# Analytical behavior prediction for skewed thick plates on elastic foundation

Pang Jo Chun, Yun Mook Lim

Research output: Contribution to journalArticle

4 Citations (Scopus)

### Abstract

This paper presents analytical solutions for the problem of skewed thick plates under transverse load on a Winkler foundation, which has not been reported in the literature. The thick plate solution is obtained by using a framework of an oblique coordinate system. First, the governing differential equation in that system is derived, and the solution is obtained using deflection and rotation as derivatives of the potential function developed here. This method is applicable for arbitrary loading conditions, boundary conditions, and materials. The solution technique is applied to two illustrative application examples, and the results are compared with numerical solutions. The two approaches yielded results in good agreement.

Original language English 509724 Mathematical Problems in Engineering 2011 https://doi.org/10.1155/2011/509724 Published - 2011 Dec 1

### Fingerprint

Elastic Foundation
Prediction
Oblique
Potential Function
Deflection
Governing equation
Analytical Solution
Differential equations
Transverse
Numerical Solution
Boundary conditions
Differential equation
Derivatives
Derivative
Arbitrary
Framework

### All Science Journal Classification (ASJC) codes

• Mathematics(all)
• Engineering(all)

### Cite this

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In: Mathematical Problems in Engineering, Vol. 2011, 509724, 01.12.2011.

Research output: Contribution to journalArticle

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T1 - Analytical behavior prediction for skewed thick plates on elastic foundation

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AU - Lim, Yun Mook

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Y1 - 2011/12/1

N2 - This paper presents analytical solutions for the problem of skewed thick plates under transverse load on a Winkler foundation, which has not been reported in the literature. The thick plate solution is obtained by using a framework of an oblique coordinate system. First, the governing differential equation in that system is derived, and the solution is obtained using deflection and rotation as derivatives of the potential function developed here. This method is applicable for arbitrary loading conditions, boundary conditions, and materials. The solution technique is applied to two illustrative application examples, and the results are compared with numerical solutions. The two approaches yielded results in good agreement.

AB - This paper presents analytical solutions for the problem of skewed thick plates under transverse load on a Winkler foundation, which has not been reported in the literature. The thick plate solution is obtained by using a framework of an oblique coordinate system. First, the governing differential equation in that system is derived, and the solution is obtained using deflection and rotation as derivatives of the potential function developed here. This method is applicable for arbitrary loading conditions, boundary conditions, and materials. The solution technique is applied to two illustrative application examples, and the results are compared with numerical solutions. The two approaches yielded results in good agreement.

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