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Article

  • Title

    Finite elements mathematical model of geometric nonlinearity

  • Authors

    Bazhanova Аnastasiya Yu.
    Suryaninov Mykola G.
    Shotadze G. B.

  • Subject

    COMPUTER AND INFORMATION NETWORKS AND SYSTEMS. MANUFACTURING AUTOMATION

  • Year 2015
    Issue 2(46)
    UDC [004.942:519.6]:539.3
    DOI 10.15276/opu.2.46.2015.25
    Pages 138-144
  • Abstract

    The article considers the construction of a mathematical model for accounting the geometric nonlinearity at finite elements method. The built model takes into account the changes in system stiffness matrix when changing its shape. In quality of an object to compare the results of numerical studies on different models with experimental ones selected is the UAZ automobile spring: symmetric semi-elliptic damper, consisting of fifteen sheets. All numerical studies were performed with two CAD systems: the first one ANSYS, a “heavy” packages representative group, and the SolidWorks, which refers to the average complexity level packages. The results analysis suggests that the traditional nonlinearity model obtained from ANSYS and SolidWorks give approximately the same results at the maximum point of 20,6% differing from the field experiment data. Using the proposed model, the difference is reduced up to 7,95%.

  • Keywords mathematical model, geometric nonlinearity, CAD, finite element method, ANSYS, SolidWorks
  • Viewed: 920 Dowloaded: 6
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  • References

    Література
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    5.    Алямовский, А.А. COSMOSWorks. Основы расчета конструкций на прочность в среде SolidWorks / А.А. Алямовский. — М.: ДМК Пресс, 2010. — 784 с.

    References
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    2.    Nazarov, D.I. (2000). On the “reliability” of structures calculations using finite element method. SAPR and Graphics, 7, 23—25.
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    4.    Dashchenko, A.F., Lazareva, D.V. and Suryaninov, N.G. (2011). ANSYS in Engineering Mechanics Problems (2nd Ed.). Kharkiv: BURUN & Co.
    5.    Alyamovsky, A.A. (2010). COSMOSWorks. Fundamentals of design of structures for durability in SolidWorks. Moscow: DMK Press.

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