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点的两类定义下的运动与变形分析

Analysis of Motion and Deformation under Two Definitions of Point
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摘要 从0到无穷小的跃迁体现了从无到有的质变.力学中有基于0和基于无穷小的关于点的两种类型的定义,它们是准确分析点的运动、点的应力应变等理论的关键基础.讨论了基于0的和基于无穷小的点的两类定义,分析了它们在不同内容中含义的具体差异.并基于点的不同定义,深入地辨析了点的运动、点的应力应变等问题,为准确认知相关概念提供借鉴. The transition from zero to infinitesimal represents a qualitative change from nonexistence to existence.There are two types of definitions of points in mechanics,zero based and infinitesimal based,and they are the key basis for an accurate analyzing of the theory of point motion,point stress and strain.Two kinds of definitions of zerobased and infinitesimal points are discussed,and the specific differences of their meanings in different contents are analyzed.Based on the different definitions of points,the motion,stress and strain are analyzed in detail,as well as the reference for accurate cognition of related concepts is provided.
作者 李宏德 LI Hongde(College of Electrical and Mechanical and Vehicle Engineering,Zhengzhou University of Technology,Zhengzhou 450044,China)
出处 《河南科学》 2020年第12期1922-1925,共4页 Henan Science
关键词 0 无穷小 运动 变形 point zero infinitesimal motion deformation

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