| 考虑非线性扭转影响的薄壁梁翘曲特性分析 |
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| 引用本文： | 程伟,刘电子,诸德超,黄传跃.考虑非线性扭转影响的薄壁梁翘曲特性分析[J].航空学报,2002,23(1):13-16. |
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| 作者姓名： | 程伟 刘电子 诸德超 黄传跃 |
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| 作者单位： | 1. 北京航空航天大学,固体力学研究所,北京,100083
2. 中国直升机设计研究所,江西,景德镇,333001 |
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| 基金项目： | 航空科学基金资助项目 ( 98B5 10 33) |
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| 摘 要： | 考虑翘曲和大扭角变形的影响,研究薄壁梁结构轴向与扭转非线性耦合弹性变形问题。忽略高阶非线性的影响,结合升阶谱有限元方法,形成对称的非线性几何矩阵,从而建立一个稳定的非线性方程数值解模型。针对矩形截面薄壁梁结构,通过与线性结果对比,分析非线性对截面翘曲正应力、自由端转角的影响。
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| 关 键 词： | 翘曲理论 非线性扭转 直升机旋翼 薄壁梁 |
| 文章编号： | 1000-6893(2002)01-0013-04 |
| 修稿时间： | 2000年12月13 |
WARPING INVESTIGATION OF THIN WALLED BEAMS WITH NONLINEAR TORSION |
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| CHENG Wei ,LIU Dian zi ,ZHU De chao ,HUANG Chuan yue\.WARPING INVESTIGATION OF THIN WALLED BEAMS WITH NONLINEAR TORSION[J].Acta Aeronautica et Astronautica Sinica,2002,23(1):13-16. |
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| Authors: | CHENG Wei LIU Dian zi ZHU De chao HUANG Chuan yue\ |
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| Institution: | CHENG Wei 1,LIU Dian zi 1,ZHU De chao 1,HUANG Chuan yue\+2 |
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| Abstract: | A nonlinear mathematical model is developed to describe the nonlinear deformation of a thin walled beam with the single closed cell under the influence of the nonlinear torsion. By using the hierarchical finite element method, the symmetrical geometry stiffness matrix is given. Then, a stable nonlinear numerical algorithm is formed. In the case of a thin walled rectangular beam, the nonlinear results are compared to the linear results to analyze the nonlinear effects on the main mechanical behaviors that include direct warping strain and the angle of torsional rotation of a cross section. |
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| Keywords: | warping theory nonlinear torsion helicopter rotor thin walled beam |
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