PHYSICAL AND MECHANICAL STATE OF CANTILEVER TRIANGULARPLATES

Authors

  • S. K. Akhmediyev Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan
  • O. Khabidolda Karaganda University named after Academician E.A. Buketov, Karaganda, Kazakhstan
  • N. I. Vatin Peter the Great St.Petersburg Polytechnic University, Russia
  • G. A. Yessenbayeva Karaganda University named after Academician E.A. Buketov, Karaganda, Kazakhstan
  • R. Muratkhan Karaganda University named after Academician E.A. Buketov, Karaganda, Kazakhstan

DOI:

https://doi.org/10.26577/JMMCS.2023.v118.i2.07

Keywords:

triangular plate, numerical method, grid method,, deflection, bending stiffness, rod analogy, reduction factor

Abstract

In this paper, the bending of cantilever triangular plates at the same angles of inclination of the side edges to the base is investigated. Due to the complexity of the boundary conditions, a numerical finite difference method is applied using a grid of scalene triangles that fits well into the contour of the plate. To solve the problem of an acute angle at the top of the plate, the method of combining the results of calculating a cantilever bar of variable bending stiffness with similar results of calculating a triangular plate supported along the contour using a reduction factor is applied. The results of deflections of the cantilever triangular plate at different angles of inclination of the side edges to the base are given. The theoretical provisions and applied results of this study can be used both in scientific research and in engineering design.

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Published

2023-07-01

Issue

Vol. 118 No. 2 (2023): Journal of Mathematics, Mechanics and Computer Science

Section

Mechanics

How to Cite

PHYSICAL AND MECHANICAL STATE OF CANTILEVER TRIANGULARPLATES. (2023). Journal of Mathematics, Mechanics and Computer Science, 118(2), 64-73. https://doi.org/10.26577/JMMCS.2023.v118.i2.07