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

ZHANG Ying-shi; ZHANG Xing

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(7): 711-717

ZHANG Ying-shi, ZHANG Xing. Analytical Solution of Restrained Torsional Stresses and Displacement for Rectangular-Section Box Bar With Honeycomb Core[J]. Applied Mathematics and Mechanics, 2004, 25(7): 711-717.

Citation:

PDF( 287 KB)

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

Received Date: 2001-12-21
Rev Recd Date: 2003-11-01
Publish Date: 2004-07-15

Abstract

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

FullText(HTML)

References(6)

References

[1]	Gerard R.Minimum Weight Analysis of Compression Structures[M].New York:New York University Press, 1956.
[2]	Khalid M Tahir, ZHANG Xing.Analysis of shear stress distribution in honeycomb aircraft wing structure subjected to (s.t.) toque[J].Chinese Journal of Aeronautics,1997,10(3):182—187.
[3]	Vlasov V Z. Thin-Walled Elastic Beam[M].2nd Ed.Israel Prog，Jerusalem:for Scientific Translation,1961.
[4]	von Karman,CHIEN Wei-zang.Torsion with variable trist[J].J of Aero Sci,1946,13:503—510.
[5]	Murray N W. Introduction to the Theory of Thin-Walled Structures[M].Oxford:Clarendon Press, 1984.
[6]	詹涅里杰 Г Ю，巴诺夫柯ЯГ.弹性薄壁杆件的静力学[M].胡海昌, 解伯民译.北京：科学出版社，1965.