Static Bending of Pre-Twisted Cantilever Blading:
Static Bending of Pre-Twisted Cantilever Blading:
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DOI：
10.1243/pime_proc_1957_171_071_02
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发表时间：
1957-06
期刊：
影响因子：
--
通讯作者：
W. Carnegie
中科院分区：
文献类型：
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作者：
W. Carnegie
本文研究了预扭转悬臂叶片的静态弯曲。叶片绕其横截面质心线性预扭转至最大角度为π/2弧度，并被视为根部固支安装。这种叶片的行为，特别是在分布载荷下弯曲时，具有相当重要的实际意义。
通过变分法的应用，从承受集中或均匀分布弯曲载荷的叶片总势能表达式推导出静态平衡方程。平衡方程的解得出了静态挠度的表达式。在0到π/2弧度的预扭转角范围内，计算了以下两种叶片的挠度：（1）承受两种加载方式的窄矩形横截面叶片；（2）承受均匀分布载荷的窄翼型横截面叶片。
多组窄矩形横截面的钢制悬臂叶片横向加载……
In the present paper the static bending of pre-twisted cantilever blading is examined. The blading is pre-twisted linearly about the centroid of its cross-section to a maximum angle of π/2 radians and is considered to be mounted encastre at the root. The behaviour of such blading, particularly when bending under a distributed load, is of considerable practical importance.By the application of variational calculus, static equilibrium equations are derived from expressions for the total potential energy of blades subject to either concentrated or uniformly distributed bending loads. Solution of the equilibrium equations yields expressions for the static deflexions. Over a range of pre-twist angles between 0 and π/2 radians deflexions are calculated for blades of (1) narrow rectangular cross-section when subjected to either method of loading, (2) narrow aerofoil cross-section when subjected to a uniformly distributed load.Sets of steel cantilever blades of narrow rectangular cross-section are loaded laterall...