This paper reviews the recent advances in computational methods for nonlinear normal
modes (NNMs). Different algorithms for the computation of undamped and damped NNMs …

The objective of the present study is to explore the connection between the nonlinear normal
modes of an undamped and unforced nonlinear system and the isolated resonance curves …

The nonlinear normal modes of a dynamical system provide a modal framework in which the
dynamics of a structure can be readily understood. Current numerical approaches use …

Abstract Nonlinear Normal Modes (NNMs) offer tremendous insight into the dynamic
behavior of a nonlinear system, extending many concepts that are familiar in linear modal …

Abstract Non-linear Modal Analysis (NMA) refers to a class of analysis procedures that seek
to characterize non-linear dynamical systems similar to how classical linear modal analysis …

This paper presents a case study in which the finite element model for a curved circular plate
is calibrated to reproduce both the linear and nonlinear dynamic response measured from …

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 …

It is often prohibitively expensive to integrate the response of a high order nonlinear system,
such as a finite element model of a nonlinear structure, so a set of linear eigenvectors is …

The ability to model nonlinear structures subject to random excitation is of key importance in
designing hypersonic aircraft and other advanced aerospace vehicles. When a structure is …

In the past few decades reduced order modeling (ROM) strategies have been developed to
create low order modal models of geometrically nonlinear structures from detailed finite …