Educing anisotropy of strength properties of foam concrete bricks used for constructing a wall for curtain wall systems

Vestnik MGSU 8/2015
  • Tsykanovskiy Evgeniy Yul’evich - LLC DIAT Candidate of Technical Sciences, honorable builder of Russia, recipient of prize of the Government of the Russian Federation in Science and Technology, Director General, LLC DIAT, 3 Marshala Sokolovskogo str., Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Alisultanov Ramidin Semedovich - Moscow State University of Civil Engineering (National Research University) (MGSU) postgraduate student, Assistant Lecturer, Department of Engineering Geodesy, Moscow State University of Civil Engineering (National Research University) (MGSU), ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Oleynikov Aleksandr Vladimirovich - Moscow State University of Civil Engineering (National Research University) (MGSU) postgraduate student, Assistant Lecturer, Department of Engineering Geodesy, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kagan Mikhail Lazarevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Physical and Mathematical Sciences, Professor, Department of Higher Mathematics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation.
  • Pekov Islam Al’bertovich - Moscow State University of Civil Engineering (National Research University) (MGSU) postgraduate student, Department of Construction Materials and Products, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 92-100

Curtain wall systems are widely used in the modern construction at building industrial and civil buildings. Works of many Russian and foreign researchers are dedicated to investigation of such structures operation. The main task solved during the use of curtain wall systems is reduction of energy consumption for heating. In this regard the fa?ade systems may be fixed both at rather stable walls having though high thermal conductivity produced of brick and concrete and at the walls of aerated concrete (foam concrete) bricks having lower thermal conductivity. The authors offer preliminary results of the mechanical strength tests of foam concrete bricks. The anisotropy of strength under compression along different edges (axes) was educed, which reached up to 200 %. The authors underline the importance of account for anisotropy of strength properties of foam concrete bricks during the design of fa?ade systems and during monitoring of their state.

