Free Vibration Analysis of Laminated Stiffened Shells
Publication: Journal of Engineering Mechanics
Volume 131, Issue 1
Abstract
The free vibration of the laminated composite anticlastic doubly curved stiffened shells is investigated using the finite element method. The stiffened shell element is obtained by appropriate combination of the nine-node doubly curved isoparametric thin shallow shell element with the three-node curved isoparametric beam element. The shell forms include the hyperbolic paraboloid, hypar, and conoidal shells. The accuracy of the formulation is validated by comparing the authors’ results of specific problems with those available in the literature. The additional problems are taken up for parametric studies to include the effects of fiber orientation and lamina stacking sequence of shells and stiffeners. Moreover, the effects of number, types, and orientations of stiffeners, and stiffener depth to shell thickness ratio on the fundamental frequency are also included in the present study. Further, mode shapes corresponding to the fundamental frequency for typical cases are obtained to verify the parametric trend of the results of the fundamental frequency.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chakravorty, D., Sinha, P. K., and Bandyopadhyay, J. N. (1998). “Applications of FEM on free and forced vibration of laminated shells.” J. Eng. Mech., 124(1), 1–8.
Chandrashekhara, K., and Kolli, M. (1997). “Free vibration of eccentrically stiffened laminated plates.” J. Reinf. Plast. Compos., 16(10), 884–902.
Chattopadhyay, B., Sinha, P. K., and Mukhopadhyay, M. (1992). “Finite element free vibration analysis of eccentrically stiffened composite plates.” J. Reinf. Plast. Compos., 11(9), 1003–1034.
Goswami, S., and Mukhopadhyay, M. (1995). “Geometrically nonlinear transient dynamic response of laminated composite stiffened shells.” J. Reinf. Plast. Compos., 14(6), 618–640.
Lee, Y. S., and Kim, Y. W. (1998). “Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners.” Comput. Struct., 69, 271–281.
Narita, Y., and Nitta, T. (1998). “Optimal design by using various solutions for vibration of laminated shallow shells on shear diaphragms.” J. Sound Vib., 214(2), 227–244.
Nayak, A. N., and Bandyopadhyay, J. N. (2002a). “Free vibration analysis and design aids of stiffened conoidal shells.” J. Eng. Mech., 128(4), 419–427.
Nayak, A. N., and Bandyopadhyay, J. N. (2002b). “On the free vibrations of stiffened shallow shells” J. Sound Vib., 255(2), 357–382.
Prusty, B. G., and Satsangi, S. K. (2001). “Finite element transient dynamic analysis of laminated stiffened shells.” J. Sound Vib., 248(2), 215–233.
Routolo, R. (2001). “A comparison of some thin shell theories used for the dynamic analysis of stiffened cylinders.” J. Sound Vib., 243(5), 847–860.
Numerically integrated elements for system analysis verification manual (NISA). (1992). Engineering Mechanics Research Corporation, Troy, Mich.
Information & Authors
Information
Published In
Copyright
© 2004 ASCE.
History
Received: Mar 12, 2002
Accepted: Jun 29, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
Notes
Note. Associate Editor: Francisco Armero
Authors
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.