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Web of Proceedings - Francis Academic Press
Web of Proceedings - Francis Academic Press

Study on the Application of the Heavy Fourier Series with Additional Items on the Bending Problem of Plates

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DOI: 10.25236/systca.18.019

Author(s)

Xianglan Qiu

Corresponding Author

Xianglan Qiu

Abstract

In this paper, the general bending problem of medium-thickness circular plates on isotropic elastic half-space foundation is systematically analyzed. The deflection of the plate, the load, the ground reaction force and the settlement of the foundation under the slab are all expanded into a double Fourier-Bessel series. The undetermined coefficients in these series are determined by the boundary conditions of the plate, the governing equation of the plate and the plate-foundation. The compatibility conditions are determined to transform the interaction problem between the elastic half-space foundation and the medium-thickness circular plate into the solution of numerical integral and algebraic equations. Numerical calculations show that the series solution has a faster convergence rate.

Keywords

Plate Bending Problem, Fourier Series, Application Study