Academic literature on the topic 'Resonance'

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Journal articles on the topic "Resonance"

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Malhotra, Renu. "New results on orbital resonances." Proceedings of the International Astronomical Union 15, S364 (October 2021): 85–101. http://dx.doi.org/10.1017/s1743921321001411.

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AbstractPerturbative analyses of planetary resonances commonly predict singularities and/or divergences of resonance widths at very low and very high eccentricities. We have recently re-examined the nature of these divergences using non-perturbative numerical analyses, making use of Poincaré sections but from a different perspective relative to previous implementations of this method. This perspective reveals fine structure of resonances which otherwise remains hidden in conventional approaches, including analytical, semi-analytical and numerical-averaging approaches based on the critical resonant angle. At low eccentricity, first order resonances do not have diverging widths but have two asymmetric branches leading away from the nominal resonance location. A sequence of structures called “low-eccentricity resonant bridges” connecting neighboring resonances is revealed. At planet-grazing eccentricity, the true resonance width is non-divergent. At higher eccentricities, the new results reveal hitherto unknown resonant structures and show that these parameter regions have a loss of some – though not necessarily entire – resonance libration zones to chaos. The chaos at high eccentricities was previously attributed to the overlap of neighboring resonances. The new results reveal the additional role of bifurcations and co-existence of phase-shifted resonance zones at higher eccentricities. By employing a geometric point of view, we relate the high eccentricity phase space structures and their transitions to the shapes of resonant orbits in the rotating frame. We outline some directions for future research to advance understanding of the dynamics of mean motion resonances.
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ALAM, MOHAMMAD-REZA, YUMING LIU, and DICK K. P. YUE. "Bragg resonance of waves in a two-layer fluid propagating over bottom ripples. Part I. Perturbation analysis." Journal of Fluid Mechanics 624 (April 10, 2009): 191–224. http://dx.doi.org/10.1017/s0022112008005478.

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We investigate, via perturbation analyses, the mechanisms of nonlinear resonant interaction of surface-interfacial waves with a rippled bottom in a two-layer density-stratified fluid. As in a one-layer fluid, three classes of Bragg resonances are found to exist if nonlinear interactions up to the third order in the wave/ripple steepness are considered. As expected, the wave system associated with the resonances is more complicated than that in a one-layer fluid. Depending on the specifics of the resonance condition, the resonance-generated wave may be a surface or internal mode and may be transmitted or reflected. At the second order, class I Bragg resonance occurs involving two surface and/or internal waves and one bottom-ripple component. The interaction of an incident surface/internal wave with the bottom ripple generates a new surface or internal wave that may propagate in the same or the opposite direction as the incident wave. At the third order, class II and III Bragg resonances occur involving resonant interactions of four wave/ripple components: two surface and/or internal waves and two bottom-ripple components for class II resonance; three surface and/or internal waves and one bottom-ripple components for class III resonance. As in class I resonance, the resonance-generated wave in class II resonance has the same frequency as that of the incident wave. For class III resonance, the frequency of the resonant wave is equal to the sum or difference of the two incident wave frequencies. We enumerate and represent, using Feynman-like diagrams, the possible cases and combinations for Bragg resonance up to the third order (in two dimensions). Analytical regular perturbation results are obtained and discussed for all three classes of Bragg resonances. These are valid for limited bottom patch lengths and initial/finite growth of the resonant waves. For long bottom patches, a uniformly valid solution using multiple scales is derived for class I resonance. A number of applications underscoring the importance and implication of these nonlinear resonances on the evolution of ocean waves are presented and discussed. For example, it is shown that three internal/surface waves co-propagating over bottom topography are resonant under a broad range of Bragg conditions. The present study provides the theoretical basis and understanding for the companion paper (Alam, Liu & Yue 2008), where a direct numerical solution for the general nonlinear problem is pursued.
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Kovernikova, Lidiia I. "Resonance Modes at Harmonics Frequencies in Electrical Networks." E3S Web of Conferences 209 (2020): 07006. http://dx.doi.org/10.1051/e3sconf/202020907006.

