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Stability Analysis of Gradient Elastic Slender Columns
Kong Shenli ,Zhou Shenjie * #,Nie Zhifeng ,Wang Kai
School of mechanical engineering，Shandong University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金（No.10572077,20060422013）
Opened online:12 October 2007
Accepted by: none
Citation: Kong Shenli ,Zhou Shenjie ,Nie Zhifeng .Stability Analysis of Gradient Elastic Slender Columns[OL]. [12 October 2007] http://en.paper.edu.cn/en_releasepaper/content/15645
 
 
The problems of stability of slender columns are solved analytically on the basis of modified couple stress theory. The governing equations of equilibrium and the corresponding boundary conditions are obtained by a combination of the basic equations of modified couple stress theory and variational statement. The governing equations of equilibrium are solved and the buckling load of the slender column is assessed. It is found that the buckling load predicted by the newly established model is size-dependent. The difference between the buckling loads calculated from the newly developed model and classical model is significant when the characteristic sizes such as thickness and diameter are small, but is diminishing with the increase of the characteristic sizes. Comparison of buckling loads and buckling modal shapes for various boundary conditions are presented.
Keywords:buckling loads; strain gradient; size effects; modal shapes
 
 
 

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