Optimal Design of Planar Frames Based on Stability Criterion
Publication: Journal of Structural Engineering
Volume 117, Issue 3
Abstract
This paper suggests an optimization‐based design methodology for improving the strength and overall stability of framed structures, the capacities of which are governed by inelastic limit‐load behavior. The optimization objective function, comprising the dominant linearized buckling eigenvalue of the structure weighted by a frequency‐dependent penalty function, is motivated by a simple model of nonlinear frame behavior. Designs are constrained to have constant weight. The method requires only the linearized buckling eigenvalues and eigenvectors of the structure, avoiding computationally intensive nonlinear structural analyses in the design cycle. An iterative optimality‐criteria method is used to solve the optimization problem. Several examples are given to examine the performance of the procedure, both in terms of robustness of the numerical algorithm and the quality of the designs it produces. By way of example, it is shown that by improving the overall stability characteristics of a structure under static loading, the dynamic performance of the structure is often improved.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Allwood, R. J., and Chung, Y. S. (1984). “Minimum‐weight design of trusses by an optimality criteria method.” Int. J. Numer. Methods Engrg., 20(4), 697–713.
2.
Berke, L. (1970). “An efficient approach to the minimum weight design of deflection limited structures.” Report No. AFFDL‐TM‐70‐4‐FDTR, U.S. Air Force Flight Dynamics Lab., Wright‐Patterson Air Force Base, Ohio.
3.
Brown, D. M., and Ang, A. H.‐S. (1966). “Structural optimization by nonlinear programming.” J. Struct. Div., ASCE, 92(6), 319–340.
4.
Gellaty, R. A., and Berke, L. (1971). “Optimal structural design.” Report No. AFFDL‐TR‐70‐165, U.S. Air Force Flight Dynamics Lab., Wright‐Patterson Air Force Base, Ohio.
5.
Hjelmstad, K. D., and Pezeshk, S. (1988). “Approximate analysis of post‐limit response of frames.” J. Struct. Engrg., ASCE, 114(2), 314–331.
6.
Hjelmstad, K. D., and Pezeshk, S. (1991). “Optimal design of frames to resist buckling under multiple load cases.” J. Struct. Engrg., ASCE, 117(3), 914–935.
7.
Khot, N. S. (1981). “Optimality criteria methods in structural optimization.” Report No. AFWAL‐TR‐81‐3124, U.S. Air Force Flight Dynamics Lab., Wright‐Patterson Air Force Base, Ohio.
8.
Khot, N. S., Venkayya, V. B., and Berke, L. (1973). “Optimization of structures for strength and stability requirements.” Report No. AFFDL‐TR‐73‐98, U.S. Air Force Flight Dynamics Laboratory, Wright‐Patterson Air Force Base, Ohio.
9.
Khot, N. S., Venkayya, V. B., and Berke, L. (1976). “Optimum structural design with stability constraints.” Int. J. Numer. Methods Engrg., 10(5), 1097–1114.
10.
Korn, A., and Galambos, T. V. (1968). “Behavior of elastic‐plastic frames.” J. Struct. Div., ASCE, 94(5), 1119–1142.
11.
Liebman, J. S., Khachaturian, N., and Chanaratna, V. (1981). “Discrete structural optimization.” J. Struct. Div., ASCE, 107(11), 2177–2197.
12.
Manual of Steel Construction. (1980). 8th Ed., Amer. Inst. of Steel Constr. (AISC), Chicago, Ill.
13.
No, M., and Aguinagalde, J. M. (1987). “Finite element method and optimality criterion based structural optimization.” Comput. Struct., 27(2), 287–295.
14.
Neal, B. G. (1977). The plastic methods of structural analysis. Chapman and Hall, London, England.
15.
Pezeshk, S., and Hjelmstad, K. D. (1989). “Optimal design of nonlinear framed structures under multiple loading conditions based on a stability criterion.” Report No. SRS‐547, Univ. of Illinois, Urbana, Ill.
16.
Simo, J. C., Hjelmstad, K. D., and Taylor, R. L. (1984). “Numerical formulations of elasto‐viscoplastic response of beams accounting for the effect of shear.” Comput. Methods Appl. Mech. Engrg., 42(3), 301–330.
17.
Uniform Building Code. (1985). Int. Conf. of Building Officials, Whittier, Calif.
18.
Venkayya, V. B., Khot, N. S., and Berke, L. (1973). “Application of optimality criteria approaches to automated design of large practical structures.” 2nd Symp. on Struct. Optimization (AGARD Conf. Proc. No. 123), Milan, Italy, April 1973.
19.
Walker, N. D., Jr. (1977). “Automated design of earthquake resistant multistory steel building frames.” Report No. UBC/SESM‐77/12, Univ. of Calif., Berkeley, Calif.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Mar 1, 1991
Published in print: Mar 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.