Compound Strip Method for Analysis of Plate Systems
Publication: Journal of Structural Engineering
Volume 112, Issue 1
Abstract
A finite strip method (FSM) is developed for the analysis of linear elastic flat plate systems that are continuous over, deflecting supports. The approach presented incorporates the effect of the support elements in a direct stiffness methodology. The stiffness contribution of the support elements have been derived and are given in the form of strip matrices, which are directly added to the plate strip stiffness matrix at the element level. This summation of plate and support stiffness contributions constitutes a substructure, which is termed a compound strip. The validity of the compound strip method is demonstrated in several illustrative problems, which include single and multipanel plates continuous over flexible and rigid beams and columns. The FSM and finite element method (FEM) compare favorably for displacement and moment.
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References
1.
Bathe, K., Wilson, E. L., and Peterson, F. E., “SAP IV, A Structural Analysis Program for Static and Dynamic Response of Linear Systems,” Report No. EERC 73‐11, Univ. of California, Berkeley, CA, 1974.
2.
Brown, T. G., and Ghali, A., “Finite Strip Analysis of Quadrilateral Plates in Bending,” Journal of the Structural Division, ASCE, Tech. Note, Vol. 104, EM2, Apr., 1978.
3.
Cheung, M. S., and Chan, M. Y. T., “Analysis of Continuous Curved Box‐Girder Bridges by the Finite Strip Method,” ASCE, Preprint 3515, Boston, Apr., 1979.
4.
Cheung, M. S., Cheung, Y. K., and Ghali, A., “Analysis of Slab and Girder Bridges by the Finite Strip Method,” Building Science, Vol. 5, 1970.
5.
Cheung, M. S., and Cheung, Y. K., “Analysis of Curved Box Girder Bridges by the Finite Strip Method,” Proceedings, International Association of Bridge and Structural Engineers, 31‐1, 1971.
6.
Cheung, M. S., and Cheung, Y. K., “Static and Dynamic Behaviour of Rectangular Plates Using Higher Order Finite Strips,” Building Science, Vol. 7, 1972.
7.
Cheung, Y. K., “Finite Strip Method Analysis of Elastic Slabs,” Journal of the Engineering Mechanics Division, ASCE, Vol. 94, No. EM6, Dec., 1968.
8.
Cheung, Y. K., “The Finite Strip Method in the Analysis of Elastic Plates with Two Opposite Supported Ends,” Proceedings, Institute of Civil Engineers, Vol. 40, 1968.
9.
Cheung, Y. K., “Analysis of Box Girder Bridges by the Finite Strip Method,” SP 26, American Conc. Institute, Detroit, MI, 1969.
10.
Cheung, Y. K., “The Analysis of Cylindrical Orthotropic Curved Bridge Decks,” Proceedings, International Association of Bridge and Structural Engineers, 29‐11, 1969.
11.
Cheung, Y. K., “Folded Plate Structures by the Finite Strip Method,” Journal of the Structural Division, ASCE, Vol. 95, ST12, Dec.,1969.
12.
Cheung, Y. K, “Orthotropic Right Bridges by the Finite Strip Method,” Publ. SP 26, American Conc. Institute, Detroit, MI, 1969.
13.
Cheung, Y. K., “Analysis of Simply Supported Thick, Layered Plates,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, EM3, June, 1971.
14.
Cheung, Y. K., “Flexural Vibrations of Rectangular and Other Polygonal Plates,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, EM2, Apr., 1971.
15.
Cheung, Y. K., and Cheung, M. S., “Free Vibration of Curved and Straight Beam‐Slab or Box Birder Bridges,” Proceedings, International Association of Bridge and Structural Engineers, 32‐11, 1972.
16.
Cheung, Y. K., Finite Strip Method in Structural Analysis, Pergamon Press, Oxford, 1976.
17.
Coull, A., and Das, P. C., “Analysis of Curved Bridge Decks,” Proceedings, Institute of Civil Engineers, Vol. 37, May, 1967.
18.
Delcourt, C., and Cheung, Y. K., “Finite Strip Analysis of Continuous Folded Plates,” Proceedings, International Association of Bridge and Structural Engineers, May, 1978.
19.
Felgar, R. P., “Formulas for Integrals Containing Characteristic Functions of Vibrating Beam,” Circular 14, Bureau of Engineering Research, Univ. of Texas, Austin, TX, 1950.
20.
Gutkowski, R. M., “The Finite Panel Method for the Elastic Analysis of Continuous Rectangular Plate Systems,” thesis presented to the Univ. of Wisconsin, at Madison, WI, in 1974, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
21.
Gutkowski, R. M., and Wang, C. K., “Continuous Plate Analysis by Finite Panel Method,” Journal of the Structural Division, ASCE, Vol. 102, No. ST3, Mar., 1976, pp. 629–643.
22.
Loo, Y. C., and Curens, A. R., “Developments of the Finite Strip Method in the Analysis of Orthotropic Plates,” Developments in Bridge Design and Construction, Crosby Lockwood, 1971.
23.
Maugh, L. C., and Pan, C. W., “Moments in Continuous Rectangular Slabs on Rigid Supports,” Transactions, ASCE, 1942, p. 1118.
24.
Mawenya, M. S., and Davies, J. D., “Finite Strip Analysis of Plate Bending including Transverse Shear Effects,” Building Science, Vol. 9, 1974.
25.
Petyt, M., “Finite Strip Analysis of Flat Skin‐Stringer Structures,” Journal of Sound Vibrations, Vol. 54, 1977.
26.
Puckett, J. A., “Compound Strip Method for the Analysis of Continuous Elastic Plates,” thesis presented to Colorado State Univ., at Ft. Collins, CO, in 1983, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
27.
Sisodiya, R. G., Ghali, A., and Cheung, Y. K., “Diaphragms in Single and Double‐Cell Box Girder Bridges with Varying Angle of Skew,” AC1 Journal, July, 1972.
28.
Smith, J. W., “Finite Strip Analysis of the Dynamic Response of Beam and Slab Highway Bridges,” Earthquake Engineering and Structural Dynamics, Vol. 1, 1973.
29.
Timoshenko, S., and Woinowsky‐Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw‐Hill, New York, NY, 1971.
30.
Wu, C. I., and Cheung, Y. K., “Frequency Analysis of Rectangular Plates Continuous in One or Two Directions,” Earthquake Engineering and Structural Dynamics, Vol. 3, 1974.
31.
Young, D., and Felgar, R. P., “Tables of Characteristic Functions Representing Normal Modes of Vibrations of a Beam,” Publication No. 4913, Univ. of Texas, Austin, TX, July, 1949.
32.
Zienkiewicz, O. C., The Finite Element Method in Engineering Science, 3rd ed., McGraw‐Hill, New York, NY, 1977.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 1 • January 1986
Pages: 121 - 138
Copyright
Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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