Abstract
The exact thermoelastic analysis of a functionally graded piezoelectrical (FGP) rotating cylinder is investigated analytically. The cylinder is subjected to a combination of electrical, thermal, and mechanical loads simultaneously. The structure is a simplified model of a rotational sensor or actuator. The basic governing differential equation of the system is obtained by using the energy method. A novel term, named as the additional energy, is introduced to exact the evaluation of the energy functional. The solution to the governing differential equation is presented for two types of boundary conditions including free rotating and rotating cylinders exposed to the inner pressure. The effect of the angular velocity is investigated on the radial distribution of various components. The mentioned structure can be considered as a sensor for measuring the angular velocity of the cylinder subjected to the pressure and temperature. The obtained results indicate that the electrical potential is proportional to the angular velocity.
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Abbreviations
- C :
-
elastic stiffness
- D :
-
electrical displacement
- e :
-
piezoelectric coefficient
- k :
-
heat conductivity coefficient
- p :
-
pyroelectric coefficient
- P i :
-
inner pressure
- r :
-
radius
- E r :
-
electrical field
- T :
-
temperature
- u :
-
displacement
- W b :
-
body force energy
- Q T :
-
additional energy
- J :
-
Jacobin
- α :
-
heat expansion coefficient
- φ :
-
electrical potential
- η :
-
dielectric coefficient
- σ :
-
stress
- ɛ :
-
strain
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Rahimi, G.H., Arefi, M. & Khoshgoftar, M.J. Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads. Appl. Math. Mech.-Engl. Ed. 32, 997–1008 (2011). https://doi.org/10.1007/s10483-011-1475-6
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DOI: https://doi.org/10.1007/s10483-011-1475-6
Key words
- functionally graded piezoelectric (FGP) material
- sensor
- rotating cylinder
- angular velocity
- pressure
- temperature