Dynamic analysis of embedded PVDF nanoplate subjected to a moving nanoparticle on an arbitrary elliptical path

详细信息    查看全文

• 作者：A. Ghorbanpour Arani ; R. Kolahchi…
• 关键词：Vibration response ; Dynamic analysis ; Moving nanoparticle ; Elliptical path ; Galerkin method
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：37
• 期：3
• 页码：973-986
• 全文大小：2,213 KB
• 参考文献：1.Mosallaie Barzoki AA, Ghorbanpour Arani A, Kolahchi R, Mozdianfard MR (2012) Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core. Appl Math Model 36:2983-995View Article MATH MathSciNet
  2.Ghorbanpour Arani A, Kolahchi R, Mosallaie Barzoki AA, Loghman A (2012) Electro-thermo-mechanical behaviors of FGPM spheres using analytical method and ANSYS software. Appl Math Model 36:139-57View Article MATH MathSciNet
  3.Aksencer T, Aydogdu M (2011) Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory. Phys E 43:954-59View Article
  4.Pradhan SC, Phadikar JK (2009) Nonlocal elasticity theory for vibration of nanoplates. J Sound Vib 325:206-23View Article
  5.Assadi A (2013) Size dependent forced vibration of nanoplates with consideration of surface effects. Appl Math Model 37:3575-588View Article MathSciNet
  6.Malekzadeh P, Setoodeh AR, Alibeygi Beni A (2011) Small scale effect on the free vibration of orthotropic arbitrary straight sided quadrilateral nanoplates. Compos Struct 93:1631-639View Article
  7.Shen LE, Shen HSH, Zhang CL (2010) Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments. Comput Mater Sci 48:680-85View Article
  8.Pradhan SC, Kumar A (2010) Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method. Comput Mater Sci 50:239-45View Article
  9.Murmu T, McCarthy MA, Adhikari S (2013) In-plane magnetic field affected transverse vibration of embedded single layer graphene sheets using equivalent nonlocal elasticity approach. Compos Struct 96:57-3View Article
  10.Ghorbanpour Arani A, Shiravand A, Rahi M, Kolahchi R (2012) Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation. Phys B 407:4123-131View Article
  11.Pouresmaeeli S, Fazelzadeh SA, Ghavanloo E (2012) Exact solution for nonlocal vibration of double orthotropic nanoplates embedded in elastic medium. Compos Part B 43:3384-390View Article
  12.Behfar K, Naghdabadi R (2005) Nanoscale vibrational analysis of a multi layered graphene sheet embedded in an elastic medium. Compos Sci Technol 65:1159-164View Article
  13.Wang CW, Murmu T, Adhikari S (2011) Mechanisms of nonlocal effect on the vibration of nanoplates. Appl Phys Lett 98:153101:1-53101:3
  14.Jomehzadeh E, Saidi AR (2011) A study on large amplitude vibration of multilayered graphene sheets. Comput Mater Sci 50:1043-051View Article
  15.Ansari R, Rajabiehfard R, Arash B (2010) Nonlocal finite element model for vibrations of embedded multi layered graphene sheets. Comput Mater Sci 49:831-38View Article
  16.Ansari R, Arash B, Rouhi H (2011) Vibration characteristics of embedded multi layered graphene sheets with different boundary conditions via nonlocal elasticity. Compos Struct 93:2419-429View Article
  17.Shen ZB, Tang HL, Li DK, Tang GJ (2012) Vibration of single layered graphene sheet based nanomechanical sensor via nonlocal Kirchhoff plate theory. Comput Mater Sci 61:200-05View Article
  18.Ghorbanpour Arani A, Kolahchi R, Mosallaie Barzoki AA, Mozdianfard MR, Noudeh Farahani SM (2012) Elastic foundation effect on nonlinear thermo vibration of embedded double layered orthotropic graphene sheets using differential quadrature method. Proc IMechE Part C: J Mech Eng Sci 227:862-79View Article
  19.Kiani K (2011) Small scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory. J Sound Vib 330:4896-914View Article
  20.Kiani K (2011) Nonlocal continuum based modeling of a nanoplate subjected to a moving nanoparticle. Phys E 44:229-48View Article
  21.Han JH, Lee I (1998) Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory. Compos Part B Eng 29:621-32View Article
  22.Pietrzakowski M (2008) Piezoelectric control of composite plate vibration: effect on electric potential distribution. Compos Struct 86:948-54View Article
  23.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. Phys B 407:4458-465View Article
  24.Haghshenas A, Ghorbanpour Arani A (2014) Nonlocal vibration of piezoelectric polymeric nanoplate carrying nanoparticle via mindlin plate theory. Proc IMechE Part C: J Mech Eng Sci 228:907-20
  25.Aghababaei R, Reddy JN (2009) Nonlocal third order shear deformation plate theory with application to bending and vibration of plates. J Sound Vib 326:277-89View Article
  26.Ke LL, Wang YSH, Wang ZHD (2012) Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory. Compos Struct 94:2038-047View Article
  27.Reddy JN (2003) Mechanics of laminated compo
• 作者单位：A. Ghorbanpour Arani (1) (2)
  R. Kolahchi (1)
  H. Gharbi Afshar (1)
  
  1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
  2. Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

In the present study, dynamic qualitative analysis and vibration response of an embedded poly-vinylidene fluoride (PVDF) nanoplate under a moving nanoparticle on an arbitrary elliptical path are investigated. The Coulomb friction model is applied to calculate the work done by the moving nanoparticle. The surrounding elastic medium is simulated by Pasternak foundation. The PVDF nanoplate is subjected to an applied voltage in the thickness direction which operates in control of nanoplate vibration. Based on the classical plate and Eringen’s nonlocal theories, energy method and Hamilton’s principle, the coupled motion equations are derived. Based on Galerkin method, the closed-form solutions for the frequency and dynamic deflection of the nanoplate are calculated. A detailed parametric study is conducted to elucidate the influences of the nonlocal parameter, elastic medium, nanoplate length, mode number, external electric voltage, angular velocity, mass and location of moving nanoparticle on the vibration smart control of the PVDF nanoplate. The results depict that the imposed external voltage, angular velocity, mass and location of moving nanoparticle are effective controlling parameters for vibration smart control of the PVDF nanoplate. Obtained results are useful for the design of smart nanoplates as nano-electro-mechanical mass sensors.