Determination of the Stress-Strain State in Thin Orthotropic Plates on Winkler’s Elastic Foundations

Delyavs’kyi, M. V.; Zdolbitska, Nina; Onyshko, L. I.; Zdolbits’kyi, A. P.

doi:10.1007/s11003-015-9785-0

Cited by 2 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The suggested method is close to Trefftz collocation method and meshless ones. It was tested on examples of cantilever plate [68], isotropic irregular plate [69], orthotropic plate resting on Winkler's foundation [70,71], double-connected isotropic rectangular plates [71] and plate connected with truss [72]. Its improved version is given in the presented paper.…”

Section: Literature Review Of the Methods For Solving Plate Bending Problemsmentioning

confidence: 99%

See 1 more Smart Citation

The New Approach to Analysis of Thin Isotropic Symmetrical Plates

Delyavskyy

Rosiński

2020

Applied Sciences

View full text Add to dashboard Cite

A new approach to solve plate constructions using combined analytical and numerical methods has been developed in this paper. It is based on an exact solution of an equilibrium equation. The proposed mathematical model is implemented as a computer program in which known analytical formulae are rewritten as wrapper functions of two arguments. Partial derivatives are calculated using automatic differentiation. A solution of a system of linear equations is substituted to these functions and evaluated using the Einstein summation convention. The calculated results are presented and compared to other analytical and numerical ones. The boundary conditions are satisfied with high accuracy. The effectiveness of the present method is illustrated by examples of rectangular plates. The model can be extended with the ability to solve plates of any shape.

show abstract

Section: Literature Review Of the Methods For Solving Plate Bending Problemsmentioning

confidence: 99%

“…In the above R kps are unknown coefficients which are determined from boundary conditions at the plate contour, E kps (x s ) are unknown functions. Substituting expressions ( 7)-( 10) into Equation ( 2) we come to system of two unbounded forth order homogeneous differential equations with respect to these functions [70].…”

Section: Methodsmentioning

confidence: 99%

The New Approach to Analysis of Thin Isotropic Symmetrical Plates

Delyavskyy

Rosiński

2020

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…And the thickness will increase with the designed traffic volume. A large number of research works have been published to solve problem of a classical thin plate [2][3][4] or a thin plate on an elastic foundation [5][6][7][8][9]. Fisher investigated the elastic impact of a sphere on a thin plate which is continuous contact with a foundation [10].…”

Section: Introductionmentioning

confidence: 99%

Displacement and Stress Analysis of Thin Plate for Cement Concrete Pavement

Jia

Zhang

Guo

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In order to analyze the displacement and stress of thin plate for cement concrete pavement with rectangle shape and resting on Winkler soil foundation, an analysis model was set up based on the theory of elastic thin plate on Winkler foundation. According to elasticity Kirchhoff theory of thin plates and Winkler soil foundation model, the expressions of displacement and stress were yielded by using the inverse Hankel transform. Numerical method was employed to calculate displacement and stress of the thin plate. Results showed that displacement and stress corresponded with using the method from Code for Highway Design-Pavement. Results showed that the method can provide a new computation method for displacement and stress of the thin plate about cement concrete pavement.

show abstract

Determination of the Stress-Strain State in Thin Orthotropic Plates on Winkler’s Elastic Foundations

Cited by 2 publications

References 0 publications

The New Approach to Analysis of Thin Isotropic Symmetrical Plates

The New Approach to Analysis of Thin Isotropic Symmetrical Plates

Displacement and Stress Analysis of Thin Plate for Cement Concrete Pavement

Contact Info

Product

Resources

About