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A New Discrete-Layer Finite Element for Electromechanically Coupled Analyses of Piezoelectric Adaptive Composite Structures

机译:压电自适应复合结构机电耦合分析的一种新的离散层有限元

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摘要

A new discrete layer finite element (DLFE) is presented for electromechanically coupled analyses of moderately thick piezoelectric adaptive composite plates. The retained kinematics is based on layer-wise first-order shear deformation theory, and considers the plies top and bottom surfaces in-plane displacements and the plate transverse deflection as mechanical unknowns. The former are assumed in-plane Lagrange linear, while the latter is assumed in-plane full (Lagrange) quadratic; this results in a nine nodes quadrangular (Q9) DLFE. The latter is validated in free-vibrations, first numerically against ANSYS~® three-dimensional piezoelectric finite elements for a cantilever moderately thick aluminum plate with two co-localized piezoceramic patches, and then experimentally against a free quasi-isotropic transverse composite thin plate with four piezoceramic patches. The obtained short-circuit and open-circuit (OC) frequencies were satisfactory for both benchmarks, while the post-treated modal effective electromechanical coupling coefficients agreed well with ANSYS~® results (first benchmark) but only fairly with the experimental ones (second benchmark). Once validated, the Q9-DLFE was used to assess numerically the equipotential (EP) physical condition influence on the OC sensed electric potential; for this purpose, the above first benchmark, but with the top piezoceramic patch only, was finally analyzed. It was found that the EP condition homogenizes and lowers the sensed potential on the OC electrode.
机译:提出了一种新的离散层有限元(DLFE),用于中厚压电自适应复合板的机电耦合分析。保留的运动学基于层级一阶剪切变形理论,并将层的顶面和底面的面内位移以及板的横向挠度视为机械未知数。前者假定为平面内拉格朗日线性,而后者假定为平面内全(拉格朗日)二次。这导致九个节点的四边形(Q9)DLFE。后者在自由振动中得到了验证,首先在数值上针对带有两个共定位压电陶瓷贴片的中厚悬臂铝板,针对ANSYS〜®三维压电有限元进行了数值模拟,然后针对具有以下特性的自由准各向同性横向复合薄板进行了实验:四个压电陶瓷贴片。所获得的短路和开路(OC)频率均符合两个基准,而后处理模态有效机电耦合系数与ANSYS〜®结果(第一基准)非常吻合,但与实验结果(第二基准)相当吻合)。一旦通过验证,Q9-DLFE将用于评估等电位(EP)物理条件对OC感测电势的影响;为此,最后分析了上述第一个基准,但仅具有顶部压电陶瓷贴片。发现EP条件使OC电极上的电势均匀化并降低。

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