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 …
Recent advances in liquid sloshing dynamics
RA Ibrahim, VN Pilipchuk, T Ikeda - 2001 - asmedigitalcollection.asme.org
A liquid free surface in partially filled containers can experience a wide spectrum of motions
such as planar, non-planar, rotational, quasi-periodic, chaotic, and disintegration. Civil …
such as planar, non-planar, rotational, quasi-periodic, chaotic, and disintegration. Civil …
Energy pum** in nonlinear mechanical oscillators: part I—dynamics of the underlying Hamiltonian systems
The systems considered in this work are composed of weakly coupled, linear and essentially
nonlinear (nonlinearizable) components. In Part I of this work we present numerical …
nonlinear (nonlinearizable) components. In Part I of this work we present numerical …
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
We study the dynamics of a two-degree-of-freedom (DOF) nonlinear system consisting of a
grounded linear oscillator coupled to a light mass by means of an essentially nonlinear …
grounded linear oscillator coupled to a light mass by means of an essentially nonlinear …
Passive non-linear targeted energy transfer and its applications to vibration absorption: a review
This review paper discusses recent efforts to passively move unwanted energy from a
primary structure to a local essentially non-linear attachment (termed a non-linear energy …
primary structure to a local essentially non-linear attachment (termed a non-linear energy …
Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments
We study complex damped and undamped dynamics and targeted energy transfers (TETs)
in systems of coupled oscillators, consisting of single-degree-of-freedom primary linear …
in systems of coupled oscillators, consisting of single-degree-of-freedom primary linear …
[BOOK][B] Asymptotical mechanics of thin-walled structures
IV Andrianov, J Awrejcewicz, LI Manevitch - 2013 - books.google.com
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates
and shells is presented. The main features of the book are the basic principles of …
and shells is presented. The main features of the book are the basic principles of …
Traveling waves and localized modes in one-dimensional homogeneous granular chains with no precompression
Y Starosvetsky, AF Vakakis - Physical Review E—Statistical, Nonlinear, and …, 2010 - APS
We study a class of strongly nonlinear traveling waves and localized modes in one-
dimensional homogeneous granular chains with no precompression. Until now the only …
dimensional homogeneous granular chains with no precompression. Until now the only …
[BOOK][B] Nonlinear dynamics: between linear and impact limits
VN Pilipchuk - 2010 - books.google.com
Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a
variety of “unusual” physical phenomena by means of nonlinear differential equations …
variety of “unusual” physical phenomena by means of nonlinear differential equations …
Periodic orbits of a conservative 2-DOF vibro-impact system by piecewise continuation: bifurcations and fractals
The exact periodic orbits of a conservative 2-degree-of-freedom vibro-impact system with
stereo-mechanical impact model is studied using a piecewise continuation method. Feasible …
stereo-mechanical impact model is studied using a piecewise continuation method. Feasible …