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自重体积力作用下弹性体位移与尺寸间非线性关系的推导
引用本文:徐嘉谟.自重体积力作用下弹性体位移与尺寸间非线性关系的推导[J].力学学报,1997,5(4):340-345.
作者姓名:徐嘉谟
作者单位:中国科学院地质研究所工程地质力学开放研究实验室,北京100029
摘    要:本文用相似理论推导了线弹性体在自重体积力作用下原型与模型间的位移关系式。根据对这个关系式讨论的结果, 以及对竖直立柱自重压缩问题的解析, 得到了位移与尺寸间的非线性关系。

关 键 词:相似理论  自重体积力  位移  立柱压缩  平方律
收稿时间:1997-08-30

DERIVATION OF NONLINEAR RELATION BETWEEN DISPLACEMENT AND SIZE OF ELASTIC BODY ON ITS SELF WEIGHT BODY FORCE CONDITION
Xu Jiamo.DERIVATION OF NONLINEAR RELATION BETWEEN DISPLACEMENT AND SIZE OF ELASTIC BODY ON ITS SELF WEIGHT BODY FORCE CONDITION[J].chinese journal of theoretical and applied mechanics,1997,5(4):340-345.
Authors:Xu Jiamo
Institution:Institute of Geology, Chinese Academy of Sciences, Beijing 100029
Abstract:The relation between displacement of prototype and that of model if derived for the linear elastic body at its body force condition of self-weight based on the similarity theory.Accodding to the results of discussion of the equation representing the relation and analyse of a pillar body self weight compression, the nonlinear relation between displacement and size is obtained.
Keywords:Similarity theory  Self weight body force  Displacement  Pillar body self weight compression  Square law
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