| A Comparative Study on Single Time Schemes Based on the FEM for the Analysis of Structural Transient Problems |
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Woo-Ram Kim, Youn-Dae Choi |
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Korea army academy |
| 구조물의 시간에 따른 거동 해석을 위한 유한요소법에 기초한 단일 스텝 시간 범주들의 비교연구 |
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김우람, 최윤대 |
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육군3사관학교 |
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| Abstract |
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New time schemes based on the FEM were developed and their performances were tested with 2D wave equation. The least-squares and weighted residual methods are used to construct new time schemes based on traditional residual minimization method. To overcome some drawbacks that time schemes based on the least-squares and weighted residual methods have, ad-hoc method is considered to minimize residuals multiplied by others residuals as a new approach. And variational method is used to get necessary conditions of ad-hoc minimization. A-stability was chosen to check the stability of newly developed time schemes. Specific values of new time schemes are presented along with their numerical solutions which were compared with analytic solution. |
| Key Words:
Finite Element Method, Transient Analysis, Single Time Schemes, Least-squares Method, Weighted Residual Method, Ad-hoc Method, Recurrence Method |
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