G. H. Rahimi, M. Arefi, M. J. Khoshgoftar. Application and Analysis of a Functionally Graded Piezoelectrical Rotating Cylinder as a Mechanical Sensor Subjected to Pressure and Thermal Loads[J]. Applied Mathematics and Mechanics, 2011, 32(8): 934-945. doi: 10.3879/j.issn.1000-0887.2011.08.004
 Citation: G. H. Rahimi, M. Arefi, M. J. Khoshgoftar. Application and Analysis of a Functionally Graded Piezoelectrical Rotating Cylinder as a Mechanical Sensor Subjected to Pressure and Thermal Loads[J]. Applied Mathematics and Mechanics, 2011, 32(8): 934-945.

# Application and Analysis of a Functionally Graded Piezoelectrical Rotating Cylinder as a Mechanical Sensor Subjected to Pressure and Thermal Loads

##### doi: 10.3879/j.issn.1000-0887.2011.08.004
• Rev Recd Date: 2011-05-09
• Publish Date: 2011-08-15
• The exact thermoelastic analysis of a functionally graded piezoelectrical (FGP) rotating cylinder was investigated analytically.The cylinder was subjected to a combination of electrical,thermal and mechanical loads simultaneously.This structure was a simplified model of a rotational sensor or actuator.Basic governing differential equation of the system had been obtained using the energy method.A novel term which was named as additional energy was introduced in order to exact evaluation of energy functional.The solution of the governing differential equation was presented for two types of boundary conditions including free rotating cylinder and rotating cylinder exposed to inner pressure.The effect of angular velocity was 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 pressure and temperature.The obtained results indicate that the electrical potential is proportional to angular velocity.
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