ANALYSIS OF GENERALIZED FINITE CONTINUOUS RIDGELET TRANSFORMS WITH SIMPLY SUPPORTED RECTANGULAR KIRCHHOFF PLATES
Keywords:
finite continuous Ridgelet transform, integral transform, testing function space, inversion theorem, operational calculus, uniqueness, heat equationDOI:
https://doi.org/10.17654/0974324323008Abstract
This work presents the application of generalized finite continuous Ridgelet transform (GFCRT). The solution of Kirchhoff plates with rectangular and simply supported obeying Dirichlet boundary conditions is demonstrated using GFCRT. The inversion formula when applied to the stated problem represents an algebraic solution. In the concluding section, the obtained numerical results are discussed with uniformly distributed patch load, general distributed load and point load.
Received: July 9, 2022
Revised: November 12, 2022
Accepted: January 9, 2023
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