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Resonance modes at harmonic frequencies in electrical networks are a serious problem. They arise due to the availability of electrical equipment with capacitive and inductive elements. The values of the harmonics of currents and voltages increase at resonances. The voltage quality indices in resonant modes exceed the limit values. Harmonics cause energy losses in electrical equipment, reduce its service life, create economic damage. Capacitor banks are often damaged by resonances. Network nodes with resonant circuits and resonant harmonics can be determined using the frequency characteristics of the nodal reactance (susceptance). The paper presents an algorithm and HARMONICS software for the analysis and forecasting of resonance modes, the results of studies of resonance modes in the high-voltage networks of Eastern Siberia.
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Quinn, Tyler, and Mariah G. MacDonald. "Confirming Resonance in Three Transiting Systems." Astronomical Journal 166, no. 2 (July 13, 2023): 58. http://dx.doi.org/10.3847/1538-3881/ace049.

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Abstract Although resonant planets have orbital periods near commensurability, resonance is also dictated by other factors, such as the planets’ eccentricities and masses, and therefore must be confirmed through a study of the system’s dynamics. Here, we perform such a study for five multiplanet systems: Kepler-226, Kepler-254, Kepler-363, Kepler-1542, and K2-32. For each system, we run a suite of N-body simulations that span the full parameter space that is consistent with the constrained orbital and planetary properties. We study the stability of each system and look for resonances based on the libration of the critical resonant angles. We find strong evidence for a two-body resonance in each system; we confirm a 3:2 resonance between Kepler-226c and Kepler-226d, confirm a 3:2 resonance between Kepler-254c and Kepler-254d, and confirm a three-body 1:2:3 resonant chain between the three planets of Kepler-363. We explore the dynamical history of two of these systems and find that these resonances most likely formed without migration. Migration leads to the libration of the three-body resonant angle, but these angles circulate in both Kepler-254 and Kepler-363. Applying our methods to additional near-resonant systems could help us identify which systems are truly resonant or nonresonant and which systems require additional follow-up analysis.
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Namouni, F., and M. H. M. Morais. "Resonance libration and width at arbitrary inclination." Monthly Notices of the Royal Astronomical Society 493, no. 2 (February 6, 2020): 2854–71. http://dx.doi.org/10.1093/mnras/staa348.

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ABSTRACT We apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of the three-body problem. We examine the 2:1 and 3:1 inner Jupiter and 1:2 and 1:3 outer Neptune resonances and their possible asymmetric librations using a new analytical pendulum model of resonance that includes the simultaneous libration of multiple arguments and their second harmonics. The numerically derived resonance separatrices are obtained using the mean exponential growth factor of nearby orbits (megno chaos indicator). We find that the analytical and numerical estimates are in agreement and that resonance width is determined by the first few fundamental resonance modes that librate simultaneously on the resonant time-scale. Our results demonstrate that the new pendulum model may be used to ascertain resonance width analytically, and more generally, that the disturbing function for arbitrary inclination is a powerful analytical tool that describes resonance dynamics of low as well as high inclination asteroids in the Solar system.
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Lari, Giacomo, Melaine Saillenfest, and Marco Fenucci. "Long-term evolution of the Galilean satellites: the capture of Callisto into resonance." Astronomy & Astrophysics 639 (July 2020): A40. http://dx.doi.org/10.1051/0004-6361/202037445.

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Context. The Galilean satellites have very complex orbital dynamics due to the mean-motion resonances and the tidal forces acting in the system. The strong dissipation in the couple Jupiter–Io is spread to all the moons involved in the so-called Laplace resonance (Io, Europa, and Ganymede), leading to a migration of their orbits. Aims. We aim to characterize the future behavior of the Galilean satellites over the Solar System lifetime and to quantify the stability of the Laplace resonance. Tidal dissipation permits the satellites to exit from the current resonances or be captured into new ones, causing large variation in the moons’ orbital elements. In particular, we want to investigate the possible capture of Callisto into resonance. Methods. We performed hundreds of propagations using an improved version of a recent semi-analytical model. As Ganymede moves outwards, it approaches the 2:1 resonance with Callisto, inducing a temporary chaotic motion in the system. For this reason, we draw a statistical picture of the outcome of the resonant encounter. Results. The system can settle into two distinct outcomes: (A) a chain of three 2:1 two-body resonances (Io–Europa, Europa–Ganymede, and Ganymede–Callisto), or (B) a resonant chain involving the 2:1 two-body resonance Io–Europa plus at least one pure 4:2:1 three-body resonance, most frequently between Europa, Ganymede, and Callisto. In case A (56% of the simulations), the Laplace resonance is always preserved and the eccentricities remain confined to small values below 0.01. In case B (44% of the simulations), the Laplace resonance is generally disrupted and the eccentricities of Ganymede and Callisto can increase up to about 0.1, making this configuration unstable and driving the system into new resonances. In all cases, Callisto starts to migrate outward, pushed by the resonant action of the other moons. Conclusions. From our results, the capture of Callisto into resonance appears to be extremely likely (100% of our simulations). The exact timing of its entrance into resonance depends on the precise rate of energy dissipation in the system. Assuming the most recent estimate of the dissipation between Io and Jupiter, the resonant encounter happens at about 1.5 Gyr from now. Therefore, the stability of the Laplace resonance as we know it today is guaranteed at least up to about 1.5 Gyr.
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Malhotra, Renu, and Nan Zhang. "On the divergence of first-order resonance widths at low eccentricities." Monthly Notices of the Royal Astronomical Society 496, no. 3 (June 19, 2020): 3152–60. http://dx.doi.org/10.1093/mnras/staa1751.

