考虑非线性扭转影响的薄壁梁翘曲特性分析

ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2002, Vol. 23 ›› Issue (1): 13-16.

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WARPING INVESTIGATION OF THIN WALLED BEAMS WITH NONLINEAR TORSION

CHENG Wei¹, LIU Dian-zi¹, ZHU De-chao¹, HUANG Chuan-yue²

1. The Solid Mechanics Research Center, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;2. Chinese Helicopter Research and Development Institute, Jingdezhen　333001, China

Received:2000-12-13 Revised:2001-01-15 Online:2002-02-25 Published:2002-02-25

Abstract

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.

Key words: warping theory, nonlinear torsion, helicopter rotor, thin-walled beam

CHENG Wei;LIU Dian-zi;ZHU De-chao;HUANG Chuan-yue. WARPING INVESTIGATION OF THIN WALLED BEAMS WITH NONLINEAR TORSION[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2002, 23(1): 13-16.

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WARPING INVESTIGATION OF THIN WALLED BEAMS WITH NONLINEAR TORSION

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