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基于Airy应力函数法,提出了分析功能梯度压电悬臂梁的一种新方法.假设材料的所有电弹性常数沿厚度方向按同一函数规律变化,获得了不同载荷作用下梁内电弹性耦合场的二维平面弹性解.该解适用于任意梯度函数分布的情况.通过数值算例,还研究了不同梯度变化对功能梯度压电梁静力响应的影响.
A new method to analyze the functionally graded piezoelectric cantilever beam is proposed based on the Airy stress function method. Assuming that all the elastic constants of the material change along the thickness direction by the same function, the electroelastic coupling field of the beam under different loads is obtained This solution is suitable for the case of arbitrary gradient function distribution.A numerical example is also given to study the effect of different gradient changes on the static response of a functional gradient piezoelectric beam.