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Abstract
This chapter presents the plate theory of Mindlin and its underlying assumptions. The governing plate equations and the boundary conditions are derived using the Hamilton's principle. Also highlighted herein is the existence of an exact relationship between the frequencies of the classical thin (Kirchhoff) plates and Mindlin plates of polygonal shape. The relationship allows one to obtain the vibration frequencies of Mindlin plates from widely available Kirchhoff plate solutions. The shear correction factor required in the Mindlin plate theory is discussed. The implementation of Mindlin plate theory into the Ritz method is detailed.
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