Parametric vibration of an elastic structure with stationary and rotating rings subjected to traveling loads

摘要: Abstract This work examines the parametric vibration of an elastic dual-ring structure. An analytical model is developed through Hamilton theory, where stationary supports and rotating loads between rings are included. Analytical results obtained by using Galerkin′s multi-scale methods. The imply that there exist four types excitations can occur in a coupled, uncoupled, principal, or combination manner. unstable boundaries derived as closed-form expressions basic parameters. Influences ratio wavenumber to support number, stiffness ring bending, their speed ratios also identified. All validated numerical calculations via Floquet theory. study suggests applications electric motors suppress piezoelectric energy harvesters arouse such improve efficiency.