Free vibration and stability of thin elastic beams subjected to axial forces

Journal of Sound and Vibration

Volumn 191, Issue 5, 1996, Pages 917-933

  Matsunaga, H ^a  

^a SETSUNAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; BOUNDARY CONDITIONS; BUCKLING; EIGENVALUES AND EIGENFUNCTIONS; NATURAL FREQUENCIES; NUMERICAL METHODS; PROBLEM SOLVING; SHEAR DEFORMATION; STABILITY; STRESSES; STRUCTURAL LOADS;

AXIAL FORCES; BUCKLING LOADS; DYNAMIC EQUATIONS; FREE VIBRATION; HAMILTONS PRINCIPLE; NAVIER SOLUTION PROCEDURE; ONE DIMENSIONAL HIGHER ORDER BEAM THEORY; POWER SERIES EXPANSION METHOD; THIN ELASTIC BEAMS;

OSCILLATIONS;

EID: 0030128541     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0163     Document Type: Article

References (15)

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2. R. D. MINDLIN and H. DERRESIEWICZ 1954 Proceedings of the Second U.S. National Congress on Applied Mechanics 1, 175-178. Timoshenko's shear coefficient for flexural vibrations of beams.
3. G. R. COWPER 1966 ASME, Journal of Applied Mechanics 33, 335-340. The shear coefficient in Timoshenko's beam theory.
4. N. G. STEPHEN and M. LEVINSON 1979 Journal of Sound and Vibration 67, 293-305. A second order beam theory.
5. M. LEVINSON 1981 Journal of Sound and Vibration 74, 81-87. A new rectangular beam theory.
6. M. LEVINSON 1981 Journal of Sound and Vibration 77, 440-444. Further results of a new beam theory.
7. P. R. HEYLIGER and J. N. REDDY 1988 Journal of Sound and Vibration 126, 309-326. A higher order beam finite element for bending and vibration problems.
8. J. R. HUTCHINSON and D. S. ZILLMER 1983 ASME, Journal of Applied Mechanics 50, 123-130. Vibration of a free rectangular parallelpiped.
9. J. B. KOSMATKA 1993 Journal of Sound and Vibration 160, 259-277. Transverse vibrations of shear-deformable beams using a general higher order theory.
10. Y. YOKOO and H. MATSUNAGA 1974 International Journal of Solids and Structures 10, 261-274. A general nonlinear theory of elastic shells.
11. H. MATSUNAGA 1986 Transactions of the Architectural Institute of Japan 367, 48-58 (in Japanese). On the analysis of displacement and stress distributions of a thick elastic plate by two-dimensional higher order theory.
12. H. MATSUNAGA 1992 Computers and Structures 45, 633-648. The application of a two-dimensional higher order theory for the analysis of a thick elastic plate.
13. G. R. COWPER 1968 Journal of the Engineering Mechanics Division (ASCE) EM6, 1447-1453. On the accuracy of Timoshenko's beam theory.
14. H. LAMB 1945 Hydrodynamics. New York: Dover, sixth edition.
15. C. T. SUN 1972 ASME, Journal of Applied Mechanics 39, 282-285. On the equations for a Timoshenko beam under initial stress.