Analysis on Bifurcation Behavior of an Acoustic Device with Impact Vibrations

2020 ◽  
Vol 2020 (0) ◽  
pp. 136
Author(s):  
Kohei YAMAGUCHI ◽  
Shinichi MARUYAMA ◽  
Kenta WATANABE
2010 ◽  
Vol 29 (1) ◽  
pp. 25-29 ◽  
Author(s):  
K.A.P. Siriwardena ◽  
L.C.P. Fernando ◽  
N. Nanayakkara ◽  
K.F.G. Perera ◽  
A.D.N.T. Kumara ◽  
...  
Keyword(s):  

Author(s):  
Jingyue Wang ◽  
Ning Liu ◽  
Haotian Wang ◽  
Jiaqiang E

Based on the lumped mass method, a torsional vibration model of the planetary gear system is established considering the nonlinear factors such as friction, time-varying meshing stiffness, backlash, and comprehensive error. The Runge–Kutta numerical method is used to analyze the motion characteristics of the system with various parameters and the influence of tooth friction on the bifurcation and chaos characteristics of the system. The numerical simulation results show that the system has rich bifurcation behavior with the excitation frequency, damping ratio, comprehensive error amplitude, load and backlash, and experiences multiple periodic motion and chaotic motion. Tooth friction makes the bifurcation behavior of the system fuzzy in the high frequency and heavy load areas, makes the chaos of the system restrained in the low-damping ratio and light load areas, advances the bifurcation point of the system in the small comprehensive error amplitude area, and makes the period window of the chaos area larger in the large-backlash area, which makes the bifurcation behavior of the system more complex.


1999 ◽  
Vol 66 (1) ◽  
pp. 3-9 ◽  
Author(s):  
V. Tvergaard

Analyses of plastic instabilities are reviewed, with focus on results in structural mechanics as well as continuum mechanics. First the basic theories for bifurcation and post-bifurcation behavior are briefly presented. Then, localization of plastic flow is discussed, including shear band formation in solids, localized necking in biaxially stretched metal sheets, and the analogous phenomenon of buckling localization in structures. Also some recent results for cavitation instabilities in elastic-plastic solids are reviewed.


2018 ◽  
Vol 14 (2) ◽  
pp. NP1-NP2

James E.K. Parker, Towards an Acoustic Jurisprudence: Law and the Long Range Acoustic Device, Law, Culture and the Humanities (LCH). DOI: 10.1177/1743872115615502 The following corrections have been made to the article: Under heading III.1, another paragraph has been added. This paragraph begins ‘Whereas normal loudspeaker works…’ Under heading III.2, a paragraph has been edited: ‘In effect, what ATC did with the LRAD…’ Under heading III.2, the first sentence of the last paragraph has been expanded to clarify that the G-20 summit was held in Pittsburgh: The LRAD seems to have been used by police for the first time in Georgia in 2007, before receiving its first and most notorious outing on American soil in September 2009 at protests relating to the G-20 Summit being held in Pittsburgh.66 Under heading III.4, the sentence below in the second paragraph has been changed as follows: The law of property provides the conditions for the circulation and ownership of knowledge that enable developments in the science of acoustics at a US university in the 1950s to re-emerge as failed commercial prototypes in Japan in the 1980s only to be taken up again in 1996 by ACT before being patented, trademarked and marketed first as HSS® and then as the LRAD.82 Under heading III.4, the following has been added to the end of the paragraph ‘If the LRAD was originally imagined…’: Not that the presiding judge in the Toronto case would know however. In his discussion of a deposition by Professor David Wood, of Queen’s University, relating to ‘videos posted on the internet’ documenting the LRAD’s use at Pittsburgh, Justice Brown notes that, ‘unfortunately, Professor Wood did not attach any of those media reports or videos as exhibits to his affidavit. As a result, I cannot attach any weight to his statements.’93 Indeed, it’s not clear that any recordings of an LRAD in action were ever actually played in court. As far as I know, the LRAD has yet to feature in the ‘judicial soundscape’. In the conclusion the word ‘copyright’ has been replaced with ‘intellectual property’: The LRAD is the product of diverse institutions, jurisdictions and areas of doctrine, stretching from the law of intellectual property through the law of war to constitutional and labor law. The references and reference numbers have been updated accordingly. All the subsequent versions of the article will be corrected.


