Large deflection of a circular plate under non uniform load pertaining to multivariable Aleph-functions

Frederic Ayant; Vinod Gill

doi:https://doi.org/10.14445/22315373/IJMTT-V51P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 2 | Year 2017 | Article Id. IJMTT-V51P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P517

Large deflection of a circular plate under non uniform load pertaining to multivariable Aleph-functions

Frederic Ayant, Vinod Gill

Citation :

Frederic Ayant, Vinod Gill, "Large deflection of a circular plate under non uniform load pertaining to multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 2, pp. 136-145, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P517

Abstract

In the present paper the large deflection analysis is carried out to determine the deflections and bending stresses for clamped circular plate under nonuniform load following Berger's approximate method. Here the load shape is assumed in the form of an arbitrary function P(x) involving Jacobi polynomial, Fox-Wright function and multivariable Aleph-functions. The small deflection case is treated as a special cases of large deflection. On account of the general nature in the load shape considered here, the solution of the problem yields many useful and interesting results. Some known and new results have been evaluated by taking suitable values of parameters.

Keywords

Multivariable Aleph-function, Fox-Wright function, Bessel function, Aleph-function of two variable, I-function of two variables, Jacobi polynomial.

References

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