论文部分内容阅读
进行了电场及热机械荷载作用下带压电致动器和传感器的功能梯度梁的分析研究。假定功能梯度材料的主属性沿厚度方向呈指数变化,而泊松比不变。组合梁受平面应力作用,压电层由正交异性材料组成。梁周围温度为0,底表面无应力。厚度方向采用状态空间法,纵向采用傅里叶级数法进行求解。将数值结果与已有结果对比,验证公式的准确度。最后,研究功能梯度材料指标、机电耦合、厚度比、热机械界面条件对梁抗弯性能的影响。
The analysis and research of functionally graded beam with piezoelectric actuator and sensor under electric field and thermo-mechanical loading were carried out. It is assumed that the main properties of the functionally graded material vary exponentially in the thickness direction, while the Poisson’s ratio does not change. The composite beam is subjected to plane stress and the piezoelectric layer consists of orthotropic materials. The temperature around the beam is zero and there is no stress on the bottom surface. The thickness direction of the state space method, vertical Fourier series method to solve. Compare the numerical results with the existing results to verify the accuracy of the formula. Finally, the effects of functional graded material index, electromechanical coupling, thickness ratio and thermo-mechanical interface conditions on beam bending performance were investigated.