On the eigenfrequencies for mass loaded beams under classical boundary conditions

Journal of Sound and Vibration

Volumn 215, Issue 2, 1998, Pages 381-389

  Low, K H ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; DEFLECTION (STRUCTURES); EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; NATURAL FREQUENCIES;

BERNOULLI-EULER BEAM VIBRATIONS; RAYLEIGH'S METHOD;

VIBRATIONS (MECHANICAL);

EID: 0032137116     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1626     Document Type: Article

References (19)

1. C. KAMESWARA RAO and S. MIRZA 1989 Journal of Sound and Vibration 130, 453-465. A note on vibrations of generally restrained beams.
2. C. LEVY 1991 Journal of Sound and Vibration 150, 111-118. An iterative technique based on the Dunkerley method for determining the natural frequencies of vibrating systems.
3. M. J. MAURIZI and P. M. BELLES 1991 Journal of Sound and Vibration 150, 330-334. Natural frequencies of the beam-mass system: comparison of the two fundamental theories of beam vibrations.
4. M. U. JEN and E. B. MAGRAB 1993 Journal of Vibration and Acoustics, Transactions of the ASME 115, 202-209. Natural frequencies and mode shapes of beams carrying a two degree-of-freedom spring-mass system.
5. S. KUKLA 1994 Journal of Sound and Vibration 172, 449-458. Free vibrations of axially loaded beams with concentrated masses and intermediate elastic supports.
6. M. GURGOZE 1996 International Journal of Mechanical Science 38, 1295-1306. On the eigenfrequencies of cantilevered beams carrying a tip mass and spring-mass in-span.
7. M. GURGOZE and H. BATAN 1996 Journal of Sound and Vibration 195, 163-168. On the effect of an attached spring-mass system on the frequency spectrum of a cantilevered beam.
8. M. A. DE ROSA, C. FRANCIOSI and M. J. MAURIZI 1996 Computers and Structures 58, 1145-1159. On the dynamic behaviour of slender beams with elastic ends carrying a concentrated mass.
9. P. K. SARKAR 1996 Journal of Sound and Vibration 195, 229-240. Approximate determination of the fundamental frequency of a cantilevered beam with point masses and restraining springs.
10. E. OZKAYA, M. PAKDEMIRLI and H. R. OZ 1997 Journal of Sound and Vibration 199, 679-696. Non-linear vibrations of a beam-mass system under different boundary conditions.
11. K. H. LOW 1997 Computers and Structures 65, 97-107. An analytical-experimental comparative study of vibration analysis for loaded beams with variable boundary conditions.
12. K. H. LOW 1997 Journal of Sound and Vibration 201, 528-533. Closed-form formulas for fundamental vibration frequency of beams under off-centre load.
13. K. H. LOW and R. N. DUBEY 1997 Journal of Sound and Vibration 202, 134-138. A note on the fundamental shape function and frequency for beams under off-center load.
14. K. H. LOW 1997 Journal of Sound and Vibration 207, 132-135. A further note on closed-form formulas for fundamental vibration frequency of beams under off-centre load.
15. M. A. DE ROSA and C. FRANCIOSI 1996 Journal of Sound and Vibration 191, 795-808. The optimized Rayleigh method and Mathematica in vibrations and buckling problems.
16. S. S. RAO 1995 Mechanical Vibrations. Reading, MA: Addison-Wesley, third edition.
17. F. S. TSE, I. E. MORSE and R. T. HINKLE 1978 Mechanical Vibrations: Theory and Applications. Boston, MA: Allyn and Bacon, second edition.
18. K. M. HEAL, M. L. HANSEN and K. M. RICKARD 1996 Maple V: Learning Guide. New York: Springer-Verlag.
19. L. MEIROVITCH 1967 Analytical Methods in Vibrations. New York: Macmillan.