The direct parametrisation method for invariant manifolds is a nonlinear reduction technique
which derives nonlinear mappings and reduced-order dynamics that describe the evolution …

This contribution introduces a methodology for the detection of isolated branches of periodic
solutions to the nonlinear mechanical equation of motion for systems featuring frictionless …

The purpose of this paper is to study how internal resonances can be used to mitigate the
vibration of cyclically symmetric systems exhibiting geometrical nonlinear effects. The …

The prospect of aeroelastic instability, leading to large-amplitude limit cycle oscillations, is of
particular concern for the highly flexible wings of solar high-altitude long-endurance (HALE) …

This work is concerned with the prediction and simulation of limit cycles of a nonlinear
Jeffcott rotor. Geometrical nonlinearity (related to large flexural displacements) in both …

The dynamic characteristic of the dovetailed blade plays a key role in the performance and
service life of the whole aero-engine. Due to the current manufacturing accuracy and …

This study presents the spectral Chebyshev technique (SCT) for nonlinear vibrations of
rotating beams based on a weak formulation. In addition to providing a fast-converging and …

Engineering applications of compression coil springs and leaf springs rely on using pre-
curved and pre-twisted beams with finite element method or its derivatives. Generally, the …

This papers deals with the computationally costly simulation of the frequency response
function of geometrically nonlinear structures exhibiting cyclic symmetry. Its objective is to …

Pour faire face à la demande croissante de réduction des émissions polluantes et
d'amélioration continue des performances de vol, l'industrie aéronautique se tourne de plus …