Wang Taiyong

Lin Fuyong

Chen Shan

Wan Shumin

Wu Zhenyong

School of Mechanical Engineering,

Tianjin University,

Tianjin 300072, China

BENDING BEAM PROBLEM*

Abstract: Use C_nv group decomposes distributed polynomial into the orthogonal functions in periodic region, and the periodic function is approached by those orthogonal functions. The structure of beam is expanded to periodic region and additional forces is added to the beam to make the displacement of beam to be periodic function, and therefore the displacement can be approached by those orthogonal function. Efficiency of the partial defined function are gotten by the Rice method, and the additional forces are determined by boundary condition. This method is elementally to be finite element method. Because of using the orthogonal function the calculation is greatly reduced the calculation is similar to method of boundary element.