Nonlinear Dynamic Response of Ropeway Roller Batteries via an Asymptotic Approach

The nonlinear dynamic features of compression roller batteries were investigated together with their response to primary resonance excitation and internal interactions between modes. Starting from a parametric model based on previously developed Lagrangian formulation, asymptotic treatment the equations motion was first performed characterize nonlinearity lowest normal modes system. They found be characterized by softening associated stiffness terms. Subsequently, direct time integration compute frequency curves (FRCs) when system is subjected harmonic excitations causing skew-symmetric mode shape. method multiple scales then employed study bifurcation behavior deliver closed-form expressions FRCs loci fold points, which provide stability regions Furthermore, conditions for onset resonances battery found, 2:1 third in case having close mode, respectively.