矩形板在复杂荷载下静力分析的加权残值法

The Method of Weighted Residuals for Static Analysis of Rectangular Board Under Complex Loading

针对任意集中荷载作用下矩形板求解的复杂性 ,采用加权残值法与δ函数相结合对任意集中荷载与均布荷载共同作用下的矩形板求解 ,根据误差的变化情况 ,分别取一项、二项、三项进行计算 ,并给出了计算简例。分析计算表明 ,用这种方法求解矩形板是合理的 ,可用于工程设计之中。

In the light of the complexity of the solution of rectangular board under the arbitrary concentrated loading,this paper uses the method of weighted residuals and δ function to solve the rectangular board under the arbitrary concentrated loading and uniform loading.According to the error analysis,one,two or three items are calculated respcctively and simplified examples are provided.The calculation and analysis show that this method is quite reasonable and it can be used in the engineering design.