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

DERIVATION OF NONLINEAR RELATION BETWEEN DISPLACEMENT AND SIZE OF ELASTIC BODY ON ITS SELF WEIGHT BODY FORCE CONDITION

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。

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.