Application and Analysis of a Functionally Graded Piezoelectrical Rotating Cylinder as a Mechanical Sensor Subjected to Pressure and Thermal Loads
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摘要: 对旋转的功能梯度压电(FGP)圆柱体,进行了精确的热弹性分析.圆柱体同时承受电、热和力学荷载的作用,这是一个旋转传感器或者调节器的简化模型.应用能量法得到系统的控制微分方程.为了正确地评估能量函数,引进了一个被称为“附加能量”的新项.在两种边界条件下:自由旋转的圆柱体和受内压作用的圆柱体,求解所得到的控制方程.研究角速度对各个物理量沿半径分布的影响.所研究的结构也可以认为是,在压力及热荷载作用下,测量圆柱体角速度的一个传感器.结果表明,电势与角速度成正比例关系.Abstract: 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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Key words:
- functionally graded piezoelectric materials /
- sensor /
- rotating cylinder /
- angular velocity /
- pressure /
- temperature
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