Application of spline element for large-amplitude free vibrations of laminated orthotropic straight/curved beams

Composites Part B: Engineering

Volumn 29, Issue 1, 1998, Pages 1-8

  Ganapathi, M ^a   Patel, B P ^a   Saravanan, J ^b   Touratier, M ^c  

^a DEFENCE INSTITUTE OF ADVANCED TECHNOLOGY   (India)

^b Ctr Aero Syst Studs and Analyses   (India)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

Curved beam; Non linear, orthotropic, laminates; Vibration

Indexed keywords

CURVED BEAMS AND GIRDERS; DYNAMIC RESPONSE; INTEGRATION; ITERATIVE METHODS; LAMINATED COMPOSITES; NONLINEAR EQUATIONS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

NEWTON-RAPHSON ITERATION TECHNIQUE;

COMPOSITE BEAMS AND GIRDERS;

EID: 0031638218     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(97)00025-5     Document Type: Article

References (19)

1. Sathyamoorthy, M., Recent research in non-linear analysis of beams. Shock Vib. Dig., 1985, 9, 19.
2. Rehfield, L.W., Nonlinear flexural oscillations of shallow arches. AIAA J., 1974, 12, 91.
3. Prathap, G. and Panadalai, K.A.V., On asymptotic solutions to the non-linear vibrations of curved elements. J. Sound Vib., 1978, 58, 463.
4. Reddy, J.N. and Singh, I.R., Large deflections and large amplitude free vibrations of straight and curved beams. Int. J. Num. Methods Eng., 1981, 17, 527.
5. Noor, A.K. and Knight Norman, F. Jr., Nonlinear dynamic analysis of curved beams. Comput. Methods Appl. Mech. Eng., 1980, 23, 225.
6. Iu, V.P. et al., Nonlinear vibration analysis of multilayer beams by incremental finite elements Part I: Theory and numerical formulation. J. Sound Vib., 1985, 100, 359.
7. Kapania, R. K. and Raciti, S., Nonlinear vibrations of unsymmetrically laminated beams. AIAA J., 1989, 27, 201.
8. Ganapathi, M. et al. A cubic B-spline element including transverse shear with interlaminar continuity for multi-layered orthotropic beam. Int. J. Num. Methods Eng. (to be submitted).
9. Ramesh Babu, C. and Prathap, G., A linear thick curved beam element. Int. J. Num. Methods Eng., 1986, 23, 1313.
10. Beakou, A. and Touratier, M., A rectangular finite element for analysing composite multilayered shallow shells in statics, vibration and buckling. Int. J. Num. Methods Eng., 1993, 36, 627.
11. Ganapathi, M. et al. Shear bending and torsion modelling for multi-layered beams of rectangular cross-section. In Proc. 3rd International Conference of Composite Engineering (ICCE/3), New Orleans, 21-26 July, 1996, p. 853.
12. Jones, R. M. Mechanics of Composite Materials. McGraw-Hill, New York, 1975.
13. Rajasekaran, S. and Murray, D.W., Incremental finite element matrices. ASCE J. Struct. Division, 1973, 99, 2423.
14. Subbaraj, K. and Dokainish, M.A., A survey of direct time-integration methods in computational structural dynamics II: implicit methods. J. Comput. Struct., 1989, 32, 1387.
15. Bergan, P.O. and Clough, R.W., Convergence criteria of iterative process. AIAA J., 1972, 10, 1107-1108.
16. Leech, J.W., Stability of finite difference equations for the transient response of a flat plate. AIAA J., 1965, 3, 1772.
17. Tsai, T.Y. and Tong, P., Stability of transient solution of moderately thick plate by finite difference method. AIAA J., 1971, 9, 2603.
18. Woinowsky-Krieger, S., The effect of an axial force in the vibration of hinged bars. ASME J. Appl. Mech., 1950, 17, 35.
19. Sarma, B.S. and Varadan, T.K., Ritz finite element approach to nonlinear vibrations of beams. Int. J. Num. Methods Eng., 1984, 20, 353.