Title :
Simulation of coupled series circuit and microbeam system
Author :
Zhi-An, Yang ; Shang-Shuai, Jia ; Gao-Feng, Li
Author_Institution :
Key Lab. of Struct. & Vibration Eng., Tangshan Coll., Tangshan, China
Abstract :
An investigation into the nonlinear vibration of coupled RLC series circuit and microbeam system is presented. A nonlinear model of coupled RLC circuit and microbeam system is established by the Lagrange-Maxwell equation and vibration equation of microbeam is used to account for the discharge state. A perturbation method, the method of multiple scales, is used to obtain the first approximation solutions and corresponding to steady state solutions of the 1/3 subharmonic resonance system. The effect of the design parameter on the dynamic responses is discussed. Using the simulink tool box of MATLAB software, dynamic simulation of the the 1/3 subharmonic system under the discharge state concludes that the system is in the stable structure based on analysis of the vibration diagram.
Keywords :
Maxwell equations; RLC circuits; circuit simulation; coupled circuits; micromechanical devices; vibrations; Lagrange-Maxwell equation; MATLAB software; MEMS; Simulink tool box; coupled RLC series circuit; coupled series circuit simulation; dynamic responses; dynamic simulation; microbeam system; nonlinear vibration; perturbation method; steady state solution; subharmonic resonance system; vibration diagram analysis; vibration equation; MATLAB; Vibrations; 1/3 Subharmonic Resonance; Coupling; MATLAB; MEMS; RLC Circuit;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620798
