Bifurcation behavior for mass detection in nonlinear electrostatically coupled resonators

摘要: Abstract The nonlinear coupled vibrations widely exist in resonant structures, which can lead to complex dynamic bifurcation behavior and expand the research scope of fundamental physics. A new micro-mass detection method is proposed by using jumping phenomenon electrostatically resonators this article. Considering frequency excitation, one-to-one internal resonance equations describe sensor are obtained Hamilton’s principle Galerkin method. Then, perturbation analysis introduced study response stability system for small amplitude vibration. Through analysis, it found that isolated branches appear present physical conditions phenomenon. Typically, we demonstrate exploitation jump phenomena two microbeam realize mass quantitative threshold detection, overcomes inaccuracy caused drift Finally, numerical experiments verify validity results paper be potentially useful detection.