In this paper, a new framework for large strain of electro-active viscoelastic polymeric beams is developed. The kinematical quantities of beam are derived, and then the constitutive equations of electromechanical beam are developed. To expand the formulation to viscoelastic regime, a generalization of quasi-linear viscoelasticity theory for electo-mechanical deformation is developed and called electro-mechanical quasi-linear viscoelastic (EM-QLV) theory. To deal with highly nonlinear formulation, a finite element formulation in Total Lagrangian framework is derived. Finally, to examine the applicability of the proposed model, several examples are presented and compared with the results in the literature.

中文翻译：

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电粘超弹梁大应变机电计算框架

在本文中，开发了一种用于大应变电活性粘弹性聚合物梁的新框架。推导了梁的运动学量，建立了机电梁的本构方程。为了将公式扩展到粘弹性状态，开发了机电变形的准线性粘弹性理论的推广，称为机电准线性粘弹性（EM-QLV）理论。为了处理高度非线性的公式，推导了全拉格朗日框架下的有限元公式。最后，为了检验所提出模型的适用性，给出了几个例子并与文献中的结果进行比较。