Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) Web of Science
  • BUILDING STRUCTURES, BUILDINGS AND FACILITIES
  • Deflections and Frequencies of Own Fluctuations of a System of Cross Trusses on a Square Plan with Various Schemes of Bearing
  • UDC 624.014
    Andrey V. TURKOV, e-mail: aturkov@bk.ru
    Southwest State University, ul. 50 let Oktyabrya, 94, Kursk 305040, Russian Federation
    Olga A. VETROVA, e-mail: vetrovaoly@mail.ru
    Kirill V. MARFIN, e-mail: marfinkirill@yandex.ru
    Orel State University named after I. S. Turgenev, Komsomolskaya ul., 95, Orel 302026, Russian Federation
    Abstract. The systems of cross steel trusses on a square plane as bearing structures of roofs (floors) of buildings and structures are presented. To assess the stiffness of the coating structures, studies of the stiffness parameters of the system of cross steel trusses - frequencies of natural transverse vibrations and maximum deflections were carried out. The relationship between the fundamental frequency of free transverse oscillations of the systems of cross steel trusses on the square plane and their maximum deflections under the action of uniformly distributed load depending on the system support scheme is considered. Dependences of deflections and frequencies of transverse oscillations on the ratio of the number of supports on the short side of the structure to the number of supports on the long side are constructed. It is shown that with a decrease in the number of supports, there is an increase in deflections, a decrease in the free-oscillation rate, as well as a remoteness of the design coefficient from its analytical value for rectangular isotropic plates of constant thickness. The article is of scientific interest for specialists assessing the rigidity of structures of regular structure.
    Key words: cross truss system, static load, natural frequency, maximum deflection, support scheme.
  • REFERENCES
    1. Ignat'ev V. A. Raschyot regulyarnyh sterzhnevyh system [Calculation of regular rod systems]. Saratov, SVVHU Publ., 1973. 433 p. (In Russian).
    2. Ignat'ev V. A., Galishnikova V. V. Regulyarnye sterzhnevye sistemy (teoriya i metody rascheta) [Regular rod system (theory and calculation methods)]. Volgograd, VolgGASU Publ., 2006. 552 p. (In Russian).
    3. Lubo L. N., Mironov B. A. Plity regulyarnoj prostranstvennoj struktury [Plates of regular spatial structure]. Leningrad, Strojizdat Publ., 1976. 145 p. (In Russian).
    4. Sosis P. M., Hakalo B. P. Raschyot nerazreznyh i perekryostnyh [Calculation of continuous and cross]. Kiev, Gostekhizdat USSR Publ., 1958. 231 p. (In Russian).
    5. Labudin B. V. The influence of element stiffness and compliance of nodes on the strain distribution in the cross-systems. Konstrukcii iz kleenoj drevesiny i plastmass [Laminated wood and plastic structures]. Leningrad, LISI Publ., 1983, pp. 56-60. (In Russian).
    6. Hisamov R. I. Konstruirovanie i raschyot strukturnyh pokrytij [Design and calculation of structural coatings]. Kazan', KHTI Publ., 1977. 96 p. (In Russian).
    7. Makarov A. A., Turkov A. V. Deflections and frequencies of own fluctuations of cross-beam systems on the rectangular plan with different sizes of cells with due regard for flexibility of nodal connections. Promyshlennoe i grazhdanskoe stroitel'stvo, 2014, no. 2, pp. 22-24. (In Russian).
    8. Turkov A. V., Makarov A. A. Deflections and frequencies of own fluctuations of cross-beams systems with different sizes of cells on a square plan, depending on the schema support. Stroitel'stvo i rekonstrukciya, 2013, no. 6, pp. 49-52. (In Russian).
    9. Marutyan A. S., Pavlenko Yu. I. Approximate calculation of cross-systems on static effects. Stroitel'naya mekhanika i raschet sooruzhenij, 2009, no. 4, pp. 14-20. (In Russian).
    10. Ruzhanskij I. L. Constructive features of roofing bearing metal structures for air terminal complex Vnukovo-1 in Moscow. Promyshlennoe i grazhdanskoe stroitel'stvo, 2009, no. 5, pp. 6-8. (In Russian).
    11. Marutyan A. S. Legkie metallokonstrukcii iz perekrestnyh system [Light metal structures from cross-systems]. Pyatigorsk, RIA KM Publ., 2009. 348 p. (In Russian).
    12. Marutyan A. S., Pavlenko Yu. I. Approximate calculation of cross-systems on static effects. Stroitel'naya mekhanika i raschet sooruzhenij, 2009, no. 4, pp. 14-20. (In Russian).
    13. Marutyan A. S., Pavlenko Yu. I. Approximate calculation of cross-systems on seismic effects. Stroitel'naya mekhanika i raschet sooruzhenij, 2010, no. 1, pp. 47-52. (In Russian).
    14. Marutyan A. S. Razrabotka i issledovanie, proektirovanie i vnedrenie stal'nyh ferm i ih perekrestnyh sistem tipa "Pyatigorsk" [Development and research, design and implementation of steel trusses and their cross-type systems "Pyatigorsk"]. Pyatigorsk, PGGTU Publ., 2012. 207 p. (In Russian).
    15. Marutyan A. S., Ekba S. I. Proektirovanie stal'nyh ferm pokrytij iz prya-mougol'nyh, rombicheskih i pyatiugol'nyh zamknutyh gnutosvarnyh profilej [Design of steel trusses of coatings from straight-mo-coal, rhombic and pentagonal closed benthic profiles]. Pyatigorsk, SKFU Publ., 2012. 120 p. (In Russian).
    16. Marutyan A. S. Eearthquake-Resistant constructions of cross-systems, including Pyatigorsk modules, and approximate calculation of their oscillations. Sovremennaya nauka i innovacii, 2016, no. 4, pp. 135-143. (In Russian).
    17. Zueva I. I., Ivanova S. L. Design Features of structural con-structions of the "tsniisk" type. Vestnik Permskogo nacional'nogo issledovatel'skogo politekhnicheskogo universiteta. Stroitel'stvo i arhitektura, 2013, no. 1, pp. 91-97. (In Russian).
    18. Nikityuk A. V., Moskovkina A. A., Zueva I. I. Advantages and disadvantages of structural structures. Vestnik Permskogo nacional'nogo issledovatel'skogo politekhnicheskogo universiteta. Stroitel'stvo i arhitektura, 2011, no. 1, pp. 99-104. (In Russian).
    19. Korobko V. I. About one "remarkable" regularity in the theory of elastic plates. Izvestiya vuzov. Stroitel'stvo i arhitektura, 1989, no. 11, pp. 32-36. (In Russian).
    20. Korobko V. I. Izoperimetricheskij metod v stroitel'noj mekhanike: Teoreticheskie osnovy izoperimetricheskogo metoda [Isoperimetric method in structural mechanics: Theoretical basis of isoperimetric method]. Moscow, ASV Publ., 1997. 396 p. (In Russian).
  • For citation: Turkov A. V., Vetrova O. A., Marfin K. V. Deflections and Frequencies of Own Fluctuations of a System of Cross Trusses on a Square Plan with Various Schemes of Bearing. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2018, no. 11, pp. 42-45. (In Russian).


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