TECHNICAL PAPERS
May 1, 1986

Compound Strip Method for Continuous Sector Plates

Publication: Journal of Engineering Mechanics
Volume 112, Issue 5

Abstract

A finite strip method is developed for the analysis of linear elastic curved plate systems that are continuous over non‐rigid supports. This approach incorporates the effect of the support elements in a direct stiffness methodology. The stiffness contribution of the support elements are derived and given as strip stiffness matrices which are combined with the plate strip matrices at the element level prior to assembly. This summation of plate and support stiffness contributions forms a substructure which is termed a compound strip. The compound strip methodology may be used readily to enhance computer programs based on traditional finite strip procedures. The validity of the compound strip method is demonstrated in several illustrative analyses. The compound strip methodology compares favorably to the finite element method for displacement and moment.

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References

1.
ANSYS, Engineering Analysis Systems User Manuals, Swanson Analysis Systems Inc., 1983.
2.
Cheung, M. S., and Chan, M. Y. T., “Analysis of Continous Curved Box Girder Bridges By Finite Strip Methods,” ASCE, Preprint 3515, Boston, Mass., Apr., 1979.
3.
Cheung, M. S., and Chan, M. Y. T., “Static and Dynamic Analysis of Thin and Thick Sectorial Plates by the Finite Strip Method,” Computers and Structures, Vol. 14, No. 1–2, 1981, pp. 79–88.
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., “Static and Dynamic Behavior of Rectangular Plates Using Higher Order Finite Strips,” Building Science, Vol. 7, 1972.
6.
Cheung, Y. K., “Analysis of Box Girder Bridges By the Finite Strip Method,” SP26 American Concrete Institute, Detroit, Mich., 1969.
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., Finite Strip Method in Structural Analysis, Pergamon Press, Inc., New York, N.Y., 1976.
9.
Cheung, Y. K., and Cheung, M. S., “Flexural Vibrations of Rectangular and Other Polygonal Plates,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, No. EM2, Apr., 1971.
10.
Cheung, Y. K., “Folded Plate Structures by the Finite Strip Method,” Journal of the Structural Division, ASCE, Vol. 95, No. ST12, Dec., 1969.
11.
Cheung, Y. K., and Cheung, M. S., “Free Vibration of Curved and Straight Beam—Slab or Box—Girder Bridges,” Proceedings, International Association of Bridge and Structural Engineers, 29‐II, 1969.
12.
Cheung, Y. K., “Orthotropic Right Bridges by the Finite Strip Method,” Pub. SP26, American Concrete Institute, Detroit, Mich., 1969.
13.
Cheung, Y. K., “The Analysis of Cylindrical Orthotropic Curved Bridge Decks,” Proceedings, International Association of Bridge and Structural Engineers, 29‐II.
14.
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.
15.
Coull, A., and Das, P. C., “Analysis of Curved Bridge Decks,” Proceedings, Institute of Civil Engineers, Vol. 37, May, 1967.
16.
Delcourt, C., and Cheung, Y. K., “Finite Srip Analysis of Continuous Folded Plates,” Proceedings, International Association of Bridge and Structural Engineers, May, 1978.
17.
Felgar, R. P., “Formulas for Integrals Containing Characteristic Functions of Vibrating Beams,” Circular 14, Bureau of Engineering Research, Univ. of Texas, Austin, Tex., 1950.
18.
Lang, G. J., Compound Strip Analysis for the Vibrational Analysis of Curve Continuous Plates, thesis presented to the Univ. of Wyoming, at Laramie, Wyo., in 1985, in partial fulfillment of the requirements for the degree of Master of Science.
19.
Loo, Y. C., and Cusens A. R., The Finite—Strip Method in Bridge Engineering, Viewpoint Publications, 1978.
20.
Puckett, J. A., “Compound Strip Method for the Analysis of Continuous Elastic Plates,” Str. Research Report No. 48, Civil Engr. Dept., Colorado State Univ., Fort Collins, Oct., 1983.
21.
Rao, P. S., and Rao, P. S., “Continuous Folded Plates,” source unknown.
22.
Szilard, R., Theory and Analysis of Plates‐Classical and Numerical Methods, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1974.
23.
Timoshenko, S., and Woinowsky‐Krieger, S., Theory of Plates and Shells, Second Edition, McGraw Hill Book Co., Inc., New York, N.Y., 1971.
24.
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.
25.
Young, D., and Felgar, R. P., “Table of Characteristic Functions Representing Normal Models of Vibrations of a Beam,” Publication No. 4913, Univ. of Texas, Austin, Tex., July, 1949.
26.
Zienkiewicz, O. C., The Finite Element Method in Engineering Science, Third Edition, McGraw Hill Book Co., Inc., New York, N.Y., 1977.

Information & Authors

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 5May 1986
Pages: 498 - 514

History

Published online: May 1, 1986
Published in print: May 1986

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Authors

Affiliations

Jay A. Puckett, A. M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of Wyoming, Laramie, WY 82071
Greg J. Lang
Research Asst., Dept. of Civ. Engrg., Univ. of Wyoming, Laramie, WY 82071

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