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Dynamic Stability of a Cantilevered Timoshenko Beam on Partial Elastic Foundations Subjected to a Follower Force  

Ryu, Bong-Jo (Department of Mechanical Design Engineering, Hanbat National University)
Shin, Kwang-Bok (Department of Mechanical Design Engineering, Hanbat National University)
Yim, Kyung-Bin (Department of Mechanical Engineering, Dongyang Technical College)
Yoon, Young-Sik (Department of Mechanical Engineering, Konyang University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.9, 2006 , pp. 1355-1360 More about this Journal
Abstract
This paper presents the dynamic stability of a cantilevered Timoshenko beam with a concentrated mass, partially attached to elastic foundations, and subjected to a follower force. Governing equations are derived from the extended Hamilton's principle, and FEM is applied to solve the discretized equation. The influence of some parameters such as the elastic foundation parameter, the positions of partial elastic foundations, shear deformations, the rotary inertia of the beam, and the mass and the rotary inertia of the concentrated mass on the critical flutter load is investigated. Finally, the optimal attachment ratio of partial elastic foundation that maximizes the critical flutter load is presented.
Keywords
Partial Elastic Foundations; Dynamic Stability; Follower Force Cantilevered Timoshenko Beam;
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1 Elishakoff, I. and Wang, X., 1987, 'Generalization of Smith-Herrmann Problem with the aid of Computerized Symbolic Algebra,' Journal of Sound and Vibration, 117, pp. 537-542   DOI   ScienceOn
2 Hauger, W. and Vetter, K., 1976, 'Influence of an Elastic Foundation on the Stability of a Tangentially Loaded Column,' Journal of Sound and Vibration, 47, pp. 296-299   DOI   ScienceOn
3 Jacoby, A. and Elishakoff, I., 1986, 'Discrete-Continuous Elastic Foundation may Leave the Flutter Load of the Pfluger Column Unaffected,' Journal of Sound and Vibration, 108, pp. 523-525   DOI   ScienceOn
4 Anderson, G. L., 1975, 'The Influence of Rotary Inertia, Tip Mass, and Damping on the Stability of a Cantilever Beam on an Elastic Foundation,' Journal of Sound and Vibration, 43, pp. 543-552   DOI   ScienceOn
5 Chen, L. W. and Ku, D. M., 1992, 'Stability of Elastic Systems Under Follower Forces,' AIAA Journal, 30, pp.767-771   DOI
6 Maurizi, M. J. and Bambill, E. A., 2002, 'An Additional Note on Dynamic Stability of Columns Subjected to Follower Loads: a Survey,' Journal of Sound and Vibration, 251, pp. 181-183   DOI   ScienceOn
7 Smith, T. E. and Herrmann, G., 1972, 'Stability of a Beam on an Elastic Foundation Subjected to a Follower Force,' Journal of Applied Mechanics, 39, pp. 628-629   DOI
8 Sundararajan, C., 1974, Stability of Columns on Elastic Foundations Subjected to Conservative and Non-conservative Forces,' Journal of Sound and Vibration, 37, pp. 79-85   DOI   ScienceOn
9 Sundararajan, C., 1976, 'Influence of an Elastic end Support on the Vibration and Stability of Beck's Column,' International Journal of Mechanical Science, 18, pp. 239-241   DOI   ScienceOn
10 Langthjem, M. A. and Sugiyama, Y., 2000, 'Dynamic Stability of Columns Subjected to Follower Loads: a Survey,' Journal of Sound and Vibration, 238, pp. 809-851   DOI   ScienceOn