Static Bending of Functionally Graded Twisted Beams under Distributed Transverse Loads

受分佈力梯度功能預扭樑的撓曲變形分析

陳為仁(W. R. Chen)

《華岡工程學報》 29期 (2012/06) Pp. 137-144

https://doi.org/10.29987/CCUHKJE.201206.0022

摘要

本文探討受分佈力作用之功能梯度預扭Timoshenko樑的靜態撓曲變形，功能梯度材料性質假設係以冪次方函數沿著厚度方向連續地變化。文中求出ㄧ懸臂預扭樑受分怖力時撓曲變形的解析解，據以探討扭角、體積比指標、厚度比及剪力變形對預扭樑之靜態撓曲特性的影響。

關鍵字

靜態撓曲 ； Timoshenko樑 ； 功能梯度材 ； 扭角 ； 體積比指標

並列摘要

Static bending of a functionally graded twisted Timoshenko beam subjected to distributed transverse loads is analyzed. Functionally graded material properties are assumed to be graded continuously across the thickness direction as a power-law of volume fraction of the constituents. The analytical solution for the static deflection of cantilever twisted beam is then derived. The effects of the twist angle, volume fraction index, and thickness ratio and shear deformation on the static bending characteristics of twist beams are investigated.

並列關鍵字

static bending ； Timoshenko beam ； functionally graded material ； twist angle ； volumefraction