Nonlocal DQM for Large Amplitude Vibration of Annular Boron Nitride Sheets on Nonlinear Elastic Medium

Subject Areas : Engineering

A Ghorbanpour Arani ¹ , R Kolahchi ² , S.M.R Allahyari ³

1 - Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan,
2 - Faculty of Mechanical Engineering, University of Kashan
3 - Faculty of Mechanical Engineering, University of Kashan, Kashan

Received: 2014-06-02 Accepted : 2014-08-04 Published : 2014-12-30

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[1] Salvetat J.P., Bonard J.M., Thomson N.H., Kulik A.J., Forro L., Benoit W., Zuppiroli L., 1999, Mechanical properties of carbon nanotubes, Applied Physics A 69: 255-260.‏
[2] Baughman R.H., Zakhidov A.A., De Heer W.A., 2002, Carbon nanotubes--the route toward applications, Science 297:787-792.‏
[3] Ma R., Golberg D., Bando Y., Sasaki T., 2004, Syntheses and properties of B–C–N and BN nanostructures, The Royal Society 362: 2161-2186.
[4] Li Y., Dorozhkin P.S., Bando Y., Golberg D., 2005, Controllable modification of SiC nanowires encapsulated in BN nanotubes, Advanced Materials 17:545-549.
[5] Behfar K., Naghdabadi R., 2005, Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium, Composite Science and Technology 65:1159-1164.
[6] Liew K.M., He X.Q., Kitipornchai S., 2006, Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix, Acta Materiala 54:4229-4236.
[7] Pradhan S.C., Phadikar J.K., 2009, Nonlocal elasticity theory for vibration of nanoplates, Journal of Sound and Vibration 325:206-223.
[8] Shen L., Shen H.S., Zhang C.L., 2008, Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments, Computational Material Science 48:680-685.
[9] Ansari R., Rajabiehfard R., Arash B., 2010, Nonlocal finite element model for vibrations of embedded multi-layered graphene sheets, Computational Material Science 49:831-838.
[10] Pradhan S.C., Kumar A., 2010, Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method, Computational Material Science 50:239-245.
[11] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., Mozdianfard M.R., Noudeh Farahani S.M., 2012, Elastic foundation effect on nonlinear thermo-vibration of embedded double-layered orthotropic graphene sheets using differential quadrature method, Proceeding of IMech Part C: Journal of Mechanical Engineering Science 227:1-8.
[12] Mohammadi M., Ghayour M., Farajpour A., 2012, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composite Part B: Engineering 45:32-42.
[13] Salehi-Khojin A., Jalili N., 2008, Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings, Composite Science and Technology 68:1489-1501.
[14] Khodami Maraghi Z., Ghorbanpour Arani A., Kolahchi R., Amir S., Bagheri M.R., 2013, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites Part B: Engineering 45:423-432.
[15] Ghorbanpour Arani A., Kolahchi R., Vossough H., 2012, Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory, Physica B 407: 4281-4286.
[16] Ghorbanpour Arani A., Kolahchi R., Khoddami Maraghi Z., 2013, Nonlinear vibration and instability of embedded double-walled boron nitride nanotubes based on nonlocal cylindrical shell theory, Applied Mathematical Modeling 37: 7685-7707.
[17] Ke L.L., Wang Y.S., Wang Z.D., 2012, Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory, Composite Structures 94:2038-2047.
[18] Ghorbanpour Arani A., Kolahchi R., Vossough H., 2012, Buckling analysis and smart control of SLGS using elastically coupled PVDF nanoplate based on the nonlocal Mindlin plate theory, Physica B 407:4458-4465.
[19] Salajeghe S., Khadem S.E., Rasekh M., 2012, Nonlinear analysis of thermoelastic damping in axisymmetric vibration of micro circular thin-plate resonators, Applied Mathematical Modeling 36:5991-6000.
[20] Malekzadeh P., Afsari A., Zahedinejad P., Bahadori R., 2010, Three-dimensional layerwise-finite element free vibration analysis of thick laminated annular plates on elastic foundation, Applied Mathematical Modeling 34:776-790.
[21] Sepahi O., Forouzan M.R., Malekzadeh P., 2010, Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM, Composite Structures 92: 2369-2378.