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ABSTRACT Orbital resonances play an important role in the dynamics of planetary systems. Classical theoretical analyses found in textbooks report that libration widths of first-order mean motion resonances diverge for nearly circular orbits. Here, we examine the nature of this divergence with a non-perturbative analysis of a few first-order resonances interior to a Jupiter-mass planet. We show that a first-order resonance has two branches, the pericentric and the apocentric resonance zone. As the eccentricity approaches zero, the centres of these zones diverge away from the nominal resonance location but their widths shrink. We also report a novel finding of ‘bridges’ between adjacent first-order resonances: at low eccentricities, the apocentric libration zone of a first-order resonance smoothly connects with the pericentric libration zone of the neighbouring first-order resonance. These bridges may facilitate resonant migration across large radial distances in planetary systems, entirely in the low-eccentricity regime.
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Pang, Zhaojun, Zhonghua Du, Chun Cheng, and Qingtao Wang. "Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances." International Journal of Aerospace Engineering 2020 (September 21, 2020): 1–12. http://dx.doi.org/10.1155/2020/8844139.

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This paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonance parametric domain is given to provide a reference for the parameter design of the system. The bifurcation behaviors of the system under resonances are studied numerically. The results show that resonant cases more easily enter chaotic motion than nonresonant cases. The extended time-delay autosynchronization (ETDAS) method is applied to stabilize the chaotic motion to a periodic one. Stability analysis shows that the stable domains become smaller in resonance cases than in the nonresonance case. Finally, it is shown that the large amplitudes of periodic solutions under resonances are the main reason why the system is difficult to control.
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Pan, Shanshan, and Xiyun Hou. "Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem." Applied Sciences 12, no. 18 (September 6, 2022): 8952. http://dx.doi.org/10.3390/app12188952.

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Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP). The resonance transition periodic orbits have important applications for tour missions between the interior and the exterior regions of the system. In this work, following the increase of the mass parameter μ in the CRTBP model, we investigate the breakup of the first-order resonant periodic families and their recombination with the resonance transition periodic families. In this process, we can describe in detail how the 1:1 resonance gradually overlaps with nearby first-order resonances with increasing strength of the secondary’s perturbation. Utilizing the continuation method, features of the resonance transition periodic families are discussed and characterized. Finally, an efficient approach to finding these orbits is proposed and some example resonance transition periodic orbits in the Sun–Jupiter system are presented.
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HE, J. J., J. HU, L. Y. ZHANG, L. LI, S. W. XU, X. Q. YU, and M. L. LIU. "REEXAMINATION OF ASTROPHYSICAL RESONANCE-REACTION-RATE EQUATIONS FOR AN ISOLATED, NARROW RESONANCE." International Journal of Modern Physics E 20, no. 01 (January 2011): 165–72. http://dx.doi.org/10.1142/s0218301311017399.

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The well-known astrophysical resonant-reaction-rate (RRR) equations for an isolated narrow resonance induced by the charged particles have been reexamined. The validity of those assumptions used in deriving the classical analytic equations has been checked, and found that these analytic equations only hold for certain circumstances. It shows the customary definition of "narrow" is inappropriate or ambiguous in some sense, and it awakes us not to use those analytic equations without caution. As a suggestion, it is better to use the broad-resonance equation to calculate the RRR numerically even for a narrow resonance of a few keV width. The present conclusion may influence some work in which the classical narrow-resonant equations were used for calculating the RRRs, especially at low stellar temperatures for those previously defined "narrow" resonances.
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Dissertations / Theses on the topic "Resonance"

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Lee, Geoffrey K. "Resonance." Thesis, University of Hawaii at Manoa, 2003. http://hdl.handle.net/10125/6918.

