Nonlinear Vibration Analysis of Steel Frames with Semirigid Connections
Publication: Journal of Structural Engineering
Volume 120, Issue 4
Abstract
To obtain an accurate insight into the behavior of most realistic steel frames, joint flexibility should be allowed for in the analysis. So far, most research work is concentrated on the linear and nonlinear static analysis of steel frames with flexible connections. Very few papers were contributed to the dynamic and vibration analysis of these types of frames. This paper proposes a numerical method for linear and nonlinear vibration analysis of frames with semirigid connections. The special features about this method are the derivation and the use of a shape function with end springs to formulate the element matrices. The effects of initial stress and of the change of joint stiffness due to the applied load are accounted for in the suggested method, which is believed to be more general than the existing methods for vibration analysis of flexibly connected steel frames.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Al‐Bermani, F. G. A., and Kitipornchai, S. (1988). “Nonlinear analysis of thin‐walled structures using one element per member,” Res. Rept. No. CE97, Dept. of Civ. Engineering, Queensland University, Australia.
2.
Bathe, K. J., and Bolourchi, S. (1979). “Large displacement analysis of three‐dimensional beam structures.” Int. J. Numer. Method in Engrg., 14, 961–986.
3.
Batoz, L. J., and Dhatt, G. (1979). “Incremental displacement algorithms for nonlinear problems.” Int. J. Numer. Methods in Engrg., 14, 1262–1267.
4.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam‐columns and frames using the minimum residual displacement method.” Int. J. Numer. Methods in Engrg., 26, 2657–2699.
5.
Chan, S. L. (1989). “Inelastic post‐buckling analysis of tubular beam‐columns and frames.” Engrg. Struct., 110, 23–30.
6.
Chan, S. L., and Kitipornchai, S. (1986). “Geometric nonlinear analysis of asymmetric thin‐walled beam‐columns.” Engrg. Struct., 9(Oct.), 243–254.
7.
Crisfield, M. A. (1981). “A fast incremental/iterative solution procedure that handle ‘snap‐through.’” Comp. Struct., 13, 55–62.
8.
Gaiotti, R., and Smith, B. S. (1989). “P‐delta analysis of building structures.” J. Struct. Engrg., ASCE, 115(4), 755–770.
9.
Goto, Y., and Chen, W. F. (1987). “On the computer‐based design analysis for the flexibly jointed frames.” J. Const. Steel Res., 8, 203–231.
10.
Ho, W. M. G., and Chan, S. L. (1991). “Semibifurcation and bifurcation analysis of flexibly connected steel frames.” J. Struct. Engrg., ASCE, 117(8), 2298–2318.
11.
Ho, W. M. G., and Chan, S. L. (1993). “An accurate and efficient method for large deflection analysis of frames with semi‐rigid connections.” J. Constr. Steel Res., 26, 171–191.
12.
Kawashima, S., and Fujimoto, T. (1984). “Vibration analysis of frames with semi‐rigid connections.” Comp. Struct., 19, 85–92.
13.
Lui, E. M., and Chen, W. F. (1988). “Behavior of braced and unbraced semi‐rigid frames.” Int. J. Solids Struct., 24(9), 893–913.
14.
Lui, E. M., and Chen, W. F. (1987a). “Effects of joint flexibility on the behavior of steel frames.” Comp. Struct., 26(5), 719–732.
15.
Lui, E. M., and Chen, W. F. (1987b). “Steel frame analysis with flexible joints.” J. Constr. Steel Res., 8, 161–202.
16.
Meek, J. L., and Tan, H. S. (1984). “Geometrically nonlinear analysis of space frames by an iterative incremental technique.” Comp. Methods Appl. Mech. Engrg., 47, 261–282.
17.
Narayanan, R. (1989). Structural connections: stability and strength, Elsevier Science Publishers Ltd., London, U.K.
18.
Nee, K. M., and Haldar, A. (1988). “Elastoplastic nonlinear post‐buckling analysis of partially restrained space structures.” Comp. Methods in Appl. Mech. Engrg., 71, 69–97.
19.
Oran, C. (1973). “Tangent stiffness in space frames.” J. Struct. Div., ASCE, 99(6), 987–1001.
20.
Paz, M. (1980). Structural dynamics: theory and computation, VanNostrand Reinhold Ltd., Canada.
21.
Pogg, C. (1988). “A finite element model for the analysis of flexibility connected steel frames.” Int. J. Numer. Methods Engrg., 26, 2239–2254.
22.
Shi, G., and Atluri, S. N. (1989). “Static and dynamic analysis of space frames with nonlinear flexible connections.” Int. J. Numer. Methods Engrg., 28, 2635–2650.
23.
So, A. K. W., and Chan, S. L. (1991). “Buckling analysis of frames using one element/member.” J. Constr. Steel Res., 20, 271–289.
24.
Yang, Y. B., and McGuire, W. (1985). “A work control method for geometrically nonlinear analysis.” Proc. NUMETA '85 Conf., Elsevier Science Publishers Ltd., London, England, 913–921.
25.
Yu, C. H., and Shanmugam, N. E. (1986). “Stability of frames with semi‐rigid joints.” Comp. Struct., 23(5), 639–648.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 120 • Issue 4 • April 1994
Pages: 1075 - 1087
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jun 20, 1991
Published online: Apr 1, 1994
Published in print: Apr 1994
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.