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2015, № 1 (176)

Gavrilov A.A., Morozov N.A., Vlasov U.L. METHOD OF CALCULATION OF NATURAL FREQUENCY FOR CRANE BEAMSThis article describes a developed method analytical calculation of natural frequencies of suspended overhead cranes taking into account the changes of the middle surface of the bending and restrained torsion. Accounting changes the middle surface leads to the calculation scheme less rigid design and brings it to the real object. The analytical expressions for determining the values of the natural oscillation frequencies of one– and two-span crane beams. Compared the values of natural frequencies obtained by the developed method, with the finite element analysis using APM WinMachine and Autodesk Inventor. It was revealed that the discrepancy between the results of the calculations do not exceed 3% for the flexural vibrations and 10% for torsion, due to the lack of consideration of internal friction. It was found that the frequency of forced oscillations crane beams are quite close to their natural frequency. This allows the use of the resulting technique to eliminate the possibility of resonance in the construction crane beams and their elements.Key words: beam crane, vibrations, natural frequency, waveform, straining.


1 Beilin, V.А. Determining the frequency of free flexural– torsional vibrations of thin-walled curved rods considering deformation rotation of sections / V.А. Beilin, G.V. Lazareva // L.: Leningr. inzh.-stroit. inst. — 1985. — 13p.

2 Vlasov, V.Z. Thin-walled elastic rods. М.: Fizmatgiz, 1959. 568 p.

3 Gavrilov, A.A. The influence of geometric characteristics on the frequencies of free flexural vibrations of thin straight rods / A.A. Gavrilov, L.I. Kudina, G.V. Kucha, N.A. Morozov // Vestnik OGU, — 2011. — №5. — p.146 — 150.

4 Gavrilov, A.A. The strength and stiffness of thin-walled rods at flexural vibrations/ A.A. Gavrilov, N.A. Morozov // Vestnik OGU, — 2012. — №4. — p.253 — 257.

5 Gavrilov, A.A. Estimation of the strength of thin-walled rods at flexural vibrations using a fictitious loads / A.A. Gavrilov, N.A. Morozov, U.L. Vlasov // Vestnik OGU. — 2014. — №1. — p.167 — 170.

6 Grebenuk, G.I. Calculation and optimization of continuous beam of a thin-walled profile / G.I. Grebenuk, A.A. Gavrilov, E.V. Yankov // Isvestiya vuzov. Stroitelstvo, №7. — Novosibirsk: NGASU (Sibstrin), 2013. — p. 3-11.

7 Korbut, B.А. On the dynamical theory of thin-walled curved rods / B.А. Korbut, G.V. Lazareva // Prikladnaya mehanika. — 1982. — V.XXIII. №5. — p.98 — 104.

8 Kucha, G.V. The strength and stiffness of thin rods for flexural vibrations / G.V. Kucha, I.I. Mosaleva // Vestnik OGU, — 2012. — №9. — p.107 — 110.

9 Mescheryakov, V.B. Effect of changes and internal friction spectra at frequencies of free vibrations of thin-walled / V.B. Mescheryakov // Tr. MIIT, iss.343, Transport, 1971.

10 Mescheryakov, V.B. On the influence of shifts to work thin-walled / V.B. Mescheryakov // Inzh. Zhurnal. 1965. — v.5, i. 1.

11 Seregin, S.V. On the influence of plate properties of thin-walled beams, modeled by the system of related plates, on the natural frequencies and mode Thin-walled elastic rods / S.V. Seregin // Vestnik MGSU. — 2014. — №3. — p.92 — 98.

About this article

Authors: Vlasov Yu.L., Gavrilov A.A., Morozov N.A.

Year: 2015

Sergey Aleksandrovich

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