Dynamic stability problem of a non-prismatic rod

Journal of Sound and Vibration

Volumn 250, Issue 3, 2002, Pages 445-464

  Ruta, P ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; ELASTICITY; FINITE ELEMENT METHOD; FOUNDATIONS; FOURIER TRANSFORMS; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; STABILITY; STIFFNESS MATRIX; STRUCTURAL ANALYSIS;

CANTILEVER COLUMN; DYNAMIC STABILITY PROBLEM; NON-PRISMATIC ROD;

VIBRATIONS (MECHANICAL);

EID: 0037149161     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3954     Document Type: Article

References (18)

1. E. Krynicki and Z. Mazurkiewicz 1966 Frames made of Variable-Rigidity Bars (in Polish). Warsaw: PWN.
2. A. C. Heidebrecht 1967 Journal of the Engineering Mechanics Division, American Society of Civil Engineers 93, 1-15. Vibration of non-uniform simply-supported beam.
3. H. V. S. Gonga Rao and C. C. Spyrakos 1986 Computers and Structures 23, 211-215. Closed form series solutions of boundary value problems with variable properties.
4. A. K. Gupta 1985 Journal of the Engineering Mechanics, American Society of Civil Engineers 111, 19-36. Vibration of tepered beams.
5. M. Eisenberger 1985 Computers and Structures 4, 715-720. Explicit stiffness matrices for non-prismatic members.
6. M. Eisenberger and Y. Reich 1989 Computers and Structures 31, 567-573. Static, vibration and stability analysis of non-uniform beams.
7. M. Eisenberger 1990 American Institute of Aeronautics and Astronautics Journal 28, 1105-1109. Exact static and dynamic stiffness matrices for general variable cross section members.
8. M. Klasztorny 1992 Computer Methods in Civil Engineering 2, 7 - 32. Finite beam elements of Euler and Timoshenko type.
9. P. Ruta 1999 Journal of Sound and Vibration 227, 449-467. Application of Chebyshev series to solution of non-prismatic beam vibration problems.
10. I. Elishakoff and F. Pellegrni 1988 Computer Methods in Applied Mechanics and Engineering 66, 107-119. Exact solutions for buckling of some divergence-type non-conservative systems in terms of Bessel and Lommel functions.
11. C. Massey and A. T. Van Der Meen 1971 Journal of Applied Mechanics 38, 269-271. Errata on stability of non-prismatic cantilever columns under tangential loadings.
12. G. V. Sankaran and G. Venkateswara Rao 1976 Computers and Structures 6, 217-220. Stability of tapered cantilever columns subjected to follower forces.
13. W. Glabisz 1993 Computers and Structures 46, 479-586. Stability of non-prismatic rods subjected to non-conservative loads.
14. A. Ghani Razaqpur and K. R. Shah 1991 International Journal of Solids and Structure 27, 435-454. Exact analysis of beams on two-parameters elastic foundations.
15. S. Paszkowski 1976 Numerical Applications of Chebyshev Polynomials (in Polish). Warsaw: PWN.
16. K. J. Bathe and E. L. Wilson 1976 Numerical methods in finite element analysis. Englewood Cliffs, NJ: Prentice-Hall Inc.
17. M. Beck 1952 Zeitschrift für Angewandte Mathematik und Physik 3, 225-228. Die Kniclast des einseitig engespannten, tangential gedrückten Stabes.
18. H. H. E. Leipholz and O. P. Madan 1975 Ingenieur Archiev 44, 347-357. On the solution of the stability problem of elastic rods subjected to uniformly distributed, tangential follower forces.