How to cite this paper
Pakdemirli, M. (2025). Buckling of columns under conditions of non-ideality.Engineering Solid Mechanics, 13(4), 391-396.
Refrences
Atcı, D., & Bağdatlı, M. (2017). Vibrations of fluid conveying microbeams under non-ideal boundary conditions. Microsystems Technologies, 23, 4741-4752. https://doi.org/10.1007/s00542-016-3255-y.
Aydoğdu, M., & Ece, M. C. (2006). Buckling and vibration of non-ideal simply supported rectangular isotropic plates. Mechanics Research Communications, 33, 532-540. https://doi.org/10.1016/j.mechrescom.2005.08.002.
Bağdatlı, S. M. & Uslu, B. (2015). Free vibration analysis of axially moving beam under non-ideal conditions. Structural Engineering and Mechanics, 54(3), 597-605. https://doi.org/10.12989/sem.2015.54.3.597.
Beer, F. B. & Johnston, E. R. (1992). Mechanics of Materials, McGraw Hill Inc., Berkshire, England.
Boyacı, H. (2006). Vibrations of stretched damped beams under non-ideal boundary conditions. Sadhana, 31(1), 1-8. https://doi.org/10.3390/mca6030217.
Eigoli, A. K., & Ahmadian, M. T. (2011). Nonlinear vibration of beams under non-ideal boundary conditions. Acta Mechanica, 218, 259-267. https://doi.org/10.1007/s00707-010-0423-5.
Fallahzadeh, S. R., & Shariyat, M. (2015). Dynamic responses of poroelastic beams with attached mass-spring systems and time dependent, non-ideal supports subject to moving loads: An analytical approach. JCAMECH, 46(2), 133-151.
Ghadiri, M., & Hosseini, M. (2014). Vibration analysis of a composite beam with non-ideal boundary conditions. International Journal of Basic Sciences and Applied Research, 3(2), 103-118.
Ghadiri, M., Malekzadeh, K., & Ghasemi, F. A. (2015). Free vibration analysis of an axially preloaded laminated composite beam carrying a spring-mass-damper system with a non-ideal support. Jourdan Journal of Mechanical and Industrial Engineering, 9(3), 195-207.
Heryodono, A. R. H., & Lee, J. (2019). Free vibration analysis of Euler-Bernoulli beams with non-ideal clamped boundary conditions by using Pade approximation. Journal of Mechanical Science and Technology, 33(3), 1169-1175. https://doi.org/10.1007/s12206-019-0216-2.
Khalili, S. M. R., Abbaspour, P., & Fard, K. M. (2013). Buckling of non-ideal simply supported laminated plate on Pasternak foundation. Applied Mathematics and Computation, 219, 6420-6430. https://doi.org/10.1016/j.amc.2012.12.056.
Lee, J. (2013). Free vibration analysis of beams with non-ideal clamped boundary conditions. Journal of Mechanical Science and Technology, 27(2), 297-303. https://doi.org/10.1007/s12206-012-1245-2.
Mohammadi, J., & Gheisary, M. (2009). Effect of non-ideal boundary conditions on buckling of rectangular functionally graded plates. Journal of Solid Mechanics, 1(2), 91-97.
Najafizadeh, M. M., Mohammadi, J., & Khazaeinejad, P. (2012). Vibration characteristics of functionally graded plates with non-ideal boundary conditions. Mechanics of Advanced Materials and Structures, 19(7), 543-550. https://doi.org/10.1080/15376494.2011.563407.
Nayfeh, A. H. (1981). Introduction to Perturbation Techniques. John Wiley & Sons, New York, USA.
Pakdemirli, M., & Boyacı H. (2001). Vibrations of a stretched beam with non-ideal boundary conditions”, Mathematical & Computational Applications, 6(3), 217-220. https://doi.org/10.3390/mca6030217.
Pakdemirli, M., & Boyacı H. (2002). Effect of non-ideal boundary conditions on the vibrations of continuous systems. Journal of Sound and Vibration, 249(4), 815-823. https://doi.org/10.1006/jsvi.2001.3760.
Pakdemirli, M., & Boyacı H. (2003). Nonlinear vibrations of a simple-simple beam with a non-ideal support in between. Journal of Sound and Vibration, 268(2), 331-341. https://doi.org/10.1016/S0022-460X(03)00363-8.
Pakdemirli, M., & Boyacı H. (2003a). Vibrations of a simply supported beam with a non-ideal support at an intermediate point. Mathematical & Computational Applications, 8(2), 159-164. https://doi.org/10.3390/mca8020159.
Sarı, G., & Pakdemirli, M. (2013). Vibrations of a slightly curved microbeam resting on an elastic foundation with non-ideal boundary conditions. Mathematical Problems in Engineering, 2013. https://doi.org/10.1155/2013/736148.
Yurddaş, A., Özkaya, E., & Boyacı, H. (2013). Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions. Nonlinear Dynamics, 73, 1223-1244. https://doi.org/10.1007/s11071-012-0650-5.
Zhang, Z. Y., Zhang, W. M., & Meng, G. (2013). Dynamic characteristics of micro-beams considering the effect of flexible supports. Sensors, 13, 15880-15887. https://doi.org/10.3390/s131215880.