Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (3): 289-302.doi: https://doi.org/10.1007/s10483-016-2039-6

• 论文 • 上一篇    下一篇

Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage

M. AREFI   

  1. Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
  • 收稿日期:2015-06-16 修回日期:2015-08-29 出版日期:2016-03-01 发布日期:2016-03-01
  • 通讯作者: M. AREFI E-mail:arefi@kashanu.ac.ir
  • 基金资助:

    Project supported by the University of Kashan (No. 463865/13) and the Iranian Nanotechnology Development Committee

Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage

M. AREFI   

  1. Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
  • Received:2015-06-16 Revised:2015-08-29 Online:2016-03-01 Published:2016-03-01
  • Contact: M. AREFI E-mail:arefi@kashanu.ac.ir

摘要:

A non-local solution for a functionally graded piezoelectric nano-rod is presented by accounting the surface effect. This solution is used to evaluate the characteristics of the wave propagation in the rod structure. The model is loaded under a two-dimensional (2D) electric potential and an initially applied voltage at the top of the rod. The mechanical and electrical properties are assumed to be variable along the thickness direction of the rod according to the power law. The Hamilton principle is used to derive the governing differential equations of the electromechanical system. The effects of some important parameters such as the applied voltage and gradation of the material properties on the wave characteristics of the rod are studied.

关键词: non-local elasticity, surface effect, Love rod model, nonhomogeneous index, voltage, wave propagation

Abstract:

A non-local solution for a functionally graded piezoelectric nano-rod is presented by accounting the surface effect. This solution is used to evaluate the characteristics of the wave propagation in the rod structure. The model is loaded under a two-dimensional (2D) electric potential and an initially applied voltage at the top of the rod. The mechanical and electrical properties are assumed to be variable along the thickness direction of the rod according to the power law. The Hamilton principle is used to derive the governing differential equations of the electromechanical system. The effects of some important parameters such as the applied voltage and gradation of the material properties on the wave characteristics of the rod are studied.

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