This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

In this article, we address the model identification of nonlinear vibratory systems, with a
specific focus on systems modeled with distributed nonlinearities, such as geometrically …

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

In this paper, the effect of gravity on the nonlinear extreme amplitude vibrations of a slender,
vertically oriented cantilever beam is investigated. The extreme nonlinear vibrations are …

The transition from periodic to chaotic vibrations in free-edge, perfect and imperfect circular
plates, is numerically studied. A pointwise harmonic forcing with constant frequency and …

These lecture notes are related to the CISM course on” Modal Analysis of nonlinear
Mechanical systems”, held at Udine, Italy, from June 25 to 29, 2012. The key concept at the …

Subjected to high level forcing, flexible and curved beams exhibit pronounced geometrical
nonlinearities. In particular, intrinsic nonlinearities of cantilevers are different from their …

Maritime structures in water always experience a mean hydrostatic pressure. This paper
investigates the nonlinear vibration of a clamped circular thin plate subjected to a non-zero …

Large-amplitude, geometrically non-linear vibrations of free-edge circular plates with
geometric imperfections are addressed in this work. The dynamic analog of the von Kármán …

The dynamics of the local kinetic energy spectrum of an elastic plate vibrating in a wave
turbulence (WT) regime is investigated with a finite difference, energy-conserving scheme …