Gigahertz oscillation of coaxial cylindrical tubes driven by Casimir and electrostatic forces

With the development of nano electromechanical systems,ultrahigh frequency mechanical oscillators are in great demand. Tomeet this demand, a mechanical oscillator model of double-walled coaxialcylindrical tubes is proposed. The oscillation frequencies of the modeldriven by Casimir and electrostatic forces are evaluated, respectively, bycontinuum mechanics. It is found that when the tube gap of the model reaches1 nanometer scale, the frequencies of the model can reach or even exceed theorder of GHz under ideal situations, whether driven by Casimir force or byelectrostatic force. The present work proves that it is feasible in theoryto achieve GHz oscillators driven by Casimir force or electrostatic force.