2017 ◽  
Vol 34 (7) ◽  
pp. 2379-2395 ◽  
Author(s):  
Reza Ebrahimi ◽  
Mostafa Ghayour ◽  
Heshmatallah Mohammad Khanlo

Purpose This paper aims to present bifurcation analysis of a magnetically supported coaxial rotor model in auxiliary bearings, which includes gyroscopic moments of disks and geometric coupling of the magnetic actuators. Design/methodology/approach Ten nonlinear equations of motion were solved using the Runge–Kutta method. The vibration responses were analyzed using dynamic trajectories, power spectra, Poincaré maps, bifurcation diagrams and the maximum Lyapunov exponent. The analysis was carried out for different system parameters, namely, the inner shaft stiffness, inter-rotor bearing stiffness, auxiliary bearing stiffness and disk position. Findings It was shown that dynamics of the system could be significantly affected by varying these parameters, so that the system responses displayed a rich variety of nonlinear dynamical phenomena, including quasi-periodicity, chaos and jump. Next, some threshold values were provided with regard to the design of appropriate parameters for this system. Therefore, the proposed work can provide an effective means of gaining insights into the nonlinear dynamics of coaxial rotor–active magnetic bearing systems with auxiliary bearings in the future. Originality/value This paper considered the influences of the inner shaft stiffness, inter-rotor bearing stiffness, auxiliary bearing stiffness and disk position on the bifurcation behavior of a magnetically supported coaxial rotor system in auxiliary bearings.


Procedia CIRP ◽  
2013 ◽  
Vol 5 ◽  
pp. 290-293 ◽  
Author(s):  
Kanako Harada ◽  
Takashi Azuma ◽  
Tomoyuki Inoue ◽  
Toshiaki Takeo ◽  
Shu Takagi ◽  
...  

2015 ◽  
Vol 82 (9) ◽  
Author(s):  
X. Chen ◽  
S. A. Meguid

In this paper, we investigate the asymmetric bifurcation behavior of an initially curved nanobeam accounting for Lorentz and electrostatic forces. The beam model was developed in the framework of Euler–Bernoulli beam theory, and the surface effects at the nanoscale were taken into account in the model by including the surface elasticity and the residual surface tension. Based on the Galerkin decomposition method, the model was simplified as two degrees of freedom reduced order model, from which the symmetry breaking criterion was derived. The results of our work reveal the significant surface effects on the symmetry breaking criterion for the considered nanobeam.


Resonance ◽  
2021 ◽  
Vol 2 (2) ◽  
pp. 264-280
Author(s):  
John Vilanova

This research explores a set of sound technologies deployed during the 2011 Occupy Wall Street protests in New York City’s Zuccotti Park. It examines the People’s Microphone, the Long Range Acoustic Device (LRAD) sound cannon, the drum circle, and the noise complaint. Deepening understandings of their places within the contemporary urban soundscape and their use during the protests, it uses historical research, textual analysis, and qualitative discourse analysis methods to explore the technologies within a larger framework of the city’s discourses around (in)appropriate sound and action. Its findings suggest that each individual technology was evidence for the nature of its user in a way that presaged how the conflict would play out. The microphone epitomized the ideology (and fragility) of the hyper-democratic Occupiers’ ethos. The LRAD suggested the state’s superlative sonic capability and its “monopoly on the legitimate use of noise.” And the drum circles and noise complaints that followed ultimately showed the ways “noise-making” is better understood as a discursive construction that delegitimizes sound. Together, they suggest the ways the hegemonic soundscape serves the status quo. The essay also elaborates a taxonomy of sonic terms, specifically exploring volume, amplification, and noise-making as terms that explain the dynamics of sound during protest. It offers scholars of media activism a toolkit for sound studies that gets at the dynamics and structures of sonic power and explores the way sound-making is a key battleground of modernity. Sound conventions are a way that contemporary society is codified, legislated, and contested.


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