The non-linear Berger equation is used to obtain solutions for deformation of thin elastic plates, and is solved by applying the charge simulation method. The general solution for the deflection is first obtained by a combination of two kinds of series of Green's functions. Satisfying the boundary conditions at the collocation points, the unknown constants in the general solution are determined, and the deflection of the plate is calculated. Numerical results are presented in dimensionless graphical form for rectangular and isosceles triangular plates.
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AhmedS. R.KhanM. R.IslamK. M. S.UddinM. W.Investigation of stresses at the fixed end of deep cantilever beamsComputers Structs, 1998, 69, 329–338.
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AkandaM. A. S.AhmedS. R.UddinM. W.Stress analysis of gear teeth using displacement potential function and finite differencesInt. J. Numer. Meth. Engng, 2002, 53, 1629–1640.
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AhmedS. R.NathS. K. D.UddinM. W.Optimum shapes of tire-treads for avoiding lateral slippage between tires and roadsInt. J. Numer. Meth. Engng, 2005, 64, 729–750.
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NathS. K. D.Displacement potential approach to solution of elasticity problems of orthotropic composite structures. PhD Dissertation, Bangladesh University of Engineering and Technology, Bangladesh, 2007.
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