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Analysis of an Orthotropic Plate by Maclaurin's Series

Published online by Cambridge University Press:  04 July 2016

N. R. Rajappa  and
D. V. Reddy
N. R. Rajappa
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology, Madras, India
D. V. Reddy
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology, Madras, India
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Extract

A method is presented for the analysis of a simply-supported rectangular orthotropic plate subjected to a uniformly distributed load by the application of Maclaurin's series. The solutions have practical applications in the design of interconnected beam systems because of the elastic equivalence of the grid framework to an orthotropic plate.

The application of Maclaurin's series to the analysis of beams in bending was first described by Hetényi. Recently Reddy and Gangadharan described a modified approach for beams with stepped variations in cross section. Ballesteros has extended the method to functions of two variables in the analysis of isotropic plates in bending.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 67 , Issue 626 , February 1963 , pp. 126 - 127
Copyright
Copyright © Royal Aeronautical Society 1963

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References

1.Hetényi, M. (1952). Application of Maclaurin Series to the Analysis of Beams in Bending. Journal of the Franklin Institute, Vol. 254, pp. 369–380, 1952.CrossRefGoogle Scholar
2.Reddy, D. V. and Gangadharan, A. C. (1962). Hetériyi's Method of Initial Conditions for the Analysis of Beams. The Indian Concrete Journal, Vol. 36, pp. 245–248, 1962.Google Scholar
3.Ballesteros, P. (1958). The Application of Maclaurin's Series for Functions of One or Two Variables to the Analysis of Plates in Bending, Ph.D. Thesis, Northwestern University, Evanston, Illinois, 1958.Google Scholar