Method of Initial Functions in the Analysis of Thick Circular Plates
The method of initial functions has been used for the analysis of thick circular plates. In this method, the governing equations are derived from the three-dimensional elasticity equations in cylindrical polar coordinates using a Maclaurin series expansion in thickness coordinate for the unknowns. The formulation is in a form which is particularly amenable to consistent reduction to obtain approximate theories of any desired order. Numerical results obtained using this method are compared with those of elasticity solution for the case of a simply supported plate and for a plate subjected to self-equilibrating normal loads. Results are also given for clamped plates subjected to a uniformly distributed load.
K. T. Sundara Raja Iyengar et al., "Method of Initial Functions in the Analysis of Thick Circular Plates," Nuclear Engineering and Design, Elsevier, Jan 1976.
The definitive version is available at https://doi.org/10.1016/0029-5493(76)90027-3
Mechanical and Aerospace Engineering
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© 1976 Elsevier, All rights reserved.