References
- Kounadis, A. and Tatsikadelis, J. T., 1976, 'Shear and Rotatory Inertia Effect on Beck's Column,' Journal of Sound and Vibration, Vol. 49, No. 2, pp. 171-178 https://doi.org/10.1016/0022-460X(76)90494-6
- Saito, H. and Otomi, K., 1979, 'Vibration and Stability of Elastically Supported Beams Carrying an Attached Mass Under Axial and Tangental Loads,' Journal of Sound and Vibration, Vol. 62, No. 2, pp. 257-266 https://doi.org/10.1016/0022-460X(79)90025-7
- Rosa, M. A. and Franciosi, C., 1990, 'The Influence of an Intermediate Support on the Stability Behaviour of Cantilever Beams Subjected to Follower force,' Journal of Sound and Vibration, Vol. 137, No. 1, pp. 107-115 https://doi.org/10.1016/0022-460X(90)90719-G
- Lee, S. Y., Kuo, Y. H. and Lin, F. Y., 1992, 'Stability of a Timoshenko Beam Resting on a Winkler Elastic Foundation,' Journal of Sound and Vibration, Vol. 153, No. 2, pp. 193-202 https://doi.org/10.1016/S0022-460X(05)80001-X
- Farchaly, S. H. and Shebl, M. G., 1995, 'Exact Frequency and Mode Shape Formulae for Studying Vibration and Stability of Timoshenko Beam System,' Journal of Sound and Vibration, Vol. 180, No. 2, pp. 205-227 https://doi.org/10.1006/jsvi.1995.0075
- Rosa, M. A., 1995, 'Free Vibrations of Timoshenko Beams on Two-parameter Elastic Foundation,' Computers and Structures, Vol. 57, No. 1, pp. 151-156 https://doi.org/10.1016/0045-7949(94)00594-S
- Lee, S. Y., Chen, T. Y. and Wang, W. R., 1995, 'Non-conservative Instability of a Timoshenko Beam Subjected to a Partially Tangential Follower Force,' Journal of Sound and Vibration, Vol. 188, No. 1, pp. 25-38 https://doi.org/10.1006/jsvi.1995.0576
- Detinko, F. M., 2003, 'Lumped Damping and Stability of Beck Column with a Tip Mass,' International Journal of Solids and Structures, Vol. 40, No. 17, pp. 4479-4486 https://doi.org/10.1016/S0020-7683(03)00298-1
- Son, I. S., Yoon, H. I. and Ahn, T. S., 2007, 'Stability Analysis of Cracked Cantilever Beam with Tip Mass and Follower Force,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 7, pp. 605-610 https://doi.org/10.5050/KSNVN.2007.17.7.605
- Son, I. S., Yoon, H. I. and Ahn, T. S., 2008, 'Effects of Crack and Tip Mass on Stability of Timoshenko Beam Subjected to Follower Force,' Journal of KSPE, Vol. 25, No. 6, pp. 99-107
- Wang, Q., 2004, 'A Comprehensive Stability Analysis of a Cracked Beam Subjected to Follower Compression,' International Journal of Solids and Structures, Vol. 41, pp. 4875-4888 https://doi.org/10.1016/j.ijsolstr.2004.04.037
- Yoon, H. I., Son, I. S. and Ahn, T. S., 2007, 'Stability Analysis of Pipe Conveying Fluid with Crack,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 1, pp. 10-16 https://doi.org/10.5050/KSNVN.2007.17.1.010
- Meirovitch, L., 1967, Analytical Methods in Vibration, The Macmillan Company, New York, Chapter 5
- Harris, C. M., 1961, Shock and Vibration Handbook(Fourth Edition), McGraw-Hill, Chapter 7
- Igor, A. K. and Olga, I. L., 2001, Forumlas for Structural Dynamics, McGraw-Hill, Chapter 11
- 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,' Journal of Sound and Vibration, Vol. 143, No. 3, pp. 491-502 https://doi.org/10.1016/0022-460X(90)90738-L