Vibrations of tapered timoshenko beams in terms of static timoshenko beam functions

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 4, 2001, Pages 596-602

  Zhou, D ^a   Cheung, Y K ^b  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000051906     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1357164     Document Type: Article

References (17)

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2. To, C. W. S., 1981, “A Linearly Tapered Beam Finite Element Incorporating Shear Deformation and Rotary Inertia for Vibration Analysis,” J. Sound Vib., 78, pp. 475-484.
3. Cleghorn, W. L., and Tabarrok, B., 1992, “Finite Element Formulation of a Tapered Timoshenko Beam of Non-uniform Thickness,” J. Sound Vib., 152, pp. 461-470.
4. Rossi, R. E., Laura, P. A. A., and Gutierrez, R. H., 1990, “A Note on Transverse Vibrations of a Timoshenko Beam of Non-uniform Thickness Clamped at One End and Carrying a Concentrated Mass at the Other,” J. Sound Vib., 143, pp. 491-502.
5. Irie, T., Yamada, G., and Takahashi, I., 1979, “Determination of the Steady State Response of a Timoshenko Beam ofVarying Cross-Section by Use of the Spline Interpolation Technique,” J. Sound Vib., 63, pp. 287-295.
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8. Jategaonkar, R., and Chehil, D. S., 1989, “Natural Frequencies of a Beam With Varying Section Properties,” J. Sound Vib., 133, pp. 303-322.
9. Irie, T., Yamada, G., and Takahashi, I., 1980, “Vibration and Stability of a Non-uniform Timoshenko Beam Subjected to a Follower Force,” J. Sound Vib., 70, pp. 503-512.
10. Tong, X., Tabarrok, B., and Yeh, K. Y, 1995, “Vibration Analysis of Timoshenko Beams With Non-homogeneity and Varying Cross-section,” J. Sound Vib., 186, pp. 821-835.
11. Lee, S. Y, and Lin, S. M., 1992, “Exact Vibration Solutions for Nonuniform Timoshenko Beams With Attachments,” AIAA J., 30, pp. 2930-2934.
12. Laura, P. A. A., Maurizi, M. J., and Rossi, R. E., 1990, “A Survey of Studies Dealing With Timoshenko Beams,” Shock Vib. Dig., 22, No. 11, pp. 3-10.
13. Zhou, D., and Cheung, Y K., 2000, “The Free Vibration of a Type of Tapered Beams,” Comput. Methods Appl. Mech. Eng., 188, pp. 203-216.
14. Cheung, Y. K., and Zhou, D., 1999, “Eigenfrequencies of Tapered Rectangular Plates With Intermediate Line Supports,” Int. J. Solids Struct., 36, pp. 143-166.
15. Cheung, Y. K., and Zhou, D., 1999, “The Free Vibrations of Tapered Rectangular Plates Using a New Set of Beam Functions with the Rayleigh-Ritz Method,” J. Sound Vib., 223, pp. 703-722.
16. Zhou, D., 1996, “Natural Frequencies of Rectangular Plates Using a Set of Static Beam Functions in Rayleigh-Ritz Method,” J. Sound Vib., 189, pp. 81-97.
17. Naguleswaran, S., 1994, “A Direct Solution for the Transverse Vibration of Euler-Bernoulli Wedge and Cone Beams,” J. Sound Vib., 172, pp. 289-304.