Dynamic analysis of nonuniform beams with time-dependent elastic boundary conditions

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 2, 1996, Pages 474-478

  Lee, Sen Yung ^a   Lin, Shueei Muh ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b KUNG SHAN INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005081372     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788892     Document Type: Article

References (13)

1. Berry, J. G., and Nagdhi, P. M, 1956, “On the vibration of clastic bodies having time-dependent boundary conditions," Quarterly of Applied Mathematics, Vol. 14, pp. 43-50.
2. Edstrom, C. R., 1981, “The Vibrating Beam with Non-homogeneous Boundary Conditions," ASME Journal of Applied Mechanics, Vol. 48, pp. 669-670.
3. Gou, P. F., and Karim-Panahi, K… 1988, “Beam with time dependent boundary conditions, closed form (series) solution versus response spectrum method." Dynamics and Seismic Issues in Primary and Secondary Systems, Presented at the ASME Pressure Vessels and Piping Conference, PVP VI37, pp. 33-44.
4. Grant, D. A., 1983, "Beam vibrations with time-dependent boundary conditions," Journal of Sound and Vibration, Vol. 89, No. 4, pp. 519-522.
5. Herrmann, G 1955, "Forced Motions of Timoshenko Beams," ASME Journal of Applied Mechanics, Vol. 22, pp. 53-56.
6. Honig, G., and Hirdes, U., 1984, "A method for the numerical inversion of Laplace transforms,” Journal of Computational and Applied Mathematics. Vol. 10, pp. 113-132.
7. Lee, S. Y., Ke, H. Y., and Kuo, Y. H., 1990, "Analysis of non-uniform beam vibration,” Journal of Sound and Vibration, Vol. 142, No. I, pp. 15-29.
8. Lee, S. Y., and Kuo, Y. H 1992, "Exact Solutions for the Analysis of General Elastically Restrained Non uniform Beams,” ASME Journal oF Applied Mechanics, Vol. 59, pp. S205-S212.
9. Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan, New York.
10. Mindlin, R. D and Goodman, L. E., 1950, “Beam Vibrations With Time-Dependent Boundary Conditions,'' ASME Journal of Applied Mechanics, Vol. 17, pp. 377-380.
11. Nothmann, G. A., 1948, “Vibration of a cantilever beam with prescribed end motion," ASME Journal of Applied Mechanics, Vol. 15, pp. 327-334
12. Paz, M 1980, Structural Dynamics: Theory and Computation. V. Nostrand Co., pp. 232-234.
13. Yen, T. C., and Kao, S., 1959, “Vibration of Beam-Mass System With Time-Dependent Boundary Conditions," ASME Journal of Applied Mechanics, Vol. 26, pp. 353-356.