Deflection relationships between classical and third-order plate theories
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In this paper the differential relationship between the deflections of the classical Kirchhoff and third-order Reddy plate theories is developed, and it is used to determine the relationship between the deflections of polygonal plates with simply supported boundary conditions. As an example, the deflection of a simply supported rectangular plate using the third-order plate theory is obtained from the relationship developed herein. The relationship indicates that the third-order theory yields virtually the same solution as the first-order theory for simply supported rectangular plates.
author list (cited authors)
Reddy, J. N., & Wang, C. M.