根据板的小变形理论,结合加筋平托盘的简化模型以及变厚度板的挠度方程,推导出在地面承载、叉举和上架等3 种不同工况下加筋平托盘受到复杂载荷时的最大挠度方程。由于载荷函数和弯曲刚度函数都是关于x,y 的函数,其求解相当复杂,因此对其作离散化处理,离散化的最大挠度方程易于编程,且为研究平托盘面板结构对最大变形的影响提供了便利的途径。研究表明,离散化的最大近似挠度方程能够保证精度要求,其相对误差小于0. 4%。最后展示了该算法的软件应用实例。

According to the theory of small deformation and combing with the simplified model of the pallets and the deformation formula of variable thickness plate, the maximum deflection formula was deduced when the pallet is under complex load of three working conditions(ground-load, fork-lifting, upper carriage). However, the solving process was quite complicated because of the load function and bending rigidity function. Therefore, it is very necessary to discrete the maximum deflection formula. The benefits of discretization are easy to programming and providing a convenient way for researching the influences of panel structure on maximum deformation. The result showed shown that the discrete approximate maximum deflection equation can ensure the precision requirement, and the relative error is less then 0. 4%. Finally, the software applications of the algorithm were shown.