Physical and Mechanical State of Cantilever Triangular Plates

Akhmediyev, S. K.; Vatin, Nikolai Ivanovich; Yessenbayeva, G.A.; Muratkhan, R.

doi:10.26577/jmmcs.2023.v118.i2.07

Cited by 2 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Studies [6,7] consider the static calculation of triangular plates with hinged edges by the Ritz method for bending, give the corresponding formulas for the analytical determining of the coordinate functions coefficients used to calculate the bending deflections, and perform the calculation for bending under the action of a concentrated force.…”

Section: Introductionmentioning

confidence: 99%

Studying Dynamics of a Cantilever Bar With Variable Bending Stiffness

Khabidolda

2023

JMMCS

View full text Add to dashboard Cite

In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropic cantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the finite difference method has been applied using a regular one-dimensional (linear) grid. The finitedifference equations developed by the authors for point-distributed masses along the length of the wedge are presented, taking into account the linearly variable bending stiffness. On this basis, the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamic forces and deflections) in the resonant and near-resonant regions have been obtained. The content of theoretical provisions and applied results can be widely used in the scientific and engineering fields and in the field of mechanics of structures.

show abstract

Section: Introductionmentioning

confidence: 99%

Studying Dynamics of a Cantilever Bar With Variable Bending Stiffness

Khabidolda

2023

JMMCS

View full text Add to dashboard Cite

show abstract

“…The bending of cantilever triangular plates at the same inclination angles of the side edges to the base was investigated [20]. A finite difference method was applied.…”

Section: Introductionmentioning

confidence: 99%

Bending of Orthotropic Scalene Triangle Plates: Finite Difference Modeling

Akhmediev,

Beketova,

Nuguzhinov

et al. 2023

Preprint

View full text Add to dashboard Cite

The object of study is a transversely bent triangular plate made of orthotropic material fixed along the edges of the plate under the action of a uniformly distributed load. Fourth-order differential equilibrium equations with variable orthotropy parameters were used. The equations were approximated by finite differences for a grid of scalene triangles. This type of mesh accurately describes the boundary contour of the triangular-shaped plates. The boundary conditions for the mesh consider the orthotropy of the plate material. Seven standard finite-difference equations have been developed considering the boundary conditions along the three edges of the plate and the presence of three angles of an irregularly shaped triangle. A finite difference matrix is obtained. The matrix structure makes calculating a triangular plate at different base angles possible. The boundary conditions were varied in the form of rigid or hinged support of triangular plates. The calculation method considers the orthotropic parameters of the material in two mutually perpendicular planes. The adaptation of the numerical method to the calculation of orthotropic plates of arbitrary shape is described. Relationships are given for determining the rigidity characteristics of orthotropic materials. An algorithm for simple engineering calculation of triangular orthotropic plates is proposed, which makes it possible to perform accurate calculations in variant design.

show abstract

Physical and Mechanical State of Cantilever Triangular Plates

Cited by 2 publications

References 12 publications

Studying Dynamics of a Cantilever Bar With Variable Bending Stiffness

Studying Dynamics of a Cantilever Bar With Variable Bending Stiffness

Bending of Orthotropic Scalene Triangle Plates: Finite Difference Modeling

Contact Info

Product

Resources

About