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

Yu Aimin

Volume 21 Issue 3

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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.

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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

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References(6)

References

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