TECHNICAL PAPERS
Jun 1, 1989

Finite Strip‐Elements for Thick Plate Analysis

Publication: Journal of Engineering Mechanics
Volume 115, Issue 6

Abstract

A finite strip‐element method is presented for the analysis of thick and thin plates under transverse loading. The method combines a number of advantages of both finite strips and finite elements. The formulation results in partial uncoupling of the global equations owing to orthogonality relationships of the trigonometric functions used in the displacement approximations. This enables any number of trigonometric series terms to be taken without increasing computer storage requirements. Simply supported and clamped edge conditions are exacfly satisfied, while the free edge condition is approximately satisfied as a natural boundary condition. A selective reduced integration scheme is used to avoid locking in the fhin plate limit. Three examples are considered demonstrating the accuracy and efficiency of the method.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Cheung, Y. K. (1968a). “Finite strip method in the analysis of elastic plates with two opposite simply supported ends.” Proc., Inst. Civ. Engrs., 40(5), 1–7.
2.
Cheung, Y. K. (1968b). “Finite strip method analysis of elastic slabs.” J. Engrg. Mech., ASCE, 94(6), 1365–1378.
3.
Cheung, Y. K., and Cheung, M. S. (1971). “Flexural vibrations of rectangular and other polygonal plates.” J. Engrg. Mech., ASCE, 97(2), 391–411.
4.
Dawe, D. J. (1986). “The analysis of shear‐deformable plates using finite strip elements.” Finite Element Methods for Plate and Shell Structures, Vol. 2: Formulations and Algorithms, T. J. R. Hughes and E. Hinton, eds., Pineridge Press. Swansea, U.K., 102–126.
5.
Dym, C. L., and Shames, I. H. (1973). Solid mechanics: A variational approach. McGraw‐Hill Book Co. Ltd., New York, N.Y.
6.
Golley, B. W., Grice, W. A., and Petrolito, J. (1987). “Plate bending analysis using finite strip‐elements.” J. Struct. Engrg., ASCE113(6), 1282–1296.
7.
Hinton, E., and Owen, D. J. R. (1984). Finite element software for plates and shells. Pineridge Press, Swansea, U.K.
8.
Hughes, T. J. R., Taylor, R. L., and Kanoknukulchai, W. (1977). “A simple and efficient finite element for plate bending.” Int. J. Num. Meth. Engrg., 11, 1529–1543.
9.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexural motions of isotropic elastic plates.” J. Appl. Mech., 18, 31–38.
10.
Ofiate, E., and Suarez, B. (1983). “A comparison of the linear, quadratic and cubic Mindlin strip elements for the analysis of thick and thin plates.” Comp. Struct., 17, 427–439.
11.
Timoshenko, S. P., and Woinowsky‐Krieger, S. (1959). Theory of Plates and Shells, 2nd Ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
12.
Zienkiewicz, O. C. (1977). The finite element method, McGraw‐Hill Book Co. Ltd., London, U.K.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 6June 1989
Pages: 1163 - 1182

History

Published online: Jun 1, 1989
Published in print: Jun 1989

Permissions

Request permissions for this article.

Authors

Affiliations

Joseph Petrolito
Lect., Dept. of Civ. Engrg., University College, Australian Defence Force Academy, Campbell, ACT 2600, Australia
William A. Grice
Major, Royal Australian Engrs., Canberra, ACT, Australia
Bruce W. Golley
Sr. Lect., Dept. of Civil Engrg., University College, Australian Defence Force Academy, Campbell, ACT, Australia

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share