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  1. Journal of the Brazilian Society of Mechanical Sciences and Engineering
  2. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
  3. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 12, December 2017
  4. A simplified-nonlocal model for transverse vibration of nanotubes acted upon by a moving nanoparticle
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Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 40
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 12, December 2017
Analytical approach on leaflet flutter on biological prosthetic heart valves
Sound attenuation in air–water media with rough bubbly interface at low frequencies considering bubble resonance dispersion
Nonlinear vibration of AFM microcantilevers with sidewall probe
Nonlinear vibration analysis of a Timoshenko beam with concentrated mass using variational iteration method
Vibration performance evaluation of planar flexible multibody systems with joint clearance
Dynamic modeling and analysis of spur gears considering friction–vibration interactions
An improved Hilbert vibration decomposition method for analysis of rotor fault signals
A simplified-nonlocal model for transverse vibration of nanotubes acted upon by a moving nanoparticle
Simulation analysis of electromechanical performance of crawler of mobile crushing station
Study of micropolar fluid flow inside a magnetohydrodynamic micropump
Cattaneo–Christov double-diffusion model for flow of Jeffrey fluid
Numerical investigation on the orifice cavitating water jet considering the fluid viscosity’s effects on bubbles’ growth and collapse
Large eddy simulation of thermal turbulent mixing and reduction of temperature fluctuations with swirl in T-junction
Improving efficiency of SPH method for simulation of free surface flows using a new treatment of Neumann boundary conditions
Non-Newtonian fluid flow induced by pressure gradient and time-periodic electroosmosis in a microtube
Effects of entropy generation on Powell Eyring fluid in a porous channel
Numerical analysis of MHD three-dimensional Carreau nanoliquid flow over bidirectionally moving surface
A method based on spindle motor current harmonic distortion measurements for tool wear monitoring
A novel approach for the rolling force calculation of cold rolled sheet
Modelling and multiobjective optimization for productivity improvement in high speed milling of Ti–6Al–4V using RSM and GA
Estimation of surface roughness using cutting parameters, force, sound, and vibration in turning of Inconel 718
Process optimization for maximizing bushing length in thermal drilling using integrated ANN-SA approach
Investigation of microstructure and mechanical properties in asymmetrically rolled copper wire
Modelling and application of response surface optimization to optimize cutting parameters for minimizing cutting forces and surface roughness in high-speed, ball-end milling of Al2014-T6
Measurement and prediction of cutting temperatures during dry milling: review and discussions
Formation mechanism study on tooth surface of two gear finishing processes: combined theoretical and experimental approaches
Non-circular gear continuous generating machining interpolation method and experimental research
Theoretical and experimental investigation of hydro-mechanical deep drawing of hemi-prolate spheroid cups
Prediction of the convective heat transfer coefficient of cutting fluid in helical drills
Assembling of thick-section HSLA steel with one seam per layer multi-pass PC-GMA welding producing superior quality
An improved inverse method by envelope fitting for prediction of contact stresses in strip rolling
Correction to: Study on the roller enveloping end face internal engagement worm gear
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 11, November 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 10, October 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 9, September 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 8, August 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 7, July 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 6, June 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 5, May 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 4, April 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 3, March 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 2, February 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 1, January 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 35

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A simplified-nonlocal model for transverse vibration of nanotubes acted upon by a moving nanoparticle

Content Provider SpringerLink
Author Nikkhoo, Ali Kiani, Keivan Zolfaghari, Saber
Copyright Year 2017
Abstract This study provides a simplified solution for estimating the dynamic response of a single-walled carbon nanotube when excited by a moving nanoparticle. At first, the strong form of the equation of motion for a nonlocal Rayleigh nanotube is deduced, and the inertia effect of a moving nanoparticle along a nanobeam is then considered. For obtaining a weak form of the above nonlocal model, we use the Galerkin method, where the test functions are a set of orthogonal polynomials generated from a polynomial satisfying given boundary conditions. This process leads to a second-order differential equation which for a moving load the matrix coefficients are time dependent. In the state-space formulation, the forced response depends upon a transition matrix that can be locally approximated by the matrix exponential by assuming that the coefficients are locally constant. The normalized frequencies for a moving force are calculated and compared to those obtained in previous studies, and good agreement between them was observed. After acquiring the dynamic responses of a nanotube for a wide range of velocities and weights of moving nanoparticles, as well as for the nonlocal effects on a nanobeam, a nonlinear regression analysis is adapted to estimate the response of a nanobeam according to an analogous classical Rayleigh beam. These equivalent results in three multipliers ( $$\alpha$$ , $$\beta$$ , and $$\gamma$$ ) are functions of kinetic parameters and nonlocal effects. Due to the normalization of the variables, these multipliers can be used for various types of beam-like structures in both the nano- and macro-domains. The accuracy of these coefficients is evaluated using the results gained by the analytical solution. This paper offers a remedy for a time-consuming process by means of some simple substitutions.
Starting Page 4929
Ending Page 4941
Page Count 13
File Format PDF
ISSN 16785878
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume Number 39
Issue Number 12
e-ISSN 18063691
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2017-08-30
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Nonlocal Rayleigh beam theory Moving load Moving mass Single-walled carbon nanotube Mechanical Engineering Conversion coefficient
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering Automotive Engineering Mechanical Engineering Aerospace Engineering
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