PSI - Issue 36

Mykhailo Hud et al. / Procedia Structural Integrity 36 (2022) 87–91 Mykhailo Hud, Natalia Chornomaz, Roman Grytseliak et al. / Structural Integrity Procedia 00 (2021) 000 – 000

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There were established the following facts: There are similar values of frequencies in the first four forms of oscillations.

Due to the consideration of the damping properties of the soil, the values of the natural frequencies of the grain leg tower are smaller in comparison with the rigid clamping of the support nodes of the struts of the grain leg tower. The value of the period of oscillations is also influenced by the method of calculation. The second method of calculation is most consistent with the actual design work, so in subsequent design calculations, the required data will be determined in this way. References Avramov, K. V, Mikhlin, Y. V, Kurilov, E., 2007. Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells. Nonlinear Dynamic 47, 331-352. Amabili, M., Pellicano, F., Vakakis, A.F., 2000. Nonlinear vibrations and multiple resonances of fluid-filled circular shells, part I: equations of motions and numerical results. Journal of Vibration and Acoust 122(4), 346-354. Bahadori, R., Najafizadeh, M.M., 2015. Free vibration analysis of two-dimensional functionally graded axisymmetric cylindrical shell on Winkler – Pasternak elastic foundation by First-order Shear Deformation Theory and using Navier-differential quadrature solution methods. Applied Mathematical Modelling 39(16), 4877-4894. Bardell, N.S., Dunsdon, J.M., Langley, R.S., 1997. On the free vibration of completely free, open, cylindrically curved, isotropic shell panels. Journal of Vibration and Acoust 207(5), 647-670. Bardell, N.S., Dunsdon, J.M., Langley, R.S., 1998. Free vibration of thin, isotropic, open conical panels. Journal of Vibration and Acoust 217(2), 297-320 Iasnii, V., 2020 Technique and some study results of shape memory alloy-based damping device functional parameters. Scientific Journal of TNTU 97(1), 37 – 44. Kandasamy, S., Singh, A. V., 2006. Free vibration analysis of skewed open circular cylindrical shells. Journal of Vibration and Acoust 290(3), 1100-1118. Najafizadeh, M.M., Isvandzibaei, M.R., 2009. Vibration of functionally graded cylindrical shells based on different shear deformation shell theories with ring support under various boundary conditions. J Mech Sci Technol. 23. Pellicano, F., Avramov, K. V., 2007. Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk. Communicaoins in Nonlinear Science Numerical Simulation 12(4), 496-518. Pradyumna, S., Bandyopadhyay, J.N., 2008. Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation. Journal of Vibration and Acoust 318(1), 176-192. Singh, A. V.,1999. Free vibration analysis of deep doubly curved sandwich panels. Comput &Structure 73(1), 385-394. Tornabene, F., Viola, E., Inman, D.J., 2009. 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures. Journal of Vibration and Acoust 328(3), 259-290. Xie, K., Chen, M., 2021. An analytical method for free vibrations of functionally graded cylindrical shells with arbitrary intermediate ring supports. Journal of the Brazilian. Society of Mechanical. Sciences. Engineering 43, 100. Yasniy, P.V., Mykhailyshyn, M.S., Pyndus, Y.I., Hud, M., 2020. Numerical Analysis of Natural Vibrations of Cylindrical Shells Made of Aluminum Alloy. Materials Science 55(1), 502 – 508.