| CONSIDER SAINT-VENANT'S PRINCIPLE BY MEANS OF CHAIN MODEL |
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| 作者姓名： | 武建勋 |
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| 作者单位： | Wu Jianxun (China University of Mining and Technology (Beijing Campus)，Beijing 100083，P R China) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina!(1 90 72 0 70 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＡｃｃｏｒｄｉｎｇｔｏＬｏｖｅ1],Ｓａｉｎｔ＿Ｖｅｎａｎｔ’ｓＰｒｉｎｃｉｐｌｅｃａｎｂｅｅｘｐｒｅｓｓｅｄａｓ:Ｔｈｅｅｆｆｅｃｔｏｆａｓｅｌｆ-ｅｑｕｉｌｉｂｒａｔｅｄｓｙｓｔｅｍｏｆｆｏｒｃｅｓａｃｔｉｎｇｉｎａｓｐｈｅｒｅｗｉｌｌｒｅｓｔｒｉｃｔｉｎａｓｍａｌｌｄｏｍａｉｎｎｅａｒｔｈｅｓｐｈｅｒｅ .Ｔｈｉｓｐｒｉｎｃｉｐｌｅｉｓｔｈｅｂｒｉｄｇｅｂｅｔｗｅｅｎｔｈｅｅｌａｓｔｉｃｉｔｙｔｈｅｏｒｙａｎｄａｐｐｌｉｃａｔｉｏｎ ,ｂｕｔｉｔｈａｓｎｏｔｂｅｅｎｐｒｏｖ…
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| 关 键 词： | Saint-Venant’s principle operator continued fraction chain model dual spaces macro-elasticity theory |
| 收稿时间： | 25 June 1999 |
Consider Saint-Venant's principle by means of chain model |
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| Wu Jianxun.CONSIDER SAINT-VENANT''''S PRINCIPLE BY MEANS OF CHAIN MODEL[J].Applied Mathematics and Mechanics(English Edition),2000,21(7):775-782. |
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| Authors: | Wu Jianxun |
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| Institution: | (1) China University of Mining and Technology (Beijing Campus), 100083 Beijing, P R China |
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| Abstract: | A precise background theory of computational mechanics is formed. Saint_Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model. The decay of effect of a self_equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint_Venant's principle is described as the convergence of operator continued fraction. In case of divergence the effect of a self_equilibrated system of forces may be non_zero at even infinite distant sections, so Saint_Venant's principle is not a common principle. |
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| Keywords: | Saint_Venant's principle operator continued fraction chain model dual spaces macro_elasticity theory |
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