DOI: 10.22227/1997-0935.2015.8.92-100

References
  1. Bessonov I.V. Vliyanie temperaturno-vlazhnostnykh vozdeystviy na dolgovechnost’ fasadnykh sistem na osnove mineral’nykh vyazhushchikh [Influence of Temperature and Humidity on Durability of Facade Systems Based on Mineral Binders]. ALITinform: Tsement. Beton. Sukhie smesi [ALITinform: Cement. Concrete. Dry Mixes]. 2007, no. 1, pp. 35—41. (In Russian)
  2. TR 161-05. Tekhnicheskie rekomendatsii po proektirovaniyu, montazhu i ekspluatatsii navesnykh fasadnykh sistem [TR 161-05. Technical Recommendations on Design, Construction and Operation of Curtain wall Systems]. Pravitel’stvo Moskvy [The Government of Moscow]. Moscow, 2005, 15 p. (In Russian)
  3. Vorob’ev V.N. Navesnye fasadnye sistemy : problemy bezopasnosti, proektirovanie NFS, proizvodstvo montazhnykh rabot, krepezh, pozharnaya bezopasnost’, osnovnye pravila ekspluatatsii NFS [Curtain Wall Systems : the Issues of Safety, Design, Construction Works, Fixing, Fire Safety, Main Rules of Their Operation]. Vladivostok, Dal’Nauka Publ., 2011, 72 p. (In Russian)
  4. Granovskiy A.V., Kiselev D.A. Eksperimental’nye issledovaniya raboty ankernogo krepezha pri dinamicheskikh vozdeystviyakh [Experimental Research of Anchor Fastener at Dynamic Impacts]. Seysmostoykoe stroitel’stvo. Bezopasnost’ sooruzheniy [Seismic Construction. Safety of Structures]. 2012, no. 1, pp. 43—45. (In Russian)
  5. Tsykanovskiy E.Yu. Problemy nadezhnosti, bezopasnosti i dolgovechnosti NFS pri stroitel’stve vysotnykh zdaniy [Problems of Rliability, Safety and Durability of Curtain Wall Systems during Construction of High-rise Buildings]. Tekhnologii stroitel’stva [Technologies of Construction]. 2006, no. 1, pp. 20—22. (In Russian)
  6. Emel’yanova V.A., Nemova D.V., Miftakhova D.R. Optimizirovannaya konstruktsiya navesnogo ventiliruemogo fasada [Optimized Structure of Hinged Ventilated Facade]. Inzhenerno-stroitel’nyy zhurnal [Engineering and Construction Journal]. 2014, no. 6 (50), pp. 53—66. (In Russian)
  7. Kocks U.F., Tomé C.N., Wenk H.-R. Texture and Anisotropy: Preferred Orientations in Polycrystals and Their Effect on Materials Properties. Cambridge, 2000, 688 p.
  8. Ash J.E., Hughes B.P. Anisotropy and Failure Criteria for Concrete. Matériaux et Construction. Nov.—Dec. 1970, vol. 3, no. 6, pp. 371—374. DOI: http://dx.doi.org/10.1007/BF02478760.
  9. Yong-Hak Lee A., Yeong-Seong Park, Young-Tae Joo B., Won-Jin Sung C., Byeong-Su Kang D. Anisotropic Loading Criterion for Depicting Loading Induced Anisotropy in Concrete. Fracture Mechanics of Concrete and Concrete Structures — Recent Advances in Fracture Mechanics of Concrete — B.H. Oh, et al. (eds) 2010, Korea Concrete Institute, Seoul. Available at: http://framcos.org/FraMCoS-7/04-01.pdf. Date of access: 11.11.2014.
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  12. Callister W.D.Jr. Materials Science and Engineering, an Introduction. 3rd ed. New York, John Wiley & Sons, Inc., 1994, 820 p.
  13. Baranova A.A., Savenkov A.I. Penoobrazovateli i prochnost’ penobetona [Foam Maker and Foam Concrete Durability]. Izvestiya Sochinskogo gosudarstvennogo universiteta [Izvestiya Sochi State University]. 2014, no. 3 (31), pp. 10—14. (In Russian)
  14. Gulyaev V.T., Ganik S.V. Vliyanie kachestva peska na svoystva penobetona [Influence of Sand Quality on Foam Concrete Properties]. Vologdinskie chteniya : materialy nauchnoy konferentsii. Vladivostok, dekabr’ 2011. Vyp. 80 [Vologdinsky Readings : Materials of the Scientific Conference. Vladivostok, December 2011, issue 80]. Vladivostok, Izdatel’skiy dom Dal’nevostochnogo federal’nogo universiteta Publ., 2012, pp. 35—36. (In Russian)
  15. Kobidze T.E., Korovyakov V.F., Kiselev A.Yu., Listov S.V. Vzaimosvyaz’ struktury peny, tekhnologii i svoystv poluchaemogo penobetona [Interrelation of Foam Structure, Technology and Properties of the Obtained Concrete]. Stroitel’nye materialy [Construction Materials]. 2005, no. 1, pp. 26—29. (In Russian)
  16. Rubtsov O.I., Rubtsov I.V. Veroyatnostno-statisticheskie metody monitoringa sooruzheniy [Probability-Statistical Methods of Structures Monitoring]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2006, no. 6, pp. 44—45. (In Russian)
  17. Stepnov M.N. Statisticheskaya obrabotka rezul’tatov mekhanicheskikh ispytaniy [Statistical Processing of Mechanical Tests’ Results]. Moscow, Mashinostroenie Publ., 1972, 232 p. (In Russian)
  18. Doerffel K. Statistik in der analytischen Chemie. VEB Deutscher Verlag für Grundstoffindustrie, Leipzig, 1982.
  19. Volkov A.A., Rubtsov I.V. Postroenie kompleksnykh sistem prognozirovaniya i monitoringa chrezvychaynykh situatsiy v zdaniyakh, sooruzheniyakh i ikh kompleksakh [Design of Integrated Systems Designated for the Forecasting and Monitoring of Emergencies in Buildings, Structures and Their Clusters]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 1, pp. 208—212. (In Russian)
  20. Rubtsov I.V., Kukhta A.V. Nekotorye zadachi monitoringa i perspektivy ikh resheniya na primere fasadnykh sistem [Some Tasks of Monitoring and Prospects of Their Solution on the Example of Facade Systems]. Krovel’nye i izolyatsionnye materialy [Roofing and Insulating Materials]. 2007, no. 7, pp. 44—45. (In Russian)
  21. Rubtsov I.V. Monitoring na stadii vozvedeniya sooruzheniya [Monitoring on the Construction Stage of a Structure]. Integral [Integral]. 2007, no. 5, pp. 86—87. (In Russian)
  22. Rubtsov I.V. Zadachi monitoringa na stadii ekspluatatsii sooruzheniya [Monitoring Tasks on the Operation Stage of a Building]. Integral [Integral]. 2007, no. 6, pp. 102—103. (In Russian)

