Stability and vibration behavior of composite cylindrical shell panels under axial compression and secondary loads

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 4, 2008, Pages 0410071-04100711

  Girish, J ^a   Ramachandra, L S ^a,b  

^a BAPATLA ENGINEERING COLLEGE   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Axial compression; Galerkin technique; Limit points; Shell panels; Stability

Indexed keywords

AXIAL COMPRESSION; DATA COMPRESSION; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; LAMINATING; LATTICE VIBRATIONS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PLATES (STRUCTURAL COMPONENTS); VIBRATIONS (MECHANICAL);

BIFURCATION POINTS; CROSS-PLY; CYLINDRICAL PANELS; CYLINDRICAL SHELLS; EDGE LOADS; EIGENVALUE PROBLEM (EVP); FREE VIBRATIONS; GALERKIN TECHNIQUE; GEOMETRIC IMPERFECTIONS; GEOMETRIC NON LINEARITIES; HIGHER ORDER; INITIAL GEOMETRIC IMPERFECTION; LAMINATED CYLINDRICAL SHELLS; LATERAL PRESSURES; LIMIT POINTS; NEWTON-RAPHSON (N-R); NON LINEAR PARTIAL DIFFERENTIAL EQUATIONS (NLPDE); NONLINEAR EQUILIBRIUM; RIKS APPROACH; SECONDARY LOADING; SECONDARY LOADS; SHELL THEORY; SIMPLY SUPPORTED; STATIC EQUILIBRIUM; STATIC RESPONSES; TEMPERATURE FIELDS; VIBRATION BEHAVIORS;

SHELLS (STRUCTURES);

EID: 47049120533     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2910772     Document Type: Article

References (17)

1. Kapania, R. K., and Yang, T. Y., 1987, "Buckling, Postbuckling, and Nonlinear Vibrations of Imperfect Plates," AIAA J., 25(10), pp. 1338-1347.
2. Kapania, R. K., and Byun, C., 1992, "Vibrations of Imperfect Laminated Panels Under Complex Preloads," Int. J. Non-Linear Mech., 27(1), pp. 51-62.
3. Yang, T. Y., and Han, A. D., 1983, "Buckled Plate Vibrations and Large Amplitude Vibrations Using High-Order Triangular Elements," AIAA J., 21(5), pp. 758-766.
4. Lee, D. M., and Lee, I., 1997, "Vibration Behaviors of Thermally Postbuckled Anisotropic Plates Using First-Order Shear Deformable Plate Theory," Comput. Struct., 63(3), pp. 371-378.
5. Illanko, S., 2002, "Vibration and Post-Buckling of In-Plane Loaded Rectangular Plates Using a Multiterm Galerkin's Method," ASME J. Appl. Mech., 69, pp. 589-592.
6. Librescu, L., Lin, W., Nemeth, M. P., and Starnes,Jr. J. H., 1996, "Frequency-Load Interaction of Geometrically Imperfect Curved Panels Subject to Heating," AIAA J., 34(1), pp. 166-177.
7. Librescu, L., Lin, W., Nemeth, M. P., and Stames, J. H., Jr., 1996, "Vibration of Geometrically Imperfect Panels Subjected to Thermal and Mechanical Loads," J. Spacecr. Rockets, 33(2), pp. 285-291.
8. Librescu, L., and Lin, W., 1997, "Vibration of Thermomechanically Loaded Flat and Curved Panels Taking Into Account Geometric Imperfections and Tangential Edge Restraints," Int. J. Solids Struct., 34(17), pp. 2161-2181.
9. Girish, J., and Ramachandra, L. S., 2005, "Thermal Postbuckled Vibrations of Symmetrically Laminated Composite Plates With Initial Geometric Imperfections," J. Sound Vib., 67(4), pp. 453-460.
10. Girish, J., and Ramachandra, L. S., 2005, "Postbuckling and Vibration Analysis of Antisymmetric Angle-Ply Composite Plates," J. Therm. Stresses, 28(11), pp. 1145-1159.
11. Shi, Y., Lee, R. Y. Y., and Mei, C., 1999, "Thermal Postbuckling Analysis of Composite Plates Using the Finite Element Modal Coordinate Method," J. Therm. Stresses, 22(6), pp. 595-614.
12. Shin, D. K., Griffin, Jr. O. H., and Gürdal, Z., 1993, "Postbuckling Response of Laminated Plates Under Uniaxial Compression," Int. J. Non-Linear Mech., 28(1), pp. 95-115.
13. Reddy, J. N., and Liu, C. F., 1985, "A Higher-Order Shear Deformation Theory of Laminated Elastic Shells," Int. J. Eng. Sci., 23(3), pp. 319-330.
14. Riks, E., 1979, "An Incremental Approach to the Solution of Snapping and Buckling Problems," Int. J. Solids Struct., 15, pp. 529-551.
15. Kraus, H., 1967, Thin Elastic Shells, Wiley, New York.
16. Soldatos, K. P., 1991, "A Refined Laminated Plate and Shell Theory With Applications," J. Sound Vib., 144(1), pp. 109-129.
17. Khdeir, A. A., Rajab, M. D., and Reddy, J. N., 1992, "Thermal Effects on the Response of Cross-Ply Laminated Shallow Shells," Int. J. Solids Struct., 29, pp. 653-667.