Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators.

ABSTRACT: In this paper, we describe a direct normal form decomposition for systems of coupled nonlinear oscillators. We demonstrate how the order of the system can be reduced during this type of normal form transformation process. Two specific examples are considered to demonstrate particular challenges that can occur in this type of analysis. The first is a 2 d.f. system with both quadratic and cubic nonlinearities, where there is no internal resonance, but the nonlinear terms are not necessarily ε ¹-order small. To obtain an accurate solution, the direct normal form expansion is extended to ε ²-order to capture the nonlinear dynamic behaviour, while simultaneously reducing the order of the system from 2 to 1 d.f. The second example is a thin plate with nonlinea

SUBMITTER: Liu X 

PROVIDER: S-EPMC6735485 | biostudies-literature | 2019 Aug

REPOSITORIES: biostudies-literature