Flexural Analysis of Kirchhoff plates on Winkler foundations using finite Fourier sine integral transform method

Flexural Analysis of Kirchhoff plates on Winkler foundations using finite Fourier sine integral transform method
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In this work, the Fourier sine transform method has been applied to solve the flexural problem of rectangular Kirchhoff plates resting on Winkler foundations for the case of simply supported edges and transverse distributed loads. The Fourier sine transformation was applied to the governing partial differential equation, and the boundary value problem simplified to an algebraic problem. By inversion, solutions were obtained for the general case of arbitrary distributed load and for particular cases of point load, patch load, sinusoidal load, uniform load and linearly distributed loads. It was found that the solutions obtained were exact solutions, and were exactly identical with the solutions obtained in literature using Navier’s double trigonometric series methods. The effectiveness of the Fourier sine transform method was thus illustrated.


Finite Fourier Sine Transform Method, Kirchhoff Plate, Winkler Foundation, Navier’S Double Trigonometric Series Method, Boundary Value Problem

1. Introduction
2. Methodology
3. Results
4. Discussion
5. Conclusions

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