机械制造与自动化
機械製造與自動化
궤계제조여자동화
Machine Building & Automation
2015年
5期
171-175
,共5页
单壁碳纳米管%质量传感器%欧拉-伯努利梁理论%谐振频率
單壁碳納米管%質量傳感器%歐拉-伯努利樑理論%諧振頻率
단벽탄납미관%질량전감기%구랍-백노리량이론%해진빈솔
SWCNTs%Mass sensor%Euler-Bernoul i Beam Theory%Resonant frequency
基于欧拉－伯努利梁理论对单壁碳纳米管质量传感器的振动特性进行研究。分别考虑悬臂梁式和两端固定式碳纳米管质量传感器，研究吸附质量对其谐振频率漂移的影响。推导出任意位置的吸附质量下，碳纳米管质量传感器的等效刚度、等效质量和谐振频率的解析表达式，推导出传感器的非线性应用方程及其简化形式。在特定位置下吸附质量对不同长度碳纳米管谐振频率的影响进行了研究。数值仿真结果表明，对于不同的边界约束和特定的吸附位置条件下，吸附质量越大、碳纳米管的长度越短，导致的碳纳米管频率漂移越大。对于8 nm长的碳纳米管，在悬臂式约束下，吸附质量越远离固定端，引起的频率漂移越大。而在两端固定约束下，则是吸附质量越靠近固定端，频率漂移越大。揭示了传感器的谐振特性，有助于促进碳纳米管在纳机谐振器领域的推广应用。
基于歐拉－伯努利樑理論對單壁碳納米管質量傳感器的振動特性進行研究。分彆攷慮懸臂樑式和兩耑固定式碳納米管質量傳感器，研究吸附質量對其諧振頻率漂移的影響。推導齣任意位置的吸附質量下，碳納米管質量傳感器的等效剛度、等效質量和諧振頻率的解析錶達式，推導齣傳感器的非線性應用方程及其簡化形式。在特定位置下吸附質量對不同長度碳納米管諧振頻率的影響進行瞭研究。數值倣真結果錶明，對于不同的邊界約束和特定的吸附位置條件下，吸附質量越大、碳納米管的長度越短，導緻的碳納米管頻率漂移越大。對于8 nm長的碳納米管，在懸臂式約束下，吸附質量越遠離固定耑，引起的頻率漂移越大。而在兩耑固定約束下，則是吸附質量越靠近固定耑，頻率漂移越大。揭示瞭傳感器的諧振特性，有助于促進碳納米管在納機諧振器領域的推廣應用。
기우구랍－백노리량이론대단벽탄납미관질량전감기적진동특성진행연구。분별고필현비량식화량단고정식탄납미관질량전감기，연구흡부질량대기해진빈솔표이적영향。추도출임의위치적흡부질량하，탄납미관질량전감기적등효강도、등효질량화해진빈솔적해석표체식，추도출전감기적비선성응용방정급기간화형식。재특정위치하흡부질량대불동장도탄납미관해진빈솔적영향진행료연구。수치방진결과표명，대우불동적변계약속화특정적흡부위치조건하，흡부질량월대、탄납미관적장도월단，도치적탄납미관빈솔표이월대。대우8 nm장적탄납미관，재현비식약속하，흡부질량월원리고정단，인기적빈솔표이월대。이재량단고정약속하，칙시흡부질량월고근고정단，빈솔표이월대。게시료전감기적해진특성，유조우촉진탄납미관재납궤해진기영역적추엄응용。
Vibrational properties of single-wal ed carbon nanotubes ( SWCNTs) as a mass sensor is examined using Euler–Ber-noul i beam theory based approach. ln order to figure out how the attached mass affects the resonant frequency of the carbon nano-tube resonators, the resonators both in bridged and in cantilevered configurations are studied. Firstly, analytical formulas of equiva-lent stiffness, equivalent mass and resonant frequency are developed for CNT-based nanoresonators with attached mass at any lo-cation. ln addition, a simplified form of the nonlinear sensor equation and image analysis of the relationship among load location, the attached mass and resonant frequency have been investigated. Then for different lengths of SWCNTs, the influence of the attached mass in a specific location on the resonant frequency has been derived. The simulation results indicate that in the condition of differ-ent boundary constraints and the specific adsorption location, the heavier attached mass and shorter carbon nanotube is,the greater frequency drift wil be. As for the nanotube of 8nm, the attached mass which is farther away from the fixed boundary causes the grea-ter frequency drift in cantilevered. While the attached mass closer to the fixed boundary causes the greater frequency drift in bridged. The results il ustrate that the new vibrational properties can be used for CNT-based mass sensors for further promote application.
