Size-Dependent Forced Vibration Analysis of Three Nonlocal Strain Gradient Beam Models with Surface Effects Subjected to Moving Harmonic Loads
Subject Areas : Mechanical EngineeringK Rajabi 1 , Sh Hosseini Hashemi 2 , A.R Nezamabadi 3
1 - Department of Mechanical Engineering, College of Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
2 - School of Mechanical Engineering , Iran University of Science and Technology, Tehran, Iran
3 - Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran
Keywords:
Abstract :
[1] Kiani K., 2010, Longitudinal an7d transverse vibration of a single-walled carbon nanotube subjected to a moving nanoparticle accounting for both nonlocal and inertial effects, Physica E: Low-dimensional Systems and Nanostructures 42(9): 2391-2401.
[2] Pijper D., 2005, Acceleration of a nanomotor: electronic control of the rotary speed of a light-driven molecular rotor, Journal of the American Chemical Society 127(50): 17612-17613.
[3] Shirai Y., 2005, Directional control in thermally driven single-molecule nanocars, Nano Letters 5(11): 2330-2334.
[4] Shirai Y., 2006, Surface-rolling molecules, Journal of the American Chemical Society 128(14): 4854-4864.
[5] Shirai Y., 2006, Recent progress on nanovehicles, Chemical Society Reviews 35(11): 1043-1055.
[6] Gross L., 2005, Trapping and moving metal atoms with a six-leg molecule, Nature Materials 4(12): 892-895.
[7] Kiani K., Mehri B., 2010, Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories, Journal of Sound and Vibration 329(11): 2241-2264.
[8] Kiani K., 2010, Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle, Part I: Theoretical formulations, Acta Mechanica 216(1-4): 165-195.
[9] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle, Part I: Theoretical formulations, Physica E: Low-dimensional Systems and Nanostructures 44(1): 229-248.
[10] Kiani K., Wang Q., 2012, On the interaction of a single-walled carbon nanotube with a moving nanoparticle using nonlocal Rayleigh, Timoshenko, and higher-order beam theories, European Journal of Mechanics - A/Solids 31(1): 179-202.
[11] Kiani K., 2010, Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle, Part II: Parametric study, Acta Mechanica 216(1-4): 197-206.
[12] Arani A.G., Roudbari M., Amir S., 2012, Nonlocal vibration of SWBNNT embedded in bundle of CNTs under a moving nanoparticle, Physica B: Condensed Matter 407(17): 3646-3653.
[13] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle, Part II: Parametric studies, Physica E: Low-dimensional Systems and Nanostructures 44(1): 249-269.
[14] Picu C., 2003, A nonlocal formulation of rubber elasticity, International Journal for Multiscale Computational Engineering 1(1): 23-32.
[15] Şimşek M., 2010, Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory, Physica E: Low-dimensional Systems and Nanostructures 43(1): 182-191.
[16] Bazant Z.P., Jirásek M., 2002, Nonlocal integral formulations of plasticity and damage: survey of progress, Journal of Engineering Mechanics 128(11): 1119-1149.
[17] Jirasek M., 2004, Nonlocal theories in continuum mechanics, Acta Polytechnica 44(5-6): 16-34.
[18] Yi D., Wang T.C., Xiao Z., 2010, Strain gradient theory based on a new framework of non-local model, Acta Mechanica 212(1-2): 51-67.
[19] Akgöz B., Civalek Ö., 2011, Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams, International Journal of Engineering Science 49(11): 1268-1280.
[20] Akgöz B., Civalek Ö., 2012, Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory, Archive of Applied Mechanics 82(3): 423-443.
[21] Wu J., Li X., Cao W., 2013, Flexural waves in multi-walled carbon nanotubes using gradient elasticity beam theory, Computational Materials Science 67: 188-195.
[22] Peddieson J., Buchanan G.R., McNitt R.P., 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 41(3): 305-312.
[23] Lu P., 2006, Dynamic properties of flexural beams using a nonlocal elasticity model, Journal of Applied Physics 99(7): 073510.
[24] Reddy J., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45(2): 288-307.
[25] Murmu T., Pradhan S., 2009, Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory, Computational Materials Science 46(4): 854-859.
[26] Askes H., Aifantis E.C., 2011, Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results, International Journal of Solids and Structures 48(13): 1962-1990.
[27] Tian Y., 2013, Ultrahard nanotwinned cubic boron nitride, Nature 493(7432): 385-388.
[28] Li X., 2010, Dislocation nucleation governed softening and maximum strength in nano-twinned metals, Nature 464(7290): 877-880.
[29] Lim C., Zhang G., Reddy J., 2015, A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation, Journal of the Mechanics and Physics of Solids 78: 298-313.
[30] Ebrahimi F., Barati M.R., 2016, Flexural wave propagation analysis of embedded S-FGM nanobeams under longitudinal magnetic field based on nonlocal strain gradient theory, Arabian Journal for Science and Engineering 2016: 1-12.
