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Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers

机译：集成表面压电层的功能梯度梁的热弹性分析

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摘要

This paper presents analytical solution for functionally graded material (FGM) beams integrated with piezoelectric actuator and sensor under an applied electric field and thermo-mechanical load. In FGM host properties is assumed to vary exponentially in thickness direction and the Poisson's ratio is held constant. The hybrid beam is in a state of plane stress and the piezoelectric is composed of orthotropic materials. The beam is simply supported with the bottom surface traction free and zero temperature. By using of state-space method in thickness direction and Fourier series in longitudinal direction, the solution can be made. To verify the accuracy of the present formulation, numerical results for the simple case is compared with results obtained in the published literature. Finally, effects of FGM index, electromechanical coupling, thickness ratio and thermo-mechanical surface boundary condition on the bending behaviour of beam are investigated.
机译：本文介绍了在电场和热机械载荷作用下，集成有压电致动器和传感器的功能梯度材料（FGM）梁的分析解决方案。在FGM中，假定主机属性沿厚度方向呈指数变化，并且泊松比保持恒定。混合梁处于平面应力状态，压电体由正交各向异性材料组成。梁的自由支撑和底部表面自由零温度得到了简单的支持。通过使用厚度方向上的状态空间方法和纵向方向上的傅立叶级数，可以得出解决方案。为了验证本配方的准确性，将简单情况下的数值结果与已发表文献中获得的结果进行比较。最后，研究了FGM指数，机电耦合，厚度比和热机械表面边界条件对梁弯曲性能的影响。

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