跟随均布荷载作用下变宽度悬臂薄板的大挠度问题

本用有限差分法研究了跟随均布荷载作用下非线性变宽度悬臂薄板的大挠度问题；分析了变宽度悬臂的板自由端的挠度、水平位移、转角和最大正应力与荷载的关系，并分析了板变宽度对变形的影响；同时把计算结果与线性理论进行了比较。

Large Deflection Problem of a Cantilevered Thin Plate With Variable Width Subjected to Uniform Pressure

In this paper, the large deflection problem of the cantilevered thin plate with nonlinear variable width subjected to uniform pressure is studied by means of the finite difference method. The relations between the deflection, the horizontal displacement, the rotation at the free end, the maximum normal stress of the plate and loading on the plate are analyzed. And the influence of the variable width of the plate on the deformations is discussed. The calculating results are compared with the linear theory.