变厚度矩形薄板弯曲问题的DQ法研究

DQ Research on the Thickness Change of Rectangular Thin Steel Plate's Curving

针对矩形薄板的线性挠曲控制微分方程及其边界条件,在空间域采用DQ法离散,得到以板各节点弯曲挠度为全部待定参数的线性方程组,只需一次求解该方程组即得到各节点的弯曲挠度,再由高阶Lagrange插值得到薄板全域内的任意点挠度。

In view of the rectangular thin steel plate＇s linear winding control differential equation and the boundary condition, with the application of DQ in the spatial domain to be separate, obtaining the solution take the board various nodes curving amount of deflection as the complete undetermined parameter system of linear equations, it only needs one time to solve this equation set namely to obtain the various nodes curving amount of deflection, and may obtain in the thin steel plate closed region bitrary point amount of deflection again by the higher order Lagrange interpolation.