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Abstract
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A hollow circular cylinder made of exponentially graded piezoelectric material, such
as PZT_4, is considered. Loading is composed of internal and external pressures,
a distributed temperature field due to steady state heat conduction with
convective boundary condition, an inertia body force due to rotation with
constant angular velocity and a constant electric potential difference between its
inner and outer surfaces. The material properties except Poisson’s ratio and
thermal conduction coefficient are assumed to be exponentially distributed
along radius. The governing equation in polarized form is shown to reduce to
a second-order ordinary differential equation with variable coefficients for
the radial displacement. In this article, a closed form solution is presented
for this ODE by employing hypergeometric functions such as Whittaker’s
and
functions. Also we have considered four different sets of boundary conditions. The
electrothermomechanical induced stresses and the electric potential distributions are
investigated for the piezoceramic PZT_4 cylinder. It is concluded that the inhomogeneity
exponent
plays a substantial role in radial and circumferential stress distributions. Therefore,
the results of this investigation can contribute to the design of EGPM rotating
thick-walled circular cylinders.
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Keywords
EGPM, rotating cylinder, hypergeometric function,
electrothermomechanical stress, electric potential
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Milestones
Received: 2 July 2010
Revised: 22 September 2010
Accepted: 27 September 2010
Published: 11 December 2011
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