NATURAL VIBRATIONS OF LONGITUDINALLY STRENGTHENED CYLINDRICAL SHELLS WITH AN ELASTIC FILLER
Keywords:
connection, joint, modulus of elasticity, deformation, total energy, coefficient of friction.Abstract
In the work, using the variational theory, the oscillations of a thin long reinforced round shape with dynamic wave filling, with axial assistance and taking into account friction in contact were investigated. They were constructed depending on the period of natural oscillation from wave formation in the circumferential direction taking into account friction in contact between the shell and the filling. It was established that the results of the study practically do not depend on the characteristics of the material, since the dependence of the frequency on the Poisson ratio does not depend on the modulus of elasticity.
References
1.Амиро И.Я., ЗаруцкийВ.А.. Теория ребристых оболочек. Методы расчета оболочек. «Наукова думка», 1980, 367 с.
2.Safarov I.I., Almuratov Sh.N., Teshaev M.Kh.,Homidov F.F., Rayimov D.G. On the dynamic stress-strain state of isotropic rectangular plates on an elastic base under vibration loads., Indian Journal of Engineering 17 (47), 127–133 (2020).
3.Teshaev, M., Safarov, I., Boltaev, Z., Sobirova, R., Ruziev, T.
4.Propagation of Natural Waves in Extended Viscoelastic Plates of Variable Thickness. AIP Conference ProceedingsЭта ссылка отключена., 2022, 2647, 030002
5.Teshaev, M.; Safarov, I.; (...); Ruziev, T. Propagation of natural waves in extended viscoelastic plates of variable thickness., в сб.: AIP Conference Proceedings, (Published, 2022).
6.Ильгамов М.А., Ильгамов М.А., Иванов В.А., Гулин Б.А. Прочность, устойчивость и динамика оболочек с упругим заполнителем. М., Наука, 1977, 331с.
7.Латифов Ф.С.. Колебания оболочек с упругой и жидкой средой. Баку, «Элм», 1999, 164с.
8.Alexey A. Semenov. Model of deformation stiffened orthotropic shells under dynamic loading. Journal of Siberian Federal University. Mathematics and Physic 2016, 9(4), p.485-497.
9.Safarov I.I., Teshaev M.Kh. Dynamic damping of vibrations of a solid body mounted on viscoelastic supports. Izvestiya Vysshikh Uchebnykh Zavedeniy. Prikladnaya Nelineynaya Dinamika. Vol. 31, No. 1, 2023, pp.63-73 DOI 10.18500/0869-6632-003021
10.Teshaev, M.K., Safarov, I.I., Kuldashov, N.U., Ishmamatov, M.R., Ruziev, T.R. On the Distribution of Free Waves on the Surface of a Viscoelastic Cylindrical Cavity, Journal of Vibration Engineering and Technologies, 8(4), 2020, pp. 579–585 DOI 10.1007/s42417-019-00160-x
11.Ismoil Safarov and Muhsin Teshaev. Control of resonant oscillations of viscoelastic systems. Theoretical and applied mechanics, 2023, OnLine-First. DOI: https://doi.org/10.2298/TAM220510007S
12.Босяков С.М., Чживэй В. Анализ свободных колебаний цилиндрических оболочки из стеклопластика при граничных условиях Навье. Механика машин, механизмов и материалов. 2011, №3, с. 24-27.
13.F.S. Latifov, F.A. Seyfullaev, Sh. Sh. Alyev. Free vibrations reinforced by transverse ribs of an anisotropic cylindrical shell made of fiberglass with a liquid flowing in it. Applied mechanics and technical physics. 2016, Vol. 57, No. 4, pp. 158-162.
14.Safarov, I.I., Teshaev, M.Kh., Boltaev, Z.I., Ishmamatov, M.R., Ruziyev, T.R. Propagation of Proper Waves in a Viscoelastic Timoshenko Plate of Variable Thickness. International Journal of Engineering Trends and Technology, 71(1), 2023, pp. 25–30 DOI 10.14445/22315381/IJETT-V71I1P203
15.A.I. Seyfullayev, K. A. Novruzova, Oscillations of longitudinally reinforced orthotropic cylindrical shell filled with a viscous fluid, Eastern-European Journal of Enterprise Technologies, (2015),no.3/7(75),29-33
16.Мамедов Дж.Н. Свободные колебания цилиндрических оболочек с заполнителем, усиленными продольными ребрами при осевом сжатии с учетом дискретных размещений ребер. Механика машиностроение, 2007, № 4, ст.7-11.