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Static Analysis of Spatial Rod Structures Considering Imperfections in the Fastening of the Floorings

  • Rashit Kayumov
  • Aivaz GimazetdinovEmail author
  • Lenar Khaidarov
  • Anatoly Antonov
Conference paper
  • 35 Downloads
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 70)

Abstract

In the study of the “behavior” of the bearing elements of mobile systems of various types in the process of their operation at the facilities of the FIFA World Cup 2018 in Kazan, a number of imperfections were identified that have a significant impact on their bearing capacity and deformability, namely, the influence of gaps in the flooring on the redistribution of efforts in the flooring and in the structure as a whole. The article deals with the influence of imperfections in the fastening of combined plywood-metal flooring as a horizontal disk of stiffness on the stress–strain state. The problem is solved in a geometrically and physical nonlinear formulation. A simple method of accounting for imperfections of flooring fastening is proposed. By considering different values of gaps between the flooring and the frame, their influence on the stress–strain state of the flooring and on the redistribution of stresses in the frame of the structure is estimated. To determine the redistribution of forces in the rods, the calculation was performed by the finite element method in the PC “Lira-SAPR.”

Keywords

Rod structures Spatial structures Flooring fastening Finite element method 

References

  1. 1.
    Liu, C., He, L., Wu, Z., Yuan, J.: Experimental and numerical study on lateral stability of temporary structures. Arch. Civ. Mech. Eng. 18, 1478–1490 (2018)CrossRefGoogle Scholar
  2. 2.
    Peng, J.-L., Ho, C.-M., Chan, S.-L., Chen, W.-F.: Stability study on structural systems assembled by system scaffolds. J. Constr. Steel Res. 137, 135–151 (2017)CrossRefGoogle Scholar
  3. 3.
    Yuan, X., Anumba, C.J., Parfitt, M.K.: Cyber-physical systems for temporary structure monitoring. Autom. Constr. 66, 1–14 (2016)CrossRefGoogle Scholar
  4. 4.
    Chandrangsu, T., Rasmussen, K.J.R.J.: Structural modelling of support scaffold systems. J. Constr. Steel Res. 67, 866–875 (2011)CrossRefGoogle Scholar
  5. 5.
    Prabhakaran, U., Beale, R.G., Godley, M.H.R.: Analysis of scaffolds with connections containing looseness. Comput. Struct. 89, 1944–1955 (2011)CrossRefGoogle Scholar
  6. 6.
    Crick, D., Grondin, G.Y.: Monitoring and analysis of a temporary grandstand, pp. 48–98. Structural Engineering Report No. 275. Department of Civil & Environmental Engineering of University of Alberta, Edmonton (2008)Google Scholar
  7. 7.
    Błazik-Borowa, E., Gontarz, J.: The influence of the dimension and configuration of geometric imperfections on the static strength of a typical façade scaffolding, pp. 46–78 (2015)Google Scholar
  8. 8.
    Bryan, E.R.: The Stressed Skin Design of Steel Buildings, pp. 48–98. London (1973)Google Scholar
  9. 9.
    Hertle, R.: Gerustbau–Stabilitat und statischkonstruktive Aspekte, pp. 28–58. Ernst & Sohn Verlag fur Architektur und technische Wissenschaften GmbH & Co. KG, Berlin (2009)Google Scholar
  10. 10.
    General Building Authority Approval Z-8.22-64: Layher Allround Scaffolding Modular System Allround Steel, pp. 35–68. German Civil Engineering Institute, Berlin (2012)Google Scholar
  11. 11.
    Loss, C., Frangi, A.: Experimental investigation on in-plane stiffness and strength of innovative steel-timber hybrid floor diaphragms. Eng. Struct. 48–98 (2017)Google Scholar
  12. 12.
    Li, E., Ferreiro, J.B.: A note on the global stability of deneralized difference equations. Appl. Math. Lett. 15, 655–659 (2002)MathSciNetCrossRefGoogle Scholar
  13. 13.
    Liz, E., Ivanov, A.F., Ferreiro, J.B.: Discrete Halanay-type inequalities and applications. Nonlinear Anal. 55, 669–678 (2003)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Raffoul, Y.N., Dib, Y.M.: Boundedness and stability in nonlinear discrete systems with nonlinear perturbation. J. Differ. Equat. Appl. 9(9), 853–862 (2003)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Udpin, S., Niamsup, P.: New discrete type inequalities and global stability of nonlinear difference equations. Appl. Math. Lett. 22, 856–859 (2009)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Kazkurewicz, E., Bhaya, A.: Matrix Diagonal Stability in Systems and Computation, pp. 68–85. Birkhauser, Boston (1999)Google Scholar
  17. 17.
    Aleksandrov, A.Y., Zhabko, A.P.: Preservation of stability under discretization of systems of ordinary differential equations. Siberian Math. J. 51(3), 383–395 (2010)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Brayton, K., Tong, C.H.: Stability of dynamical systems: a constructive approach. IEEE Trans. Circ. Syst. CAS-26(4), 224–234 (1979)MathSciNetCrossRefGoogle Scholar
  19. 19.
    Brayton, R.K., Tong, C.H.: Constructive stability and asymptotic stability of dynamical systems. IEEE Trans. Circ. Syst. CAS-27(11), 1121–1130 (1980)MathSciNetCrossRefGoogle Scholar
  20. 20.
    Yoshizawa, T.: Stability Theory by Liapunov Second Method. The Mathematical Society of Japan (1966)Google Scholar
  21. 21.
    Kuzkin, V.A.: Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell. Continuum Mech. Thermodyn. 48–98 (2019)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Kazan State University of Architecture and EngineeringKazanRussian Federation

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