Functionally Graded Thin Circular Plates with Different Moduli in Tension and Compression: Improved Föppl–von Kármán Equations and Its Biparametric Perturbation Solution

The biparametric perturbation method is applied to solve the improved Föppl–von Kármán equation, in which improvements of equations come from two different aspects: first aspect concerns materials, and other deformation. material considered this study has bimodular functionally graded properties comparison with traditional materials commonly used classical equations. At same time, consideration for deformation deals not only large deflection as indicated equations, but also larger rotation angle, incorporated by adopting precise curvature formulas simple second-order derivative term deflection. To fully demonstrate effectiveness proposed, sets parameter combinations, one being a central defection load, are solution Results indicate that solutions combinations consistent, they may be reduced single-parameter obtained our previous study. successful application provides new ideas solving similar nonlinear differential