Generalized Variational Principle on Nonlinear Theory of Naturally Curved and Twisted Closed Thin-Walled Composite Beams

Yu Aimin

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(3): 290-296

Yu Aimin. Generalized Variational Principle on Nonlinear Theory of Naturally Curved and Twisted Closed Thin-Walled Composite Beams[J]. Applied Mathematics and Mechanics, 2000, 21(3): 290-296.

Citation:

Yu Aimin. Generalized Variational Principle on Nonlinear Theory of Naturally Curved and Twisted Closed Thin-Walled Composite Beams[J]. Applied Mathematics and Mechanics, 2000, 21(3): 290-296.

Citation:

Yu Aimin. Generalized Variational Principle on Nonlinear Theory of Naturally Curved and Twisted Closed Thin-Walled Composite Beams[J]. Applied Mathematics and Mechanics, 2000, 21(3): 290-296.

PDF( 282 KB)

Generalized Variational Principle on Nonlinear Theory of Naturally Curved and Twisted Closed Thin-Walled Composite Beams

Yu Aimin

Key Laboratory of Solid Mechanics of MOE, Tongji University, Shanghai 200092, P R China

Received Date: 1998-06-02
Rev Recd Date: 1999-10-28
Publish Date: 2000-03-15

Abstract

Abstract

Naturally curved and twisted closed thin-walled slender beams of composite material undergoing small strains, large displacements and rotations have been investigated, and an incomplete generalized variational function on theory of elasticity with finite displacement is established for these beams with complete constrained boundaries at two ends. The balance equations as well as all boundary conditions concerned have been deduced from functional stationary value condition. The above-mentioned method can also be extended to other various incomplete constrained boundaries conveniently. In addition, the fundamental equations and concerned formulas in the small displacement theory of the beams can be derived by using above results.
- generalized variational principle,
- geometric nonlinear,
- finite displacement

FullText(HTML)

References(6)

References

[1]	张雷,虞爱民.非线性薄壁复合曲梁广义变分原理的研究[J].应用力学学报,1995,12(2):52～58.
[2]	Bauchau O A, Hong C H.Large displacement analysis of naturally curved and twisted composite beams[J].AIAA Journal,1987,25(11):1469～1475.
[3]	Washizu K.Some considerations on a naturally curved and twisted slender beam[J].Journal of Mathematics and Physics,1964,43(2):111～116.
[4]	诺沃日洛夫B B.非线性弹性力学基础[M].朱兆祥译,北京:科学出版社,1958.
[5]	Bauchau O A.A Beam theory for anisotropic materials[J].Journal of Applied Mechanics,1985,107(6):416～422.
[6]	Tsai S W, Hahn H T.Introduction to Composite Materials[M].Pennsylvania:Technomic Publishing Co,1980