Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

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• 作者：J. G. Yu (1) (2)
  Ch. Zhang (2)
  J. E. Lefebvre (3) (4) (5)
  
  1. School of Mechanical and Power Engineering ; Henan Polytechnic University ; Jiaozuo ; 454003 ; People鈥檚 Republic of China
  2. Department of Civil Engineering ; University of Siegen ; 57068 ; Siegen ; Germany
  3. Univ Lille Nord de France ; 59000 ; Lille ; France
  4. UVHC ; IEMN-DOAE ; 59313 ; Valenciennes Cedex 9 ; France
  5. CNRS ; UMR 8520 ; 59650 ; Villeneuve d鈥橝scq ; France
  
• 刊名：Acta Mechanica
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：226
• 期：3
• 页码：597-609
• 全文大小：1,269 KB
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• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

For the purpose of design and optimization of functionally graded piezoelectric material (FGPM) transducers, wave propagation in FGPM structures has received much attention in the past twenty years. But previous research efforts have been focused essentially on semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes a double orthogonal polynomial series approach to solving the wave propagation problem in a two-dimensional FGPM structure, namely an FGPM ring with a rectangular cross-section. By numerical comparison with the available reference results for a purely elastic homogeneous rectangular rod, the validity of the extended polynomial approach is illustrated. The dispersion curves and the electric potential distributions of various FGPM rectangular rings with different material gradient directions, different polarization directions, different radius to thickness ratios, and different width to thickness ratios are calculated to reveal the guided wave characteristics.