ANALYSIS OF GENERALIZED FINITE CONTINUOUS RIDGELET TRANSFORMS WITH SIMPLY SUPPORTED RECTANGULAR KIRCHHOFF PLATES

Nitu Gupta; V. R. Lakshmi  Gorty

Nitu Gupta Basic Sciences and Humanities, SVKM's NMIMS University, MPSTME, V. L. Mehta Road Vile Parle (W), Mumbai, Maharashtra 400056, India
V. R. Lakshmi Gorty Basic Sciences and Humanities, SVKM's NMIMS University, MPSTME, V. L. Mehta Road Vile Parle (W), Mumbai, Maharashtra 400056, India

Article ID: 2407

Keywords: finite continuous Ridgelet transform; integral transform; testing function space; inversion theorem; operational calculus; uniqueness; heat equation

Abstract

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.

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