Topology optimization of electrostatically actuated micromechanical structures with accurate electrostatic modeling of the interpolated material model
, "Topology optimization of electrostatically actuated micromechanical structures with accurate electrostatic modeling of the interpolated material model", Proceedings of the ASME Design Engineering Technical Conference, DETC2006-99684, 2006
In this paper, we present a novel formulation for performing topology optimization of electrostatically actuated constrained elastic structures. We propose a new electrostatic-elastic formulation that uses the leaky capacitor model and material interpolation to define the material state at every point of a given design domain continuously between conductor and void states. The new formulation accurately captures the physical behavior when the material in between a conductor and a void is present during the iterative process of topology optimization. The method then uses the optimality criteria method to solve the optimization problem by iteratively pushing the state of the domain towards that of a conductor or a void in the appropriate regions. We present examples to illustrate the ability of the method in creating the stiffest structure under electrostatic force for different boundary conditions.
Link to the paper: alwan2006topology-2.pdf