功能梯度压电梁的非线性热电耦合分析

Thermo-electro-mechanical Nonlinear Characteristics of Functionally Graded Piezoelectric Actuators

针对功能梯度压电材料(FGPMs)压电单晶、双晶致动器在机械-电-热耦合下的静态弯曲、自由振动等问题。通过Timshenko梁理论和哈密顿方程推导出其控制方程,并考虑了横向剪切变形与轴向和旋转惯性效应。在此基础上,讨论了几何非线性对于压电悬臂梁的影响。数据表明,在模型趋于细长梁时(l/h≥30),梁的非线性项对于压电梁压电效应的影响误差最大可达到10%以上。

Aiming at the static bending, free vibration, of monomorph, bimorph, and multimorph actuators made of functionally graded piezoelectric materials （FGPMs） under a combined thermal-electro-mechanical load. The governing equations of the beam are derived by using Timoshenko beam theory and Hamilton＇s principle, and the transverse shear deformation and axial and rotational inertia effects are considered. On the basis of this, the influence of geometric nonlinearity on the piezoelectric cantilever beam is discussed. The data show that the effect which is caused by the nonlinear term of the beam may leading to error of 10% on the piezoelectric effect of the piezoelectric beam when the model tends to be a slender beam （l/h ≥ 30）.