A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System
Ji‐Huan He, Naveed Anjum, Piotr Skrzypacz
Abstract
A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational principle. Additionally, this paper gives simple formula for the fast frequency estimation of the nonlinear oscillator. Only simple calculation is needed to have a relatively high accuracy results when compared with the other methods.
Topics & Concepts
Nonlinear systemMicroelectromechanical systemsVariational principleHamilton's principleClassical mechanicsMathematicsPhysicsCalculus (dental)Applied mathematicsComputer scienceControl theory (sociology)Quantum mechanicsArtificial intelligenceEquations of motionMedicineDentistryControl (management)Advanced MEMS and NEMS TechnologiesSensor Technology and Measurement SystemsAdvanced Sensor Technologies Research