Dynamic Stability of a Cylindrical Shell Reinforced by Longitudinal Ribs and a Hollow Cylinder Under the Action of Axial Forces
The dynamic stability of a cylindrical orthotropic shell reinforced by longitudinal ribs and a hollow cylinder under the action of axial forces changing harmonically with time was investigated with regard for the axial contact interaction of the shell with the ribs. A solution of the differential eq...
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| Veröffentlicht in: | Journal of engineering physics and thermophysics 2016-05, Vol.89 (3), p.747-753 |
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| container_title | Journal of engineering physics and thermophysics |
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| creator | Bakulin, V. N. Volkov, E. N. Nedbai, A. Ya |
| description | The dynamic stability of a cylindrical orthotropic shell reinforced by longitudinal ribs and a hollow cylinder under the action of axial forces changing harmonically with time was investigated with regard for the axial contact interaction of the shell with the ribs. A solution of the differential equations defining this process has been obtained in the form of trigonometric series in the angular and time coordinates. A two-term approximation of the Mathieu–Hill equations of motion was used for construction of the main region of instability of the shell. As a result, the problem was reduced to a system of algebraic equations for components of displacements of the shell at the locations of the ribs. The problem for uniformly spaced ribs was solved in the explicit form. A numerical example of this solution is presented. |
| doi_str_mv | 10.1007/s10891-016-1435-3 |
| format | Article |
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N. ; Volkov, E. N. ; Nedbai, A. Ya</creator><creatorcontrib>Bakulin, V. N. ; Volkov, E. N. ; Nedbai, A. Ya</creatorcontrib><description>The dynamic stability of a cylindrical orthotropic shell reinforced by longitudinal ribs and a hollow cylinder under the action of axial forces changing harmonically with time was investigated with regard for the axial contact interaction of the shell with the ribs. A solution of the differential equations defining this process has been obtained in the form of trigonometric series in the angular and time coordinates. A two-term approximation of the Mathieu–Hill equations of motion was used for construction of the main region of instability of the shell. As a result, the problem was reduced to a system of algebraic equations for components of displacements of the shell at the locations of the ribs. The problem for uniformly spaced ribs was solved in the explicit form. 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As a result, the problem was reduced to a system of algebraic equations for components of displacements of the shell at the locations of the ribs. The problem for uniformly spaced ribs was solved in the explicit form. A numerical example of this solution is presented.</description><subject>Approximation</subject><subject>Classical Mechanics</subject><subject>Complex Systems</subject><subject>Cylinders</subject><subject>Cylindrical shells</subject><subject>Dynamic stability</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Equations of motion</subject><subject>Heat and Mass Transfer</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Ribs</subject><subject>Thermodynamics</subject><issn>1062-0125</issn><issn>1573-871X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kcFu3CAQhq2qkZqmfYDeOLYHJ2DA4ONq2zSRVqq0m0i9IRaPN0QspICV-NRXD45zySVCGkbD94-Y-avqG8HnBGNxkQiWHakxaWvCKK_ph-qUcEFrKcjfjyXHbVNeG_6p-pzSPca4k4yeVv9_Tl4frUG7rPfW2TyhMCCN1pOzvo_WaId2d-Ac2oL1Q4gGerSf0Cb4g81jb30BtnafkPZ90V0F58Ljqxwiun2J-Q7QymQb_Nx99WSL6HLulb5UJ4N2Cb6-3mfV7eWvm_VVvfnz-3q92tSGdizPEVPaSU44a4C2Qg4N44wOxBDWyc6UGt1jgbFsBWjTMjaAYcJwo4nEhp5V35e-DzH8GyFldbTJlLm0hzAmRWTDOWkbQQt6vqAH7UDNQ-eoTTk9lEUFD4Mt9RXreEclFbwIfrwRFCbDUz7oMSV1vdu-ZcnCmhhSijCoh2iPOk6KYDU7qRYnVXFSzU6q-UPNokmF9QeI6j6MsSw-vSN6BgqCnw8</recordid><startdate>20160501</startdate><enddate>20160501</enddate><creator>Bakulin, V. 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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Approximation Classical Mechanics Complex Systems Cylinders Cylindrical shells Dynamic stability Engineering Engineering Thermodynamics Equations of motion Heat and Mass Transfer Industrial Chemistry/Chemical Engineering Mathematical analysis Mathematical models Ribs Thermodynamics |
| title | Dynamic Stability of a Cylindrical Shell Reinforced by Longitudinal Ribs and a Hollow Cylinder Under the Action of Axial Forces |
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