Application of the extended Kantorovich method to the bending of clamped cylindrical panels

European Journal of Mechanics, A/Solids

Volumn 27, Issue 3, 2008, Pages 378-388

  Alijani, Farbod ^a   Aghdam, Mohammad Mohammadi ^a   Abouhamze, Morteza ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Bending analysis; Cylindrical panel; Extended Kantorovich method

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); CLAMPING DEVICES; PROBLEM SOLVING;

BENDING ANALYSIS; CYLINDRICAL PANELS; EXTENDED KANTOROVICH METHOD;

STRUCTURAL PANELS;

EID: 41649122046     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2007.05.011     Document Type: Article

References (18)

1. Aghdam M.M., and Falahatgar S.R. Bending analysis of thick laminated plates using extended Kantorovich method. J. Comput. Struct. 62 (2003) 279-283
2. Aghdam M.M., Shakeri M., and Fariborz S.J. Solution to the Reissner plate with clamped edges. ASCE J. Eng. Mech. 122 (1996) 679-682
3. Brebbia C., and Conner J. Geometrically nonlinear finite element analysis. J. Eng. Mech. (1969) 463-483
4. Cho M., and Kim H.S. Iterative free-edge stress analysis in composite laminates under extension, bending, twisting and thermal loading. Int. J. Solids Struct. 37 (2000) 435-459
5. Fariborz S.J., and Pourbohloul A. Application of the extended Kantorovich method to the bending of variable thickness plates. J. Comput. Struct. 31 (1989) 957-965
6. Jana P., and Bhaskar K. Stability analysis of simply-supported rectangular plates under non-uniform uniaxial compression using rigorous and approximate plane stress solutions. Thin-Walled Struct. 44 (2006) 507-516
7. Jones R., and Milne B.J. Application of extended Kantorovich method to the vibration of clamped rectangular plates. J. Sound Vib. 45 (1976) 309-316
8. Kantorovich L.V., and Krylov V.I. Approximate Methods of Higher Analysis (1958), Noordhoff, Groningen
9. Kerr A.D. An extension of the Kantorovich method. Quart. Appl. Math. 26 (1968) 219-229
10. Kerr A.D. An extended Kantorovich method for the solution of eigenvalue problems. Int. J. Solids Struct. 5 (1969) 559-572
11. Kerr A.D., and Alexander H. An application of the extended Kantorovich method to the stress analysis of a clamped rectangular plate. Acta Mech. 6 (1968) 180-196
12. Kraus H. Thin Elastic Shells (1967), John Wiley & Sons, New York
13. Palazatto A.N., and Dennis S.T. Nonlinear Analysis of Shell Structures. AIAA Education Series (1992), AIAA, Washington, DC
14. Reddy J.N. Mechanics of Laminated Composite Plates and Shells Theory and Analysis (2004), CRC Press, Boca Raton, FL
15. Timoshenko S., and Woinowsky-Kreiger S. Theory of Plates and Shells (1959), McGraw-Hill, New York
16. Ungbhakorn V., and Singhatanadgid P. Buckling analysis of symmetrically laminated composite plates by the extended Kantorovich method. J. Comput. Struct. 73 (2006) 120-128
17. Wylie C.R., and Barrett L.C. Advanced Engineering Mathematics (1985), McGraw-Hill, New York
18. Yuan S., and Jin Y. Computation of elastic buckling loads of rectangular thin plates using the extended Kantorovich method. J. Comput. Struct. 66 (1998) 861-867