TECHNICAL PAPERS
Oct 15, 2009

Parametric Study on the Dynamic Instability Behavior of Laminated Composite Stiffened Plate

Publication: Journal of Engineering Mechanics
Volume 135, Issue 11

Abstract

This paper deals with the study of dynamic or parametric instability behavior of laminated composite stiffened plates with step-uniform and concentrated in-plane harmonic edge loading. The eight-noded isoparametric degenerated shell element and a compatible three-noded curved beam element are used to model the plate and the stiffeners, respectively. The method of Hill’s infinite determinant is applied to analyze the dynamic instability regions. Numerical results are presented through convergence and comparison with the published results from the literature. The effects of parameters like loading type, stiffening scheme, lamination scheme, dynamic load factor, and boundary conditions are considered in the dynamic instability analysis of laminated composite stiffened plate. It has been shown that the type of loading and the width of loading have remarkable effect on the dynamic instability characteristics of the stiffened plate.

Get full access to this article

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

References

Ahmad, S. (1970). “Analysis of thick and thin shell structures by curved finite elements.” Int. J. Numer. Methods Eng., 2, 419–451.
Aksu, G. (1982). “Free vibration of stiffened plates including the effect of in-plane inertia.” J. Appl. Mech., 49, 206–212.
Bathe, K. J. (1996). Finite element procedure, Prentice-Hall, New Delhi, India.
Bert, C. W., and Birman, V. (1987). “Dynamic instability of shear deformable antisymmetric angle-ply plates.” Int. J. Solids Struct., 23, 1053–1061.
Bolotin, V. V. (1964). The dynamic stability of elastic systems, Holden-Day, San Francisco.
Cederbaum, G. (1992). “Analysis of parametrically excited laminated shells.” Int. J. Mech. Sci., 34(3), 241–250.
Corr, R. B., and Jennings, A. (1976). “A simultaneous iteration algorithm for symmetric eigenvalue problems.” Int. J. Numer. Methods Eng., 10, 647–663.
Duffield, R. C., and Willems, N. (1972). “Parametric resonance of stiffened rectangular plates.” J. Appl. Mech., 39, 217–226.
Ferguson, G. H., and Clark, R. D. (1979). “A variable thickness curved beam and shell stiffener with shear deformation.” Int. J. Numer. Methods Eng., 14, 581–592.
Liao, C. L., and Cheng, C. R. (1994). “Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces.” J. Sound Vib., 174(3), 335–351.
Liao, C. L., and Reddy, J. N. (1990). “Analysis of anisotropic, stiffened composite laminates using a continuum-based shell element.” Compos. Struct., 34(6), 805–815.
Mermertas, M., and Belek, H. T. (1991). “Dynamic stability of radially stiffened annular plates.” Compos. Struct., 40(3), 651–657.
Merrit, R. G., and Willems, N. (1973). “Parametric resonance of skew stiffened plates.” J. Appl. Mech., 40, 439–444.
Moorthy, J., Reddy, J. N., and Plaut, R. H. (1990). “Parametric instability of laminated composite plates with transverse shear deformation.” Int. J. Solids Struct., 26, 801–811.
Mukherjee, A., and Mukhopadhyay, M. (1987). “Finite element free vibration of eccentrically stiffened plates.” Compos. Struct., 30(6), 1303–1317.
Mukhopadhyay, M. (1989). “Vibration and stability analysis of stiffened plates by semi-analytic finite difference method. Part I: Consideration of bending displacement only.” J. Sound Vib., 130(1), 27–39.
Olson, M. D., and Hazell, C. R. (1977). “Vibration studies of some integral rib-stiffened plates.” J. Sound Vib., 50, 43–61.
Panda, S. C., and Natarajan, R. (1979). “Finite element analysis of laminated composite plates.” Int. J. Numer. Methods Eng., 14, 69–79.
Patel, S. N., Datta, P. K., and Sheikh, A. H. (2006a). “Dynamic instability analysis of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading.” Struct. Eng. Mech., 22(4), 483–510.
Patel, S. N., Datta, P. K., and Sheikh, A. H. (2006b). “Buckling and dynamic instability of stiffened shell panels.” Thin-Walled Struct., 44(3), 321–333.
Rao, J. S. (1999). Dynamics of plates, Narosa Publishing House, New Delhi, India.
Sahu, S. K., and Datta, P. K. (2000). “Dynamic instability of laminated composite rectangular plates subjected to nonuniform harmonic in-plane edge loading.” Proc. Inst. Mech. Eng., Part G, 214, 295–312.
Sahu, S. K., and Datta, P. K., (2003). “Dynamic stability of laminated composite curved panels with cutouts.” J. Eng. Mech., 129(11), 1245–1253.
Srinivasan, R. S., and Chellapandi, P. (1986). “Dynamic stability of rectangular laminated composite plates.” Compos. Struct., 24, 233–238.
Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H. (2002). “Vibration and dynamic stability of stiffened plates subjected to in-plane harmonic edge loading.” Int. J. Struct. Stab. Dyn., 2(2), 185–206.
Srivastava, A. K. L., Datta, P. K., and Sheikh, A. H. (2003). “Dynamic instability of stiffened plates subjected to nonuniform in-plane edge loading.” J. Sound Vib., 262, 1171–1189.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, McGraw-Hill, Kogakusha, Tokyo.
Timoshenko, S. P., and Goodier, J. M. (1951). Theory of elasticity, McGraw-Hill Kogakusha, Tokyo.
Troitsky, M. S. (1976). Stiffened plates bending stability and vibration, Elsevier Scientific, Amsterdam, The Netherlands.
Thomas, J., and Abbas, B. H. A. (1983). “Vibration characteristics and dynamic stability of stiffened plates.” Structure, structural dynamic and material conference, Collection of technical papers Part 2, AIAA, 277–285.
Zeng, H., and Bert, C. W. (2001). “A differential quadrature analysis of vibration for rectangular stiffened plates.” J. Sound Vib., 241(2), 247–252.
Zienkiewicz, O. C. (1977). The finite element method, Tata McGraw-Hill, New Delhi, India.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 11November 2009
Pages: 1331 - 1341

History

Received: Aug 16, 2007
Accepted: Jun 23, 2009
Published online: Oct 15, 2009
Published in print: Nov 2009

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Dinar Camotim

Authors

Affiliations

S. N. Patel [email protected]
Senior Project Officer, Center of Excellence for Composite Structure Technology, Dept. of Aerospace Eng., Indian Institute of Technology, Kharagpur-721302, India (corresponding author). E-mail: [email protected]
P. K. Datta [email protected]
Professor, Dept. of Aerospace Eng., Indian Institute of Technology, Kharagpur-721302, India. E-mail: [email protected]
A. H. Sheikh [email protected]
Associate Professor, School of Civil, Environmental and Mining Eng., Univ. of Adelaide, Adelaide, South Australia 5005. 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