Study on the Electromechanical Response of Ogden-Type Conical Dielectric Elastomer Actuators with Linear Permittivity
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 line-ar permittivity that depends on the tensile rate,the constitutive relation for a non-ideal state is further de-duced.The model is solved employing the shooting method,allowing for analysis of the mechanical per-formance 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 elec-trostriction coefficient is sufficiently small,both the tensile deformation and the true electric field distribu-tion tend to be stable,enhancing the overall stability of the dielectric elastomer.It is found that the pres-tretch condition exhibits greater stability than the no pre-stretch scenario.This research enhances our un-derstanding 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 de-sign of conical dielectric elastomer actuators,assisting engineers in optimizing design parameters to im-prove the performance and reliability of actuators.
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