A fast estimation of the frequency property of the microelectromechanical system oscillator
Yanni Zhang, Dan Tian, Jing Pang
Abstract
A nonlinear oscillator with zero initial conditions is considered, which makes some effective methods, for example, the variational iteration method and the homotopy perturbation method, invalid. To solve the bottleneck, this paper suggests a simple transform to convert the problem into a traditional case so that He’s frequency formulation can be effectively used to solve its approximate solution. An microelectromechanical system (MEMS) oscillator is used as example to show the solution process, and a good result is obtained.
Topics & Concepts
BottleneckHomotopy perturbation methodNonlinear systemMicroelectromechanical systemsSimple (philosophy)Applied mathematicsMathematicsHomotopyVan der Pol oscillatorPerturbation (astronomy)Control theory (sociology)Mathematical optimizationComputer sciencePhysicsQuantum mechanicsPure mathematicsControl (management)PhilosophyEpistemologyArtificial intelligenceEmbedded systemFractional Differential Equations SolutionsThermoelastic and Magnetoelastic PhenomenaModel Reduction and Neural Networks