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Article

  • Title

    Calculation of the stability flat shape bending of the racing car frame structural elements in the circular arches form

  • Authors

    Orobey Viktor F.
    Lymarenko Oleksandr M.
    Bazhanova Аnastasiya Yu.
    Hamray Vadym V.
    Ponomarenko Andriy А.

  • Subject

    MACHINE BUILDING

  • Year 2021
    Issue 2(64)
    UDC 629.371.21
    DOI 10.15276/opu.2.64.2021.01
    Pages 5-12
  • Abstract

    To increase the strength and rigidity of the characteristics, the articulated elements of structural racing cars have a large ratio of axial moments of inertia of the cross sections. The method of solving boundary value problems of stability of the flat form of bending of racing car structural elements in the form of circular arches with sections having several axes of symmetry is obtained. In Formula Class cars, these elements are most responsible for the safety of the pilot. The system of integration of two differential equations of stability of the specified constructive elements of a car racing frame in the form of circular arches or curvilinear cores is executed in work. The numerical-analytical method of limiting elements developed by Professor V.F. Orobey was used for the research. The article presents two variants of systems of fundamental orthonormal functions for differential equations of stability of circular arches with constant coefficients obtained during research. The problem of stability of structural elements of racing cars on the geometry corresponding to circular arches is solved by a numerical method acquiring rapid development; the method has theoretically proved exact decisions. The equation obtained in the course of research is applicable to the solution of very complex problems of stability of various structures containing rods delineated along the arc of a circle. The equations can be used to solve very complex problems of stability of various structures containing rods drawn along the arc of a circle. Such structural elements are used in many designs of industrial engineering

  • Keywords boundary value problems of stability, system of linear differential equations with variable coefficients, fundamental orthonormal functions, boundary element method, racing car, formula, frame
  • Viewed: 74 Dowloaded: 10
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  • References

    Література
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    2. Louise C.N., Md Othuman A.M., Ramli M. Performance of lightweight thin-walled steel sections: theoretical and mathematical considerations. Advances in Applied Science Research. 2012. Vol. 3, Issue 5. P. 2847–2859.

    3. Pi Y.-L., Bradford M.A. In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints. Engineering Structures. 2013. Vol. 56.
    P. 1496–1510. DOI: 10.1016/j.engstruct.2013.07.020.

    4. Becque J., Lecce M., Rasmussen K. J. R. The direct strength method for stainless steel compression members. Journal of Constructional Steel Research. 2008. Vol. 64, Issue 11.
    P. 1231–1238. DOI: 10.1016/j.jcsr.2008.07.007.

    5. Andreew V. I., Chepurnenko A. S., Yazyev B. M. Energy Method in the Calculation Stability of Compressed Polymer Rods Considering Creep. Advanced Materials Research. 2014. Vol. 1004-1005. P. 257–260. DOI: 10.4028/www.scientific.net/amr.1004-1005.257.

    6. Artyukhin, Yu. P. Approximate analytical method for studying deformations of spatial curvilinear bars. Uchenye zapiski Kazanskogo Universiteta. Physics and mathematics. 2012. Vol. 154.
    P. 97–111.

    7. Orobey V, Nemchuk O, Lymarenko O, Piterska V, Lohinova L. Taking account of the shift and inertia of rotation in problems of diagnostics of the spectra of critical forces mechanical systems. Diagnostyka. 2021, 22(1), 39–44. DOI: http://doi.org/10.29354/diag/132555.

     

    References

    1. De Backer, H., Outtier, A., & P. Van Bogaert. (2014). Buckling design of steel tied-arch bridges. Journal of Constructional Steel Research, 103, 159–167. DOI: 10.1016/j.jcsr.2014.09.004.

    2. Louise, C.N., Md Othuman, A.M., Ramli, M. (2012). Performance of lightweight thin-walled steel sections: theoretical and mathematical considerations. Advances in Applied Science Research, 3, 5, 2847– 2859.

    3. Pi, Y.-L., & Bradford, M.A. (2013). In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints. Engineering Structures, 56, 1496–1510.
    DOI: 10.1016/j.engstruct.2013.07.020.

    4. Becque, J., Lecce, M., & Rasmussen, K. J. R. (2008). The direct strength method for stainless steel compression members. Journal of Constructional Steel Research, 64, 11, 1231–1238.
    DOI: 10.1016/j.jcsr.2008.07.007.

    5. Andreew, V. I., Chepurnenko, A. S., & Yazyev, B. M. (2014). Energy Method in the Calculation Stability of Compressed Polymer Rods Considering Creep. Advanced Materials Research, 1004-1005, 257– 260. DOI: 10.4028/www.scientific.net/amr.1004-1005.257.

    6. Artyukhin, Yu. P. (2012). Approximate analytical method for studying deformations of spatial curvilinear bars. Uchenye zapiski Kazanskogo Universiteta. Physics and mathematics, 154, 97–111.

    7. Orobey, V., Nemchuk, O., Lymarenko, O., Piterska, V., & Lohinova, L. (2021). Taking account of the shift and inertia of rotation in problems of diagnostics of the spectra of critical forces mechanical systems. Diagnostyka, 22(1), 39–44. DOI: http://doi.org/10.29354/diag/132555.

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