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ers of and perhaps confirmation of the reality of status and servitude. The focus of Resonance was a visual art exhibition centered on the interpretation and modification of the Korean Buddhist bronze temple bell. As an artist of part Korean descent, heavily influenced by popular American culture and traditional Italian glassblowing techniques, it was my goal to create glass forms based on historical objects. The glass forms reflect my personal, technical and material interests. They are also an interpretation of the bell within contemporary and historical culture. The exhibition examined the wayan object both physically and spiritually contained resonance and how that resonance affected all that heard it. The Korean temple bell from the Unified Silla period (676 AD-918 AD) is an example of superb craftsmanship and devotion to king and religion. It also represents the expenses incurred in production, which put innumerable hardships on the lower class. The peasants were obliged to pay heavy taxes, donate their personal bronze objects, and provide labor resulting in an "increasing impoverishment [in] the lives of the common people. Increasing numbers of them could not repay their debts and were reduced to slavery." (Eckert, 49) If a King wanted to produce a great work of art to honor the Buddha, it was the peasantry who sacrificed and provided for its creation. During one such project, the immense Emille bell was cast in the year 771 AD. The largest bell in Korea, when struck could be heard for forty miles on a clear night. One has to wonder what emotions were felt when the immense bronze bell was seen or heard. Twelve hundred years ago, the king might have felt great pride, a Buddhist monk perhaps intense piety, but how did the lower class feel? A peasant working, relaxing, or sleeping forty miles away was supposed to envision the voice of Buddha. But more than likely, they were reminded of their need to pay taxes and tribute. The Korean temple bell was used as a tool to communicate from one group to another without personal interaction. The enlightened used it to communicate with the commoners, the wealthy to the indentured, and it reinforced the repressive nature of a monarchy that closely aligned itself with religion. It was used as a reminder to enforce the hierarchical status quo.
v, 29 leaves
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Lu, Wenmiao. "Off-resonance correction in magnetic resonance imaging /." May be available electronically:, 2008. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Kim, Jongjoo. "Localized Ferromagnetic Resonance using Magnetic Resonance Force Microscopy." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1222191966.

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Whitaker, Sandra S. "Singers' resonance." Virtual Press, 1998. http://liblink.bsu.edu/uhtbin/catkey/1118238.

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The primary purpose of this study was to clarify the underlying principles of singers' resonance and to examine some of the pedagogical practices associated with the traditional schools of singing and contemporary voice science. The secondary purpose was to determine which principles should be retained, discarded, or altered.An examination of the voice pedagogy literature revealed recurrent references to resonance. This implied that the concept is of some importance to voice pedagogy. Singers' resonance has, however, been presented in diverse contexts indicating that (1) it has a number of denotations and connotations, (2) it is sometimes used ambiguously, or inaccurately, and (3) a further investigation of the topic might yield clarity to the field of voice pedagogy.It was determined that though there are many important voice pedagogy methodologies, classically trained professional concert and opera singers of international reputation are taught to optimize singers' resonance both in order to be heard and to produce the accepted tone. It was found that those precepts which are based upon acoustic laws should be conserved and those which are not should be abandoned, altered, or when appropriate, acknowledged as metaphorical.
School of Music
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Vedin, Robert. "Stochastic Resonance." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-193632.

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Noise is often viewed as something unfortunate and unavoidable, however with the development of Stochastic Resonance (SR) theory it has been shown to have beneficial effects in many non-linear systems. We have explored the SR phenomenon via numerical simulations of two such systems. The first one is a one-dimensional Brownian particle in a bi-stable potential and the second a simple model of a signal neuron both subject to a periodic input signal. We have investigated the system responses for different input signal frequencies and noise levels in order to determine both an optimal noise level and any dependencies upon the input signal frequency.
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Lee, Inhee. "Nanoscale Ferromagnetic Resonance Imaging using Magnetic Resonance Force Microscopy." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1281111992.

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Savin, D. V., Ingrid Rotter, V. V. Sokolov, and Markus Müller. "Interfering Doorway States and Giant Resonances I: Resonance Spectrum and Multipole Strengths." Forschungszentrum Dresden, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:d120-qucosa-31356.

