TECHNICAL PAPERS
Mar 1, 2001

Axisymmetric Buckling of Reddy Circular Plates on Pasternak Foundation

Publication: Journal of Engineering Mechanics
Volume 127, Issue 3

Abstract

Presented herein are the exact axisymmetric buckling solutions of Reddy circular plates on the Pasternak foundation and subjected to a uniform radial load. The boundary conditions of the circular plates covered in this study are (1) simply supported edges; (2) clamped edges; and (3) simply supported edges with elastic rotational restraints. The Reddy buckling solutions are expressed in terms of the corresponding well-known Kirchhoff buckling solutions of circular plates without the elastic foundation. Sample buckling results of Reddy plates are also presented, which should be useful as benchmark solutions for testing numerical solutions and techniques.

Get full access to this article

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

References

1.
Dumir, P. C. ( 1988). “Large deflection axisymmetric analysis of orthotropic annular plates on elastic foundations.” Int. J. Solids and Struct., 24, 777–787.
2.
Irschik, H. ( 1985). “Membrane-type eigenmotions of Mindlin plates.” Acta Mechanica, 55, 1–20.
3.
Kerr, A. D. ( 1962). “On the instability of circular plates.” J. Aero. Sci. (Readers' Forum), 29(4), 486–487.
4.
Mindlin, R. D. ( 1951). “Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates.” J. Appl. Mech., 18, 1031–1036.
5.
Nosier, A., and Reddy, J. N. ( 1992). “On boundary layer and interior equations for higher-order theories of plates.” Z. Angew. Math. Mech., 72, 657–666.
6.
Pasternak, P. L. ( 1954). “On a new method of analysis of an elastic foundation by means of two foundation constants.” Gos. Izd. Lit. po Strait I Arkh, Moscow.
7.
Reddy, J. N. ( 1984). “A simple higher-order theory for laminated composite plates.” J. Appl. Mech., 51, 745–752.
8.
Reddy, J. N. ( 1997). Mechanics of laminated composite plates: Theory and analysis, CRC, Boca Raton, Fla.
9.
Reismann, H. ( 1952). “Bending and buckling of an elastically restrained circular plate.” J. Appl. Mech., 167–172.
10.
Smaill, J. S. ( 1991). “Large deflection response of annular plates on Pasternak founations.” Int. J. Solids and Struct., 27(8), 1073–1084.
11.
Spiegel, M. R. ( 1999). Mathematical handbook of formulas and tables, Int. Ed., Schaum's Outline Ser., McGraw-Hill, Singapore.
12.
Wang, C. M. ( 1994). “Natural frequencies formula for simply supported Mindlin plates.” J. Vibration and Acoustics, 116(4), 536–540.
13.
Wang, C. M. ( 1995a). “Buckling of polygonal and circular sandwich plates.” AIAA J., 33(5), 962–964.
14.
Wang, C. M. ( 1995b). “Allowance for prebuckling deformations in buckling load relationship between Mindlin and Kirchhoff simply supported plates of general polygonal shape.” Engrg. Struct., 17(6), 413–418.
15.
Wang, C. M. ( 1996). “Vibration frequencies of simply supported polygonal sandwich plates via Kirchhoff solutions.” Sound and Vibration, 190(2), 255–260.
16.
Wang, C. M. ( 1997). “Relationships between Mindlin and Kirchhoff bending solutions for tapered circular and annular plates.” Engrg. Struct., 19(3), 255–258.
17.
Wang, C. M., and Alwis, W. A. M. (1995). “Simply supported polygonal Mindlin plate deflections using Kirchhoff plates.”J. Engrg. Mech., ASCE, 121(12), 1383–1385.
18.
Wang, C. M., and Lee, K. H. ( 1996). “Deflection and stress-resultants of axisymmetric Mindlin plates in terms of corresponding Kirchhoff solutions.” Int. J. Mech. Sci., 38(11), 1179–1185.
19.
Wang, C. M., and Reddy, J. N. ( 1997). “Buckling load relationship between Reddy and Kirchhoff plates of polygonal shape with simply supported edges.” Mech. Res. Comm., 24(1), 103–108.
20.
Wang, C. M., Reddy, J. N., and Lee, K. H. ( 2000). Shear deformable beams and plates: Relationships with classical solutions, Elsevier, Oxford, England.
21.
Wang, Q. S., He, B. C., and Wang, D. J. ( 1992). “Dynamic quantitative characteristics of discrete model of second order continuous system.” Vibration and Shock, 3, 7–12.
22.
Wang, Q. S., and Wang, D. J. ( 1991). “General proof for qualitative characteristics of continuous and discrete beam system.” Acta Mechanica Sinica, 1, 99–102.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 3March 2001
Pages: 254 - 259

History

Received: Apr 11, 2000
Published online: Mar 1, 2001
Published in print: Mar 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Members, ASCE
Assoc. Prof., Dept. of Civ. Engrg. Dept., Nat. Univ. of Singapore, Singapore 119260. E-mail: [email protected]
Sr. Lect., School of Civ. Engrg. and Environment, Univ. of Western Sydney Nepean, Kingswood, Australia 2747. E-mail: [email protected]
Asst. Prof., Dept. of Civ. Engrg. Dept., Nat. Univ. of Singapore, Singapore 119260. E-mail: [email protected]

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