碳管纳米弹簧的横向与轴向刚度分析

Transverse and Axial Stiffness of Carbon-tube Nanosprings

分析了碳管纳米弹簧在横向、轴向载荷作用下的变形,给出了碳管纳米弹簧的横向刚度K_r与轴向刚度K_l的表达式。为验证K_r、K_l公式的有效性,还将一碳管纳米弹簧K_r、K_l的理论解和相应的试验结果、有限元结果进行了比较。结果发现,理论解和试验结果、有限元结果均较为接近。本文碳管纳米弹簧的横向刚度与轴向刚度表达式对人们进一步研究碳管纳米弹簧的力学特性具有重要的参考价值。

By the classical method of material mechanics, the deformation of carbon-tube nanosprings under transverse and axial loading was analyzed respectively, and the transverse and axial stiffness of carbon-tube nanosprings was formulated. In order to validate the formulae, the stiffness of one carbon-tube nanospring was calculated, and the calculated results were compared with the corresponding experimental and FE （ Finite element） results. It is found that the present theoretical values of the stiffness are very close to both the experimental and FE ones, namely, the present formulae are effective. The present analyses for stiffness of carbon-tube nanosprings are valuable for people to further investigate the mechanical properties of various carbon-tube nanosprings.