Limits - A system for limit state analysis and optimal material layout

被引:15
作者
Damkilde, L [1 ]
Krenk, S [1 ]
机构
[1] LUND INST TECHNOL,DIV MECH,S-22100 LUND,SWEDEN
关键词
D O I
10.1016/S0045-7949(96)00160-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A system LimitS for limit state analysis and material optimization has been developed and implemented in a PC environment. The program is formulated in a general finite element format with stress-based elements. The solution method is based on the lower-bound theorem; where an optimal stress distribution or an optimal material layout is determined. Through linearization of the yield criteria the optimization problem is stated as a linear programming problem. Within the formulation of the discretized model the optimal lower-bound solution is shown to be an upper-bound solution, and thereby both the statics and kinematics of the collapse mode are determined via the dual variables of the LP-problem. In LimitS the following element types are implemented: two- and three-dimensional beam elements; truss elements; triangular slab elements; and shear and stringer elements for plates with in-plane loading. Examples of all three problem types are given including both limit state analysis and material optimization. (C) 1997 Civil-Comp Ltd and Elsevier Science Ltd.
引用
收藏
页码:709 / 718
页数:10
相关论文
共 12 条
  • [1] ANDERHEGGEN E, 1972, INT J SOLIDS STRUCT, V8, P1713
  • [2] AN EFFICIENT IMPLEMENTATION OF LIMIT STATE CALCULATIONS BASED ON LOWER-BOUND SOLUTIONS
    DAMKILDE, L
    HOYER, O
    [J]. COMPUTERS & STRUCTURES, 1993, 49 (06) : 953 - 962
  • [3] A DIRECT LINEAR-PROGRAMMING SOLVER IN C FOR STRUCTURAL APPLICATIONS
    DAMKILDE, L
    HOYER, O
    KRENK, S
    [J]. COMPUTERS & STRUCTURES, 1994, 52 (03) : 511 - 528
  • [4] Damkilde L., 1994, BYGNINGSSTATISKE MED, V65, P1
  • [5] GRIERSON DE, 1971, ASCE, V97, P1561
  • [6] Johnson D, 1994, STRUCT ENG, V72, P323
  • [7] JOHNSON D, 1994, COMMUNICATION
  • [8] LIMIT ANALYSIS AND OPTIMAL-DESIGN OF PLATES WITH EQUILIBRIUM ELEMENTS
    KRENK, S
    DAMKILDE, L
    HOYER, O
    [J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 1994, 120 (06): : 1237 - 1254
  • [9] Luenberger D.G., 1989, LINEAR NONLINEAR PRO
  • [10] NIELSEN MP, 1984, LIMIT ANAL CONCRETEP