具有线性介电常数Ogden型锥形介电弹性体作动器的力电响应研究  

Study on the Electromechanical Response of Ogden-Type Conical Dielectric Elastomer Actuators with Linear Permittivity

作　　者：缪广红 李顺 楚翔宇 袁成 Guanghong Miao;Shun Li;Xiangyu Chu;Cheng Yuan(School of Mechanics and Optoelectronics Physics,Anhui University of Science and Technology,Huainan,232001;School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan,232001)

机构地区：[1]安徽理工大学力学与光电物理学院,淮南232001 [2]安徽理工大学土木建筑学院,淮南232001

出　　处：《固体力学学报》2024年第6期748-758,共11页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11902003)资助。

摘　　要：为研究锥形介电弹性体作动器在非理想状态下的力电特性,本文采用多材料常数Ogden模型,考虑无预拉伸和预拉伸的情况下,通过引入依赖拉伸率的线性介电常数,得到非理想状态下的本构关系.对薄膜受到外力外电压作用时发生面外非线性轴对称大变形进行数值模拟.结果表明在预拉伸下,随着电致伸缩系数的减小,薄膜变形,拉伸量呈稳定状态,真实电场分布呈均匀状态,研究结果有利于理解介电弹性体的力电稳定性,更好地指导此类作动器的设计.This study investigates the electromechanical characteristics of a conical dielectric elastomer actuator in a non-ideal state,specifically focusing on the dielectric constant related to tensile deformation.By using the Ogden elastic strain energy function with multiple material constants and incorporating a linear permittivity that depends on the tensile rate,the constitutive relation for a non-ideal state is further deduced.The model is solved employing the shooting method,allowing for analysis of the mechanical performance and electromechanical stability of conical dielectric elastomers.We observe significant out-of-plane nonlinear axisymmetric deformation when the membrane is subjected to external force and external voltage,both with and without pre-stretch.By changing the voltage while maintaining constant external force,we identify model parameters and assess how varying electrostriction coefficients impact radial strength,circumferential stretch,and the true electric field.As the electrostriction coefficient decreases,tensile deformation in the membrane becomes increasingly uniform under no pre-stretch conditions,and the true electric field distribution tends to become more even.Under prestretch conditions,tensile deformation in the membrane remains stable,and the true electric field distribution is more consistent.When the electrostriction coefficient is sufficiently small,both the tensile deformation and the true electric field distribution tend to be stable,enhancing the overall stability of the dielectric elastomer.It is found that the prestretch condition exhibits greater stability than the no pre-stretch scenario.This research enhances our understanding of the electromechanical properties in non-ideal states,providing a theoretical foundation for the stable operation of conical dielectric elastomers in practical applications.The findings can guide the design of conical dielectric elastomer actuators,assisting engineers in optimizing design parameters to improve the performance and reliability of actua

关 键 词：锥形介电弹性体 非理想 线性介电常数 电致伸缩系数 

分 类 号：TB30[一般工业技术—材料科学与工程]