Research article Vol. 18 No. 2 (2022): International Journal for Computational Civil and Structural Engineering

DETERMINATION OF BENDING OF A BEAM FROM A NONLINEAR DEFORMABLE MATERIAL BY RITZ-TIMOSHENKO METHODS AND FINITE DIFFERENCES TAKING INTO ACCOUNT DEGRADATION FUNCTIONS OF CROSS SECTION RIGIDITY

Vladimir Selyaev, Sergey Gryaznov, Delmira Babushkina
85-97 DOI 10.22337/2587-9618-2022-18-2-85-97 Published 2022-06-24
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DETERMINATION OF BENDING OF A BEAM FROM A NONLINEAR DEFORMABLE MATERIAL BY RITZ-TIMOSHENKO METHODS AND FINITE DIFFERENCES TAKING INTO ACCOUNT DEGRADATION FUNCTIONS OF CROSS SECTION RIGIDITY

Authors

  • Vladimir Selyaev National Research Mordovia State University, Saransk, RUSSIA
  • Sergey Gryaznov National Research Mordovia State University, Saransk, RUSSIA https://orcid.org/0000-0001-8682-6337
  • Delmira Babushkina National Research Mordovia State University, Saransk, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2022-18-2-85-97

Keywords:

beam, nonlinearity, deflection, Ritz-Timoshenko method, finite difference method, stiffness, degradation function, limiting state

Abstract

The article solves the problem of determining the deflections of a beam made of a nonlinearly deformable material - a polyester composite held in water using the numerical methods of Ritz-Timoshenko and finite differences. The influence of the aggressive environment on the material of the structure was taken into account by introducing the degradation function of the stiffness of the element cross-sections into the calculation algorithms of the above methods. The problem of determining the time and conditions for the onset of the limiting state of the structure in the second group in accordance with the current norms and rules has been solved.

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Author Biographies

  • Vladimir Selyaev, National Research Mordovia State University, Saransk, RUSSIA

    Academician of the Russian Academy of Architectural and Construction Sciences, Professor, Doctor of Technical Sciences, National Research Ogarev Mordovian State University, Head of the Department of Building Structures

  • Sergey Gryaznov, National Research Mordovia State University, Saransk, RUSSIA

    Postgraduate student of the Department of Building Structures, National Research Ogarev Mordovian State University

  • Delmira Babushkina, National Research Mordovia State University, Saransk, RUSSIA

    Postgraduate student of the Department of Building Structures, National Research Ogarev Mordovian State University

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Published

2022-06-24

Issue

Vol. 18 No. 2 (2022): International Journal for Computational Civil and Structural Engineering

Section

Research article

License

Copyright (c) 2022 International Journal for Computational Civil and Structural Engineering

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Selyaev, V., Gryaznov, S., & Babushkina, D. (2022). DETERMINATION OF BENDING OF A BEAM FROM A NONLINEAR DEFORMABLE MATERIAL BY RITZ-TIMOSHENKO METHODS AND FINITE DIFFERENCES TAKING INTO ACCOUNT DEGRADATION FUNCTIONS OF CROSS SECTION RIGIDITY. International Journal for Computational Civil and Structural Engineering, 18(2), 85-97. https://doi.org/10.22337/2587-9618-2022-18-2-85-97

Keywords

beam, nonlinearity, deflection, Ritz-Timoshenko method, finite difference method, stiffness, degradation function, limiting state

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