRUCCION, 2009, 61 (516) : 57 - 66
  • [10] Viglialoro G., 2006, THESIS U POLITECNICA