[31] Farajpour A., 2016, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica 2016: 1-19.
[32] Hosseini S., Rahmani O., 2016, Exact solution for axial and transverse dynamic response of functionally graded nanobeam under moving constant load based on nonlocal elasticity theory, Meccanica 2016: 1-17.
[33] Li L., Hu Y., 2016, Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory, Computational Materials Science 112: 282-288.
[34] Li L., Hu Y., Li X., 2016, Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory, International Journal of Mechanical Sciences 115: 135-144.
[35] Li L., 2016, Size-dependent effects on critical flow velocity of fluid-conveying microtubes via nonlocal strain gradient theory, Microfluidics and Nanofluidics 20(5): 1-12.
[36] Li L., Li X., Hu Y., 2016, Free vibration analysis of nonlocal strain gradient beams made of functionally graded material, International Journal of Engineering Science 102: 77-92.
[37] Şimşek M., 2016, Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, International Journal of Engineering Science 105: 12-27.
[38] Şimşek M., 2016, Axial vibration analysis of a nanorod embedded in elastic medium using nonlocal strain gradient theory, Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi 31(1): 213-221.
[39] Tang Y., Liu Y., Zhao D., 2016, Viscoelastic wave propagation in the viscoelastic single walled carbon nanotubes based on nonlocal strain gradient theory, Physica E: Low-dimensional Systems and Nanostructures 84: 202-208.
[40] Fernandes R., 2017, Nonlinear size-dependent longitudinal vibration of carbon nanotubes embedded in an elastic medium, Physica E: Low-dimensional Systems and Nanostructures 88: 18-25.
[41] Shen Y., Chen Y., Li L., 2016, Torsion of a functionally graded material, International Journal of Engineering Science 109: 14-28.
[42] Guo S., 2016, Torsional vibration of carbon nanotube with axial velocity and velocity gradient effect, International Journal of Mechanical Sciences 119: 88-96.
[43] Li X., 2017, Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory, Composite Structures 165: 250-265.
[44] Li L., Hu Y., 2017, Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects, International Journal of Mechanical Sciences 120: 159-170.
[45] Ebrahimi F., Barati M.R., Dabbagh A., 2016, A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates, International Journal of Engineering Science 107: 169-182.
[46] Wang G.-F., Feng X.-Q., 2009, Surface effects on buckling of nanowires under uniaxial compression, Applied Physics Letters 94(14): 141913.
[47] Hosseini S.A.H., Rahmani O., 2016, Surface effects on buckling of double nanobeam system based on nonlocal timoshenko model, International Journal of Structural Stability and Dynamics 16(10): 1550077.
[48] He J., Lilley C.M., 2008, Surface effect on the elastic behavior of static bending nanowires, Nano Letters 8(7): 1798-1802.
[49] Farshi B., Assadi A., Alinia-ziazi A., 2010, Frequency analysis of nanotubes with consideration of surface effects, Applied Physics Letters 96(9): 093105.
[50] Abbasion S., 2009, Free vibration of microscaled Timoshenko beams, Applied Physics Letters 95(14): 143122.
[51] Ansari R., 2014, Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory, European Journal of Mechanics - A/Solids 45: 143-152.
[52] Lei X.-w., 2012, Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model, Composites Part B: Engineering 43(1): 64-69.
[53] Lee H.-L., Chang W.-J., 2010, Surface effects on frequency analysis of nanotubes using nonlocal Timoshenko beam theory, Journal of Applied Physics 108(9): 093503.
[54] Wang G.-F., Feng X.-Q., 2009, Timoshenko beam model for buckling and vibration of nanowires with surface effects, Journal of Physics D: Applied Physics 42(15): 155411.
[55] Arash B., Wang Q., 2012, A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, Computational Materials Science 51(1): 303-313.
[56] Wang Q., Wang C.M., 2007, The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes, Nanotechnology 18(7): 075702.
[57] Younesian D., Nankali A., Motieyan E., 2011, Optimal nonlinear energy sinks in vibration mitigation of the beams traversed by successive moving loads, Journal of Solid Mechanics 3(4): 323-331.
[58] Rajabi K., Kargarnovin M., Gharini M., 2013, Dynamic analysis of a functionally graded simply supported Euler–Bernoulli beam subjected to a moving oscillator, Acta Mechanica 2013: 1-22.
[59] Pang M., Zhang Y.Q., Chen W.Q., 2015, Transverse wave propagation in viscoelastic single-walled carbon nanotubes with small scale and surface effects, Journal of Applied Physics 117(2): 024305.
[60] Naderi A., Saidi A., 2013, Modified nonlocal mindlin plate theory for buckling analysis of nanoplates, Journal of Nanomechanics and Micromechanics 4(4): A4013015.
[61] Shenoy V.B., 2005, Atomistic calculations of elastic properties of metallic fcc crystal surfaces, Physical Review B 71(9): 094104.