环形板与扇形板弯曲问题的级数解  

SERIES SOLUTION OF THEBENDING PROBLEM FORANNULAR AND SECTOR PLATES

作　　者：李映辉[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《力学与实践》2002年第4期36-38,共3页Mechanics in Engineering

摘　　要：由板的基本方程,将位移和荷载沿环向展开为傅里叶级数,可得用傅里叶级数及多项式表示的环形板和直边简支的扇形板的级数解.还用富里叶级数处理沿径向分段连续荷载的问题.Based on the governing equation of plate deformation the displacements and load are ex-pressed in Fourier series in azimuthal direction, the solutions of annular and sector plates with straight boundary simple supported are expressed in the product of Fourier series and polynomials. The Fourier series are also used for dealing with the prob-lem of the sectional continuous load along radial di-rection.

关 键 词：环形板 扇形板 弯曲问题 傅里叶级数 

分 类 号：O343.1[理学—固体力学]