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Axisymmetric Vibration in a Submerged Piezoelectric Rod Coated with Thin Film

  • Rajendran SelvamaniEmail author
  • Farzad Ebrahimi
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

This paper is concerned with the axisymmetric elastic waves in a transversely isotropic submerged piezoelectric rod coated with thin film using a constitutive form of linear theory of elasticity and piezoelectric equations. The equations of motion along radial and axial directions are decoupled by using potential functions. The surface area of the rod is coated by a perfectly conducting material, and no slip boundary condition is employed along the solid-fluid interactions. The dispersion equation which contains the longitudinal and flexural modes is derived and is studied numerically. To observe the variations of mechanical and electric displacement in the coated piezoelectric rod, the authors compute the numerical values of the field variables for the ceramic PZT − 4. The effects of fluid and coating environment on the variation of field variables are analyzed and presented graphically. This type of study is important in the modeling of underwater sensors for the navigation applications.

Keywords

Axisymmetric waves in piezoelectric rod/glass fiber Forced vibration Bessel function Actuators/sensors Thin film 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsKarunya UniversityCoimbatoreIndia
  2. 2.Department of Mechanical Engineering, Faculty of EngineeringImam Khomeini International UniversityQazvinIran

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