Error
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering
  • Error loading Modules:Can't create/write to file '/var/lib/mysql/tmp/#sql_bd4_0.MYI' (Errcode: 30) SQL=SELECT id, title, module, position, content, showtitle, control, params FROM jos_modules AS m LEFT JOIN jos_modules_menu AS mm ON mm.moduleid = m.id WHERE m.published = 1 AND m.access <= 0 AND m.client_id = 0 AND ( mm.menuid = 8 OR mm.menuid = 0 ) ORDER BY position, ordering

DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Influence of the contact area and value of the linearly distributed and concentrated mass with a circular cylindrical shell on the frequency and modes of natural oscillations

Vestnik MGSU 7/2014
  • Seregin Sergey Valer'evich - Komsomolsk on Amur State Technical University (KnAGTU) postgraduate student, Department of Construction and Architecture, Komsomolsk on Amur State Technical University (KnAGTU), 27 Lenina st, Komsomolsk on Amur, 681013, Russian Federation; (4217) 24-11-41; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 64-74

Finite element method shows the influence of the joining area and the relative value of linearly distributed mass along the angular coordinate and concentrated mass on natural oscillations and forms of a closed, circular cylindrical shell. We defined the ranges of concentrated and linearly distributed mass, added to a shell. The variation of the concentrated mass contact area markedly affects the lower frequency of the "shell-mass" system, in this connection, reducing the area of the shell leads to a marked decrease of the lowest split natural frequencies. The greatest of split natural frequencies decreases markedly with the increasing of contact area. More complex (mixed) oscillation modes of the "shell-mass" are detected. Dependence of the geometric characteristics of the shell with a concentrated mass of the lower split natural frequencies lower tone of oscillations, thus, revealing the dependence of frequencies on the length of the sheath. Linear contact area variation of the added mass and the circular coordinate has little effect on the oscillation frequency of the "shell-mass" system.

DOI: 10.22227/1997-0935.2014.7.64-74

References
  1. Zarutskiy V. A., Telalov A. I. Kolebaniya tonkostennykh obolochek s konstruktivnymi osobennostyami. Obzor eksperimental'nykh issledovaniy [Oscillations of Thin Shells with Design Features. Experimental Researches]. Prikladnaya mekhanika [Applied Mechanics]. 1991, vol. 278, no. 4, pp. 3—9.
  2. Avramov K.V., Pellicano F. Dynamical Instability of Cylindrical Shell with Big Mass at the End. Reports of the National Academy of Science of Ukraine. 2006, no. 5, pp. 41—46.
  3. Seregin S.V. Issledovanie dinamicheskikh kharakteristik obolochek s otverstiyami i prisoedinennoy massoy [Research of Dynamic Shell Properties with Holes and Added Mass]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 4, pp. 52—58.
  4. Kubenko V.D., Koval'chuk P.S., Krasnopol'skaya T.S. Nelineynoe vzaimodeystvie form izgibnykh kolebaniy tsilindricheskikh obolochek [Nonlinear Interaction of Flexural Cylindrical Shell Oscillations]. Kiev, 1984, 220 p.
  5. Andreev L.V., Dyshko A.L., Pavlenko I.D. Dinamika plastin i obolochek s sosredotochennymi massami [Dynamics of Plates and Shells with Concentrated Masses]. Moscow, 1988, 200 p.
  6. Kubenko V.D., Koval’chuk P.S. Experimental Studies of the Oscillations and Dynamic Stability of Laminated Composite Shells. International Applied Mechanics. 2009, vol. 45, no. 5, pp. 514—533. DOI: http://dx.doi.org/10.1007/s10778-009-0209-4.
  7. Sivak V.F., Sivak V.V. Experimental Investigation into the Oscillations of Shells of Revolution with Added Masses. International Applied Mechanics. 2002, vol. 38, no. 5, pp. 623—627.
  8. Seregin S.V. Vliyanie prisoedinennogo tela na chastoty i formy svobodnykh kolebaniy tsilindricheskikh obolochek [Influence of Attached Body on Natural Oscillation Frequency Modes]. Stroitel'naya mekhanika i raschet sooruzheniy [Building Mechanics and Calculation Installations]. 2014, no. 3, pp. 35— 39.
  9. Trotsenko Yu.V. Frequencies and Modes of Cylindrical Shell Oscillation with Attached Stiff Body. Journal of Sound and Oscillation. 2006, vol. 292, no. 3—5, pp. 535—551.
  10. Amabili M., Garziera R., Carra S. The Effect Rotary Inertia of Added Masses on Oscillations of Empty and Fluid-filled Circular Cylindrical Shells. Journal of Fluids and Structures. 2005, vol. 21, no. 5—7, ðp. 449—458.
  11. Mallon N.J. Dynamic Stability of a Thin Cylindrical Shell with Top Mass Subjected to Harmonic Base-Acceleration. International Journal of Solids and Structures. 2008, vol. 45 (6), pp. 1587—1613.
  12. Amabili M., Garziera R., Carra S. The Effect of Rotary Inertia of Added Masses on Oscillations of Empty and Fluidfilled Circular Cylindrical Shells. Journal of Fluids and Structures. 2005, vol. 21, no. 5—7, pp. 449—458.
  13. Amabili M., Garziera R. Oscillations of Circular Cylindrical Shells with Nonuniform Constraints, Elastic Bed and Added Mass. Part III: Steady Viscous Effects on Shells Conveying Fluid. Journal of Fluids and Structures. 2002, vol. 16, no. 6, pð. 795—809.
  14. Leyzerovich G.S., Prikhod'ko N.B., Seregin S.V. O vliyanii maloy prisoedinennoy massy na kolebaniya raznotolshchinnogo krugovogo kol'tsa [Influence of Low Added Mass on Oscillations of Circular Spline with Varied Thickness]. Stroitel'stvo i rekonstruktsiya [Building and Reconstruction]. 2013, no. 4, pp. 38—41.
  15. Leyzerovich G.S., Prikhod'ko N.B. Seregin S.V. O vliyanii maloy prisoedinennoy massy na rasshcheplenie chastotnogo spektra krugovogo kol'tsa s nachal'nymi nepravil'nostyami [Influence of Low Added Mass on Frequency Spectrum of Circular Spline with Initial Imperfections]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Structural Analysis]. 2013, no. 6, pp. 49—51.
  16. Khalili S.M.R., Tafazoli S. Malekzadeh K. Fard. Natural Oscillations of Laminated Composite Shells with Uniformly Distributed Added Mass Using Higher Order Shell Theory Including Stiffness Effect. Journal of Sound and Oscillation. 2011, vol. 330, no. 26, ðð. 6355—6371.

