Complete Solution of Elastica for a Clamped-Hinged Beam, and its Applications to a Carbon Nanotube.

Mikata, Y.

Technical Information Center Oak Ridge Tennessee

关键词: Beams;    Buckling;    Elastica;    Clamped-hinged beam;    Carbon nanotubes;   

RP-ID  :  DE2005850495

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

This paper treats an exact elastica solution for a clamped-hinged beam, and its applications to a carbon nanotube. Although the elastica has a long history, and the exact post-buckling solution for the Euler buckling problem has been known for at least 150 years, it seems that the elastica solution for a post-buckled clamped-hinged beam has never been obtained. Therefore, the exact solution obtained in this paper constitutes an addition to the existing family of elastica solutions. As an application of the results, a post-buckling analysis of a single wall carbon nanotube is studied. Also, a potential use of the post-buckling analysis of the carbon nanotube for the determination of its Youngs modulus has been indicated.