噪声与振动控制2016，Vol.36Issue(6)：1-6,6.DOI:10.3969/j.issn.1006-1335.2016.06.001
非局部理论的裂纹纳米谐振梁振动特性
Vibration Characteristics of a Cracked Resonant Nano-Beam Considering the Nonlocal Effect
摘要
Abstract
Characteristics of free transverse vibration and forced vibration of a cracked resonant nano-beam with both ends fixed are studied. The nonlocal effect, nonlinear axial stretching force and the crack effect are considered. The cracked nano-beam is modeled as two segments connected by a massless rotational spring located in the crack section. Dynamic equations of the nano-beam are derived and its nonlinear response is investigated by using the multiple scales method. The influence of the nonlocal effect and the crack position on the vibration nonlinearity is discussed. The numerical results show that enlarging the nonlocal effect coefficient can decrease the values of the natural frequencies and strengthen the nonlinearity of the resonant vibration. The effects of the crack parameters on the vibration characteristics are complicated. This study may be of interest for the design, performance improvement and health monitoring of nano-devices.关键词
振动与波/纳米梁/裂纹/非局部效应/非线性响应Key words
vibration and wave/nano-beam/crack/nonlocal effect/nonlinear response分类
数理科学引用本文复制引用
郭旭晓,周含,张文明..非局部理论的裂纹纳米谐振梁振动特性[J].噪声与振动控制,2016,36(6):1-6,6.基金项目
国家优秀青年科学基金项目(11322215)；国家高层次人才特殊支持计划项目（青年拔尖人才）；教育部霍英东青年教师基金项目 （11322215）
