| Summary: | 碩士 === 淡江大學 === 土木工程研究所 === 82 === In this paper, we majored in the nonlinear geometric large
deformation analysis of plane frame. According to different
kinds of defined strains by the point of view conjugate energy
, we could promote the various stresses definition. The
relation of siffness matrix difference between the governing
balanced equation and the governing incremental-balanced
equation was explained, and the stiffness of different
coordinations was studied. The governing incremental-balanced
equation could be divided to three category methods: The first
method using virtual work principle could be classified by
(1)Total Lagrangian method and (2)Updated Langrangian method.
The second method was the differentiation of the governing
balanced equation. The third method using numerical technical
method was classified by (1)Newton-Raphson method,(2)modified
Newton-Raphson method, (3)directly making use of stiffness from
the governing balanced equation. The plane structural problem
was studied by the direct method and incremental load method.
Accurate results was obtained by both methods
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