Download

NATURAL TRANSVERSE VIBRATIONS OF AN ORTHOTROPIC PLATE-STRIP WITH FREE EDGES

Vestnik MGSU 7/2012
  • Egorychev Oleg Aleksandrovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Egorychev Oleg Olegovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor 8 (495) 287-49-14, Moscow State University of Civil Engineering (MSUCE), 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Brende Vladimir Vladislavovich - Moscow State University of Civil Engineering (MSUCE) Senior Lecturer, +7 (499) 161-21-57, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 26 - 30

In the article, the authors present their new formulation of the problem of the boundary value of natural vibrations of a homogeneous pre-stressed orthotropic plate-strip in different boundary conditions. A new approximate hyperbolic (in contrast to most authors) equation of oscillations of a homogeneous orthotropic plate-strip is used in the paper in the capacity of an equation of motion. Besides, the authors propose their newly derived boundary conditions for a free edge of the plate. The authors employ the Laplace transformation and a non-standard representation of the general solution of homogeneous differential equations with constant coefficients. The authors also provide a detailed description of the problem of free vibrations of a homogeneous orthotropic plate-strip, if rigidly attached in the opposite sides. The results presented in this article may be applied in the areas of construction and machine building, wherever flat structural elements are used. In addition, professionals in mechanics of solid deformable body and elasticity theory may benefit from the findings presented in the article.

DOI: 10.22227/1997-0935.2012.7.26 - 30

References
  1. Uflyand Ya.S. Rasprostranenie voln pri poperechnykh kolebaniyakh sterzhney i plastin [Wave Propagation in the Event of Transverse Vibrations of Rods and Plates]. Prikladnaya matematika i mekhanika [Applied Mathematics and Mechanics]. 1948, vol. 12, no. 33, pp. 287—300.
  2. Lyav A. Matematicheskaya teoriya uprugosti [Mathematical Theory of Elasticity]. Moscow-Leningrad, ONTI Publ., 1935, 674 p.
  3. Egorychev O.O. Kolebaniya ploskikh elementov konstruktsiy [Vibrations of Flat Elements of Structures]. Moscow, ASV Publ., 2005, pp. 45—49.
  4. Egorychev O.A., Egorychev O.O., Brende V.V. Vyvod chastotnogo uravneniya sobstvennykh poperechnykh kolebaniy predvaritel’no napryazhennoy plastiny uprugo zakreplennoy po odnomu krayu i zhestko zakreplennoy po-drugomu [Derivation of a Frequency Equation of Natural Transverse Vibrations of a Pre-stressed Elastic Plate, If One Edge Is Fixed Rigidly and the Other One is Fixed Elastically]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 3, pp. 246—251.
  5. Filippov I.G., Cheban V.G. Matematicheskaya teoriya kolebaniy uprugikh i vyazkouprugikh plastin i sterzhney [Mathematical Theory of Vibrations of Elastic and Viscoelastic Plates and Rods]. Kishinev, Shtiintsa Publ., 1988, pp. 27—30.
  6. Gupta A.K., Aragval N., Kumar S. Svobodnye kolebaniya ortotropnoy vyazkouprugoy plastiny s postoyanno menyayushcheysya tolshchinoy i plotnost’yu [Free Transverse Vibrations of an Orthotropic Visco-Elastic Plate with Continuously Varying Thickness and Density]. Institute of Thermal Dynamics, Prague, Czech Republic, 2010, no. 2.
  7. Egorychev O.A., Egorychev O.O., Brende V.V. Sobstvennye poperechnye kolebaniya predvaritel’no napryazhennoy ortotropnoy plastinki-polosy uprugo zakreplennoy po odnomu krayu i svobodnoy po drugomu [Natural Transverse Vibrations of a Pre-stressed Orthotropic Plate, If One Edge Is Fixed Elastically and the Other One Is Free]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 3, pp. 252—258.
  8. Lol R. Poperechnye kolebaniya ortotropnykh neodnorodnykh pryamougol’nykh plastin s nepreryvno menyayushcheysya plotnost’yu [Transverse Vibrations of Orthotropic Non-homogeneous Rectangular Plates with Continuously Varying Density]. Indian University of Technology, 2002, no. 5.
  9. Egorychev O.A., Brende V.V. Sobstvennye kolebaniya odnorodnoy ortotropnoy plastiny [Natural Vibrations of a Homogeneous Orthotropic Plate]. Department of Industrial and Civil Engineering, 2010, no. 6, pp.
  10. Lekhnitskiy S.G. Teoriya uprugosti anizotropnogo tela [Theory of Elasticity of an Anisotropic Body]. Moscow, Nauka. Fizmatlit Publ., 1977.

Download

Results 1 - 2 of 2