THE STABILITY OF PLATES UNDER THE ACTION OF SHEARING LOADS

Cover Page

Cite item

Abstract

The method of stability analysis of plates under the action of shearing loads is presented. Using variation method of Vlasov, the set of differential equations of stability of plates is giv- en. As an example, the stability calculation of rectangular plate hinge-supported along four sides under the action of shearing load in a median surface is realized. The numerical algorism of stability analysis of plates by the method of continuation on parameter of shearing load is developed, the Fortran program is realized. The obtained value of critical load is leveled with the table data

About the authors

SERGEY PAVLOVICH IVANOV

Volga State University of Technology

Author for correspondence.
Email: sp-ivanov@mail.ru

Doctor of Science, Professor, Head of Department of Strength of Materials and Applied Mechanics, the Volga State University of Technology; Professor of Department of Electro-mechanics, the Mari State University. He is the author of 147 scientific articles, 2 monographs, 4 textbooks, 20 names of educational literature. General research interests: Strength, stability and vibrations analyses of the physically and geometric nonlinear rods, plates and plate systems

Russia, 424000, the Republic of Mari El, Yoshkar-Ola, Lenin Sq., b.3

OLEG GENNADEVICH IVANOV

Volga State University of Technology

Email: IvanovOG@volgatech.net

Cand. Sc, Assistant professor, Associate professor of the De- partment of Strength of Materials and Applied Mechanics, the Volga State University of Technology. He is the author of 35 scientific articles, 1 monograph, 6 names of educational literature. General research interests: Strength and stability analyses of the physically nonlinear plates and plate systems resting on elastic foundation.

Russia, 424000, the Republic of Mari El, Yoshkar-Ola, Lenin Sq., b.3

ANASTASIA SERGEEVNA IVANOVA

Volga State University of Technology

Email: ivanova-a-s@list.ru

aspirant, senior lecturer of the Department of Strength of Materials and Applied Mechanics, the Volga State University of Technology. Scientific adviser - Doctor of Science, Professor Ivanov S. P., the Volga State University of Technology. At the present time she works on the Candidate's dissertation «The dynamic stability of physically nonlinear rods, plates and plate systems» in the specialty 05.23.17 - « Structural Mechanics». She is the author of 15 scientific articles, 1 name of educational literature. General research interests: Stability analyses of the physically nonlinear rods, plates and plate systems

Russia, 424000, the Republic of Mari El, Yoshkar-Ola, Lenin Sq., b.3

References

  1. Volmir, A.S. (1967). Stability of deformable systems, Moscow: Science. 984 p. (In Russ.)
  2. Aydin Komur, M., Sonmez, M. (2015). Elastic buckling behavior of rectangular plates with holes subjected to partial edge loading, Journal of Constructional Steel Research. Vol. 112. P. 54—60.
  3. Nazarimofrad, E., Barkhordar, A. (2016). Buckling analysis of orthotropic rectangular plate resting on Pasternak elastic foundation under biaxial in-plane loading, Mechanics of Advanced Materials and Structures. Vol. 23. No 10. P. 1144—1148.
  4. Upadhyay, A.K., Shukla, K.K. (2013). Post-buckling of composite and sandwich skew plates, Jnt. J. Non-Linear Mech. Vol. 55. P. 120—127.
  5. Kolmogorov, G.L., Zibrova, E.O. (2015). Questions of the stability of anisotropic plates, Applied Mathematics and Control Sciences. No 4. P. 36—42. (In Russ.)
  6. Trushin, S.I., Zhuravleva, T.A., Sysoeva, E.V. (2013). The stability of nonlinear deformable cylindrical composite shells under non-uniform loads, Structural Mechanics of Engineering Constructions and Buildings. No 2. P. 3—10. (In Russ.)
  7. Vlasov, V.Z. (1958). Tonkostennye prostranstvennye sistemy, Moscow: Gosstrojizdat. 502 p. (In Russ.)
  8. Vajnberg, D.V., Vajnberg, E.D. (1959). Plastiny, diski, balki-stenki. Prochnost', ustojchivost' i kolebanija, Kiev: Gosstrojizdat. 1052 p. (In Russ.)

Copyright (c) 2017 IVANOV S.P., IVANOV O.G., IVANOVA A.S.

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

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies