Study on thermal stability and bifurcation analysis of FCC carbon nanotube-based nanolattice as hydrogen storage materials

Abstract The thermal stability and bifurcation of a kind of carbon nanotube-based face-centered cubic (FCC) nanolattice as hydrogen storage materials are studied in this article. The dynamical model of a FCC nanolattice subjected to thermal disturbance is developed where its nonlinear stiffness is considered. The system's resonance frequency is given by the developed L-P method, and the effects of different terms on the resonance frequency are discussed. The system's abundant dynamic behaviours are revealed, which include Hopf bifurcation, limit cycle bifurcation and high-order limit cycle bifurcation in stochastic sense. Analysis results show that the FCC nanolattice's reliability and the first-passage time are almost unaffected by the outside disturbance, and the nanolattice's structures maybe play a main role in the stability and reliability.