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Structural Engineering and Mechanics Volume 54, Number 3, May10 2015 , pages 597-605 DOI: https://doi.org/10.12989/sem.2015.54.3.597 |
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Free vibration analysis of axially moving beam under non-ideal conditions |
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Suleyman M. Bagdatli and Bilal Uslu
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| Abstract | ||
| In this study, linear vibrations of an axially moving beam under non-ideal support conditions have been investigated. The main difference of this study from the other studies; the non-ideal clamped support allow minimal rotations and non-ideal simple support carry moment in minimal orders. Axially moving Euler-Bernoulli beam has simple and clamped support conditions that are discussed as combination of ideal and non-ideal boundary with weighting factor (k). Equations of the motion and boundary conditions have been obtained using Hamilton\'s Principle. Method of Multiple Scales, a perturbation technique, has been employed for solving the linear equations of motion. Linear equations of motion are solved and effects of different parameters on natural frequencies are investigated. | ||
| Key Words | ||
| axially moving; vibration; non-ideal support; perturbation methods | ||
| Address | ||
| Suleyman M. Bagdatli and Bilal Uslu: Faculty of Engineering, Department of Mechanical Engineering, Celal Bayar University, 45140, Yunusemre, Manisa, Turkey | ||