Basic displacement functions in analysis of nonprismatic beams

Engineering Computations (Swansea, Wales)

Volumn 27, Issue 6, 2010, Pages 733-745

  Attarnejad, Reza ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Beams; Equilibrium methods; Structural members; Structural theory

Indexed keywords

BEAM ELEMENTS; BEAMS; BREAKING POINT; COMPLEX STRUCTURE; CONVENTIONAL METHODS; CROSS SECTIONAL AREA; CURVED BEAMS; DESIGN/METHODOLOGY/APPROACH; DISPLACEMENT FUNCTION; DISPLACEMENT-BASED METHOD; EQUILIBRIUM EQUATION; EQUILIBRIUM METHODS; EULER BERNOULLI BEAMS; FLEXIBILITY METHOD; GOVERNING EQUATIONS; INTERIOR POINT; MOMENT OF INERTIA; NON-PRISMATIC; NON-PRISMATIC MEMBER; NUMERICAL EXAMPLE; PLATES AND SHELLS; SHAPE FUNCTIONS; SPACE VEHICLES; SPECIAL FUNCTIONS; STATIC AND DYNAMIC ANALYSIS; STATIC DEFLECTIONS; STRUCTURAL INTERPRETATION; STRUCTURAL MATRIX; STRUCTURAL THEORY; TRANSVERSE VIBRATIONS; TURBINE BLADE;

FUNCTION EVALUATION; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); STRUCTURAL FRAMES; TURBOMACHINE BLADES;

STRUCTURAL ANALYSIS;

EID: 79952482703     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644401011062117     Document Type: Article

References (21)

1. Attarnejad, R. (2000), "On the derivation of the geometric stiffness and consistent mass matrices for non-prismatic Euler-Bernoulli beam elements", Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona.
2. Attarnejad, R. (2002), "Free vibration of non-prismatic beams", Proceedings of 15th ASCE Engineering Mechanics Conference, New York.
3. Banerjee, J.R. (2000), "Free vibration of centrifugally stiffened uniform and tapered beams using the dynamic stiffness method", Journal of Sound and Vibration, Vol. 233, pp. 857-5.
4. Banerjee, J.R. and Williams, F.W. (1985), "Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beam", International Journal of Numerical Methods in Engineering, Vol. 21, pp. 2289-302. (Pubitemid 15602718)
5. Banerjee, J.R., Su, H. and Jackson, D.R. (2006), "Free vibration of rotating tapered beams using the dynamic stiffness method", Journal of Sound and Vibration, Vol. 298, pp. 1034-54. (Pubitemid 44414870)
6. Chambers, J.J., Almudhafar, S. and Stenger, F. (2003), "Effect of reduced beam section frame elements on stiffness of moment frames", Journal of Structural Engineering, Vol. 129, pp. 383-93. (Pubitemid 40001071)
7. Ece, M.C., Aydogdu, M. and Taskin, V. (2007), "Vibration of a variable cross-section beam", Mechanics Research Communications, Vol. 34, pp. 78-84. (Pubitemid 44279031)
8. Eisenberger, M. (1986), "An exact element method", International Journal of Numerical Methods in Engineering, Vol. 30, pp. 363-70.
9. Eisenberger, M. (1991), "Exact solution for general variable cross-section members", Computers and Structures, Vol. 41, pp. 765-72.
10. Eisenberger, M. and Reich, Y. (1989),"Static, vibration and stability analysis of non-uniform beams", Computers and Structures, Vol. 31, pp. 563-71.
11. Gallagher, R.H. and Lee, C.H. (1970), "Matrix dynamic and instability analysis with non-uniform elements", International Journal of Numerical Methods in Engineering, Vol. 2, pp. 265-75.
12. Gunda, J.B. and Ganguli, R. (2008), "New rational interpolation functions for finite element analysis of rotating beams", International Journal of Mechanical Sciences, Vol. 50, pp. 578-88. (Pubitemid 351273703)
13. Ho, S.H. and Chen, C.K. (1998), "Analysis of general elastically end restrained non-uniform beams using differential transform", Applied Mathematical Modelling, Vol. 22, pp. 219-34. (Pubitemid 128369945)
14. Karabalis, D.L. and Beskos, D.E. (1983),"Static, dynamic and stability analysis of structures composed of tapered beams", Computers and Structures, Vol. 16, pp. 731-48. (Pubitemid 13488892)
15. Kim, K.D. and Engelhardt, M.D., (2007), "Nonprismatic beam element for beams with RBS connections in steel moment frames", Journal of Structural Engineering, Vol. 133, pp. 176-84. (Pubitemid 46121745)
16. Mou, Y., Han, R.S.P. and Shah, A.H. (1997), "Exact dynamic stiffness matrix for beams of arbitrarily varying cross sections", International Journal of Numerical Methods in Engineering, Vol. 40, pp. 233-50. (Pubitemid 127571809)
17. Ozgumus, O.O. and Kaya, M.O. (2006), "Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method", Meccanica, Vol. 41, pp. 661-70. (Pubitemid 44954246)
18. Ruta, P. (1999), "Application of Chebyshev series to solution of non-prismatic beam vibration problems", Journal of Sound and Vibration, Vol. 227, pp. 449-67. (Pubitemid 129533120)
19. Seval, Ç . (2008), "Solution of free vibration equations of beam on elastic soil by using differential transform method", Applied Mathematical Modelling, Vol. 32, pp. 1744-57.
20. Wang, G. and Wereley, N.M. (2004), "Free vibration analysis of rotating blades with uniform tapers", American Institute of Aeronautics and Astronautics Journal, Vol. 42, pp. 2429-37. (Pubitemid 40010493)
21. Yang, T.Y. (1986), Finite Element Structural Analysis, Prentice-Hall, Englewood Cliffs, NJ.