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Structural Engineering and Mechanics Volume 44, Number 4, November25 2012 , pages 487-499 DOI: https://doi.org/10.12989/sem.2012.44.4.487 |
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Stability and non-stationary vibration analysis of beams subjected to periodic axial forces using discrete singular convolution |
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Zhiwei Song, Wei Li and Guirong Liu
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| Abstract | ||
| Dynamic instability of beams subjected to periodic axial forces is studied using the discrete singular convolution (DSC) method with the regularized Shannon\'s delta kernel. The principal regions of dynamic instability under different boundary conditions are examined in detail, and the non-stationary vibrations near the stability-instability critical regions have been investigated. It is found that the results obtained by using the DSC method are consistent with the analytical solutions, which shows that the DSC algorithm is suitable for the problems considered in this study. It was found that there is a narrow region of beat vibration existed in the vicinity of one side (o/o > 1) of the boundaries of the instable region for each condition. | ||
| Key Words | ||
| dynamic stability; non-stationary vibration; discrete singular convolution (DSC) | ||
| Address | ||
| Zhiwei Song, Wei Li: School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R. China Guirong Liu: School of Aerospace Systems, University of Cincinnati, Cincinnati, Ohio 45221, USA | ||