Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …

Mathematical models of chaotic phenomena in physical systems are discussed in an
introductory overview. Chapters are devoted to the nature of chaotic dynamics, the classical …

A single-degree of freedom non-linear oscillator is considered. The non-linearity is in the
restoring force and is piecewise linear with a single change in slope. Such oscillators …

As the most important parts of rotating machinery, rotors are also the most prone to
mechanical vibrations, which may lead to machine failure. Correction is only possible when …

-Models of vibro-impact systems are widely used in machine dynamics, vibration
engineering, and structural mechanics.-Only monograph on this subject in English …

Page 1 LECTURE NOTES IN APPLIED AND COMPUTATIONAL MECHANICS VOL. 43 Raouf A.
Ibrahim Vibro-Impact Dynamics Modeling, Map** and Applications Springer Page 2 Lecture …

The first part of this paper presents results of numerical simulation of the dynamic behavior
of a one-lateral-mode unbalanced and radially side-loaded rotor with either a loose pedestal …

Forced vibrations of an elastic beam with non-linear boundary conditions are shown to
exhibit chaotic behavior of the strange attractor type for a sinusoidal input force. The beam is …

We consider the simple harmonic oscillator with harmonic excitation and a constraint that
restricts motions to one side of the equilibrium position. Thus, on the achievement of a …

In this article, we provide an overview of a selection of topics of current interest in nonlinear
dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics …