沿直边非简支的环扇形板的Fourier—Bessel级数解——扇形、环形、环扇形板的一般解

Solution of Annular Sector Plate Other Than Simply Suppored Along Radial Edges by Fourier-Bessel Series——General Solution of Sector, Annular and Annular Sector Plate

本文以加补充项的Fourier—Bessel双重级数的位移模式,对沿直线边界非简支的环扇形弹性簿板在各种边界条件下的弯曲问题,提出一种新的、应用范围比较广的、便于计算的、解析形式的解法——扇形、环形、环扇形板的一般解,给出了算例,推广了加补充项的富氏级数法的应用范围。

In this paper a solution of deflection in the form of Fourier-Bessel double series with supplementary terms is proposed to analyse bending problems of thin elastic annular sector plate other than simply supported along radial edges and arbitrarily supported along circular edges.This new solution is expressed in an analytical form.This is general solution of sector, annular and annular sector plate.The results of computational examples are ob-tained.Thus the applied range of the Fourier method with supplementary terms is extended.