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Danilov Aleksandr Ivanovich -
Moscow State University of Civil Engineering (MGSU)
Candidate of Technical Sciences, Associate Professor, Department of Metal Structures, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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.
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Tusnina Ol’ga Aleksandrovna -
Moscow State University of Civil Engineering (MGSU)
postgraduate student, Department of Metal Structures, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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.
In the article, the co-authors analyze the findings of the experimental and theoretical studies into the real behaviour of a thin-walled cold-formed purlin as part of the roof structure made of sandwich panels. The roof structure fragment was tested; displacements and stresses, that the purlin was exposed to, were identified in respect of each loading increment. NASTRAN software was employed to perform the numerical analysis of the roof structure, pre-exposed to experimental tests, in the geometrically and physically non-linear setting. The finite element model, generated as a result (the numerical analysis pattern), is sufficiently well-set, given the proposed grid of elements, and it ensures reasonably trustworthy results. The diagrams describing the stress/displacement to the load ratio and obtained numerically are consistent with those generated experimentally. The gap between the critical loading values reaches 4%. Analytical and experimental findings demonstrate their close conformity, and this fact may justify the application of the numerical model, generated within the framework of this research project, in the course of any further research actions. The co-authors have identified that the exhaustion of the bearing capacity occurs due to the loss of the buckling resistance as a result of the lateral torsional buckling.
DOI: 10.22227/1997-0935.2014.11.26-36
References
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- Ayrumyan E.L. Rekomendatsii po raschetu stal’nykh konstruktsiy iz tonkostennykh gnutykh profiley [Recommendations on Calculating Steel Structures of Thin-Walled Formed Sections]. StroyPROFIl’ [Construction Profile]. 2009, no. 8 (78), pp. 12—14. (In Russian).
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- Kujawa M., Werochowski W., Urba?ska-Galewska E. Restraining of the Cold-formed Z-purlins with Sandwich Panels. Final Report. Gdansk, Poland, 2008, 126 p.
- Shimkovich D.G. Raschet konstruktsiy v MSC/NASTRAN for Windows [Calculation of Structures in MSC/NASTRAN for Windows]. Moscow, DMK Press, 2001, 448 p. (In Russian).
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Tusnina Ol’ga Aleksandrovna -
Moscow State University of Civil Engineering (MGSU)
postgraduate student, Department of Metal Structures, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
This e-mail address is being protected from spambots. You need JavaScript enabled to view it
.
Nowadays thin-walled cold-formed profiles are widely used as bearing structures of buildings. The features of these profiles are little thickness and complicated cross-section shape. These features influence the behaviour of the structures made of cold-formed profiles. It is an often situation that we can not apply load directly on the element in the shear center due to its complicated shape and boundary conditions, such as support fixation. Thus, the purlin experiences a combined action of bending and restraint torsion. Besides, the distortion of purlin occurs and in this case the Vlasov’s theory of thin-walled elastic beams is not applicable. In this paper the analysis of cold-formed C-purlin is considered. The results of physically and geometrically nonlinear analysis are represented. The components of the stress state of purlin are determined. An estimation of the influence of cross-section distortion on the angles of rotation about longitudinal axis of purlin is done. The buckling analysis according to Russian standards SNiP was done.
DOI: 10.22227/1997-0935.2014.10.64-74
References
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- Ayrumyan E.L., Belyy G.I. Issledovanie raboty stal’noy fermy iz kholodnognutykh profiley s uchetom ikh mestnoy i obshchey ustoychivosti [A Study of Steel Cold-Formed Profiles of Trusses with Regard to Their Local and General Stability]. Promyshlennoe i grazhdanskoe stroitel’stvo [Industrial and Civil Engineering]. 2010, no. 5, pp. 41—44. (in Russian)
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- Selyantsev I., Tusnin A. The Influence of Cross-Section Shape Changing on Work of Thin-Walled Cold-Formed Steel Beam. Proceedings of the METNET Seminar 2011 in Aarhus. HAMK University of Applied Science, Einland, 2011, pp. 143—148.
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Abdikarimov Rustamkhan A. -
Tashkent Institute of Finance
Doctor of Physical and Mathematical Sciences, Associate Professor, Tashkent Institute of Finance, 60A A. Temur st., Tashkent, 100000, Uzbekistan.
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Khodzhaev Dadakhan A. -
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME)
Candidate of Physical and Mathematical Sciences, Associate Professor, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME), 39 Kary-Niyazov st., Tashkent, 100000, Uzbekistan.
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Normuminov Bakhodir A. -
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME)
Senior Lecture, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME), 39 Kary-Niyazov st., Tashkent, 100000, Uzbekistan.
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Mirsaidov Mirziyod M. -
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME)
Academician of Academy of Sciences of Uzbekistan, Doctor of Technical Sciences, Professor, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (TIIAME), 39 Kary-Niyazov st., Tashkent, 100000, Uzbekistan.
ABSTRACT Introduction. Isotropic viscoelastic cylindrical panels of variable thickness under the effect of a uniformly distributed vibration load applied along one of the parallel sides, resulting in parametric resonance (with certain combinations of eigenfrequencies of vibration and excitation forces) are considered. Materials and methods. It is believed that under the effect of this load, the cylindrical panels undergo the displacements (in particular, deflections) commensurate with their thickness. Based on the classical Kirchhoff-Love hypothesis, a mathematical model of the problem of parametric oscillations of a viscoelastic isotropic cylindrical panel of variable thickness in a geometrically non-linear formulation is constructed. Corresponding nonlinear equations of vibration motion of panels under consideration are derived (in displacements). The technique of the nonlinear problem solution by applying the Bubnov-Galerkin method at polynomial approximation of displacements (and deflection) and a numerical method that uses quadrature formula are proposed. The Koltunov-Rzhanitsyn kernel with three different rheological parameters is chosen as a weakly singular kernel. Results. Parametric oscillations of viscoelastic cylindrical panels of variable thickness under the effect of an external load are investigated. The effect on the domain of dynamic instability of geometric nonlinearity, viscoelastic properties of material, as well as other physical-mechanical and geometric parameters and factors (initial imperfections of the shape, aspect ratios, thickness, boundary conditions, excitation coefficient, rheological parameters) are taken into account. Conclusions. A mathematical model and method have been developed for estimating parametric oscillations of a viscoelastic cylindrical panel of variable thickness, taking into account geometric nonlinearity under the action of periodic loads. The results obtained are in good agreement with the results and data of other authors. The convergence of the Bubnov-Galerkin method is verified.
DOI: 10.22227/1997-0935.2018.11.1315-1325