We use the recent theory of spectral submanifolds (SSMs) for model reduction of nonlinear
mechanical systems subject to parametric excitations. Specifically, we develop expressions …

A clamped rotating thin-walled composite elastic blade subjected to periodic base excitation
is considered in this paper. The mathematical model of the structure captures the complex …

This paper investigates the passive control of a rotor instability named helicopter Ground
Resonance (GR). The passive device consists of a set of essential cubic nonlinear …

Nonlinear stability analysis plays a key role in the design and evaluation of dynamical
systems. Model-based analysis methods require extensive calibration and computational …

Abstract Helicopter Ground Resonance is a dynamic instability involving the coupling of the
blades motion in the rotational plane (ie the lag motion) and the motion of the fuselage. This …

Many systems such as turbo-generators, wind turbines and helicopters show intrinsic time-
periodic behaviors. Usually, these structures are considered to be faithfully modeled as …

The dynamics of elastic systems coupled with rotating bladed-rotors is rich and complex,
and the blade number may have an influence on the in-vacuo system dynamics. This paper …

Ground resonance is an aero-mechanical instability in helicopters that use soft in-plane
rotors. Traditionally, ground resonance is mitigated by using passive lead–lag dampers that …

Traditional investigation on the dynamics of rotating systems assumes the axis of the rotor to
be fixed. This assumption is valid as long as the stator is significantly heavier than the rotor …

Ground Resonance (GR) in helicopters is a potentially dynamic instability commonly
involving the coalescence of the blade lag mode with the fuselage motion. Linear …