On the performance of higher order theories for transient dynamic analysis of sandwich and composite beams

Computers and Structures

Volumn 65, Issue 5, 1997, Pages 741-759

  Marur, S R ^a   Kant, T ^b  

^a CSS Foundation for Research in   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; MATHEMATICAL MODELS; POLYNOMIALS; SANDWICH STRUCTURES; SHEAR DEFORMATION; STRESSES;

HIGHER ORDER THEORIES; TRANSIENT DYNAMIC ANALYSIS;

COMPOSITE BEAMS AND GIRDERS;

EID: 0031341322     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00427-0     Document Type: Article

References (32)

1. Wu, R. W. H. and Witmer, E. A., Finite element analysis of large elastic-plastic transient deformations of simple structures. AIAA Journal, 1971, 9, 1719-1724.
2. Toridis, T. G. and Khozeimeh, K., Inelastic response of frames to dynamic loads. Journal of the Structural Division of the ASCE, 1971, 97, 847-863.
3. Tondis, T. G. and Khozeimeh, K., Computer analysis of rigid frames. Computers and Structures, 1971, 1, 193-221.
4. Mondkar, D. P. and Powell, G. H., Finite element analysis of nonlinear static and dynamic response. International Journal of Numerical Methods in Engineering, 1977, 11, 499-520.
5. Hilmy, S. I. and Abel, J. F., Material and geometric nonlinear dynamic analysis of steel frames using computer graphics. Computers and Structures, 1985, 21, 825-840.
6. Kam, T. Y. and Lin, S. C., Nonlinear dynamic analysis of inelastic steel plane frames. Computers and Structures, 1988, 28, 535-542.
7. Timoshenko, S. P., On the correction for shear in differential equations for transverse vibrations of prismatic bars. Philosophical Magazine, Series 6, 1921, 41, 744-746.
8. McCallay, R., Rotary inertia correction for mass matrices. Report no. DIG/SA, GEC, New York, 63-73, 1963.
9. Archer, J., Consistent matrix formulations for struc-tural analysis using finite element techniques. AIAA Journal, 1965, 3, 1910-1928.
10. Kapur, K., Vibrations of a Timoshenko beam using finite element approach. Journal of the Acoustic Society of America, 1966, 40, 1058-1063.
11. Carniege, W., Thomas, J. and Dokumaci, E., An improved method of matrix displacement analysis in vibration problems. Aeronautical Quarterly, 1969, 20, 321-332.
12. Davis, R., Henshell, R. D. and Warburton, G. B., A Timoshenko beam element. Journal of Sound and Vibration, 1972, 22, 475-487.
13. Nickel, R. and Secor, G., Convergence of consistently derived Timoshenko beam finite elements. International Journal of Numerical Methods in Engineering, 1972, 5, 243-253.
14. Thomas, D. L., Wilson, J. M. and Wilson, R. R., Timoshenko beam finite elements. Journal of Sound and Vibration, 1973, 31, 315-330.
15. Thomas, J. and Abbas, B. A. H., Finite element model for dynamic analysis of Timoshenko beams. Journal of Sound and Vibration, 1975, 41, 291-299.
16. 1 elements for linear and nonlinear transient dynamics of building frames. Computers and Structures, 1991, 40, 659-678.
17. Stephen, N. G. and Levinson, M., A second-order beam theory. Journal of Sound and Vibration, 1979, 67, 293-305.
18. Heyliger, P. R. and Reddy, J. N., A higher-order beam finite element for bending and vibration problems. Journal of Sound and Vibration, 1988, 126, 309-326.
19. Soldatos, K. P. and Elishakoff, I., A transverse shear and normal deformable orthotropic beam theory. Journal of Sound and Vibration, 1992, 154, 528-533.
20. Levinson, M., A new rectangular beam theory. Journal of Sound and Vibration, 1981, 74, 81-87.
21. Rychter, Z., On the accuracy of a beam theory. Mechanical Research Communications, 1987, 14, 99-105.
22. Bickford, W. B., A consistent higher-order beam theory. Developments in Theoretical and Applied Mechanics, 1982, 11, 137-142.
23. Reddy, J. N., Energy and Variational Methods in Applied Mechanics. Wiley, New York, 1984.
24. Kant, T. and Gupta, A., A finite element model for a higher-order shear deformable beam theory. Journal of Sound and Vibration, 1988, 125, 193-202.
25. 0 finite elements. Computers and Structures, 1989, 33, 755-764.
26. 0 finite elements. Finite Elements in Analysis and Design, 1990, 6, 303-320.
27. Lo, K. H., Christensen, R. M. and Wu, E. M., A higher-order theory of plate deformation I. Homogeneous plates. ASME Journal of Applied Mechanics, 1977, 44, 663-668.
28. Hinton, E., Rock, T. and Zienkiewicz, O. C., A note on mass lumping and related processes in the finite element method. International Journal of Earthquake Engineering Structural Dynamics, 1976, 4, 245-249.
29. Marur, S. R. and Kant, T., A modified form of the central difference predictor scheme for damped nonlinear systems. Computers and Structures, 1994, 50, 615-618.
30. Chen, J. K. and Sun, C. T., Nonlinear transient responses of initially stressed composite plates. Computers and Structures, 1985, 21, 513-520.
31. Allen, H. G., Analysis and Design of Structural Sandwich Panels. Pergamon, London, 1969.
32. Reddy, J. N., On the solutions to forced motions of rectangular composite plates. ASME Journal of Applied Mechanics, 1982, 49, 403-408.