Geometric Nonlinear Numerical Analysis of Shells in the Form of a Hyperboloid of Revolution

  • Ismael Taha Farhan FarhanEmail author
  • Gil-oulbé Mathieu
  • Timur Soibnazarovich Imomnazarov
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 113)


This paper provides information on hyperboloids of revolution surfaces and their classification, using methods of differential geometry and computer design. All surfaces are plotted by means of computer graphics. The geometric nonlinear numerical analysis of thin shells in the form of hyperboloid of revolution surfaces on buckling resistance and stress-strain state is given in this paper, using the finite elements method in a computer software. Comparison is done with the result of the finite elements linear analysis of their buckling resistance.


Hyperboloids of revolution Differential geometry Geometric nonlinear numerical analysis Finite elements linear analysis Linear analysis Buckling resistance 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ismael Taha Farhan Farhan
    • 1
    Email author
  • Gil-oulbé Mathieu
    • 1
  • Timur Soibnazarovich Imomnazarov
    • 1
  1. 1.Department of Civil Engineering, Engineering AcademyPeoples’ Friendship, University of Russia, (RUDN University)MoscowRussian Federation

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