Electromechanical coupling characteristics of double-layer piezoelectric quasicrystal micro/nano-actuator are investigated by considering the effects of nanoscale interactions and nonlocal scale. The analytical models in the phonon, phason, and electric fields are derived via state vector formulation and propagator matrix method based on quasicrystal nonlocal elasticity theory. Governing equations of the models with geometrical nonlinearity are solved using the secant method. All nonlinear effects of the electrostatic force, van der Waals force, Casimir force, and nonlocal parameters on the mechanical behaviors of quasicrystal actuators are studied. Our results show that the increment of van der Waals force and Casimir force enlarges phonon stress and displacement. When the initial gap is larger than 3.72 nm, the effect of van der Waals force is more significant than that of Casimir force. The phonon-phason coupling elastic coefficient and the nonlocal scale parameter respectively have positive and negative effects on the static responses. Besides, the influence of the Casimir force on mechanical behavior depends on the volume ratio and scale of the quasicrystal nano-actuator.

通过考虑纳米级相互作用和非局部尺度的影响，研究了双层压电准晶体微/纳米致动器的机电耦合特性。通过基于准晶体非局部弹性理论的状态矢量公式和传播矩阵方法，推导了声子，声子和电场的解析模型。使用割线法求解具有几何非线性的模型的控制方程。研究了静电力，范德华力，卡西米尔力和非局部参数对准晶体执行器力学行为的所有非线性影响。我们的结果表明范德华力和卡西米尔力的增加会增大声子应力和位移。当初始间隙大于3.72 nm时，范德华力的作用比卡西米尔力的作用更大。声子-相子耦合弹性系数和非局部尺度参数分别对静态响应产生正负影响。此外，卡西米尔力对机械性能的影响还取决于准晶纳米致动器的体积比和规模。