四边支承矩形板弯曲统一求解方法──兼论纳维叶解与李维解法的统一性

UNIFIED SOLUTION METHOD ON RECTANGULAR PLATE BENDING WITH FOUR EDGES SUPPORTED(Discussion on Unification of the Navier Solution and Levy Solution)

摘要: 本文的统一解法可以解决四边支承的矩形板在任意荷载作用下的弯曲。这种解法沟通了纳维叶解与李维解法的内在联系,并解释了经典解法存在局限性的原因。这种求解方法思路清晰,收敛速度快,计算精度高,适用范围广。

Abstract: Using the unified method in this paper, bending solution of rectangular plates with four edges supported can be derived cuder arbitrny load, The method can unite the Navier solution and Levy solution and explain why these classic solutions are limited, The present method has the advantage of simplicity, rapid convergellce, high accuracy and wide applicability.