Free Vibration Analysis and Design Aids of Stiffened Conoidal Shells
Publication: Journal of Engineering Mechanics
Volume 128, Issue 4
Abstract
The application of the finite element formulation for stiffened shell structures is proposed by the appropriate combinations of the eight-node doubly curved isoparametric shell element with the three-node isoparametric curved beam element. The accuracy of this formulation is first established by comparing it with the results of various numerical problems available in the existing literature. Then, the finite element formulation is employed to study the free vibration behavior of a clamped stiffened conoidal shell with respect to stiffener orientations (along x, y, and both x and y directions), stiffener types (concentric or eccentric), number of stiffeners, and stiffener depth to shell thickness ratio Finally, the authors propose “design aids” by introducing charts, useful to the designers, with nondimensional parameters to obtain the fundamental frequency of clamped stiffened conoidal shells of different spans, widths, and other physical dimensions commonly adopted for construction specifying clearly the range of validity in the text.
Get full access to this article
View all available purchase options and get full access to this article.
References
Accorsi, M. L., and Bennett, M. S.(1991). “A finite element based method for the analysis of free wave propagation in stiffened cylinders.” J. Sound Vib., 148(2), 279–292.
Bardell, N. S., and Mead, D. J.(1989a). “Free vibration of an orthogonally stiffened cylindrical shell, Part I: Discrete line simple supports.” J. Sound Vib., 134(1), 29–54.
Bardell, N. S., and Mead, D. J.(1989b). “Free vibration of an orthogonally stiffened cylindrical shell, Part II: Discrete general stiffeners.” J. Sound Vib., 134(1), 55–72.
Bathe, K. J. (1990). Finite element procedures in analysis, Prentice-Hall of India Private Limited, New Delhi, 672–695.
Bhimaraddi, A., Carr, A. J., and Moss, P. J.(1989). “Finite element analysis of laminated shells of revolution with laminated stiffeners.” Comput. Struct., 33(1), 295–305.
Chakravorty, D., and Bandyopadhyay, J. N.(1995). “On the free vibration of shallow shells.” J. Sound Vib., 185(4), 673–684.
Chakravorty, D., Bandyopadhyay, J. N., and Sinha, P. K.(1995). “Finite element free vibration analysis of conoidal shells.” Comput. Struct., 56(6), 975–978.
Chen, C. J., Liu, W., and Chern, S. M.(1994). “Vibration analysis of stiffened plates.” Comput. Struct., 50(4), 471–480.
Cheng, S. P., and Dade, C.(1990). “Dynamic analysis of stiffened plates and shells using spline Gauss collocation method.” Comput. Struct., 36(4), 623–629.
Choi, C. K.(1984). “A conoidal shell analysis by modified isoparametric element.” Comput. Struct., 18(5), 921–924.
Das, A. K., and Bandyopadhyay, J. N.(1993). “Theoretical and experimental studies on conoidal shells.” Comput. Struct., 49(3), 531–536.
Deb, A., and Booton, M.(1988). “Finite element models for stiffened plates under transverse loading.” Comput. Struct., 28(3), 361–372.
Ghosh, B., and Bandyopadhyay, J. N.(1989). “Bending analysis of conoidal shells using curved quadratic isoparametric shell element.” Comput. Struct., 33(3), 717–728.
Ghosh, B., and Bandyopadhyay, J. N.(1994). “Bending analysis of conoidal shells with cutouts.” Comput. Struct., 53(1), 9–18.
Harik, I. E., and Guo, M.(1993). “Finite element analysis of eccentrically stiffened plates in free vibration.” Comput. Struct., 49(6), 1007–1015.
Jiang, J., and Olson, M. D.(1994). “Vibration analysis of orthogonally stiffened cylindrical shells using super finite elements.” J. Sound Vib., 173(1), 73–83.
Langley, R. S.(1992). “A dynamic stiffness technique for the vibration analysis of stiffened shell structures.” J. Sound Vib., 156(3), 521–540.
Mead, D. J., and Bardell, N. S.(1986). “Free vibration of a thin cylindrical shell with discrete axial stiffeners.” J. Sound Vib., 111(2), 229–250.
Mead, D. J., and Bardell, N. S.(1987). “Free vibration of a thin cylindrical shell with periodic circumferential stiffeners.” J. Sound Vib., 115(3), 499–520.
Mecitoglu, Z., and Dokmeci, M. C.(1991). “Free vibrations of a thin, stiffened, cylindrical shallow shell.” AIAA J., 30(3), 848–850.
Mukherjee, A., and Mukhopadhyay, M.(1988). “Finite element free vibration of eccentrically stiffened plates.” Comput. Struct., 30(6), 1303–1317.
Mustafa, B. A. J., and Ali, R.(1987a). “Prediction of natural frequency of vibration of stiffened cylindrical shells and orthogonally stiffened curved panels.” J. Sound Vib., 113(2), 317–327.
Mustafa, B. A. J., and Ali, R.(1987b). “Free vibration analysis of multi-symmetric stiffened shells.” Comput. Struct., 27(6), 803–810.
Olson, M. D., and Hazell, C. R.(1977). “Vibration studies on some integral rib-stiffened plates.” J. Sound Vib., 50(1), 43–61.
Palani, G. S., Iyer, N. R., and Apa Rao, T. V. S. R.(1992). “An efficient finite element model for static and vibration analysis of eccentrically stiffened plates/shells.” Comput. Struct., 43(4), 651–661.
Palani, G. S., Iyer, N. R., and Apa Rao, T. V. S. R.(1993). “An efficient finite element model for static and vibration analysis of plates with arbitrarily located eccentric stiffeners.” J. Sound Vib., 166(3), 409–427.
Rao, P. S., Sinha, G., and Mukhopadhyay, M.(1993). “Vibration of submerged stiffened plates by the finite element method.” Int. Shipbuild. Progr.,40(423), 261–292.
Sinha, G., and Mukhopadhyay, M.(1994). “Finite element free vibration analysis of stiffened shells.” J. Sound Vib., 171(4), 529–548.
Sinha, G., and Mukhopadhyay, M.(1997). “Static, free and forced vibration analysis of arbitrary non-uniform shells with tapered stiffeners.” Comput. Struct., 62(5), 919–933.
Sivasubramonian, B., Rao, G. V., and Krishnan, A.(1999). “Free vibration of longitudinally stiffened curved panels with cutout.” J. Sound Vib., 226(1), 41–55.
Stanley, A. J., and Ganesan, N.(1997). “Free vibration characteristics of stiffened cylindrical shells.” Comput. Struct., 65(1), 33–45.
Zienkiewicz, O. C., Taylor, R. C., and Too, J. M.(1971). “Reduced integration technique in general analysis of plates and shells.” Int. J. Numer. Methods Eng., 3, 275–290.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 21, 2000
Accepted: Sep 25, 2001
Published online: Apr 1, 2002
Published in print: Apr 2002
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.