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 …

Two principal concepts of nonlinear normal vibrations modes (NNMs), namely the Kauderer–
Rosenberg and Shaw–Pierre concepts, are analyzed. Properties of the NNMs and methods …

The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its
companion, Part II. Because there is virtually no application of the NNMs to large-scale …

This paper addresses a detailed literature review on non-linear modes of vibration and its
role in obtaining more efficient reduced-order models, as compared to those obtained by …

Numerical computation of nonlinear normal modes (NNMs) for conservative vibratory
systems is addressed, with the aim of deriving accurate reduced-order models up to large …

This paper presents an attempt to generalize the modal superposition formula to mechanical
systems with impact type non-linearities following the procedure introduced for smooth non …

Donnell equations are used to simulate free nonlinear oscillations of cylindrical shells with
imperfections. The expansion, which consists of two conjugate modes and axisymmetric …

The nonlinear two‐degree‐of‐freedom system under consideration consists of the linear
oscillator with a relatively big mass, which is an approximation of some continuous elastic …

The nonlinear two-degrees-of-freedom system under consideration consists of a linear
oscillator with a relatively big mass which is an approximation of some continuous elastic …

Theoretical and experimental modal analysis, ie, the computation of vibration modes from a
mathematical model and from experimental data, respectively, is quite sophisticated and …