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 …

Fluid-conveying nanotubes have become important components of nanoelectromechanical
systems (NEMS) working in fluid environments, exciting extensive research on the dynamics …

The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …

Since the founding theory established by G. Floquet more than a hundred years ago,
computing the stability of periodic solutions has given rise to various numerical methods …

Non-intrusive methods have been used since two decades to derive reduced-order models
for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness …

A nonlinear model for the dynamics of a Kirchhoff rod in the three-dimensional space is
developed in the framework of a discrete elastic theory. The formulation avoids the use of …

This article addresses the measurement of the nonlinear modes of highly flexible structures
vibrating at extreme amplitude, using a Phase-Locked Loop experimental continuation …

This paper presents a general methodology to compute nonlinear frequency responses of
flat structures subjected to large amplitude transverse vibrations, within a finite element …

This paper is concerned with a Taylor series–based continuation algorithm, the so‐called
Asymptotic Numerical Method (ANM). It describes a generic continuation procedure to apply …

The aim of this contribution is to present numerical comparisons of model-order reduction
methods for geometrically nonlinear structures in the general framework of finite element …