Abstract
This paper aims at large deflection bending analysis of variable-thickness tapered plate under three-dimensionally hygrothermal stresses based on Kirchhoff-love assumptions with von Kármán strains. Three dimensionally hygrothermal loads on plate are researched with different heat and moisture boundaries which seems to be overlooked in previous studies. The formulation of varying tapered thickness is further amended by eliminating singular sharp edges in previous literatures. The highly coupled and nonlinear variable-coefficient governing partial differential equations for the variable-thickness plate in hygrothermomechanically bending with arbitrary tapering thickness profiles have been derived and solved by a unified wavelet solving methodology, which overcomes the limitations of additional Neumann boundary of plate thickness in previous homotopy-based work. Numerical convergence is performed to verify the formulation and highly accurate wavelet solutions are given in excellent agreement with published results, while the ultimate deflection to thickness can be up to over 10 rarely obtained by other methods. Parametric studies are carried out to investigate the large deflection behavior of tapered plates with different geometric parameters. It is concluded that the largely deformed characteristics of variable-thickness tapered plate in hygrothermal environment is highly influenced prominently by effects of tapered ratios and profiles’ polynomial orders.
Published Version
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