On the eigenfrequencies of a cantilever beam with attached tip mass and a spring-mass system

Journal of Sound and Vibration

Volumn 190, Issue 2, 1996, Pages 149-162

  Gurgoze M ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; STRUCTURAL ANALYSIS;

CLAMPED FREE BERNOULLI EULER BEAM; FREQUENCY EQUATION; SPRING MASS SYSTEM; TIP MASS;

BEAMS AND GIRDERS;

EID: 0030086917     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0053     Document Type: Article

References (17)

1. L. A. PARNELL and M. H. COBBLE 1976 Journal of Sound and Vibration 44, 499-511. Lateral displacements of a vibrating cantilever beam with a concentrated mass.
2. J. H. LAU 1984 Journal of Applied Mechanics 51, 182-197. Vibration frequencies and mode shapes for a constrained cantilever.
3. M. GÜRGÖZE 1986 Journal of Sound and Vibration 105, 443-449. On the approximate determination of the fundamental frequency of a restrained cantilever beam carrying a tip heavy body.
4. M. GÜRGÖZE and H. BATAN 1986 Journal of Sound and Vibration 106, 533-536. A note on the vibrations of a restrained cantilever beam carrying a heavy tip body.
5. W. H. LIU and C.-C. HUANG 1988 Journal of Sound and Vibration 123, 15-29. Vibrations of constrained beams carrying a heavy tip body.
6. R. G. JACQUOT and J. D. GIBSON 1972 Journal of Sound and Vibration 23, 237-244. The effects of discrete masses and elastic supports on continuous beam natural frequencies.
7. P. A. A. LAURA, E. A. SUSEMIHL, J. L. POMPO, L. E. LUISONI and R. GELOS 1977 Applied Acoustics 10, 121-145. On the dynamic behaviour of structural elements carrying elastically mounted, concentrated masses.
8. E. GOLDFRACHT and G. ROSENHOUSE 1984 Journal of Sound and Vibration 92, 83-93. Use of Lagrange multipliers with polynomial series for dynamic analysis of constrained plates, part I: polynomial series.
9. J. W. NICHOLSON and L. A. BERGMAN 1986 American Society of Civil Engineers, Journal of Engineering Mechanics 112(1), 14-30. Vibration of damped plates oscillator systems.
10. L. ERCOLI and P. A. A. LAURA 1987 Journal of Sound and Vibration 114, 519-533. Analytical and experimental investigation on continuous beams carrying elastically mounted masses.
11. Y. H. LIN and M. W. TRETHEWEY 1990 Journal of Sound and Vibration 136, 323-342, Finite element analysis of elastic beams subjected to moving dynamics loads.
12. R. E. ROSSI, P. A. A. LAURA, D. R. AVALOS and H. LARRONDO 1993 Journal of Sound and Vibration 165, 209-223. Free vibration of Timoshenko beams carrying elastically mounted, concentrated masses.
13. J. T. WEISSENBURGER 1968 Journal of Applied Mechanics 35, 327-332. Effect of local modifications on the vibration characteristics of linear systems.
14. E. H. DOWELL 1979 Journal of Applied Mechanics 46, 206-209. On some general properties of combined dynamical systems.
15. L. MEIROVITCH 1967 Analytical Methods in Vibrations. London: Collier-Macmillan Limited.
16. E. PESTEL 1988 Technische Mechanik, Band 3: Kinematik und Kinetik. Mannheim B.I. Wissenschaftsverlag.
17. S. NAGULESWARAN 1994 Journal of Sound and Vibration 171, 703-707. Comments on "reliable algorithm for solving frequency equations involving transcendental functions".