Dielectric elastomer (DE) membrane transducers allow to achieve large strain, low energy consumption, low-noise, and highly compact mechatronic devices. To optimize the design of membrane DEs via numerically efficient software tools, as well as to develop accurate control and self-sensing algorithms, a lumped parameter model is required. In the case of rectangular DE strips clamped at both ends and subject to a uniaxial in-plane load, the resulting necking and inhomogeneous deformation turn out to be challenging to be described via standard lumped models, thus making it necessary to rely on numerically involved finite element (FE) tools. In this paper, we present a novel modeling framework that permits to accurately describe clamped DE membranes with generic aspect ratio in a control-oriented fashion. The model is grounded on an anisotropic free-energy function, which maps the inhomogeneities due to clamping within the constitutive membrane behavior. In this way, a lumped descri...

中文翻译：

---

任意纵横比的带状介电弹性体膜换能器的集总参数模型

介电弹性体（DE）膜传感器可实现大应变，低能耗，低噪声和高度紧凑的机电一体化设备。为了通过数值高效的软件工具优化膜DE的设计，以及开发精确的控制和自感应算法，需要集总参数模型。如果矩形DE板条的两端夹紧并且承受单轴平面内载荷，则产生的颈缩和不均匀变形很难通过标准集总模型进行描述，因此必须依赖于数值相关的有限元法元素（FE）工具。在本文中，我们提出了一种新颖的建模框架，该框架允许以面向控制的方式准确地描述具有通用长宽比的夹紧DE膜。该模型基于各向异性的自由能函数，该函数映射了由于在本构膜行为范围内的夹紧而导致的不均匀性。这样，集总描述...