Large Deformation and Contact Analysis of 2D Frame Structure by the Vector Form Intrinsic Finite Element Method

碩士 === 國立中央大學 === 土木工程研究所 === 93 === In this study, the Vector Form Intrinsic Finite Element (VFIFE, V-5) method equipped with the contact detection and analysis algorithm is applied to simulate the large deformation behaviors of frame structures. The V-5 method models the analyzed domain to be comp...

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Bibliographic Details
Main Authors: Szu-Ying Wu, 吳思穎
Other Authors: none
Format: Others
Language:zh-TW
Online Access:http://ndltd.ncl.edu.tw/handle/12483099179126245396
Description
Summary:碩士 === 國立中央大學 === 土木工程研究所 === 93 === In this study, the Vector Form Intrinsic Finite Element (VFIFE, V-5) method equipped with the contact detection and analysis algorithm is applied to simulate the large deformation behaviors of frame structures. The V-5 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 the V-5 method becomes solving a set of decoupled vector form equations. In the theory of V-5, a convected reference frame and updated deformation coordinate system are used to separate the rigid body motion and pure deformation of the system. After combining these with explicit time integration scheme, the V-5 method can effectively simulate the dynamic behaviors of multi-bodies system having large deformation. To study the impact/ contact problems that commonly admitted in engineering and industry applications, the contact detection and contact force calculation algorithms were developed for the frame elements of the V-5 method. Through the numerical analyses of benchmark problems with large rotation, impact, self-contact characters, the V-5 method demonstrates its accuracy and efficiency on the analysis of frame structure with large deformation.