Past, present and future of nonlinear system identification in structural dynamics
This survey paper contains a review of the past and recent developments in system
identification of nonlinear dynamical structures. The objective is to present some of the …
identification of nonlinear dynamical structures. The objective is to present some of the …
Lyapunov exponents for non-smooth dynamical systems
M Kunze - Non-Smooth Dynamical Systems, 2007 - Springer
For smooth dynamical systems, Lyapunov exponents are a well-established tool for making
qualitative predictions about the long-term behaviour of the system, since they describe the …
qualitative predictions about the long-term behaviour of the system, since they describe the …
Dynamics and bifurcations of nonsmooth systems: A survey
O Makarenkov, JSW Lamb - Physica D: Nonlinear Phenomena, 2012 - Elsevier
In this survey we discuss current directions of research in the dynamics of nonsmooth
systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for …
systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for …
Bifurcations in nonsmooth dynamical systems
A review is presented of the one-parameter, nonsmooth bifurcations that occur in a variety of
continuous-time piecewise-smooth dynamical systems. Motivated by applications, a …
continuous-time piecewise-smooth dynamical systems. Motivated by applications, a …
[图书][B] Vibro-impact dynamics: modeling, mapping and applications
RA Ibrahim - 2009 - books.google.com
Page 1 LECTURE NOTES IN APPLIED AND COMPUTATIONAL MECHANICS VOL. 43 Raouf A.
Ibrahim Vibro-Impact Dynamics Modeling, Mapping and Applications Springer Page 2 Lecture …
Ibrahim Vibro-Impact Dynamics Modeling, Mapping and Applications Springer Page 2 Lecture …
Grazing bifurcations in impact oscillators
Impact oscillators demonstrate interesting dynamical features. In particular, new types of
bifurcations take place as such systems evolve from a nonimpacting to an impacting state (or …
bifurcations take place as such systems evolve from a nonimpacting to an impacting state (or …
The dynamics of a harmonically excited system having rigid amplitude constraints, Part 1: Subharmonic motions and local bifurcations
SW Shaw - 1985 - asmedigitalcollection.asme.org
A simple model for the response of mechanical systems having two-sided amplitude
constraints is considered. The model consists of a piecewise-linear single degree-of …
constraints is considered. The model consists of a piecewise-linear single degree-of …
A periodically forced impact oscillator with large dissipation
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 …
restricts motions to one side of the equilibrium position. Thus, on the achievement of a …
Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems
M di Bernardo, CJ Budd, AR Champneys - Physica D: Nonlinear …, 2001 - Elsevier
This paper presents a unified framework for performing local analysis of grazing bifurcations
in n-dimensional piecewise-smooth systems of ODEs. These occur when a periodic orbit …
in n-dimensional piecewise-smooth systems of ODEs. These occur when a periodic orbit …
Forced vibrations of a beam with one-sided amplitude constraint: theory and experiment
SW Shaw - Journal of Sound and Vibration, 1985 - Elsevier
An elastic beam with one-sided amplitude constraint subjected to periodic excitation is
considered. Experimental results are obtained and compared with results given by a …
considered. Experimental results are obtained and compared with results given by a …