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SIMULATION OF THE stress-strain state of excavation BOUNDARIES in fractured massifs

Vestnik MGSU 4/2012
  • Nizomov Dzhahongir Nizomovich - Academy of Sciences of the Republic of Tajikistan Institute of Geology, Antiseismic Construction and Seismology, 8 (992) 919-35-57-34, Academy of Sciences of the Republic of Tajikistan, ushanbe, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Hodzhiboev Abduaziz Abdusattorovich - Tajik Technical University named after academic M.S. Osimi 8 (992) 918-89-35-14, Tajik Technical University named after academic M.S. Osimi, 10 Akademikov Radzhabovyh St., 734042, Dushanbe, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Hodzhiboev Orifdzhon Abduazizovich - Academy of Sciences of the Republic of Tajikistan Institute of Geology, Antiseismic Construction and Seismology 8 (992) 918-72-08-44, Academy of Sciences of the Republic of Tajikistan, Dushanbe, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 108 - 115

The authors have applied the method of boundary equations to resolve the problem of numerical calculation of the stress-strain state of arbitrary boundaries of excavation works in fractures massifs, if subjected to various impacts.
Benchmarking of the results have proven that the proposed model based on the method of boundary integral equations may be used to identify the concentrated stresses that the loose excavation boundaries in fractured massifs are exposed to.
The authors have developed an algorithm and a calculation pattern through the application of the method of boundary integral equations to calculate the values of stresses concentrated around arbitrary shape openings under impacts of various origins.
Any limiting process, namely, if or and any results are in line with the isotropic medium.
The proposed algorithm and calculation pattern may be used to research the concentrated stresses alongside the boundaries of hydrotechnical engineering facilities.

