Calculation of plate-beam systems by method of boundary elements

  • Authors

    • Mykola Surianinov
    • Oleksii Shyliaiev
    2018-04-20
    https://doi.org/10.14419/ijet.v7i2.23.11927
  • Plate, Supporting Beam, Finite Element, Boundary Element, ANSYS.

  • The approach to calculation of plate-beam systems by numerical and analytical method of boundary elements is proposed. The method consists in construction in analytical way a fundamental system of solutions, the Green’s function and external load vector for the problem under consideration. Small system of linear algebraic equations to be solved numerically is constructed to take into account the boundary conditions or contact conditions between separate modules.

    The series of plate-beam system calculations by methods of boundary elements and finite elements at different geometric parameters of plate was performed to assess the limits of applicability of developed theory. The comparison of 45 variants calculations by both methods is shown.

     

     

  • References

    1. [1] A.F. Daschenko, L.V. Kolomiets, V.F. Orobey, N.G. Surianinov, Chislenno-analiticheskiy metod granichnykh elementov, VMV, Odessa, (2010), 512 p. (in Russian)

      [2] N.G. Surianinov, “Osnovnie polozheniya chislenno-analiticheskogo metoda granichnykh elementovâ€, Stroitelnaya mehanika I raschet sooruzheniy, No.6 (251), (2013), pp.52-58

      [3] V.F. Orobey, N.G. Surianinov, “Substantive provisions of Numeral-analytical boundary element methodâ€, Magazine of Civil Engineering, No.4 (22), (2011), pp.33-39, available online: http://engstroy.spbstu.ru/index_2011_04/suryaninov_MGE.pdf, last visit: 11.02.2018, (in Russian)

      [4] S.L. Crouch, A.M. Starfield, Boundary Element Methods in Solid Mechanics: With Applications in Rock Mechanics and Geological Engineering, George Allen & Unwin, (1983), 322 p.

      [5] Brebbia C.A., Recent Advances in Boundary Element Methods, Pentech Press, London, (1978), 464 p.

      [6] Benerji P., Batterfield R., Metody granichnykh elementov v prikladnykh naukah, Mir, Moscow, (1984), 494 p. (in Russian)

      [7] Diakonov V.P., MATLAB 6/6.1/6.5 + Simulink 4/5 v matematike I modelirovanii. Osnovy primeneniya. Polnoe rukovodstvo polzovatelya, SOLON-Press, Moscow, (2003), 576 p. (in Russian)

      [8] Campbell S., Modeling and Simulation in Scilab/Scicos, Springer, New York, (2006), 313 p.

      [9] H. Pasheku, Programirovanie v Borland Delphi 2006 dlya professionalov. Delphi for .NET Developer’s Guide, Williams, Moscow, (2006), 944 p.

      [10] Yu.V. Korniyenko, M.G. Surianinov, “Development of CAD implementing the algorithm of boundary elements’ numerical analytical methodâ€, Pratsi Odeskogo politehnichnogo universitetu, No.1 (45), (2015), pp: 128-133, available online: http://pratsi.opu.ua/app/webroot/articles/1428656669.pdf, last visit: 11.02.2018, (in Russian)

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  • How to Cite

    Surianinov, M., & Shyliaiev, O. (2018). Calculation of plate-beam systems by method of boundary elements. International Journal of Engineering & Technology, 7(2.23), 238-241. https://doi.org/10.14419/ijet.v7i2.23.11927