| Summary: | 碩士 === 中原大學 === 土木工程研究所 === 91 === ABSTRACT
This study presents a space and time-discontinuous Galerkin (TDG) finite element method for analyzing the transient elastodynamic problems of shell structure. This novel method uses both the displacements and velocities as basic unknowns and approximates them as piecewise linear functions which are continuous in space and discontinuous in time. Specifically, the variables of displacements and velocities are discontinuous at beginning of each time step. The improved algorithm employs the Gauss-Seidel method in the study to calculate iteratively the solutions that exist in the numerical implementation. An eight-node isoparametric quadrilateral shell element is applied to establish the equation of motion. Modal superposition, HHT-α and TDG method are used, respectively, to analyze the transient response of shell structures. Three numerical examples are discussed here. Stability analyses of TDG method reveal that such a method retains the unconditionally stable behavior with greater efficiency than other direct time integration algorithms such as HHT-α. In addition, numerical examples are presented, demonstrating that the proposed method is more accurate than several commonly used algorithms in structural dynamic applications.
KEY WORDS：time-discontinuous Galerkin finite element method,
shell structure, modal superposition, HHT-α.
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