MINIMUM STIFFNESS OF OPTIMALLY LOCATED SUPPORTS FOR MAXIMUM VALUE OF COLUMN BUCKLING LOADS

被引：25
作者：
OLHOFF, N
AKESSON, B
机构：
[1] Institute of Mechanical Engineering, The University of Aalborg, Aalborg East
[2] Division of Solid Mechanics, Chalmers University of Technology, Gothenburg
来源：
STRUCTURAL OPTIMIZATION | 1991年 / 3卷 / 03期
关键词：
D O I：
10.1007/BF01743073
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The problem of maximizing the buckling load of Bernoulli-Euler columns, with their continuously distributed self-weight taken into account, is considered in cases where the stiffnesses and positions of discrete lateral spring supports are used as design variables. Necessary conditions for optimum support stiffness and position are derived, and they are discussed in the light of some classical results. Several numerical examples are presented.
引用
收藏
页码：163 / 175
页数：13
相关论文
共 19 条
  • [1] Akesson B., Overall buckling in bending and torsion of rack structures, Thin-walled structures, (1980)
  • [2] Akesson B., Olhoff N., Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies, J. Sound Vib., 120, pp. 457-463, (1988)
  • [3] Bendsoe M.P., Olhoff N., Taylor J.E., A variational formulation for multicriteria structural optimization, J. Struct. Mech., 11, pp. 523-544, (1983)
  • [4] Courant R., Hilbert D., Methods of mathematical physics. Volume 1, (1953)
  • [5] Garstecki A., oz Z., Optimal design of supports of elastic structures subjected to loads and initial distortions, Mech. Struct. & Mach., 15, pp. 47-68, (1987)
  • [6] Karas K., Über die Knickung gerader Stäbe durch ihr Eigengewicht, Zeitschrift für Bauwesen, 75, pp. 86-92, (1925)
  • [7] Keller J.B., Niordson F.I., The tallest column, J. Math. Mech., 16, pp. 433-446, (1966)
  • [8] oz Z., Lekszycki T., Optimal support reaction in elastic frame structures, Comp. Struct., 14, pp. 179-185, (1981)
  • [9] oz Z., Rozvany G.I.N., Optimal design of structures with variable support conditions, JOTA, 15, pp. 85-101, (1975)
  • [10] Olhoff N., Rasmussen S.H., On single and bimodal optimum buckling loads of clamped columns, Int. J. Solids Struct., 13, pp. 605-614, (1977)
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