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

被引：27
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
[11]  
Olhoff N., Taylor J.E., Designing continuous columns for minimum total cost of material and interior supports, J. Struct. Mech., 6, pp. 367-382, (1978)
[12]  
Prager W., Rozvany G.I.N., Plastic design of beams: optimal location of supports and steps in yield moment, Int. J. Mech. Sci., 17, pp. 627-631, (1975)
[13]  
Reinitzhuber F., Das Knicken gerader Stäbe mit linear veränderlicher Längskraft im elastischen und inelastischen Bereich, Bautechnik-Archiv, 11, pp. 1-32, (1955)
[14]  
Renton J.D., Buckling of frames composed of thin-walled members, Thin-walled structures, (1967)
[15]  
Rozvany G.I.N., Analytical treatment of some extended problems in structural optimization, J. Struct. Mech., 3, pp. 359-385, (1974)
[16]  
Rozvany G.I.N., Structural design via optimality criteria, (1989)
[17]  
Rozvany G.I.N., oz Z., Column design: optimization of support conditions and segmentation, J. Struct. Mech., 5, pp. 279-290, (1977)
[18]  
Szelag D., oz Z., Optimal design of elastic beams with unspecified support conditions, ZAMM, 58, pp. 501-510, (1978)
[19]  
Szelag D., oz Z., Optimal design of vibrating beams with unspecified support reactions, Comp. Meth. Appl. Engrg., 19, pp. 333-349, (1979)
12