Exact Solution of the Harmonic Problem for a Rectangular Plate in Flat Deformation by the Method of Initial Functions
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Polytechnic School of Abomey-Calavi (EPAC) Department of Civil Engineering, University of Abomey-Calavi 01BP2009 Cotonou, BENIN
International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi (UAC) 072 BP 50 Cotonou, BENIN
Online publication date: 2017-06-09
Publication date: 2017-05-24
International Journal of Applied Mechanics and Engineering 2017;22(2):349-361
A wide range of applications is based nowadays on analytical developments which allow a precise and effective approach and short time of computations compared with the time required for numerical methods; in this way these developments are suitable for calculations in real time. This work proposes an approach for solving a two-dimensional harmonic problem of a rectangular plate under local surface loading using Vlasov’s symbolic method of initial functions and a general solution of the harmonic equation for a rectangle. Substituting the harmonic functions in symbolic form for the corresponding solutions allows us to give the exact solution of the problem in trigonometric form.
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