Finite Element Analysis of Geometric Nonlinear Structure

• Main Authors: Tyan-Chuen Chang, 張田春
• Other Authors: Yi-Ping Tseng
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/01729290030177865313

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