On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid
The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated ba...
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| Veröffentlicht in: | Mechanics of solids 2020-09, Vol.55 (7), p.1071-1076 |
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| container_end_page | 1076 |
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| container_issue | 7 |
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| container_title | Mechanics of solids |
| container_volume | 55 |
| creator | Banichuk, N. V. Afanas’ev, V. S. Ivanova, S. Yu |
| description | The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated based on the concept of elastic equilibrium of a curved panel under the action of inertial forces, hydrodynamic reaction, heat, and in-plane tensions (compressions) applied to the panel. The derived nonlinear boundary value problem is solved by the perturbation method. As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated. |
| doi_str_mv | 10.3103/S0025654420070055 |
| format | Article |
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As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.</description><identifier>ISSN: 0025-6544</identifier><identifier>EISSN: 1934-7936</identifier><identifier>DOI: 10.3103/S0025654420070055</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Axial stress ; Bifurcations ; Boundary value problems ; Classical Mechanics ; Curved panels ; Ideal fluids ; Motion stability ; Perturbation methods ; Physics ; Physics and Astronomy ; Transverse oscillation</subject><ispartof>Mechanics of solids, 2020-09, Vol.55 (7), p.1071-1076</ispartof><rights>Allerton Press, Inc. 2020. ISSN 0025-6544, Mechanics of Solids, 2020, Vol. 55, No. 7, pp. 1071–1076. © Allerton Press, Inc., 2020. 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S.</creatorcontrib><creatorcontrib>Ivanova, S. Yu</creatorcontrib><title>On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid</title><title>Mechanics of solids</title><addtitle>Mech. Solids</addtitle><description>The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated based on the concept of elastic equilibrium of a curved panel under the action of inertial forces, hydrodynamic reaction, heat, and in-plane tensions (compressions) applied to the panel. The derived nonlinear boundary value problem is solved by the perturbation method. As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.</description><subject>Axial stress</subject><subject>Bifurcations</subject><subject>Boundary value problems</subject><subject>Classical Mechanics</subject><subject>Curved panels</subject><subject>Ideal fluids</subject><subject>Motion stability</subject><subject>Perturbation methods</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Transverse oscillation</subject><issn>0025-6544</issn><issn>1934-7936</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kE9Lw0AQxRdRsFY_gLcFz9HZ_8lRi7WFSgvVc9hsNjUl3dTdROi3d0MED-JhmGHe772BQeiWwD0jwB62AFRIwTkFUABCnKEJyRhPVMbkOZoMcjLol-gqhD2ABErJBG3WDncfFm873dUGP9VV700cW4fbCmv82n7VbocXVne2xBvtbBNZb_WhqV3cFCesHV6WVjd43vR1eY0uKt0Ee_PTp-h9_vw2WySr9cty9rhKDCOyS6QVSmUiJZkciheq5ABclkwQIQzPMiV0YXiqLZW8FJwKQ1MleWoLqDLOpuhuzD369rO3ocv3be9dPJlTnspUUsJYpMhIGd-G4G2VH3190P6UE8iHx-V_Hhc9dPSEyLqd9b_J_5u-AZSYa68</recordid><startdate>20200901</startdate><enddate>20200901</enddate><creator>Banichuk, N. 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Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-6e57795819681964b7d40046d35155c49975abc48ae264d5425c287648eb0f943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Axial stress</topic><topic>Bifurcations</topic><topic>Boundary value problems</topic><topic>Classical Mechanics</topic><topic>Curved panels</topic><topic>Ideal fluids</topic><topic>Motion stability</topic><topic>Perturbation methods</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Transverse oscillation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Banichuk, N. V.</creatorcontrib><creatorcontrib>Afanas’ev, V. S.</creatorcontrib><creatorcontrib>Ivanova, S. 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The problem of static buckling (bifurcation) is formulated based on the concept of elastic equilibrium of a curved panel under the action of inertial forces, hydrodynamic reaction, heat, and in-plane tensions (compressions) applied to the panel. The derived nonlinear boundary value problem is solved by the perturbation method. As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S0025654420070055</doi><tpages>6</tpages></addata></record> |
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| subjects | Axial stress Bifurcations Boundary value problems Classical Mechanics Curved panels Ideal fluids Motion stability Perturbation methods Physics Physics and Astronomy Transverse oscillation |
| title | On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid |
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