An Application of Vector Form Intrinsic Finite Element Method on Elastic-Plastic and Fragmentary Problem for 2D-Frames

• Main Authors: Chien-Lin Chen, 陳建霖
• Other Authors: Ching-Chiang Chuange
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/5whfnt

碩士 === 中原大學 === 土木工程研究所 === 93 === In this study, the vector form intrinsic finite element (VFIFE) method is applied to simulate plane frame structures having the following 3 behaviors at the same time ,the geometrically nonlinear,materially nonlinear,and frame ruptures. Different from the conventional finite element method which is based on the variational theory, the VFIFE method models the analyzed domain to be composed by finite particles and Newton’s second law is applied to describe each particle’s motion. Thus, the calculation of VFIFE method becomes solving a set of uncoupled vector form equations. In the analysis of VFIFE method, the deformation coordinate system is used to separate the rigid body motion and pure deformation of the system，the moment-curvature relation is used to reflect the elastic-plastic behavior，and adding nodes is used to simulation fracture behavior of plane frame structure. After combining these with explicit time integration scheme, the VFIFE has the capability to simulate plane frame transformed form a continuous one and to study faiure and collapse without any matrix and iteration process.