The article calculation of bulk material hopper at dynamic loads is considered. This calculation is a reference for assessing the strength of the structure under possible earthquake conditions. It is shown that in earthquake conditions such structures do not withstand loads arising during vibrations. The use of mathematical methods makes it possible to select both the thickness of the hopper shell and the parameters of the reinforcement ribs, which, together, give a significant economic effect, which means that the structure will withstand any fluctuations inherent in a given point of ground movement. Mathematical modeling methods are now increasingly being used to select device parameter values that are able to provide strength, stability and durability to the structure for the most adverse operating conditions. It should be noted that calculations for the strength of cylindrical bunkers of bulk materials from the impact of possible earthquakes (which is typical for the Crimea) were not carried out. The article proposes an algorithm for calculating the strength of a cylindrical bunker taking into account the effect of seismic load. Shear deformations and structure vibrations for possible earthquakes up to 9 points are considered. Research subject. Study of the stress-strain state of the hopper shell under unsteady dynamic impact. Materials and methods. Development of models of oscillation process of cylindrical thin-walled objects and their study in terms of ensuring strength and stability. Simulation of oscillatory processes relies on well-known methods adopted in practice. Results. As a result of the analysis of various mathematical models of vibrations of tanks with bulk material, we obtained movements of system points. Having these data, the internal forces in the cylindrical shell under dynamic loads are easily determined. Conclusions. When analyzing the reaction of structures filled with loose material, in addition to calculating their bending as beams with an infinite number of degrees of freedom, one should also take into account the calculation of their local deformation of the walls, which affects the formation of the attached masses of the liquid contained in them.
dynamic strength of cylindrical hoppers, seismic loads, vibration forms, cylindrical shell of the hopper, material rod with an infinite number of degrees of freedom
1. Chemodurov, V.T. Modelirovanie sistem: monografiya / V. T. Chemodurov, E. V. Litvinova. – Simferopol': IT «ARIAL», 2016. – 236 s.
2. Posobie po proektirovaniyu predpriyatiy, zdaniy i sooruzheniy po hraneniyu i pererabotke zerna (k SNiP 2.10.05-85 «Predpriyatiya, zdaniya i sooruzheniya po hraneniyu i pererabotke zerna») / CNII
3. SP 359.1325800.2017 Silosy stal'nye vertikal'nye cilindricheskie dlya hraneniya sypuchih produktov. Pravila proektirovaniya. – Moskva: Standartinform, 2018. – 20 s.
4. Chapaev T.M., Balkizov A.B., Sasikov A.S., Shogenova Zh.H., Kushaeva E.A. Analiz izvestnyh teoreticheskih i eksperimental'nyh issledovaniy ustoychivosti stenki cilindricheskogo zernobunkera // IVD.
5. Emkosti dlya sypuchih gruzov v transportno-gruzovyh sistemah / I.V. Goryushinskiy, I.I. Kononov, V.V. Denisov, E.V. Goryushinskaya, N.V. Petrushkin. Pod obschey redakciey I.V. Goryushinskogo: Uchebnoe
6. Bezuhov, N.I. Ustoychivost' i dinamika sooruzheniy v primerah i zadachah: Uchebnoe posobie dlya stroitel'nyh special'nostey vuzov / N.I. Bezuhov, O.V. Luzhin, N.V. Kolkunov. 3-e izd., pererab. – M.:
7. SP 14.13330.2018 Stroitel'stvo v seysmicheskih rayonah. Aktualizirovannaya redakciya SNiP II-7-81* (s Izmeneniem №1). – Moskva: Standartinform, 2018. – 114 s.
8. Nemchinov, Yu.I. Seysmostoykost' zdaniy i sooruzheniy / Yu.I. Nemchinov. – Kiev: NIISK Minregionstroya Ukrainy, 2008. – 480 s.: il.
9. Nazarov Yu.P., Poznyak E.V., Simbirkin V.N., Kurnavin V.V. Raschet konstrukciy lineyno-spektral'nym metodom pri differencirovannom seysmicheskom dvizhenii grunta, zadannom akselerogrammami.
10. Percev, A.K. Dinamika obolochek i plastin (Nestacionarnye zadachi) / A.K. Percev, E.G. Platonov. – L.: Sudostroenie, 1987. – 316 s.
11. Pogorelov, V.I. Stroitel'naya mehanika tonkostennyh konstrukciy / V. I. Pogorelov. – SPb.: BHV – Peterburg, 2007. – 528 s.
12. Nazarov, Yu. P. Analiticheskie osnovy rascheta sooruzheniy na seysmicheskie vozdeystviya / Yu. P. Nazarov. – M.: Nauka, 2010. – 468 c.
13. Shakirzyanov, R.A. Dinamika i ustoychivost' sooruzheniy: Uchebnoe posobie. − 2-e pererab. izd. / R.A. Shakirzyanov, F.R. Shakirzyanov. − Kazan': Izd-vo Kazansk. gos. arhitekt.-stroit. un-ta, 2015. − 120 s.
