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首页> 外文期刊>IEEE Transactions on Automatic Control >Potential Formulation for Charge or Current-Controlled Piezoelectric Smart Composites and Stabilization Results: Electrostatic Versus Quasi-Static Versus Fully-Dynamic Approaches
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Potential Formulation for Charge or Current-Controlled Piezoelectric Smart Composites and Stabilization Results: Electrostatic Versus Quasi-Static Versus Fully-Dynamic Approaches

机译:电荷或电流控制的压电智能复合材料的潜在配方及其稳定化结果:静电对准静态对全动态方法

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摘要

We consider a less-hysteretic piezoelectric smart composite beam model whose piezoelectric layers are actuated by charge or current only. The governing equations are derived through a consistent variational approach by the thin-compliant layer Rao-Nakra sandwich beam assumptions. For the inclusion of electromagnetic effects in piezoelectric layers, we consider all three approaches (electrostatic, quasi-static, and fully dynamic) of the potential formulation of Maxwell's equations. The initial value problems are shown to be well-posed by the Coulomb gauge condition. In the fully-dynamic approach, even though a dramatic reflection of magnetic effects on the stabilizability characteristics of the composite with the B*-type feedback is shown, the models provide alternate electromagnetic feedback controllers. In electrostatic and quasi-static approaches, exponential stability (charge) and asymptotic stability (current) results are proved. Finally, closed-loop systems for each approach and actuation are simulated by the filtered semidiscrete finite-difference method.
机译:我们考虑一种低磁滞的压电智能复合梁模型,该模型的压电层仅由电荷或电流驱动。该控制方程是由薄顺应层Rao-Nakra夹层梁假设通过一致的变分方法得出的。为了在压电层中包含电磁效应,我们考虑了麦克斯韦方程组电位公式的所有三种方法(静电,准静态和全动态)。初始值问题被证明是由库仑量规条件引起的。在全动态方法中,即使显示了磁性对具有B *型反馈的复合材料的稳定性特性的戏剧性反映,这些模型仍提供了备用的电磁反馈控制器。在静电和准静态方法中,证明了指数稳定性(电荷)和渐近稳定性(电流)的结果。最后,通过滤波的半离散有限差分方法对每种方法和致动的闭环系统进行了仿真。

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