DOI: 10.22227/1997-0935.2012.4.108 - 115

References
  1. Lehnickiy S.G. Anizotropnye plastinki [Anisotropic Plates]. Moscow – Leningrad, Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoy literatury [State Publishing House of Theoretical Technical Literature]. 1947, 355 p.
  2. Lehnickiy S.G. Teoriya uprugosti anizotropnogo tela [Theory of Elasticity of Anisotropic Bodies]. Moscow – Leningrad, Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoy literatury [State Publishing House of Theoretical Technical Literature]. 1950, 299 p.
  3. Ruppeneyt K.V. Deformiruemost' massivov treschinovatykh gornykh porod [Deformability of Fractured Rock Massifs]. Moscow, Nedra Publ., 1975, 223 p.
  4. Roza S.A., Zelenskiy B.D. Issledovanie mehanicheskikh svoystv skal'nykh osnovaniy gidrotehnicheskikh sooruzheniy [Research of Mechanical Properties of Bedrock Foundations of Hydrotechnical Engineering Facilities]. Moscow, Jenergiya Publ., 1967. 392 p.
  5. Baklashov I.V. Deformirovanie i razrushenie porodnykh massivov [Deformation and Collapse of Rock Masses]. Moscow, Nedra Publ., 1988, 271 p.
  6. Baklashov I.V., Kartoziya B.A. Mehanicheskie processy v porodnykh massivakh [Mechanical Processes in Rock Masses]. Moscow, Nedra Publ., 1986, 272 p.
  7. Baklashov I.V., Kartoziya B.A. Mekhanika gornykh porod [Rock Mechanics]. Moscow, Nedra Publ., 1975, 271 p.
  8. Zelenskiy B.D. O metode ucheta vliyaniya treschinovatosti na deformacionnye svoystva skal'nykh massivov [About the Method of Analysis of the Impact of Fractures onto Deformation Properties of the Rock Massif]. Works of Leningrad Institute of Engineering and Economics. 1967, Issue No. 68, pp. 62—70.
  9. Zelenskiy B.D. Osnovnye napravleniya issledovaniy informaciy skal'nykh porod kak osnovaniy betonnykh plotin [Principal Lines of Information Research of Rock Massifs as Bedrocks of Concrete Dams]. Problemy inzhenernoy geologii v stroitel'stve [Problems of Engineering Geology in Construction]. Moscow, Gostrojizdat Publ., 1961, pp. 143—156.
  10. Krauch S., Starfild A. Metody granichnykh elementov v mekhanike tverdogo tela [Method of Finite Elements in Mechanics of Rigid Body]. Moscow, Mir Publ., 1987, 328 p.
  11. Kuznecov Ju.I., Pozinenko B.V., Pylaeva T.A. Ob anizotropii uprugikh svoystv treschinovatykh gornykh porod [About the Anisotropy of Elastic Properties of Fractured Rocks]. Academic Papers of Leningrad State University, Series of Physical and Geological Sciences. 1966, Issue no. 16, № 329, pp. 94—106.
  12. Pancini M. Result of the First Series of Tests Performed on a Model Reproducing the Actual Structure of the Abutment Rock of the Vaiont Dam. Geologie und Bauwesen Publ., H. 3, 4, 1962, pp. 105—119.
  13. Tokano M. Rupture Studies on Arch Dam Foundation by Means of Models. Geologie und Bauwesen Publ., H. 3, 4, 1961, pp. 99—121.
  14. Walsh J.B. The Effect of Cracks on the Uniaxial Elastic Compression of Rocks. Journal of Geophysical Research. Issue no. 70, №. 2, 1965, pp. 399—411.
  15. Nizomov Dzh.N. Metod granichnykh uravneniy v reshenii staticheskikh i dinamicheskikh zadach stroitel'noy mekhaniki [Method of Boundary Equations Used to Solve Static and Dynamic Problems of Structural Mechanics]. Moscow, ASV Publ., 2000, 283 p.
  16. Myuller L. Inzhenernaya geologiya. Mekhanika skal'nykh massivov [Engineering Geology. Mechanics of Rock Massifs]. Moscow, Mir Publ., 1971, 255 p.

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Discrete model in the analysis of residual stresses in unidirectional winding cylinders made of fiber-reinforced plastic

Vestnik MGSU 1/2015
  • Turusov Robert Alekseevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Physical and Mathematical Sciences, Professor, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Hamed Memaryanfard - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Strength of Materials, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 27-35

Today works in cosmos and at great sea depths are becoming very current. In order to execute these works tanks with great mass perfection are needed, which represents the relation of the product of pressure and inner volume to its mass. Usually such tanks are usually produced as a cocoon by winding methods, which can be automated. The simplest model of a cocoon is a cylinder with hemispheric blinds at the edges. The radial stresses arise in thick walled composite cylinders due to anisotropic thermal shrinkage during cooling process after curing. It also can lead to formation of radial cracks. The results of the analyses when a material is simplified to a homogenous orthotropic material show a very small residual radial stress value. In this paper we have used discrete model to evaluate residual radial stresses in thick-walled unidirectional filament wound cylinder and the results were compared to the results of homogenous orthotropic model.

