Irrigation and Melioration


investigated. The waveguide properties of the system are preliminarily studied. The multiple roots of the dispersion equations are revealed and the critical load velocities leading to the formation of resonance processes are determined. The solutions of the dispersion equations make it possible to determine the additional critical velocities in the mid-wave spectrum depending on the structure parameters. For simple models, analytical solutions of the development of resonance processes are obtained that are asymptotically correct for relatively large values of time. The computer simulations allow us to analyze the quantitative features of the process over the entire time period of the load. Numerical and asymptotic results are compared to reveal the range of the asymptotic solution acceptability.

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Goldshtein R.V. Rayleigh waves and resonance phenomena in elastic bodies. Appl. Mech. 1965, 29 (3), Рр.516-526.

Slepyan L. I. Rezonansnye yavleniya plastinakh i obolochkakh [Resonance phenomena in plates and shells under moving loads]. The 6th All-Union Conf: Theory of Plates and Shells. Moscow, Nauka, 1966 Pp. 225-227. (in Russian)

Ayzenberg M V: O rezonansnykh volnakh v polom tsilindre [Resonance waves in a hollow cylinder]. Mechanics of Solids 1969, No1, Pp.84-90. (in Russian)

Ayzenberg M V, Slepyan L I: Rezonansnye volny v polom tsilindre, pogruzhennoy v szhiaemuyu zhidkost [Resonance waves in a hollow cylinder immersed into a compressible liquid]. All-Union Symp. Transient Processes in Plates and Shells. Tallinn (1967), Pp.59-63 (in Russian).

Slepyan L I: Nestatsionarnye uprugiy volny [Non-steady-state elastic waves]. Sudostroenie, Leningrad, 1971, 376 p. (in Russian).

Alexandrova N I, Potashnikov I A, Stepanenko M.V: Izgibnye rezon ansnye vony v tsilindricheskoy oboochki pri deystvii radialno prilojennoy dvijushcheysya nagruzki [Flexural resonant waves in a cylindrical shell under moving radial loading]. J. Appl. Mech. Techn. Phys. 1989. 19(3) Pp.132-137. (in Russian).

Ouyang H, Mottershead J E: 'A numerical-analytical combined method for vibration of a beam excited by a moving flexible body'. Numer. Meth. Engng. 2007 72 (10). Pp.81–91.

Abdukadirov S.А. Poverkhnoctnye rezonansnye volny v sloistoy srede [Surface resonant waves in a layered medium] DAN UzSSR. Tashkent. 1983, No3, Pp.18-20. (in Russian)

Abdukadirov S.А. Nestastionarnaya zadacha o deystvii podvizhnoy nagruzki na sloy, lezhashchey na poluploskosti [Non-stationary problem of the action of a moving load on a layer lying on a half-plane]. DAN UzSSR. Tashkent. 1984, No2, Pp.19-22. (in Russian).

Zibdeh H S, Abu-Alshaikh I: Vibration response of a beam with different appendages subjected to a moving system, Int. J. of Vehicle Noise and Vibr. 2008 4 Pp.93–106.

Ouyang H: "Moving-load dynamic problems: A tutorial (with a brief overview)‟ Mechanical Systems and Signal Processing 2011, 25 (6), Pp.4-60.

Naga P, Eatherton M R: 'Analyzing the effect of moving resonance on seismic response of structures using wavelet transforms'. Earthquake Engng & Struct. Dyn. 2014 43 (5) Pp. 59-68.

Mirsaidov, M.M., Sultanov, T.Z. Use of linear heredity theory of viscoelasticity for dynamic analysis of earthen structures. Soil Mechanics and Foundation Engineering. 2013. 49(6), Pp.250-256. DOI: 10.1007/s11204-013-9198-8. (in Russian)

Abdukadirov S.А. "Influence of an elastic medium on resonance waves in a layer.‟ Proc. of All-Union Conf: Applied Problems of Strength and Plasticity. Gorki University, Gorki, 1980.

Abdukadirov S.А., Stepanenko M: "On peculiarities of the propagation of harmonic waves in a plane layer in contact with an elastic medium‟. J.Mining Science 1979 No5. Pp.453-462.

Abdukadirov S: "Low-frequency resonance waves in a cylindrical layer surrounded by an elastic medium‟. J. Mining Science 1980 No3, Pp. 43-47.

Ayzenberg-Stepanenko M V: "Resonances in elastic waveguides". 25 th Israel Conf. Mech. Engng.,Technion, Haifa, 1994. 25 p.

Abdukadirov S.А. Nizkochastotnye rezonansnye volny v tsilindricheskom sloe, okruzhennoy uprugoy sredoy [Low-frequency resonance waves in a cylindrical layer surrounded by an elastic medium]. J. Mining Science 1980 No3, Pp.43-47. (in Russian)

Mirsaidov M.M., Sultanov T.Z.,Rumi, D.F. An assessment of dynamic behavior of the system "structure - Foundation" with account of wave removal of energy. Magazine of Civil Engineering.2013. 39(4), Pp.94-105. DOI: 10.5862/MCE. 39.10

Sultanov T.Z., Khodzhaev D.A., Mirsaidov M.M. The assessment of dynamic behavior of heterogeneous systems taking into account non-linear viscoelastic properties of soil. Magazine of Civil Engineering. 2014. 45(1), Pp. 80-89+117-118. DOI: 10. 58 62 /MCE.45.9

Mirsaidov M.M., Sultanov T.Z., Yuldoshev B. Sh. Otsenka dinamki gruntovykh plotin pri minogokomponentnom kinematicheskom voz-deystvii. TIIAME. [Evaluation of the dynamics of earth dams under multicomponent kinematic effect]. Jоurnal “Irrigatsiya va melioratsiya”. Tashkent. Special number. 2018. Pp. 24-29. (in Russian)

Koltunov M.A Mirsaidov M. Troyanovskii I.E. Transient vibrations of axissymmetric viscoelastic shells. Polymer Mechanics. 1978/3/1. Vol.14, Iss.2, Pp. 233-238. DOI: 10.1007/BF0085746.

Abdikarimov R.A., Zhgutov V.M, Khodzhaev D.A, Normuminov B.A. Mirsaidov M.M. Issledovanie parametricheskikh kolebaniy vyaskoupugoy tsilindricheskoy paneli peremennoy tolshchiny. Vestnik MGSU. 2018. Vol.13, Iss.11(122). Pp. 1315-1325. DOI: 10.22227/1997-0935.2018.11.1315-1325. (in Russian)

Mirsaidov M.M., Abdikarimov R.A., Vatin N, Zhgutov V.M, Khodzhaev D.A, Normuminov B.A. Nonlinear parametric oscillations of viscoelastic plate of variable thickness. MAGAZINE OF CIVIL ENGINEERING. 2018/1/1. Vol.82, Iss.6. Pp. 112-126.

Mirsaidov M., Troyanovskii I.E. Forced axisymmetric oscillations of a viscoelastic cylindrical shell. Polymer Mechanics. Vol.11, Iss.6, Pp. 953-955.DOI: 10.1007/BF00857626

Mirsaidov M., Sultanov T.Z. Otsenka dinamicheskoy prochnosti gruntovykh plotin s uchetom nelineynogo deformirovaniya. TIIAME. Tashkent. [Evaluation of Dynamic Strength of Earth Dams under Nonlinear Strain] Tashkent: “Adabiyot uchqunlari”, 2018. 258 p. (in Russian)



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