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Using a phenomenological schematic model of multipole giant resonances we consider the effects of overlapping of their doorway components. The conccpt of the partial widths of a giant resonance becomes ambiguous when the escape widths get comparable with the spacings between the components. In such a case, the partial widths determined in terms of the K- and S-matrices differ from each othcr. The mixing of the doorway components due to the interaction via the common decay channels influences significantly their multipole strengths, widths and positions in energy.
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Savin, D. V., Ingrid Rotter, V. V. Sokolov, and Markus Müller. "Interfering Doorway States and Giant Resonances I: Resonance Spectrum and Multipole Strengths." Forschungszentrum Rossendorf, 1996. https://hzdr.qucosa.de/id/qucosa%3A21962.

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Using a phenomenological schematic model of multipole giant resonances we consider the effects of overlapping of their doorway components. The conccpt of the partial widths of a giant resonance becomes ambiguous when the escape widths get comparable with the spacings between the components. In such a case, the partial widths determined in terms of the K- and S-matrices differ from each othcr. The mixing of the doorway components due to the interaction via the common decay channels influences significantly their multipole strengths, widths and positions in energy.
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Manners, David Neil. "Magnetic resonance imaging and magnetic resonance spectroscopy of skeletal muscle." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269250.

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Nylund, Andreas. "Off-resonance correction for magnetic resonance imaging with spiral trajectories." Thesis, KTH, Medicinsk teknik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-147925.

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The procedure of cardiographic magnetic resonance imaging requires patients to hold their breath for up to twenty seconds, creating an uncomfortable situation for many patients. It is proposed that an acquisition scheme using spiral trajectories is preferable due to their much shorter total scan time; however, spiral trajectories suffer from a blurring effect caused by off-resonance frequencies in the image area. There are several methods for reconstructing images with reduced blur and Conjugate Phase Reconstruction has been chosen as a method for implementation into Matlab-script for evaluation in regards to image reconstruction quality and computation time. This method finds a conjugate to the off-resonance from a field map to demodulate the image and an algorithm for frequency‑segmented Conjugate Phase Reconstruction is implemented along with an improvement called Multi-frequency Interpolation. The implementation is tested through simulation of spiral magnetic resonance imaging using a Shepp‑Logan phantom. Different off-resonance frequencies and field maps are used to provide a broad view of the functionality of the code. The two algorithms are then compared to each other in terms of computation speed and image quality. It is concluded that this implementation might reconstruct images well but that further testing on actual scan sequences is required to determine the usefulness. The Multi-frequency Interpolation algorithm yields images that are not useful in a clinical context. Further study of other methods not requiring a field map is suggested for comparison.
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Books on the topic "Resonance"

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Sank, Michelle. Resonance. Leicester: De Montfort University, 2001.

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LAXART (Gallery : Los Angeles, Calif.), ed. Resonance. Milan: Mousse Publishing, 2016.

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Architectural League of New York., ed. Resonance. New York: Princeton Architectural Press, 2009.

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T, Ravindran K., Bhatia Usha, and Lalit Kala Akademi, eds. Resonance. New Delhi: Lalit Kala Akademi, 2005.

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Eis, Andrea. Resonance. Rochester, Mich: Meadow Brook Art Gallery, 2000.

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T, Ravindran K., Bhatia Usha, and Lalit Kala Akademi, eds. Resonance. New Delhi: Lalit Kala Akademi, 2005.

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Andò, Bruno, and Salvatore Graziani, eds. Stochastic Resonance. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/978-1-4615-4391-6.

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John, Barnes. Orbital resonance. New York: TOR, 1991.

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Awrejcewicz, Jan, ed. Resonance. InTech, 2017. http://dx.doi.org/10.5772/intechopen.68248.

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Casey, Antonia. Resonance. Xlibris Corporation, 2007.

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Book chapters on the topic "Resonance"

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Chappell, Michael. "Resonance—Nuclear Magnetic Resonance." In Principles of Medical Imaging for Engineers, 39–52. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30511-6_5.

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Morris, Noel M. "Resonance." In Electrical Circuit Analysis and Design, 299–324. London: Macmillan Education UK, 1993. http://dx.doi.org/10.1007/978-1-349-22560-6_12.

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Schechter, Martin. "Resonance." In Linking Methods in Critical Point Theory, 167–204. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1596-7_8.

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Morris, Noel M., and Frank W. Senior. "Resonance." In Electric Circuits, 121–41. London: Macmillan Education UK, 1991. http://dx.doi.org/10.1007/978-1-349-11232-6_6.

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Gooch, Jan W. "Resonance." In Encyclopedic Dictionary of Polymers, 626. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_9974.

