薄殼結構非線性運動之向量式有限元分析法;Motion Analysis of Thin Shell Structure with Large Displacement by the VFIFE method

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Title:	薄殼結構非線性運動之向量式有限元分析法;Motion Analysis of Thin Shell Structure with Large Displacement by the VFIFE method
Authors:	林珈均;Lin, Chia-Chun
Contributors:	土木工程學系
Keywords:	殼元素;大變位分析;向量式有限元(VFIFE);逆向剛體運動;變形座標;shell element;large displacement;vector form intrinsic finite element (VFIFE);fictitious reversed rigid body motion;deformation coordinates
Date:	2018-07-19
Issue Date:	2018-08-31 11:23:40 (UTC+8)
Publisher:	國立中央大學
Abstract:	為了分析薄殼結構的大變位問題，本研究以向量式有限元以及運動解析作為薄殼結構分析之基本理論。利用滿足歐拉運動定理之有限廣義質點，與藉由運動解析理論中的概念：點值描述，途徑單元和移動基礎架構，以材料力學的微變形概念，確保變形座標系統中，元素的內力滿足平衡方程中，將薄殼結構的非線性運動行為化成小變形問題，且利用 DKT 板元與 CST 薄膜元所結合的殼元素分析運動行為。此外，逆向剛體運動採用四元數的旋轉向量，並引用有限旋轉的運動公式，使其能用合理的數學理論得出有限轉動之運動方程式，並透過薄殼結構非線性運動之數值分析與實驗結果比較，驗證 VFIFE-DKT 元程序的精確性。;In order to simulate the large displacement of a thin shell structure, a novel shell element based on the vector form intrinsic finite element (VFIFE) method is presented. The motion of the shell structure is characterized by the motions of finite particles. The motion of each particle satisfies the Law of Mechanics. In addition, three key processes of the VFIFE method such as the point value description, path element, and connected material frame are adopted. Ensuring that the internal force of the element in the deformation coordinate system is satisfied. In the equilibrium equation, the nonlinear motion of the thin shell structure is transformed into a small deformation problem, and the shell behavior of the DKT plate element combined with the CST thin film element is used to analyze the motion behavior. A fictitious reversed rigid body motion is used to separate the rigid body motion by the quaternion rotation theory and the deformations of the VFIFE-DKT element within each path element. Besides, the finite rotation theory is also applied in the analysis of the motion of each particle. Through the numerical analyses of the benchmark structures and experiments undergo extremely-large displacements and rotation during motion, this novel shell element of the VFIFE method demonstrates its outstanding accuracy and efficiency.
Appears in Collections:	[Graduate Institute of Civil Engineering] Electronic Thesis & Dissertation

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