  This research is on the dynamics of electrostatically actuated radial-contour
mode microring resonators. The governing equation of motion is derived by the
minimization of the Hamiltonian and generalized to include the viscous damping
effect. The Galerkin method is used to discretize the distributed-parameter
model of the considered ring resonator. The influences of intermolecular forces
such as van der Waals and Casimir on the dynamic behavior of the resonator are
investigated. The natural frequencies and mode shapes of the ring are
calculated for various values of ratio of radii (\b{eta}). The effect of the
design parameters including ring radius, electrostatic voltage and quality
factor on the dynamic responses, is discussed. The results of present study can
be used in the design of novel MEMS resonators, RF filters and channelizers.
