Vibration Analysis of Grid-Stiffened Circular Cylindrical Shells with Full Free Edges

Jam, J.; Zadeh, M.; Taghavian, H.; Eftari, B.

doi:10.2478/v10012-011-0022-y

Abstract

Free vibration of grid stiffened circular cylindrical shells is investigated based on the first Love's approximation theory using Galerkin method. Full free edges are considered for boundary conditions. An equivalent stiffness model (ESM) is used to develop the analytical solution of the grid stiffened circular cylindrical shell. The effect of helical stiffeners orientation and some of the geometric parameters of the structure have been shown. The accuracy of the analysis has been examined by comparing results with those available in the literature and finite element approach.

References

Helms J. E., Li G., Smith B. H.: Analysis of grid stiffened cylinders, ASME/ETCE, USA, 2001.10.1115/ETCE2001-17020
Search in Google Scholar
Navin J., Norman F. K., Damodar R.: Formulation of an improved smeared stiffener theory of buckling analysis of grid-stiffened composite panels, NASA Technical Memorandum 110162, USA, 1995.
Search in Google Scholar
Phillips J. L., Gurdal Z.: Structural analysis and optimum design of geodesically stiffened composite panels, Report NASA CCMS-90-50 (VPI-E-90-08), Grant NAG-1-643, USA, 1990.
Search in Google Scholar
Brush D. O., Almroth B. O.: Buckling of bars, plates, and shells, McGraw-Hill, New York, 1975.10.1115/1.3423755
Search in Google Scholar
Bruhn E. F.: Analysis and design of flight vehicle structures, Jacobs Publishing, Carmel, 1973.
Search in Google Scholar
Ramm E.: Buckling of shells, Springer, Berlin, 1982.10.1007/978-3-642-49334-8
Search in Google Scholar
Gerdon G., Gurdal Z.: Optimal design of geodesically stiffened composite cylindrical shells, Journal of AIAA, 23(11) (1985), 1753-61.10.2514/3.9162
Search in Google Scholar
Troisky M. S.: Stiffened plates, bending, stability and vibration, Elsevier, Amsterdam, 1976.
Search in Google Scholar
B. A. J. Mustafa and R. Ali: An energy method for free vibration analysis of stiffened circular cylindrical shells, Computers and Structures 32 (1989), 355-363.10.1016/0045-7949(89)90047-3
Search in Google Scholar
B. Yang and J. Zhou: Analysis of ring-stiffened cylindrical shells, Journal of Applied Mechanics 62 (1995), 1005-1014.10.1115/1.2896036
Search in Google Scholar
Y. S. Lee and Y. W. Kim: Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners, Computers and Structures, 69 (1998), 271-281.10.1016/S0045-7949(97)00047-3
Search in Google Scholar
Y. S. LEE and Y. W. KIM: Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners, Advanced in Engineering Software 30 (1999), 649-655.10.1016/S0965-9978(98)00115-X
Search in Google Scholar
M. Wang, S. Swaddiwudhipong and J. Tian: Ritz method for vibration analysis of cylindrical shells with ring stiffeners, Journal of Engineering Mechanics 123 (1997), 134-142.10.1061/(ASCE)0733-9399(1997)123:2(134)
Search in Google Scholar
D. M. Egle, J. L. Sewall: An analysis of the free vibration of orthogonally stiffened cylindrical shells with stiffener separated as discrete elements, AIAA Journal 3 (1968), 518 ± 26.10.2514/3.4528
Search in Google Scholar
S. A. Rinehart, J. T. S Wang: Vibration of Simply Supported Cylindrical Shells with Longitudinal Stiffeners, Journal of Sound and Vibration 24 (1972), 151-163.10.1016/0022-460X(72)90945-5
Search in Google Scholar
Samuel Kidane, Guoqiang Li, Jack Helms, Su-Seng Pang, Eyassu Woldesenbet: Buckling Load Analysis of Grid Stiffened Composite Cylinders, Journal of Composites, PartB 34 (2003), 1-9.10.1016/S1359-8368(02)00074-4
Search in Google Scholar
Arthur Leissa: Vibration of Shells. Columbus, Acoustical Society of America, Ohio, 1993.
Search in Google Scholar
Hassan Mahfuz: Final Report on Innovative Manufacturing and Structural Analysis of Composite Isogrid Structures for Space Applications, AFRL-SR-AR-TR-04, USA, 2004.
Search in Google Scholar
M. M. Najafizadeh, M. R. Isvandzibaei: Vibration of Functionally Graded Cylindrical Shells Based on Higher Order Shear Deformation Plate Theory With ring Support, Acta Mech Journal, 191 (2007), 75-91.10.1007/s00707-006-0438-0
Search in Google Scholar

Vibration Analysis of Grid-Stiffened Circular Cylindrical Shells with Full Free Edges

Abstract

Paradigm

My account