書誌事項
- タイトル別名
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- Study on High Performance Averaging Method for System Based on Duffing Equation with Strong Nonlinearity. In Cases that the Jacobian Elliptic Sine and Delta Functions are Used.
- キョウ ヒセンケイ ダフィング ホウテイシキ オ キバン ト スル ケイ ニ タイスル ヘイキンホウ ノ コウセイノウカ ニ カンスル ケンキュウ ヤコビ ノ sn カンスウ オヨビ dn カンスウ オ ボカイ ト スル バアイ
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The improved averaging method suggested in our previous report is developed in order to obtain a highly accurate periodic solution for a strongly nonlinear system. In this reports, the Jacobian elliptic sine and delta functions are applied as generating solutions for harmonically excited Duffing-type equations with softening spring and snap through spring, respectively. Two types of stability criterion for approximate solutions obtained by the present method are also discussed. The present method is applied to the systems with some kind of nonlinear spring. By comparing with the very accurate numerical solutions obtained by applying the shooting method, it is confirmed that the present method gives more accurate solution and more accurate results for stability of the solution than those obtained by the traditional averaging method using the trigonometric function as a generating solution.
収録刊行物
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- 日本機械学会論文集Ｃ編
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日本機械学会論文集Ｃ編 69 (678), 312-319, 2003
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
- 1390001206356757760
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- NII論文ID
- 110002378859
- 130004234646
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- NII書誌ID
- AN00187463
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- ISSN
- 18848354
- 03875024
- http://id.crossref.org/issn/03875024
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- NDL書誌ID
- 6479571
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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
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可