<p>Based on the principle of non-equilibrium thermodynamics and the theory of nonlinear dissipative dielectrics, this study develops a physical model to describe the viscoelastic electromechanical behavior of a circular dielectric elastomer membrane-spring actuator. Through theoretical analysis and numerical simulations, this study investigates the influence of spring parameters on the viscoelastic electromechanical behavior of the actuator under both constant and periodic loading conditions. It further proposes a regulation method to achieve the desired electromechanical response under different forces by appropriately tuning the spring parameters. The research results indicate that under constant loading conditions, the electromechanical response of the membrane can be either enhanced or suppressed by adjusting the spring’s initial length and stiffness. Specifically, the initial length primarily determines whether the response is enhanced or suppressed, while the stiffness predominantly influences the response amplitude. Furthermore, a functional relationship among the force, spring parameters, and the steady-state downward displacement of the disk has been established. This relationship allows the system to achieve the same steady-state deformation under varying forces by appropriately tuning the spring parameters, thereby enabling response optimization under non-ideal loading conditions. Under periodic excitation by force and voltage, the actuator exhibits stable oscillatory behavior, with the spring parameters continuing to play a crucial regulatory role. Specifically, these parameters significantly affect both the amplitude of the dynamic response and the time required for the system to reach steady-state oscillations. This study aims to provide theoretical guidance for the structural design and performance optimization of circular dielectric elastomer membrane-spring actuators in applications such as soft robotics, artificial heart pumps, and soft fluidic pumps.</p>