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Hollis, Nigel. "Resonance." In Brand Premium, 95–103. New York: Palgrave Macmillan US, 2013. http://dx.doi.org/10.1007/978-1-137-51038-9_7.

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Dutta Roy, Suhash Chandra. "Resonance." In Circuits, Systems and Signal Processing, 95–103. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-6919-2_11.

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Martin, Stephanie, and Olivia Darnley. "Resonance." In The Working Voice, 97–112. London: Routledge, 2024. http://dx.doi.org/10.4324/9781003361114-7.

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Burt, Stephen. "Resonance." In The Art of Listening in Coaching and Mentoring, 108–31. New York : Routledge, 2019.: Routledge, 2019. http://dx.doi.org/10.4324/9780429466458-7.

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Weik, Martin H. "resonance." In Computer Science and Communications Dictionary, 1480. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_16217.

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Conference papers on the topic "Resonance"

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Kuether, R. J., L. Renson, T. Detroux, C. Grappasonni, G. Kerschen, and M. S. Allen. "Prediction of Isolated Resonance Curves Using Nonlinear Normal Modes." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46301.

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Isolated resonance curves are separate from the main nonlinear forced-response branch, so they can easily be missed by a continuation algorithm and the resonant response might be underpredicted. The present work explores the connection between these isolated resonances and the nonlinear normal modes of the system and adapts an energy balance criterion to connect the two. This approach provides new insights into the occurrence of isolated resonances as well as a method to find an initial guess to compute the isolated resonance curve using numerical continuation. The concepts are illustrated on a finite element model of a cantilever beam with a nonlinear spring at its tip. This system presents jumps in both frequency and amplitude in its response to a swept sinusoidal excitation. The jumps are found to be the result of a modal interaction that creates an isolated resonance curve that eventually merges with the main resonance branch as the excitation force increases. Excellent insight into the observed dynamics is provided with the NNM theory, which supports that NNMs can also be a useful tool for predicting isolated resonance curves and other behaviors in the damped, forced response.
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Carvalho, Jean Paulo S., Rodolpho V. de Moraes, and Maria Lívia G. T. X. Costa. "Resonant Orbits due to Evection Resonance." In CNMAC 2022- XLI Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2022. http://dx.doi.org/10.5540/03.2022.009.01.0300.

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Jayaprakash, K. R., Yuli Starosvetsky, and Alexander F. Vakakis. "Resonance and Anti-Resonance Phenomenon in Granular Dimer Chains With No Pre-Compression." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47084.

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It is a well known fact that many interesting phenomena in the theory of waves in nonlinear lattices, e.g., the significant reduction of the amplitude of a propagating primary pulse or the essential growth of the phase velocity, may be explained in terms of various resonant mechanisms existing in the system (e.g. Frankel-Kontorova model). Recently, we have demonstrated analytically and numerically that similar resonant mechanisms also exist in periodically disordered granular chains with no pre-compression. Moreover, these mechanisms are responsible for the aforementioned phenomena of intensive pulse attenuation as well as speeding up of solitary waves in periodic granular chains. In our studies we have considered regular dimer chains consisting of pairs of ‘heavy’ and ‘light’ beads with no pre compression and with elastic Hertzian interaction between beads. A new family of solitary waves was discovered for these systems. These solitary waves may be considered analogous to the solitary wave of a homogeneous chain studied by Nesterenko [1], in the sense that they do not involve separations between beads, but rather satisfy special symmetries or, equivalently resonances in the dynamics. We show that these solitary waves arise from a countable infinity (we conjecture) of nonlinear anti-resonances in the dimer chains. Moreover, solitary waves in the dimers propagate faster than solitary waves in the homogeneous granular chain obtained in the limit of no mass mismatch (i.e., composed of only ‘heavy’ beads). This finding, which might seem to be counter intuitive, indicates that under certain conditions nonlinear anti-resonances can increase the speed of disturbance propagation in disordered granular media, by generating new ways of transferring energy to the far field in these media. Finally, we discuss a contrasting resonance mechanism that leads to the opposite effect, that is, very efficient shock attenuation in the dimer chain. Indeed, we show that under a certain nonlinear resonance condition a granular dimer chain can greatly reduce the amplitude of propagating pulses, through effective scattering of the energy of the pulse to higher frequencies and excitation of alternative intrinsic dynamics of the dimer. This resonance condition may be theoretically predicted and explained, and a very fair correspondence is observed between the analytical solutions and direct numerical simulations. From a practical point of view, these results can have interesting implications in applications where granular media are employed as shock transmitters or attenuators.
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Meinhold, Waiman, Efe Ozkaya, Jun Ueda, and Mehmet Kurt. "Tuneable Resonance Actuators for Magnetic Resonance Elastography." In 2019 Design of Medical Devices Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/dmd2019-3313.

