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Vibration of nano beam Induced by Ramp Type Heating

World Journal of nano Science and Engineering 2011年第2期1卷 37-44页

作者： Hamdy M. Youssef Khaled A. Elsibai 不详

The non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, became the most significant effects in the nano-scale beam. In the present study, a generalized solution for the generalized thermoelastic vibration of a bounded nano-beam resonator induced by ramp type of heating is developed and the solutions take into account the above two effects. The Laplace transforms and direct method are used to determine the lateral vibration, the temperature, the displacement, the stress and the energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied with some comparisons.

关键词： Thermoelasticity nano-beam Ramp-Type Heating Non-Fourier Heat Conduction

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Bending of small-scale Timoshenko beams based on the integral/differential nonlocal-micropolar elasticity theory: a finite element approach

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Applied Mathematics and Mechanics(English Edition) 2019年第6期40卷 767-782页

作者： M. FARAJI-OSKOUIE A. NOROUZZADEH R. ANSARI H. ROUHI Department of Mechanical Engineering University of GuilanRasht 3756Iran Department of Engineering Science Faculty of Technology and EngineeringUniversity of GuilanRudsar-Vajargah 44891-63157Iran

A novel size-dependent model is developed herein to study the bending behavior of beam-type micro/nano-structures considering combined effects of nonlocality and micro-rotational degrees of freedom. To accomplish this aim, the micropolar theory is combined with the nonlocal elasticity. To consider the nonlocality, both integral (original) and differential formulations of Eringen’s nonlocal theory are considered. The beams are considered to be Timoshenko-type, and the governing equations are derived in the variational form through Hamilton’s principle. The relations are written in an appropriate matrix-vector representation that can be readily utilized in numerical approaches. A finite element (FE) approach is also proposed for the solution procedure. Parametric studies are conducted to show the simultaneous nonlocal and micropolar effects on the bending response of small-scale beams under different boundary conditions.

关键词： integral model of nonlocal elasticity differential model of nonlocal elasticity micropolar theory finite element (FE) analysis Timoshenko nano-beam

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Frequency response of a new kind of silicon nanoelectromechanical systems resonators

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Journal of Southeast University(English Edition) 2012年第3期28卷 310-314页

作者：于虹袁为民刘春胜岳东旭吴士杰顾勇陈志远黄庆安东南大学MEMS教育部重点实验室南京210096

Diffraction effects will bring about more difficulties in actuating resonators,which are electrostatically actuated ones with sub-micrometer or nanometer dimensions,and in detecting the frequency of the resonator by optical *** avoid the effects of diffraction,a new type of nanoelectromechanical systems（NEMS） resonators is fabricated and actuated to *** a comparison,a doubly clamped silicon beam is also fabricated and *** smallest width and thickness of the resonators are 180 and 200 nm,*** mechanical oscillation responses of these two kinds of resonators are studied *** show that the resonant frequencies are from 6.8 to 20 MHz,much lower than the theoretical *** on the simulation,it is found that over-etching is one of the important factors which results in lower frequencies than the theoretical *** is also found that the difference between resonance frequencies of two types of resonators decreases with the increase in beam *** quality factor is improved greatly by lowering the pressure in the sample chamber at room temperature.

关键词： nanoelectromechanical system resonant frequency over-etching nano-beam

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