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本文对于在Winkler型弹性地基上的扇形板弯曲问题给出了一种级数解法。对于沿径向简单支撑的扇形板，在周向采用正弦三角函数展开后，将关于径向待定函数的Bessel方程用复Bessel函数表示其解。然后，将其变换成实解形式，从而得到原问题齐次方程的实通解。在此基础上，对于扇形板受集中力或沿周向线分布载荷作用下的弯曲解给出了一般计算方法以及任意横向载荷作用下挠曲函数的表达式，并给出了沿径向和周向都为简单支撑情形的算例。
In this paper, a series solution method for the bending of a sector plate on a Winkler type elastic foundation is given. For fan-shaped plates that are simply supported in the radial direction, after the sine trigonometric function is used in the circumferential direction, the Bessel equation about the radial undetermined function is represented by a complex Bessel function. Then, it is transformed into a real solution form, so that the real solution of the homogeneous equation of the original problem is obtained. On this basis, the general calculation method and the expression of the flexural function under any lateral load are given for the bending solution of the sector plate subjected to concentrated forces or distributed along the circumferential line, and are given along the radial direction. The circumference is an example of a simple support scenario.