Vibration of a carbyne nanomechanical mass sensor with surface effect

被引:28
作者
Agwa, M. A. [1 ]
Eltaher, M. A. [1 ]
机构
[1] Zagazig Univ, Mech Design & Prod Dept, Fac Engn, POB 44519, Zagazig, Egypt
来源
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING | 2016年 / 122卷 / 04期
关键词
1ST PRINCIPLES; NANOWIRES; BEAM; TRANSITION; NANOBEAMS; BEHAVIOR;
D O I
10.1007/s00339-016-9934-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a comprehensive model to investigate the influence of surface elasticity and residual surface tension on the natural frequency of flexural vibrations of nanomechanical mass sensor using a carbyne resonator. Carbyne is modeled as an equivalent continuum circular cross-section Timoshenko nanobeam including rotary inertia and shear deformation effects. Surface stress and surface elasticity are presented via the Young-Laplace equation. The analytical solution is presented and verified with molecular dynamics solution. The results show that the carbyne resonator can measure a very small mass with weight below 10(-3) zg. The effects of surface elasticity, residual surface tension, carbyne length, and mass position on the fundamental frequencies are illustrated. This study is helpful for characterizing the mechanical behavior of high-precision measurement devices such as chemical and biological sensor.
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页数:8
相关论文
共 34 条
[1]   Free vibration of microscaled Timoshenko beams [J].
Abbasion, Saeed ;
Rafsanjani, Ahmad ;
Avazmohammadi, Reza ;
Farshidianfar, Anoushiravan .
APPLIED PHYSICS LETTERS, 2009, 95 (14)
[2]   Mechanically Induced Metal Insulator Transition in Carbyne [J].
Artyukhov, Vasilii I. ;
Liu, Mingjie ;
Yakobson, Boris I. .
NANO LETTERS, 2014, 14 (08) :4224-4229
[3]   Nanobeam sensor for measuring a zeptogram mass [J].
Eltaher, M. A. ;
Agwa, M. A. ;
Mahmoud, F. F. .
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, 2016, 12 (02) :211-221
[4]   Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams [J].
Eltaher, M. A. ;
Mahmoud, F. F. ;
Assie, A. E. ;
Meletis, E. I. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 :760-774
[5]   Frequency analysis of nanotubes with consideration of surface effects [J].
Farshi, Behrooz ;
Assadi, Abbas ;
Alinia-ziazi, Ali .
APPLIED PHYSICS LETTERS, 2010, 96 (09)
[6]  
Giannopoulos GI, 2014, PHYSICA E, V56, P36, DOI [10.1016/j.physe.2013.07.024, 10.1016/j.Physe.2013.07.024]
[7]  
GURTIN ME, 1975, ARCH RATION MECH AN, V57, P291, DOI 10.1007/BF00261375
[8]   Dissipative surface stress effects on free vibrations of nanowires [J].
Hasheminejad, Seyyed M. ;
Gheshlaghi, Behnam .
APPLIED PHYSICS LETTERS, 2010, 97 (25)
[9]   Surface effect on the elastic behavior of static bending nanowires [J].
He, Jin ;
Lilley, Carmen M. .
NANO LETTERS, 2008, 8 (07) :1798-1802
[10]   Surface stress effect on bending resonance of nanowires with different boundary conditions [J].
He, Jin ;
Lilley, Carmen M. .
APPLIED PHYSICS LETTERS, 2008, 93 (26)