TAILIEUCHUNG - Small-scale effects on transverse vibrational behavior of single-walled carbon nanotubes with arbitrary boundary conditions

In the present paper, the differential transformation method is employed to develop a semi-analytical solution for free transverse vibration of single-walled carbon nanotube (SWCNT) with arbitrary boundary conditions. | Small-scale effects on transverse vibrational behavior of single-walled carbon nanotubes with arbitrary boundary conditions Engineering Solid Mechanics 3 2015 131-141 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Small-scale effects on transverse vibrational behavior of single-walled carbon nanotubes with arbitrary boundary conditions Farzad Ebrahimi and Parisa Nasirzadeh Department of Mechanical Engineering Faculty of Engineering Imam Khomeini International University Qazvin Iran ARTICLE INFO ABSTRACT Article history In the present paper the differential transformation method is employed to develop a semi- Received September 6 2014 analytical solution for free transverse vibration of single-walled carbon nanotube SWCNT Accepted 15 January 2015 with arbitrary boundary conditions. The small scale effect is taken into consideration via Available online Eringen s nonlocal elasticity theory while the transverse shear deformation effects and rotary 16 January 2015 inertia are taken into account in presented Timoshenko beam theory. Through variational Keywords Free vibration formulation and the Hamilton s principle the governing differential equations and the boundary Nanobeam conditions are derived and then solved by a semi-analytical method called differential Eringen nonlocal elasticity theory transformation method DTM for various frequency modes of beams and different edge conditions. Comparisons made between the present results and results reported by well-known references for special cases treated before have confirmed accuracy and efficiency of the presented approach. The effects of several parameters such as transverse shear deformation effects slenderness ratios boundary conditions and small scale on vibration characteristics of SWCNT are examined. The present study illustrates that the vibration characteristics of an SWCNT are strongly dependent on the small scale parameters. 2015 Growing Science .

• Cơ khí - Chế tạo máy
• Eringen nonlocal elasticity theory
• Semi analytical solution
• Free transverse vibration
• Single walled carbon nanotube
• Differential transformation method
• Identify differential expression profiles
• Fourier transformation
• Biological processes
• Biological systems
• Alpha factor synchronization