Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation
Ji‐Huan He, Piotr Skrzypacz, Yanni Zhang, Jing Pang
Abstract
A way to obtain approximate periodic solutions to nonlinear oscillators arising in a microelectromechanical system (MEMS) is presented for the case of zero initial conditions and magnetostatic excitation. The frequency–amplitude relationship is derived by adopting He′s frequency formulation. The obtained analytical results are illustrated graphically. The proposed simple approach gives the fast insight into the dynamics of the singular oscillator and can be useful for design of MEMS devices.
Topics & Concepts
Microelectromechanical systemsMathematicsExcitationNonlinear systemAmplitudeSimple (philosophy)Zero (linguistics)Mathematical analysisControl theory (sociology)PhysicsQuantum mechanicsComputer scienceEpistemologyPhilosophyArtificial intelligenceControl (management)LinguisticsFractional Differential Equations SolutionsMechanical and Optical ResonatorsAcoustic Wave Phenomena Research