WEIGHT OPTIMIZATION FOR FLEXURAL REINFORCED-CONCRETE BEAMS WITH STATIC NONLINEAR RESPONSE

被引:3
作者
CHUNG, TT
SUN, TC
机构
[1] Department of Mechanical Engineering, National Taiwan University, Taipei, 10617, No. 1, Roosevelt Road
来源
STRUCTURAL OPTIMIZATION | 1994年 / 8卷 / 2-3期
关键词
D O I
10.1007/BF01743315
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The weight optimization of reinforced concrete (RC) beams with material nonlinear response is formulated as a general nonlinear optimization problem. Incremental finite element procedures are used to integrate the structural response analysis and design sensitivity analysis in a consistent manner. In the finite element discretization, the concerete is modelled by plane stress elements and steel reinforcement is modelled by discrete truss elements. The cross-sectional areas of the steel and the thickness of the concrete are chosen as design variables, and design costraints can include the displacement, stress and sizing constraints. The objective function is the weight of the RC beams. The optimal design is performed by using the sequential linear programming algorithm for the changing process of design variables, and the gradient projection method for the calculations of the search direction. Three example problems are considered. The first two are demonstrated to show the stability and accuracy of the approaches by comparing previous results for truss and plane stress elements, separately. The last one is an example of an RC beam. Comparative cost objective functions are presented to prove the validity of the approach.
引用
收藏
页码:174 / 180
页数:7
相关论文
共 20 条
[1]  
Arora J.S., Cardoso J.B., A design sensitivity analysis principle and its implementation into ADINA, Comput. & Struct., 32, pp. 691-705, (1989)
[2]  
Arora J.S., Haug E.J., Methods of design sensitivity analysis in structural optimization, AIAA J., 17, pp. 970-974, (1979)
[3]  
Finite element analysis of reinforced concrete structures, (1986)
[4]  
Bathe K.J., Finite element procedures in engineering analysis, (1982)
[5]  
Bathe K.J., Cimento A.P., Some practical procedures for the solution of nonlinear finite element equations, Comp. Meth. Appl. Mech. Engng., 22, pp. 59-85, (1980)
[6]  
Bathe K.J., Ramaswamy S., On three-dimensional nonlinear analysis of concrete structures, Nucl. Eng. Des., 52, pp. 385-409, (1979)
[7]  
Bosco C., Carpinteri A., Debernardi P.G., Minimum reinforcement in high-strength concrete, ASCE J. Struct. Engng., 116, pp. 427-437, (1990)
[8]  
Ezeldin A.S., Optimum design of reinforced fiber concrete subjected to bending and geometrical constraints, Comp. Struct., 41, pp. 1095-1100, (1991)
[9]  
Grierson D.E., Moharrami H., Design optimization of reinforced concrete building frameworks, Optimization of large structural systems, pp. 833-842, (1993)
[10]  
Haftka R.T., oz Z., First- and second-order sensitivity analysis of linear and nonlinear structures, AIAA J., 24, pp. 1187-1192, (1986)