DOI: 10.22227/1997-0935.2015.1.27-35

References
  1. Ekel’chik V.S., Klyunin O.S. Novyy podkhod k sozdaniyu oblegchennykh metallo-plastikovykh ballonov vysokogo davleniya dlya szhatykh gazov [New Approach to Creating Lightweight Plastic High Pressure Cylinders for Compressed Gases]. Voprosy materialovedeniya [Problems of Materials Science]. 2003, no. 2 (34), pp. 26—32. (In Russian)
  2. Turusov R.A., Kuperman A.M. Eksperimental’nye issledovaniya vliyaniya masshtabnogo faktora na uprugo-prochnostnye kharakteristiki odnonapravlennykh kolets iz stekloplastika [Experimental Studies of the Scale Factor Influence on the Elastic-Strength Properties of Unidirectional Fiberglass Rings]. Mekhanika kompozitsionnykh materialov i konstruktsiy [Journal on Composite Mechanics and Design]. 1998, vol. 4, no. 3, pp. 62—69. (In Russian)
  3. Turusov R.A., Korotkov V.N., Rogozinskiy A.K., Kuperman A.M., Sulyaeva Z.P. Tekhnologicheskaya monolitnost’ obolochek iz polimernykh kompozitnykh materialov [Monolithic Technology of the Shells of Polymer Composite Materials]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1987, no. 6, pp. 1072—1076. (In Russian)
  4. Plepys A.R., Farris R.J. Evolution of Residual Stresses in Three-Dimensionally Constrained Epoxy Resins. Polymer. 1990, vol. 31, no. 10, pp. 1932—1936. DOI: http://dx.doi.org/10.1016/0032-3861(90)90019-U.
  5. Turusov R.A., Korotkov V.N., Metlov V.V., Rozenberg B.A. Ostatochnye napryazheniya v gomogennykh i armirovannykh polimerakh [Residual Stresses in Homogeneous and Reinforced Polymers]. Ostatochnye tekhnologicheskie napryazheniya : trudy II Vsesoyuznogo simpoziuma [Technological Residual Stresses : Works of the 2nd All-Union Symposium]. Moscow, 1985, pp. 320—325. (In Russian)
  6. Korotkov V.N., Andreevska G.D., Rosenberg B.A. Temperature Stresses in Polymers and Composites. Mechanics of Composites. NY, March 1981, pp. 290—295.
  7. Schapery R.A. Thermal Expansion Coefficients of Composite Materials Based on Energy Principles. J. Composite Mater. 1968, vol. 2, no. 3, pp. 380—404. DOI: http://dx.doi.org/10.1177/002199836800200308.
  8. Greszak L.B. Thermoelastic Properties of Filamentary Composites. Presented at AIAA 6th Structures and Materials Conference. April 1965.
  9. Cairns D.S., Adams D.F. Moisture and Thermal Expansion Properties of Unidirectional Composite Materials and the Epoxy Matrix. Journal of Reinforced Plastics and Composites. 1983, vol. 2, no. 4, pp. 239—255. DOI: http://dx.doi.org/10.1177/073168448300200403.
  10. Mallick P.K. Fiber-Reinforced Composites: Materials, Manufacturing, and Design. 3rd ed. Taylor & Francis Group, LLC, 2007, 617 p.
  11. Southwell R.V. Introduction to the Theory of Elasticity for Engineers and Physicists. Dover Publications Inc., 1970, 509 p.
  12. Halpin J.C., Tsai S.W. Effect of Environment Factors on Composite Materials. Air Force tech. rep. AFML-TR-67-423. June 1969, 62 p.
  13. Hashin Z. Theory of Fiber Reinforced Materials. NASA tech. rep. contract no: NAS1-8818. November 1970.
  14. Jones R.M. Mechanics of Composite Materials. Crc Press, 1998, 538 p.
  15. Turusov R.A., Korotkov V.N., Rogozinskiy A.K. Temperaturnye napryazheniya v tsilindre iz kompozitnogo materiala v protsesse ego okhlazhdeniya i khraneniya [Thermal Stresses in a Cylinder Made of a Composite Material in the Process of Cooling and Storage]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1983, no. 2, pp. 290—295. (In Russian)
  16. Wilson J.F., Orgill G. Linear Analysis of Uniformly Stressed Orthotropic Cylindrical Shell. J. Appl. Mech. 1986, vol. 53, no. 2, pp. 249—256. DOI: http://dx.doi.org/10.1115/1.3171748.
  17. Yuan F.G. Analysis of Thick-Section Composite Cylindrical Shells under Hydrostatic Pressure. American Society for Testing and Materials. 1993, vol. 11, pp. 607—632.
  18. Timoshenko S. Theory of Elasticity. Mcgraw-Hill College; 1 edition, 1934, 416 p. (In Russian)
  19. Sadd M.H. Elasticity: Theory, Applications, and Numerics. Elsevier, 2004, 474 p.
  20. Issledovaniya po mekhanike kompozitsionnykh materialov i konstruktsiy [Researches on the Mechanics of Composite Materials and Structures]. Scientific Technical Society named after A.N. Krylov. Leningrad, Sudostroenie Publ., 1981, 94 p. (Materials on experience exchange; issue 344). (In Russian)

