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- 渡辺 知規
- 千葉大学大学院工学研究科人工システム科学専攻
書誌事項
- タイトル別名
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- Numerical Analysis for a Longitudinal Impact of a Cylindrical Bar with the Constitutive Equation represented by an Exponential Function
- ショウゲキ カジュウ オ ウケル 1ジゲンボウ ノ オウリョクハ デンパ カイセキ エ ノ シスウ カンスウガタ コウセイソク ノ オウヨウ
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The properties of the numerical methods for analyzing the stress wave propagation which is caused by a longitudinal impact of a cylindrical bar have been investigated by a one-dimensional model. An exponential function is chosen as the constitutive equation in order to realize that the one-dimensional model possesses some physical properties for the numerical calculation. We have treated the numerical methods which keep the physical properties intrinsically possessed by the system such as the laws of conservation of momentum and energy. Namely, we have focused on the integrable difference scheme and the symplectic scheme as the numerical methods for the analysis. We have compared those two schemes with the general-purpose methods such as Euler method, Leapfrog method and Runge-Kutta method on the accuracy and the efficiency of the calculation. The properties of each numerical method for the present model are revealed. Especially, it is shown that the integrable difference scheme and the symplectic scheme can maintain a certain accuracy for the long time behavior of the stress wave.
収録刊行物
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- 日本機械学会論文集Ａ編
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日本機械学会論文集Ａ編 76 (767), 893-901, 2010
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390001204478798208
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- NII論文ID
- 110007685190
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- NII書誌ID
- AN0018742X
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- ISSN
- 18848338
- 03875008
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- NDL書誌ID
- 10784005
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
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