| Summary: | 碩士 === 國立中央大學 === 土木工程學系 === 106 === 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.
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