This paper contains review of the theory and applications of nonlinear normal modes, which
are developed during last decade. This review has more than 200 references. It is a …

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …

In this paper, a generalization of the quadratic manifold approach for the reduction of
geometrically nonlinear structural dynamics problems is presented. This generalization is …

This work refines a recently formalized methodology proposed by DJ Ewins consisting of ten
steps for model validation of nonlinear structures. This work details, through a series of …

Substructuring methods have been widely used in structural dynamics to divide large,
complicated finite element models into smaller substructures. For linear systems, many …

The efficiency of a modal substructuring method depends on the component modes used to
reduce each subcomponent model. Methods such as Craig–Bampton have been used …

It is commonly known that nonlinearities in structures can lead to large amplitude responses
that are not predicted by traditional theories. Thus a linear design could lead to premature …

The efficiency of a modal substructuring method depends on the component modes used to
reduce the subcomponent models. Methods such as Craig-Bampton (CB) and Craig-Chang …

Recently, nonlinear reduced order models (ROMs) of large scale finite element models have
been used to approximate the nonlinear normal modes (NNMs) of detailed structures with …

A new approach to model order reduction of nonlinear control systems is aimed at
developing persistent reduced order models (ROMs) that are robust to the changes in …