Axial vibrations of non-uniform nano-rods with the nonlocal continuum model

摘要：

Carbon nanocones have quite fascinating electronic and structural properties. Their axial vibration isnot discussed in the previous studies. In this paper, based on nonlocal continuum mechanical theories, anonuniform rod models are developed and applied to investigate the small-scale effect and the nonuniformeffect on axial vibration of nanocones. After constructing governing equation of general nonuniform nanorodsaxial vibration of nanocones are analyzed for nonuniform parameters, mode number and nonlocal parameters.Explicit expressions are derived for mode frequencies for clamped-clamped and clamped-free boundaryconditions. It is found that the axial vibration frequencies are highly over estimated by the classical rod modelbecause of ignoring the effect of small length scale.

关键词： nanocone nonlocal nonuniform rod axial vibration

作者: Guo Shuqi Yang Shaopu

作者单位: Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

会议类型: 国内会议

会议名称: 中国力学大会2011暨钱学森诞辰100周年纪念大会

会议地点: 哈尔滨

会议语种:英文

页码: 1-12

在线出版日期: 2011-08-22（万方平台首次上网日期，不代表论文的发表时间）