Nanobeam sensor for measuring a zeptogram mass

被引:52
作者
Eltaher, M. A. [1 ]
Agwa, M. A. [1 ]
Mahmoud, F. F. [1 ]
机构
[1] Zagazig Univ, Mech Design & Prod Dept, Fac Engn, Zagazig, Egypt
关键词
Mass sensor; Carbon nanotubes (CNTs); Nanobeams; Nonlocal elasticity; Vibration; WALLED CARBON NANOTUBES; FREE-VIBRATION ANALYSIS; INERTIA GRADIENT ELASTICITY; NEUTRAL AXIS POSITION; NONLOCAL ELASTICITY; BEAM THEORY; NANOMECHANICAL SENSORS; SHEAR DEFORMATION; WAVE-PROPAGATION; TIMOSHENKO BEAM;
D O I
10.1007/s10999-015-9302-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Single-walled carbon nanotubes (SWCNTs) have attracted intense interest in recent years due to their suitability for a wide range of applications, such as nano-sensors and nano-actuators. The primary objective of this paper is presenting a simplified nonlocal finite element model to investigate the potential application of CNTs as a nanomechanical mass sensor. Nonlocal differential elasticity of Eringen is exploited to reveal the long-range interactions between atoms. The CNT resonator is proposed as a bridge Euler-Bernoulli nanobeam with attached mass. An efficient finite element model is developed to discretize the nanobeam domain and solve the equation of motion numerically. The effect of nonlocal parameter on vibration characteristics is discussed and compared with published works. The effects of added mass on the nonlocal frequency shift percentage and higher vibrational modes are discussed in details. Numerical results show that the mass sensitivity of the nanotube sensor is in the zeptogram range.
引用
收藏
页码:211 / 221
页数:11
相关论文
共 49 条
[1]   The calibration of carbon nanotube based bionanosensors [J].
Adhikari, S. ;
Chowdhury, R. .
JOURNAL OF APPLIED PHYSICS, 2010, 107 (12)
[2]   On the stability of a microbeam conveying fluid considering modified couple stress theory [J].
Ahangar, Sonia ;
Rezazadeh, Ghader ;
Shabani, Rasool ;
Ahmadi, Goodarz ;
Toloei, Alireza .
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, 2011, 7 (04) :327-342
[3]   Small scale effect on vibrational response of single-walled carbon nanotubes with different boundary conditions based on nonlocal beam models [J].
Ansari, R. ;
Sahmani, S. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) :1965-1979
[4]   Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems [J].
Arani, A. Ghorbanpour ;
Kolahchi, R. ;
Mortazavi, S. A. .
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, 2014, 10 (02) :179-191
[5]   A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes [J].
Arash, B. ;
Wang, Q. .
COMPUTATIONAL MATERIALS SCIENCE, 2012, 51 (01) :303-313
[6]  
Aydogdu M., 2014, INT J MECH MATER DES, P1, DOI DOI 10.1007/S10999-014-9292-8
[7]   Modeling carbon nanotube-based mass sensors using axial vibration and nonlocal elasticity [J].
Aydogdu, Metin ;
Filiz, Seckin .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 43 (06) :1229-1234
[8]   Vibrating carbon nanotube based bio-sensors [J].
Chowdhury, R. ;
Adhikari, S. ;
Mitchell, J. .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2009, 42 (02) :104-109
[9]   Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory [J].
Civalek, Omer ;
Demir, Cigdem .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (05) :2053-2067
[10]   Stress and strain-inertia gradient elasticity in free vibration analysis of single walled carbon nanotubes with first order shear deformation shell theory [J].
Daneshmand, F. ;
Rafiei, M. ;
Mohebpour, S. R. ;
Heshmati, M. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (16-17) :7983-8003