Numerical analysis of plates of variable thickness

[摘要] The accuracy of five finite difference methods when applied to the analysis of plates of variable thickness is ;;studied in this thesis. The plates are rectangular with two opposite edges simply supported. The thickness varies only in the direction parallel to the simply supported edges. In this case, the governing partial differential equation can be reduced to a series of independent, linear, fourth order, complete, ordinary differential equations with variable coefficients. The numerical solution of this two-point boundary value problem is studied for the special case of exponential variation of thickness.

[发布机构] Rice University