Бас редактор Байжуманов М. К
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N B B F . 2 0 1 1 1 2 3 1 1 1 2 1 1 1 2 0 0 Rd M B B B B N B B r K (33) The formula (19), (30), (33) fully describe the linearized law of solid mass movement. Let us now consider the boundary condition at the left end of the shell. The displacement of the mass points corresponding to the points of the median shell surface is summed up by the displacement of the center of the mass and the displacement due to rotation. Therefore, the vector of displacement of these points in the local shell basis r s y , , can be obtained by the formula: , 2 , 0 , 0 0 1 2 1 r r G V B B U where . , , w U s Let us indicate n as a single vector of the external normal to the median surface, where r s n n n , , - its components in the local basis. In non-deformable state n it coincides with 3 , and after deformation it is expressed by the following formula: . 3 1 1 1 2 1 2 1 B B G B B n ISSN 1607-2774 Семей қаласының Шәкәрім атындағы мемлекеттік университетінің хабаршысы № 4(92)2020 124 It's not hard to see that . , s s n n Equations of motion of the mass attached to the right face of the shell are recorded in a similar way (see Fig. 2): ; 2 0 1 1 1 2 F d R N B B V M . 2 0 1 1 1 2 3 1 1 1 2 1 1 1 2 0 0 K Rd M B B B B N B B r I Here, ´ indicates that the marked value refers to the second mass and . cos , sin 2 , sin 0 R h R r The conjugation conditions of the mass to the shell in this case are as follows: ; 0 0 1 2 1 r r G V B B U . 2 , 0 , 3 1 1 1 2 1 2 1 B B G B B n References 1. Non-Stationary aeroelasticity of the thin-walled constructions (1981) − Karmishin, A.V.; Skurlatov, E.D.; Startsev, V.G. et al. Edited by Karmishin A.V. − M.: Mashinostroenie, p. 240. 2. Bukenov M., Azimova D. (2015). Estimates for maxwell viscoelastic medium "in tension-rates". Eurasian mathematical journal. – L.N. Gumilyov Eurasian National University Nur-Sultan, Kazakhstan. Volume 10, Number 2 (2019), p. 30 – 36. DOI: https://doi.org/10.32523/2077-9879-2019-10-2-30-36 3. Bukenov M.M., Adamov A.A., Mukhametov E.M. (2019). Two-dimensional thermovisco-elastic waves in layered media. Bulletin of the Karaganda University. Mathematics series, 2 (94), 106-114. https://doi.org/10.31489/2019M2/106-114 4. Bulgaru O.E., Rybakova G.A. (1983). Numerical analysis of the wave fields and amplitude-frequency characteristics of the composite cylindrical shells. − News of the Academy of Sciences of MSSR. Series of Physical and Technical Sciences, No 2, p.4 − 10. [in Russian]. 5. Bukenov M., Ibrayev A., Zhussupova D., Azimova D. (2017). Numerical solution of a problem on bending oscillation of a rod. Bulletin of the Karaganda University. Mathematics series, № 2(86), 32-36. 6. Volmir A.S. (1976). Shells in a fluid and gas flow. Tasks of aeroelasticity. − Moscow: Nauka, p. 416. [in Russian]. 7. Volmir, A.S. (1972). Nonlinear dynamics of the plates and shells. Moscow: Nauka, p. 432. [in Russian]. 8. Ricarda R.B., Tetere G.A. (1974). Stability of the composite shells. − Riga: Zinatne, p. 310. [in Russian]. 9. Landau L.D., Livshits E.M. (1965). Mechanics. − Moscow: Nauka, p. 206. [in Russian]. 10. Pars JI.A. (1971). Analytical dynamics. − Moscow: Nauka, p. 635. [in Russian]. ҚОСЫЛҒАН МАССАЛАРЫ БАР СИММЕТРИЯЛЫ ЕМЕС ҚАБЫҚШАЛАРДЫҢ ТЕРБЕЛІСТЕРІНІҢ ТЕҢДЕУЛЕРІ М.М. Букенов, Е.М. Мухаметов, Е.А. Оспанов, С.Т. Сулейменова Қарқынды сыртқы жүктемелердің әсеріне төтеп бере алатын жұқа қабырғалы қабық конструкциялары авиақұрылыста, машина жасау, жүктеу/скачать 9,41 Mb. Достарыңызбен бөлісу:
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