Non-linear dynamic stability analysis of composite laminates under periodic in-plane compressive loads

International Journal for Numerical Methods in Engineering

Volumn 46, Issue 6, 1999, Pages 943-956

  Ganapathi, M ^a   Boisse, P ^b   Solaut, D ^b  

^a DEFENCE INSTITUTE OF ADVANCED TECHNOLOGY   (India)

^b UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

Beats; Composite plates; Dynamic instability; Finite element; Non linear

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE STRUCTURES; COMPRESSIVE STRESS; DYNAMIC LOADS; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; INTEGRATION; ITERATIVE METHODS; KINEMATICS; LAMINATED COMPOSITES; NONLINEAR EQUATIONS; STRUCTURAL ANALYSIS;

NEWMARK DIRECT INTEGRATION METHOD; NEWTON-RAPHSON ITERATION METHOD;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032684373     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19991030)46:6<943::AID-NME732>3.0.CO;2-L     Document Type: Article

References (26)

1. Bolotin VV. The Dynamic Stability of Elastic Systems. Holden-day: San Francisco, 1964.
2. Birman V. Dynamic stability of unsymmetrically laminated rectangular plates. Mechanical Research Communication 1985; 12:81-86.
3. Srinivasan RS, Chellapandi P. Dynamic stability of rectangular laminated composite plates. Computers and Structures 1986; 24:233-238.
4. Bert CW, Birman V. Dynamic stability of shear deformable antisymmetric angle-ply plates. International Journal of Solids and Structures 1987; 23:1053-1061.
5. Moorthy J, Reddy JN. Parametric Instability of laminated composite plates with transverse shear deformation. International Journal of Solids and Structures 1990; 26:801-811.
6. Chen LW, Yang JY. Dynamic stability of laminated composite plates by the finite element method. Computers and Structures 1990; 36:845-851.
7. Ganapathi M, Varadan TK, Balamurugan V. Dynamic instability of laminated composite curved panels using finite element method. Computers and Structures 1994; 53:335-342.
8. Bert CW, Birman V. Parametric instability of thick, orthotropic, circular cylindrical shells. Acta Mechanica 1988; 71:61-76.
9. Ganapathi M, Balamurugan V. Dynamic instability analysis of a laminated composite circular cylindrical shell. Computers and Structures 1998; 69:181-189.
10. Ng TY, Lam KY, Reddy JN. Dynamic stability of cross-ply laminated composite cylindrical shells. International Journal of Mechanical Sciences 1998; 40:805-823.
11. Balamurugan V, Ganapathi M, Varadan TK. Nonlinear dynamic instability of laminated composite plates using finite element method. Computers and Structures 1996; 60:125-130.
12. Tylikowski A. Dynamic stability of non-linear antisymmetrically laminated angle-ply plates. International Journal of Non-linear Mechanics 1993; 28:291-300.
13. Birman V, Bert CW. Nonlinear parametric instability of antisymmetrically laminated angle-ply plates. Dynamics and Stability of System 1988; 3:57-68.
14. Touratier M. An efficient standard plate theory. International Journal of Engineering Science 1991; 29:901-916.
15. Beakou A, Touratier M. A rectangular plate finite element for analysing composite multilayered shallow shell in statics, vibration and buckling. International Journal for Numerical Methods in Engineering 1993; 36:627-653.
16. Jones RM. Mechanics of Composite Materials. McGraw-Hill: New York, 1975.
17. Rajasekaran S, Murray DW. Incremental finite element matrices. ASCE Journal of Structural Division 1973; 99:2423-2438.
18. Subbaraj K, Dokainish MA. A survey of direct time-integration methods in computational structural dynamics II: implicit methods. Computers and Structures 1989; 32:1387-1401.
19. Bergan PG, Clough RW. Convergence criteria of iterative process. AIAA Journal 1972; 10:1107-1108.
20. Srinivas S, Joga Rao CV, Rao AK. An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates. Journal of Sound and Vibration 1970; 12:187-199.
21. Srinivas S, Rao AK. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. International Journal of Solids and Structures 1970; 6:1463-1481.
22. Reddy JN, Khdeir AA. Buckling and vibration of laminated composite plates using various theories. AIAA Journal 1989; 27:1808-1817.
23. Ganapathi M, Varadan TK. Large amplitude vibrations of circular cylindrical shells. Journal of Sound and Vibration 1996; 192:1-14.
24. Leech JW. Stability of finite difference equations for the transient response of a flat plate. AIAA Journal 1965; 3:1772-1773.
25. Tsai TY, Tong P. Stability of transient solution of moderately thick plate by finite difference method. AIAA Journal 1971; 9:2603.
26. Koo KN, Lee I. Vibration and damping analysis of composite laminates using shear deformable finite element. AIAA Journal 1971; 31:728-735.