Analysis for Electromechanical Stability of the DE Actuator with Uniaxial Pre-stretch
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摘要: 介电弹性体驱动器机电稳定性特性是研究衡量介电弹性体性能的重要指标之一。为了解单轴预拉伸下介电弹性体驱动器机电稳定性特性,借助有限元数值模拟手段,从理论建模和仿真计算两方面入手,针对单轴预拉伸条件下介电弹性体驱动器,建立基于Neo-Hookean应变能函数的电致应变模型,根据稳定状态下系统自由能函数对应的海森矩阵正定的特性,建立了介电弹性体驱动器在单轴预拉伸条件下的机电稳定性条件,并采用有限元方法计算了单轴预拉伸条件下驱动器的机电响应。通过分析不同预拉伸水平下极限电致应变、电场强度、电位移等参数关系,获取该介电弹性体驱动器稳态工作区间,推导得到的稳定性条件和有限元建模及仿真分析方法可以为驱动器的设计提供参考。Abstract: Electromechanical stability of the DE actuator is one of the important indexes to measure the dielectric elastomer properties. Simulation calculation and theoretical modeling are adopted to investigate the electromechanical stability of the DE actuator. Based on Neo-Hookean strain energy function and the theory that at the equilibrium state the Hessian Matrix to the free energy function of the system must be positive definite, an electrostrictive strain model of the DE actuator with uniaxial pre-stretch is established. The equilibrium equations describing the relations of input and output are derived. The behaviour of the actuator with uniaxial pre-stretch and the voltage are simulated by ABAQUS as well. The simulation results agree well with the analytic results. And the equilibrium equations obtained and the method used in the FEM can be used in the design of DE actuators.
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Keywords:
- dielectric elastomer /
- actuators /
- uniaxial pre-stretch /
- electromechanical stability
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