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Esmaeal Ghavanloo,S. AHMAD FAZELZADEH 성균관대학교(자연과학캠퍼스) 성균나노과학기술원 2013 NANO Vol.8 No.5
In this paper, the effect of environmental temperature on the radial breathing mode (RBM) frequency of single-walled carbon nanotubes (SWNTs) with arbitrary chirality is investigated. The analytical formulation is developed which can link the frequency to the geometrical parameters of the SWCNT and environmental temperature. Good agreement between the present results and existing experimental data is found. The results show that the predicted RBM frequencies of the SWCNTs decrease with increasing of temperature. The softening of the C–C force constants in the SWCNT is responsible for the temperature-induced downshift in the RBM frequencies.
Mohammad Ali Kazemi-Lari,Esmaeal Ghavanloo,S. Ahmad Fazelzadeh 대한기계학회 2013 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.27 No.7
In this paper, the nonlocal Euler-Bernoulli beam model is used to predict the static and dynamic structural instability of carbon nanotubes (CNTs) subjected to a distributed tangential compressive load. The CNT is considered to be embedded in a Kelvin-Voigt viscoelastic medium. Equation of motion and boundary conditions are obtained using the extended Hamilton’s principle and the extended Galerkin’s method is applied in order to transform the resulting equations into a general eigenvalue problem. The derived equations are validated by comparing the results achieved from the new derivations with existing solutions in literature. Effects of several experimentally interesting boundary conditions are considered on the stability characteristics of the CNT. Moreover, the influences of small scale parameter and material properties of the surrounding viscoelastic medium on the stability boundaries are examined.
Large deflection of viscoelastic beams using fractional derivative model
Seyed Masoud Sotoodeh Bahraini,Mohammad Eghtesad,Mehrdad Farid,Esmaeal Ghavanloo 대한기계학회 2013 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.27 No.4
This paper deals with large deflection of viscoelastic beams using a fractional derivative model. For this purpose, a nonlinear finite element formulation of viscoelastic beams in conjunction with the fractional derivative constitutive equations has been developed. The four-parameter fractional derivative model has been used to describe the constitutive equations. The deflected configuration for a uniform beam with different boundary conditions and loads is presented. The effect of the order of fractional derivative on the large deflection of the cantilever viscoelastic beam, is investigated after 10, 100, and 1000 hours. The main contribution of this paper is finite element implementation for nonlinear analysis of viscoelastic fractional model using the storage of both strain and stress histories. The validity of the present analysis is confirmed by comparing the results with those found in the literature.
Analysis of an electrically actuated fractional model of viscoelastic microbeams
Bahraini, Seyed Masoud Sotoodeh,Eghtesad, Mohammad,Farid, Mehrdad,Ghavanloo, Esmaeal Techno-Press 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.52 No.5
The MEMS structures usually are made from silicon; consideration of the viscoelastic effect in microbeams duo to the phenomena of silicon creep is necessary. Application of the fractional model of microbeams made from viscoelastic materials is studied in this paper. Quasi-static and dynamical responses of an electrically actuated viscoelastic microbeam are investigated. For this purpose, a nonlinear finite element formulation of viscoelastic beams in combination with the fractional derivative constitutive equations is elucidated. The four-parameter fractional derivative model is used to describe the constitutive equations. The electric force acting on the microbeam is introduced and numerical methods for solving the nonlinear algebraic equation of quasi-static response and nonlinear equation of motion of dynamical response are described. The deflected configurations of a microbeam for different purely DC voltages and the tip displacement of the microbeam under a combined DC and AC voltages are presented. The validity of the present analysis is confirmed by comparing the results with those of the corresponding cases available in the literature.
Analysis of an electrically actuated fractional model of viscoelastic microbeams
Seyed Masoud Sotoodeh Bahraini,Mohammad Eghtesad,Mehrdad Farid,Esmaeal Ghavanloo 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.52 No.5
The MEMS structures usually are made from silicon; consideration of the viscoelastic effect inmicrobeams duo to the phenomena of silicon creep is necessary. Application of the fractional model of microbeams made from viscoelastic materials is studied in this paper. Quasi-static and dynamical responses of an electrically actuated viscoelastic microbeam are investigated. For this purpose, a nonlinear finite element formulation of viscoelastic beams in combination with the fractional derivative constitutive equations is elucidated. The four-parameter fractional derivative model is used to describe the constitutive equations. The electric force acting on the microbeam is introduced and numerical methods for solving the nonlinear algebraic equation of quasi-static response and nonlinear equation of motion of dynamical response are described. The deflected configurations of a microbeam for different purely DC voltages and the tip displacement of the microbeam under a combined DC and AC voltages are presented. The validity of the present analysis is confirmed by comparing the results with those of the corresponding cases available in the literature.