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Palpation, or physical manipulation of tissue to assess mechanical properties is one of the most prevalent and valuable clinical evaluations. Because physical interaction is needed, historically palpation has been limited to easily accessible surface level tissues. Magnetic resonance elastography (MRE) combines non-invasive Magnetic Resonance Imaging (MRI) with mechanically induced shear waves, producing the ability to map elasticity of soft tissues in vivo. Actuator design has been a limiting factor in MRE advancements. In this study, a mechanical resonator with adjustable resonant frequency was designed to be used in MRE applications. The designed piezoelectric actuator was fully MRI compatible, and capable of dynamically adjusting its resonant frequency. The purpose was to keep the displacement amplitude sufficiently large over a wide actuation frequency range. The outer stage of the amplifier contained movable side masses for tuning resonance frequency.
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Pollack, Martin L., Brian J. Petersen, Benjamin S. H. Connell, David S. Greeley, and Dwight E. Davis. "Resonance Avoidance of Offshore Wind Turbines." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37039.

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Coincidence of structural resonances with wind turbine dynamic forces can lead to large amplitude stresses and subsequent accelerated fatigue. For this reason, the wind turbine system is designed to avoid resonance coincidence. In particular, the current practice is to design the wind turbine support structure such that its fundamental resonance does not coincide with the fundamental rotational and blade passing frequencies of the rotor. For offshore wind turbines, resonance avoidance is achieved by ensuring that the support structure fundamental resonant frequency lies in the frequency band between the rotor and blade passing frequencies over the operating range of the turbine. This strategy is referred to as “soft-stiff” and has major implications for the structural design of the wind turbine. This paper details the technical basis for the “soft-stiff” resonance avoidance design methodology, investigates potential vulnerabilities in this approach, and explores the sensitivity of the wind turbine structural response to different aspects of the system’s design. The assessment addresses the wind turbine forcing functions, the coupled dynamic responses and resonance characteristics of the wind turbine’s structural components, and the system’s susceptibility to fatigue failure. It is demonstrated that the design practices for offshore wind turbines should reflect the importance of aerodynamic damping for the suppression of deleterious vibrations, consider the possibility of foundation degradation and its influence on the support structure’s fatigue life, and include proper treatment of important ambient sources such as wave and gust loading. These insights inform potential vibration mitigation and resonance avoidance strategies, which are briefly discussed.
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Lukyanov, A. A. "Resonance Analysis in the Region of Unresolved Resonances." In INTERNATIONAL CONFERENCE ON NUCLEAR DATA FOR SCIENCE AND TECHNOLOGY. AIP, 2005. http://dx.doi.org/10.1063/1.1945035.

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Znider, Abdelghani, and D. Dane Quinn. "Frequency Shifting in Nonlinear Resonant Systems With Damping." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48444.

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The dynamical behavior of a three degree-of-freedom system is considered in the presences of a resonance between two modes with nonlinear coupling. One resonant frequency describes a translational oscillation and is a flxed quantity while the second characterizes an unbalanced rotational component and is allowed to slowly vary in time. When a system is attracted to a state of sustained resonance, the steady-state frequency of the sustained resonance shifts, depending on the parameter values of the system. As the applied torque increases, the resonant frequency shifts upward, approaching the natural frequency of the translational mode. If the applied torque is too large, the sustained resonance no longer exists and the system cannot be attracted to a long-term resonance motion. Likewise, increasing damping in the translational mode reduces the resonant frequency and the amplitude of the translational oscillations, as well as the critical torque for which sustained resonances exist. This frequency shifting, seen in both the simulations of the original system and verifled in a experimental system, is characterized through the analysis of a reduced-order model developed through the method of averaging.
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Haes, Amanda J., George C. Schatz, and Richard P. Van Duyne. "Resonant-enhanced localized surface plasmon resonance spectroscopy." In Optics East 2006, edited by Nibir K. Dhar, Achyut K. Dutta, and M. Saif Islam. SPIE, 2006. http://dx.doi.org/10.1117/12.690985.

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Mahlstedt, Janek, Felix Fischer, Lars Wein, and Joerg R. Seume. "Analytical Prediction of Acoustic Resonance in Labyrinth Seals." In ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/gt2023-103709.

