Mechanical behaviors in multilayered two-dimensional decagonal quasicrystal (QC) circular nanoplates with initial stresses and nanoscale interactions including electrostatic and Casimir forces are investigated using the state space approach. A uniform static initial biasing field with the initial stresses and related electric displacement for the piezoelectric phase is considered in this research. The external voltage and no voltage between the nanoplate and substrate is respectively applied to the model with QC/crystal/QC structure. The electromechanical coupling characteristics of the model are numerically calculated for different nonlocal scale parameters, initial gaps, initial stresses, and nanoscale interactions. Results indicate that all responses in the phonon, phason, and electric fields are positively influenced by the attraction between the substrate and nanoplate under the Casimir force. The effect from Casimir force is more significant than the effect produced by the electrostatic force under the applied external voltage. The initial compressive stress can reduce displacement and increase electric displacement and Casimir force. Besides, the effect of initial compressive stress is not as evident as the Casimir effect, which determines loading conditions.

使用状态空间方法研究了具有初始应力和纳米级相互作用（包括静电力和卡西米尔力）的多层二维十边形准晶体（QC）圆形纳米板的力学行为。在这项研究中考虑了具有初始应力和压电相的相关电位移的均匀静态初始偏置场。纳米板和基板之间的外部电压和无电压分别应用于具有QC /晶体/ QC结构的模型。针对不同的非局部尺度参数，初始间隙，初始应力和纳米尺度相互作用，通过数值计算模型的机电耦合特性。结果表明，在声子，声子，在卡西米尔力的作用下，基板和纳米板之间的吸引力对电场和电场产生积极影响。卡西米尔力的作用要比外加电压下静电力产生的作用更为显着。初始压应力可以减少位移并增加电位移和卡西米尔力。此外，初始压应力的影响不如确定载荷条件的卡西米尔效应明显。