Consider Saint-Venant's principle by means of chain model

被引:0
|
作者
Wu Jianxun
机构
[1] China University of Mining and Technology (Beijing Campus),
关键词
Saint-Venant's principle; operator continued fraction; chain model; dual spaces; macro-elasticity theory;
D O I
10.1007/BF02428375
中图分类号
学科分类号
摘要
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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页码:775 / 782
页数:7
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