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Abstract Labyrinth seals are an essential and widely used component of modern turbomachines and can contribute significantly to their efficiency. Their often complex geometry is intended to generate pressure losses to reduce leakage flow. Acoustic resonances can occur within the cavities used for this purpose, which, when combined with a matched source of excitation, can result in high noise emissions and vibration excitation of the mechanical components of the labyrinth seal. In this work, an analytical model is developed and validated with numerical data to predict the resonant frequencies of axial standing waves within the cavities for propagating acoustic modes. The model is based on a RANS simulation of the cavity flow and determines the axial characteristics of the acoustic modes propagating upstream and downstream at several axial positions. Two acoustic wave equations commonly used in turbomachinery applications are used to analytically estimate the sound propagation within the seal’s cavity. An overall axial wavelength across the cavity is estimated based on the wavenumbers determined at each axial position and a resonance condition is formulated to iterate the modal resonance frequency. This modeling approach is used to estimate the resonant frequency of an axial standing wave for different acoustic mode orders. Comparison of the models with numerical results in a generic labyrinth seal for three aerodynamic operating points shows a deviation between the analytically and numerically determined resonant frequency of approximately 0.68% on average with resonant frequencies occurring at Helmholtz numbers between 58.69 and 64.20 at Mach numbers of up to 0.4. Numerical setup studies regarding the influence of turbulence models, turbulent production limiters, and modeling of rotational effects on the turbulence in RANS simulations yielded in a deviation smaller than 1% of the numerically predicted resonance frequencies.
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Choudhary, Riya, and Sachin Kumar Srivastava. "Fano Resonances in Plasmonic Homo-Multimers: Expanding Spectroscopic Horizons through Geometrical Tunability." In Frontiers in Optics. Washington, D.C.: Optica Publishing Group, 2023. http://dx.doi.org/10.1364/fio.2023.jm7a.32.

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Here, we demonstrate the support for Fano resonances in plasmonic homo-multimers. Combined with a localized surface plasmon resonance (LSPR) in varying dielectric environments, this enables extremely sensitive tuning of the Fano resonance's amplitude.
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Reports on the topic "Resonance"

1

Collins, T. Resonances and resonance widths. Office of Scientific and Technical Information (OSTI), May 1986. http://dx.doi.org/10.2172/5466872.

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Collins, T. Resonance scraping. Office of Scientific and Technical Information (OSTI), June 1986. http://dx.doi.org/10.2172/5500058.

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Hahn, David H., and Kim HongYoun Hahn. Euclidean Resonance. Ames (Iowa): Iowa State University. Library, January 2019. http://dx.doi.org/10.31274/itaa.8341.

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4

Kevorkian, J. Nonlinear resonance. Office of Scientific and Technical Information (OSTI), April 1990. http://dx.doi.org/10.2172/6996969.

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Pitts, K. 0 Resonance. Office of Scientific and Technical Information (OSTI), June 2018. http://dx.doi.org/10.2172/1454120.

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Fleming, Michael, and Roberto Capote Noy. Actinide Evaluations in the Resonance Region. IAEA Nuclear Data Section, December 2020. http://dx.doi.org/10.61092/iaea.evmm-6qb7.

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A Consultants Meeting on the Resonance Parameters of Fissile Actinides of the International Nuclear Data Evaluation Network (INDEN) was held at the IAEA headquarters in Vienna from 21 to 24 October 2019. The meeting was a follow-up of the working group on evaluations in the resonance region of actinide nuclei. Special focus was on issues in the evaluation in the unresolved resonance region (URR). On-going evaluation work was discussed, and new experimental and evaluation projects targeted at improving the evaluations reviewed.
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Shriner, Jr, J. Protron resonance spectroscopy. Office of Scientific and Technical Information (OSTI), January 1990. http://dx.doi.org/10.2172/5074189.

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8

Aldrich, Susan. Certona Resonance Recommendations. Boston, MA: Patricia Seybold Group, September 2010. http://dx.doi.org/10.1571/pr09-30-10cc.

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9

Shriner, J. F. Jr. Proton resonance spectroscopy. Office of Scientific and Technical Information (OSTI), November 1991. http://dx.doi.org/10.2172/6094950.

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Young, J. P. (Resonance ionization spectroscopy). Office of Scientific and Technical Information (OSTI), October 1990. http://dx.doi.org/10.2172/6590114.

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