Transient dynamics of laminated beams: An evaluation with a higher-order refined theory

Composite Structures

Volumn 41, Issue 1, 1998, Pages 1-11

  Marur, Sudhakar R ^a   Kant, Tarun ^b  

^a CSS Foundation for Research in   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; LAMINATED COMPOSITES; MATHEMATICAL MODELS; STRAIN; STRESSES;

HIGHER ORDER REFINED THEORY; LAMINATED BEAMS; TRANSIENT DYNAMICS;

COMPOSITE BEAMS AND GIRDERS;

EID: 0031625270     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(98)00002-6     Document Type: Article

References (25)

1. [1] Popov EP. Introduction to Mechanics of Solids. New Delhi: Prentice-Hall of India Pvt. Ltd, 1973.
2. [2] Paz M. Structural Dynamics - Theory and Computation. Van New Jersey: Nostrand Reinhold, USA, 1985.
3. [3] Toridis TG, Khozeimeh K. Inelastic response of frames to dynamic loads. ASCE J Engng Mech Div 1971;97:847-863.
4. [4] Wu RWH, Witmer EA. Finite-element analysis of large elastic-plastic transient deformations of simple structures. AIAA J 1971;9:1719-1724.
5. [5] Timoshenko SP. On the correction for shear of differential equation for transverse vibrations of prismatic bars. Philos. Mag Series 1921;41:744-746.
6. [6] Archer J. Consistent matrix formulations for structural analysis using finite element techniques. AIAA J 1965;3:1910-1928.
7. [7] Kapur K. Vibrations of a Timoshenko beam using finite element approach. J Acoust Soc America 1966;40:1058-1063.
8. [8] Davis R, Henshell RD, Warburton GB. A Timoshenko beam element. J Sound Vib 1972;22:475-487.
9. [9] Nickel R, Secor G. Convergence of consistently derived Timoshenko beam finite elements. Int J Numer Meth Engng 1972;5:243-253.
10. [10] Hughes TJR, Taylor RL, Kanoknukulchai S. A simple and efficient finite element for bending. Int. J. Numer. Meth. Engng. 1977;11:1529-1543.
11. 1 elements for linear and nonlinear transient dynamics of building frames. Comput Struct 1991;40;659-678.
12. [12] Stephen NG, Levinson M. A second order beam theory. J Sound Vib 1979;67:293-305.
13. [13] Heyliger PR, Reddy JN. A higher order beam finite element for bending and vibration problems. J Sound Vib 1988;126:309-326.
14. [14] Levinson M. A new rectangular beam theory. J. Sound Vib. 1981;74:81-87.
15. [15] Kant T, Gupta A. A finite element model for a higher-order shear-deformable beam theory. J Sound Vib 1988;125:193-202.
16. [16] Marur SR, Kant T. Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J Sound Vib 1996;194:337-351.
17. [17] Marur SR, Kant T. On the performance of higher order theories for transient dynamic analysis of sandwich and composite beams. Comput Struct 1997;65:741-759.
18. [18] Lo KH, Christensen RM, Wu EM. A higher order theory of plate deformation - Part 1: Homogeneous plates. ASME J. Appl Mech. 1977;44:663-668.
19. [19] Jones RM. Mechanics of Composite Materials. Tokyo: McGraw-Hill, Kogakusha Ltd, 1975.
20. [20] Vinayak RU, Prathap G, Naganarayana BP. Beam elements based on a higher order theory - I. Formulation and analysis of performance. Comput Struct 1996;58:775-789.
21. [21] Hinton E, Rock T, Zienkiewicz OC. A note on mass lumping and related processes in the finite element method. Int J Earthq Engng Struct Dyn 1976;4:245-249.
22. [22] Marur SR, Kant T. A modified form of the central difference predictor scheme for damped nonlinear systems. Comput Struct 1994;50:615-618.
23. [23] Chen JK. Sun CT. Nonlinear transient responses of initially stressed composite plates. Comput Struct 1985;21:513-520.
24. [24] Allen HG. Analysis and Design of Structural Sandwich Panels. London: Pergamon Press, 1969.
25. [25] Reddy JN. On the solutions to forced motions of rectangular composite plates. ASME J Appl Mech 1982;49:403-408.