Multigrid Method Using Beam Element for Framed Structure Modeled by Solid Elements
| Project/Area Number |
24560080
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Nihon University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
ISOBE Daigoro 筑波大学, システム情報工学研究科(系), 教授 (00262121)
YAMASHITA Takuzo 国立研究開発法人防災科学技術研究所, その他部局等, 研究員 (40597605)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 有限要素法 / マルチグリッド法 / 梁要素 / ソリッド要素 / 骨組構造 / 構造解析 / 大規模並列解析 / ファイバー / 大規模並列計算 / 共役勾配法 |
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| Outline of Final Research Achievements |
A preconditioner for the conjugate gradient method based on a multigrid (MG) method (the fiber coarse grid MG method) is proposed for the finite element analysis of framed structures modeled by a fine mesh of solid elements. A frame model of beam elements (beam model) is used as a coarse grid of the fine mesh of solid elements. The degenerated Timoshenko beam element is used for the beam model. The proposed method is a kind of two grid method. The methods of the restriction and prolongation for the proposed MG method are derived. Good convergence property compared to a simple diagonal scaling preconditioner is attained by the proposed MG preconditioner. A prototype of analysis framework for the proposed method, which consists of I/O system, pre- and post- systems is also developed.
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Report
(5 results)
Research Products
(31 results)
