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蜂窝填充薄壁盒式梁的约束弯曲
引用本文:臧庆来,张行,吴国勋.蜂窝填充薄壁盒式梁的约束弯曲[J].中国航空学报,2005,18(3):223-229.
作者姓名:臧庆来  张行  吴国勋
作者单位:[1]Division 508, Beijing University of Aeronautics and Astronautics, Beijing 100083 , China
基金项目:Foundation item : Aeronautical Science Foundation of China (99B51024)
摘    要:在刚性剖面假设的基础上分析具有蜂窝芯材薄壁盒式梁约束弯曲问题。应用分离变量法,建立并求解了两个常微分支配方程。边界条件可以精确满足,同时,解答是用本征函数展开式表达的。剪力图是由三角级数表示的,并用于决定上述本征函数展开式的待定系数。计算结果给出了蒙皮正应力与剪应力以及蜂窝芯材剪应力沿翼弦和翼展的分布规律并显示了附加应力的衰减情况。

关 键 词:盒式梁  蜂窝  约束弯曲  分离变量法  本征函数展开
收稿时间:05 20 2005 12:00AM
修稿时间:06 29 2005 12:00AM

Restrained Bending of Thin-Walled Box Beam with Honeycomb Core
ZANG Qing-lai,ZHANG Xing,WU Guo-xun.Restrained Bending of Thin-Walled Box Beam with Honeycomb Core[J].Chinese Journal of Aeronautics,2005,18(3):223-229.
Authors:ZANG Qing-lai  ZHANG Xing  WU Guo-xun
Institution:Beijing University of Aeronautics and Astronautics;Beijing University of Aeronautics and Astronautics;Beijing University of Aeronautics and Astronautics
Abstract:Restrained bending of thin-walled box beam with honeycomb core is analyzed on the basis of rigid profile assumption. The method of variable separation is applied and two ordinary differential governing equations are established and solved. The boundary conditions are satisfied rigorously and the solutions are expressed by means of eigen function expansions. The diagram of shearing force is formulated by trigonometric series and used to determine the coefficients in above expansions. The computational resuits give the chord and span wise distributions of nomal and shear stress in the cover plate and the honeycomb core. At the same time, the attenuation of additional stress from fixed end to free end along the length of beam is shown clearly.
Keywords:box beam  honeycomb  restrained bending  method of variable separation  eigen function expansion
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