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本文用分区加权残值法研究Ｒｅｉｓｓｎｅｒ矩形板在几何形状、边界条件、作用载荷等不连续时的弯曲问题。将研究对象按结构和载荷的具体情况划分为若干连续的区域，在每个区域内用不同的试函数代入该域内的控制方程，得到内部残值，并代入边界条件和各区域的协调条件得到边界残值和连续性残值，然后用最小二乘法消除残值，求得试函数并据以求出板的内力。数值算例表明，该方法收敛性好，精度较高，可适性强。
In this paper, we study the bending problem of Reissner rectangular plate with discontinuities of geometry, boundary conditions and acting loads by the method of partition weighted residuals. According to the structure and load, the research object is divided into several continuous regions. In each region, the control equations in the region are substituted by different trial functions to obtain the internal residuals. The boundary conditions and the coordination conditions of the regions are obtained The residual value of the border and the residual value of the continuity, and then use the least squares method to eliminate the residual value, find the trial function and then calculate the internal force of the plate. Numerical examples show that this method has good convergence, high precision and adaptability.