Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

Structural Engineering and Mechanics

Volumn 28, Issue 2, 2008, Pages 221-238

  Rajasekaran, S ^a  

^a PSG COLLEGE OF TECHNOLOGY   (India)

Author keywords

Column; Differential quadrature; Differential transformation; Embedded piles; Semi inverse approach; Stability

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; PILES; RIGIDITY; WAVELET TRANSFORMS;

DIFFERENTIAL QUADRATURE; DIFFERENTIAL TRANSFORMATION; EMBEDDED PILES; SEMI-INVERSE APPROACH;

COLUMNS (STRUCTURAL);

EID: 38149099961     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2008.28.2.221     Document Type: Article

References (18)

1. Bellman, R. and Casti, J. (1971), "Differential quadrature and long term Integration", J. Math. Anal. Appl., 34, 235-238.
2. Bert, C.W., Wang, X. and Striz, A.G. (1993), "Differential quadrature for static and free vibration analysis of anisotropic plates", Int. J. Solids Struct., 30, 1737-1744.
3. Bert, C.W., Wang, X. and Striz, A.G. (1994), "Static and free vibration analysis of beams and plates by differential quadrature method", Acta Mech., 102, 11-24.
4. Bert, C.W. and Malik, M. (1996), "Differential quadrature method in computational mechanics", Appl. Mech. Rev., 49(1), 1-28.
5. Bert, C.W. and Zeng, H. (2000), "Analysis of axial vibration of compound rods by differential transformation method", J. Sound Vib., 275, 641-647.
6. Bowles, J.E. (1996), Foundation Analysis and Design, McGraw-Hill Book Co., New York.
7. Chai., Y.H. and Wang, C.M. (2006), "An application of differential transformation to stability analysis of heavy columns", Int. J. Struct. Stab. D., 6(3), 317-332.
8. Chen, C.K. and Ho. S.H. (1999), "Transverse vibration of rotating and twisted Timoshenko beams under axial loading using differential transform", Int. J. Mech. Sci., 41, 1339-1356.
9. Elishakoff, I., Gentilini, C. and Santoro, R. (2006), "Some conventional and unconventional educational column stability problems", Int. J. Struct. Stab. D., 6(1), 139-151.
10. Li, Q.S. (2000), "Exact solutions for free longitudinal vibrations of non-uniform rods", J. Sound. Vib., 234(17), 1-19.
11. Malik, M. and Allali, M. (2000), "Characteristic equations of rectangular plates by differential transformation", J. Sound. Vib., 233(2), 359-366.
12. Rajasekaran, S. (2007), "Symbolic computation and differential quadrature method - A boon to engineering analysis", Struct. Eng.Mech., 27(6), 713-739.
13. Shu, C. (2000), Differential Quadrature and Its Application in Engineering, Berlin, Springer.
14. Striz, A.G., Wang, X. and Bert, C.W. (1995), "Harmonic diferential quadrature method and applications to analysis of structural components", Acta Mech., 111, 85-94.
15. Ulker, M. and Civalek, O. (2004), "Application of Harmonic Differential Quadrature (HDQ) to deflection and bending analysis of beams and plates", F.U. Fen v Muhendislik Bilimleri Dergisi, 16(2), 221-231.
16. nd Edition, Intext Educational publishers, Scranton, PA.
17. Wilson, E.L. (2002), Three Dimensional Static and Dynamic Analysis of Structures, Computers and Structures, Inc, Berkeley, California.
18. Terzaghi, K. (1955), "Evaluation of coefficient of sub-grade reaction", Geotechnique, 5(4), 297-326.