scholarly journals Demonstration of accelerating and decelerating nonlinear impulse waves in functionally graded granular chains

2018 ◽  
Vol 376 (2127) ◽  
pp. 20170136 ◽  
Author(s):  
Rajesh Chaunsali ◽  
Eunho Kim ◽  
Jinkyu Yang
Keyword(s):  
Functionally Graded ◽  
Contact Forces ◽  
Granular System ◽  
Nonlinear Energy Transfer ◽  
Granular Chains ◽  
Highly Nonlinear ◽  
Impulse Excitation ◽  
Impulse Waves ◽  
Nonlinear Energy ◽  
Stiffness Distribution

We propose a tunable cylinder-based granular system that is functionally graded in its stiffness distribution in space. With no initial compression given to the system, it supports highly nonlinear waves propagating under an impulse excitation. We investigate analytically, numerically and experimentally the ability to accelerate and decelerate the impulse wave without a significant scattering in the space domain. Moreover, the gradient in stiffness results in the scaling of contact forces along the chain. We envision that such tunable systems can be used for manipulating highly nonlinear impulse waves for novel sensing and impact mitigation purposes. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

Nonlinear Dynamics of Granular Chains

2010 ◽  
Author(s):  
Yuli Starosvetsky ◽  
Alexander F. Vakakis
Keyword(s):  
Nonlinear Dynamics ◽  
Traveling Waves ◽  
Equations Of Motion ◽  
Traveling Wave Solutions ◽  
Strongly Nonlinear ◽  
Nonlinear Energy Transfer ◽  
Granular Chains ◽  
Spatial Periodicity ◽  
Analytical Approaches ◽  
Nonlinear Energy

We study strongly nonlinear traveling waves in one-dimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi–analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chains possess complex nonlinear dynamics, including the capacity for intrinsic nonlinear energy transfer.

scholarly journals Evaluation of Spatial Variation of Nonlinear Energy Transfer by Use of Turbulence Diagnostic Simulator

2013 ◽  
Vol 8 (0) ◽  
pp. 2403070-2403070 ◽  
Author(s):  
Naohiro KASUYA ◽  
Satoru SUGITA ◽  
Makoto SASAKI ◽  
Shigeru INAGAKI ◽  
Masatoshi YAGI ◽  
...  
Keyword(s):  
Energy Transfer ◽  
Spatial Variation ◽  
Nonlinear Energy Transfer ◽  
Nonlinear Energy

scholarly journals Influence of Accuracy Improvement of Nonlinear Energy Transfer in Wave Model

2009 ◽  
Vol 65 (1) ◽  
pp. 171-175
Author(s):  
Noriaki HASHIMOTO ◽  
Koji KAWAGUCHI ◽  
Katsuyuki SUZUYAMA ◽  
Masaru YAMASHIRO ◽  
Mitsuyoshi KODAMA
Keyword(s):  
Energy Transfer ◽  
Wave Model ◽  
Accuracy Improvement ◽  
Nonlinear Energy Transfer ◽  
Nonlinear Energy

scholarly journals Nonlinear couplings and energy transfers in micro- and nano-mechanical resonators: intermodal coupling, internal resonance and synchronization

2018 ◽  
Vol 376 (2127) ◽  
pp. 20170141 ◽  
Author(s):  
Keivan Asadi ◽  
Jun Yu ◽  
Hanna Cho
Keyword(s):  
Internal Resonance ◽  
Development Stage ◽  
Vibrational Modes ◽  
Mechanical Resonators ◽  
The Past ◽  
Nonlinear Energy Transfer ◽  
Energy Transfers ◽  
Wide Range ◽  
Plate Type ◽  
Nonlinear Energy

Extensive development of micro/nano-electromechanical systems (MEMS/NEMS) has resulted in technologies that exhibit excellent performance over a wide range of applications in both applied (e.g. sensing, imaging, timing and signal processing) and fundamental sciences (e.g. quantum-level problems). Many of these outstanding applications benefit from resonance phenomena by employing micro/nanoscale mechanical resonators often fabricated into a beam-, membrane- or plate-type structure. During the early development stage, one of the vibrational modes (typically the fundamental mode) of a resonator is considered in the design and application. In the past decade, however, there has been a growing interest in using more than one vibrational mode for the enhanced functionality of MEMS/NEMS. In this paper, we review recent research efforts to investigate the nonlinear coupling and energy transfers between multiple modes in micro/nano-mechanical resonators, focusing especially on intermodal coupling, internal resonance and synchronization. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

scholarly journals Emergence of non-stationary regimes in one- and two-dimensional models with internal rotators

2018 ◽  
Vol 376 (2127) ◽  
pp. 20170134 ◽  
Author(s):  
K. Vorotnikov ◽  
M. Kovaleva ◽  
Y. Starosvetsky
Keyword(s):  
Energy Transfer ◽  
Harmonic Excitation ◽  
Two Dimensional ◽  
Theme Issue ◽  
One Dimensional ◽  
Lateral Vibrations ◽  
Nonlinear Energy Transfer ◽  
Energy Exchanges ◽  
Dimensional Models ◽  
Nonlinear Energy

In the present paper, we give a selective review of some very recent works concerning the non-stationary regimes emerging in various one- and two-dimensional models incorporating internal rotators. In one-dimensional models, these regimes are characterized by the intense energy transfer from the outer element, subjected to initial or harmonic excitation, to the internal rotator. As for the two-dimensional models (incorporating internal rotators), we will mainly focus on the two special dynamical states, namely a state of the near-complete energy transfer from longitudinal to lateral vibrations of the outer element as well as the state of a permanent, unidirectional energy locking with mild, spatial energy exchanges. In this review, we will discuss the recent theoretical and experimental advancements in the study of essentially nonlinear mechanisms governing the formation and bifurcations of the regimes of intense energy transfer. The present review is composed of two parts. The first part will be mainly devoted to the emergence of resonant energy transfer states in one-dimensional models incorporating internal rotators, while the second part will be mainly concerned with the manifestation of various energy transfer states in two-dimensional ones. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

Frequency Analysis of Nonlinear Energy Transfer

2001 ◽  
Author(s):  
L. Palatella ◽  
A. Di Lieto ◽  
P. Minguzzi ◽  
A. Toncelli ◽  
M. Tonelli
Keyword(s):  
Energy Transfer ◽  
Frequency Analysis ◽  
Nonlinear Energy Transfer ◽  
Nonlinear Energy

scholarly journals Multi-frequency nonlinear energy transfer from linear oscillators to mdof essentially nonlinear attachments

2005 ◽  
Vol 285 (1-2) ◽  
pp. 483-490 ◽  
Author(s):  
Stylianos Tsakirtzis ◽  
Gaetan Kerschen ◽  
Panagiotis N. Panagopoulos ◽  
Alexander F. Vakakis
Keyword(s):  
Energy Transfer ◽  
Nonlinear Energy Transfer ◽  
Nonlinear Energy
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