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 …
Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures
VG Ivancevic, TT Ivancevic - 2013 - projecteuclid.org
Nonlinear space-time dynamics, defined in terms of celebratedsolitonicequations, brings
indispensable tools for understanding, prediction and control of complex behaviors in both …
indispensable tools for understanding, prediction and control of complex behaviors in both …
Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
We study numerically and analytically the dynamics of passive energy transfer from a
damped linear oscillator to an essentially nonlinear end attachment. This transfer is caused …
damped linear oscillator to an essentially nonlinear end attachment. This transfer is caused …
A locally stabilized radial basis function partition of unity technique for the sine–Gordon system in nonlinear optics
This paper develops a localized radial basis function partition of unity method (RBF-PUM)
based on a stable algorithm for finding the solution of the sine–Gordon system. This system …
based on a stable algorithm for finding the solution of the sine–Gordon system. This system …
New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method
The main aim of this article is studying the coupled sine-Gordon equations in nonlinear
optics, which describe the propagation of an optical pulse in fibre waveguide. New exact …
optics, which describe the propagation of an optical pulse in fibre waveguide. New exact …
New approach to beating phenomenon in coupled nonlinear oscillatory chains
L Manevitch - Archive of Applied Mechanics, 2007 - Springer
We propose an adequate analytical approach to the description of nonlinear vibration with
strong energy exchange between weakly coupled oscillators. The fundamental notion of the …
strong energy exchange between weakly coupled oscillators. The fundamental notion of the …
Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1: 1 resonance captures: Part I
We study targeted energy transfers and nonlinear transitions in the damped dynamics of a
two degree-of-freedom system of coupled oscillators (a linear oscillator with a lightweight …
two degree-of-freedom system of coupled oscillators (a linear oscillator with a lightweight …
Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1: 1 resonance captures: Part II, analytical study
We study targeted energy transfer in a two degree-of-freedom damped system under the
condition of 1: 1 transient resonance capture. The system consists of a linear oscillator …
condition of 1: 1 transient resonance capture. The system consists of a linear oscillator …
The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
Radial basis function (RBF) approximation is an extremely powerful tool for solving various
types of partial differential equations, since the method is meshless and can be spectrally …
types of partial differential equations, since the method is meshless and can be spectrally …
Numerical study of the one-dimensional coupled nonlinear sine-Gordon equations by a novel geometric meshless method
MS Hashemi - Engineering with Computers, 2021 - Springer
In the paper, we derive a geometric meshless method for coupled nonlinear sine-Gordon
(CNSG) equations. Approximate solutions of the CNSG equations are supposed to be …
(CNSG) equations. Approximate solutions of the CNSG equations are supposed to be …