等直蜂窝夹芯盒式矩形截面杆约束扭转应力和位移的解析解

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基金项目: 航空基金资助项目(99B51024)

Analytical Solution of Restrained Torsional Stresses and Displacement for Rectangular-Section Box Bar With Honeycomb Core

Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

摘要: 用待定函数法建立等截面蜂窝夹芯盒式矩形截面直杆约束扭转微分方程并求得其通解．求得无量纲化的面板正应力、剪应力，芯材剪应力和横截面的翘曲位移．数值结果表明，面板正应力沿轴向衰减很快．距固定端20 h远处横截面的面板正应力仅为固定端处的百分之一．
- 蜂窝结构 /
- 约束 /
- 扭转 /
- 衰减 /
- 矩形截面杆 /
- 正应力 /
- 剪应力 /
- 翘曲位移
Abstract: Differential equation of restrained torsion for rectangular-section box bar with honeycomb core was established and solved by using the method of undetermined function.Non-dimension normal stress,shear stress acting in the faceplate and shear stress acting in the honeycomb-core and warping displacement were deduced.Numerical analysis shows the normal stress attenuates quickly along x-axis.Normal stress acting on the crosssection at a distance of 20h from the fixed end is only one percent of that acting on the fixed end.
- honeycomb structure /
- constrain /
- twist /
- attenuation /
- rectangular section box bar /
- normal stress /
- shear stress /
- warping displacement

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