Dynamic Simulation and Analysis of DEA Based on ANCF Three-Dimensional Triangular Thin Plate Element

Dielectric elastomer actuator (DEA) has wide application prospects. Aiming at the problem that the complex DEA configuration is not conducive to theoretical analysis, a three-dimensional triangular thin plate element based on ANCF is proposed, and DEA dynamics model is established and its dynamic characteristics are analyzed. The element coordinates of the triangular plate element are transformed from the area coordinate system to the Cartesian coordinate system representation, the displacement field of any point on the element is obtained, and the mass matrix, the generalized external force vector, the elastic force and its Jacobian matrix of the triangular plate element are derived. The deformation gradient considering the pre-stretching of DE is constructed, two hyperelastic material constitutive models, Neo-Hookean model and Yeoh model, are used to describe the elastic deformation of dielectric elastomer (DE), and the system dynamics equations of DEA are established and solved. The numerical results of cantilever plate are compared with the experimental results to verify the effectiveness of the element; the simulation solution of the equal biaxial stretches of the DE membrane calculation is compared with the analytical solution to verify the correctness of the modeling method. The dynamics model of the magnetic conical dielectric elastomer driver is established, and the positional changes of the magnetic conical dielectric elastomer driver under voltage loading are analyzed. The simulation results are compared with the experiments, which show that the modeling method can provide help for the design of DEA.