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NATURAL TRANSVERSE VIBRATIONS OF A PRESTRESSED ORTHOTROPIC PLATE-STRIPE

Vestnik MGSU 2/2012
  • Egorychev Oleg Aleksandrovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor 8 (495) 320-43-02, Moscow State University of Civil Engineering (MSUCE), 26 Jaroslavskoe shosse, Moscow, 129337, Russia.
  • 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 .
  • Brendje Vladimir Vladislavovich - Moscow State University of Civil Engineering (MSUCE) Senior Lecturer 8 (499) 161-21-57, 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 .

Pages 11 - 14

The article represents a new outlook at the boundary-value problem of natural vibrations of a homogeneous pre-stressed orthotropic plate-stripe. In the paper, the motion equation represents a new approximate hyperbolic equation (rather than a parabolic equation used in the majority of papers covering the same problem) describing the vibration of a homogeneous orthotropic plate-stripe. The proposed research is based on newly derived boundary conditions describing the pin-edge, rigid, and elastic (vertical) types of fixing, as well as the boundary conditions applicable to the unfixed edge of the plate. The paper contemplates the application of the Laplace transformation and a non-standard representation of a homogeneous differential equation with fixed factors. The article proposes a detailed representation of the problem of natural vibrations of a homogeneous orthotropic plate-stripe if rigidly fixed at opposite sides; besides, the article also provides frequency equations (no conclusions) describing the plate characterized by the following boundary conditions: rigid fixing at one side and pin-edge fixing at the opposite side; pin-edge fixing at one side and free (unfixed) other side; rigid fixing at one side and elastic fixing at the other side. The results described in the article may be helpful if applied in the construction sector whenever flat structural elements are considered. Moreover, specialists in solid mechanics and theory of elasticity may benefit from the ideas proposed in the article.

DOI: 10.22227/1997-0935.2012.2.11 - 14

References
  1. Egorychev O.O. Kolebanija ploskih elementov konstrukcij [Vibrations of Two-Dimensional Structural Elements]. Moscow, ASV, 2005, pp. 45—49.
  2. Arun K Gupta, Neeri Agarwal, Sanjay Kumar. Free transverse vibrations of orthotropic viscoelastic rectangular plate with continuously varying thickness and density// Institute of Thermomechanics AS CR, Prague, Czech Rep, 2010, Issue # 2.
  3. Filippov I.G., Cheban V.G. Matematicheskaja teorija kolebanij uprugih i vjazkouprugih plastin i sterzhnej [Mathematical Theory of Vibrations of Elastic and Viscoelastic Plates and Rods]. Kishinev, Shtinica, 1988, pp. 27—30.

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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.
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Problematics of stress-strain state research in units of metal structures

Vestnik MGSU 5/2014
  • Morozova Dina Vol'demarovna - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Senior Researcher, Department of Architectural and Structural Design, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Serova Elena Aleksandrovna - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Architectural and Structural Design, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 44-50

The article describes the experimental methods of determining stress-strain state of elements and structures with a brief description of the essence of each method. The authors focus mostly on polarization-optical method for determining stresses in the translucent optical sensing models made of epoxy resins. Physical component of the method is described in the article and a simple diagram of a circular polariscope is presented, as well as an example of the resulting interference pattern in illuminated monochromatic light. A polariscope, in its most general definition, consists of two polarizers. The polarizers sandwich a material or object of interest, and allows one to view the changes of the polarity of light passing through the material or object. Since we are unable to perceive the polarity of light with the naked eye, we are forced to use polariscopes to view the changes in polarity caused by the temporary birefringence of our photoelastic materials. A polariscope is constructed of two polarizers, each set perpendicular to the path of light transmitted through the setup. The first polarizer is called the "polarizer", and the second polarizer is called the "analyzer". The method how the polarizer works is quite simple: unpolarized light enters the polariscope through the polarizer, which allows through only the light of its orientation. This light then passes through the material under observation, and experiences some change in polarity. Finally, this light reaches the analyzer, which, like the polarizer, only lets the light of its orientation through.

DOI: 10.22227/1997-0935.2014.5.44-50

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