Stability of forced–damped response in mechanical systems from a Melnikov analysis
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Date
2020-08Type
- Journal Article
Abstract
Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent results show how bifurcations near resonances can be predicted analytically from conservative families of periodic orbits (nonlinear normal modes). However, the stability of forced–damped motions is generally determined a posteriori via numerical simulations. In this paper, we present analytic results on the stability of periodic orbits that perturb from conservative nonlinear normal modes. In contrast with prior approaches to the same problem, our method can tackle strongly nonlinear oscillations, high-order resonances, and arbitrary types of non-conservative forces affecting the system, as we show with specific examples. Show more
Publication status
publishedExternal links
Journal / series
ChaosVolume
Pages / Article No.
Publisher
American Institute of PhysicsOrganisational unit
03973 - Haller, George / Haller, George
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