Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept
The modes are defined as periodic motions induced by an additional (negative) damping term. They reflect the vibration behavior in the presence of a resonant excitation source. Standard methods for analyzing periodic motions can be applied. Capabilities and limitations are investigated for several numerical examples. The concept is valid when modal damping or modal coupling are comparatively weak.
nonconservative systems nonlinear normal modes friction damping harmonic balance shooting method invariant manifold