航空板结构强度的边界元法

边界元即边界积分方程方法,可方便地用来解板弯曲问题。本文在局部极坐标下建立公式,采用具有较高协调性的函数插值方案,利用外点技术完全避免边界奇异积分。列举的一系列算例表明该方法输入数据少、机时省、精度高,是板结构强度分析的一个有效方法。

PANELS OR PLATES UNDER BENDING LOADS BY BOUNDARY ELEMENT METHOD

Kirchhoff type plate bending problems can be solved feasibly by boundary integral equation method. The solution of the plate bending problems by direct boundary integral equation method is shown by many e-xamples which might be interested in by aeronautic and astronautic engineers. In this paper the authors used the three generalized displacement unknowns （w, , ,） with boundary element interpolation of Hermitian type, formulized in polar coordinates, This efficient procedure is in fact a modification of previous works （G. Bezine, 1978; M. Stern, 1979; and Q. H. Du, et al., 1984）. A good number of computational examples are given. They are: cantilever triangular and square plates; Square plates with central opening and eccentric opening and rectangular plates with single hole or multiholes. The computations show that more accurate results with less computational cost can be obtained as compared with previous works.