标题： 关于电流控制压电材料的建模与可稳定性的研究 显示英文标题

标题： On modelling and stabilizability of current-controlled piezoelectric material

摘要： 本文提出了一种新的建模方法，用于完全动态的电磁电流控制压电复合模型，这些模型需要结合拉格朗日方法。 为了模拟机械域，我们考虑了两种不同的梁理论，即欧拉-伯努利梁理论和蒂莫申科梁理论。 我们证明了所推导出的压电复合模型都是适定的。 此外，我们通过分析和仿真表明，这两种电流控制的压电复合材料可以通过简单的电反馈渐近稳定，这在某些系统参数下使系统以经典方式变为无源系统。 在本工作中，我们还回顾了几种相关的压电梁、作动器和复合模型。 显示英文摘要

摘要： This paper presents a new modelling approach to fully dynamic electromagnetic current-controlled piezoelectric composite models that require a combined Lagrangian. To model the mechanical domains, we consider two different beam theories, i.e. the Euler-Bernoulli and Timoshenko beam theories. We show that both derived piezoelectric composite models are well-posed. Furthermore, we show through analysis and simulations that both current-controlled piezoelectric composites are asymptotically stabilizable through simple electric feedback, which renders the system passive in a classical way for certain system parameters. In this work, we also review several related piezoelectric beams, actuators, and composite models.