The Nonlinear Numerical Analysis Method for Frames

Zhu Ju-fen; Zhou Cheng-fang; Lü He-xiang

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Zhu Ju-fen, Zhou Cheng-fang, Lü He-xiang. The Nonlinear Numerical Analysis Method for Frames[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1099-1109.

Citation:

Zhu Ju-fen, Zhou Cheng-fang, Lü He-xiang. The Nonlinear Numerical Analysis Method for Frames[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1099-1109.

Citation:

Zhu Ju-fen, Zhou Cheng-fang, Lü He-xiang. The Nonlinear Numerical Analysis Method for Frames[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1099-1109.

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The Nonlinear Numerical Analysis Method for Frames

Dalian Institute of Technology, Dalian

Received Date: 1986-10-15
Publish Date: 1987-12-15

Abstract

Abstract

This paper gives the direct formulas of stiffness matrixes of two-kinds of Kirchhoff nonlinear elements under total-Lagrange coordinate. For the first one, it includes not only the quadric terms of increments of strain and displacement but also-the influence of rotations. For the second one, it is simplified and its nonlinear is considered by taking into account the influence of axial force on the equilibrium equation in the linear beam theory.The nonlinear equation obtained from both of the above-Said elements is solved by mixed Newton-Raphson method, and by comparing the results obtained from two kinds of nonlinear beam some important conclusions that we can know how to use them right are given in our paper.

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References(9)

References

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