Academic literature on the topic 'Rotating singular interactions'

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Journal articles on the topic "Rotating singular interactions"

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SUTYRIN, GEORGI G., JAMES C. McWILLIAMS, and R. SARAVANAN. "Co-rotating stationary states and vertical alignment of geostrophic vortices with thin cores." Journal of Fluid Mechanics 357 (February 25, 1998): 321–49. http://dx.doi.org/10.1017/s0022112097008136.

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We investigate the evolution of nearby like-sign vortices whose centres are at different vertical levels in a stably stratified rotating fluid. We employ two differently singularized representations of the potential vorticity distribution in the quasi-geostrophic equations (QG), in order to elucidate the pair-interaction behaviour previously seen in non-singular QG numerical solutions. The first is an analytically tractable conservative (Hamiltonian) elliptical-moment model (EM) for thin-core vortices, which exhibits a regime of very strong horizontal elongation of a vortex in response to the
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Luo, Songrong, Junsheng Cheng, and Kexiang Wei. "A Fault Diagnosis Model Based on LCD-SVD-ANN-MIV and VPMCD for Rotating Machinery." Shock and Vibration 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/5141564.

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The fault diagnosis process is essentially a class discrimination problem. However, traditional class discrimination methods such as SVM and ANN fail to capitalize the interactions among the feature variables. Variable predictive model-based class discrimination (VPMCD) can adequately use the interactions. But the feature extraction and selection will greatly affect the accuracy and stability of VPMCD classifier. Aiming at the nonstationary characteristics of vibration signal from rotating machinery with local fault, singular value decomposition (SVD) technique based local characteristic-scale
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Achatz, Ulrich. "Modal and Nonmodal Perturbations of Monochromatic High-Frequency Gravity Waves: Primary Nonlinear Dynamics." Journal of the Atmospheric Sciences 64, no. 6 (2007): 1977–94. http://dx.doi.org/10.1175/jas3940.1.

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The primary nonlinear dynamics of high-frequency gravity waves (HGWs) perturbed by their most prominent normal modes (NMs) or singular vectors (SVs) in a rotating Boussinesq fluid have been studied by direct numerical simulations (DNSs), with wave scales and values of viscosity and diffusivity characteristic for the upper mesosphere. The DNS is 2.5D in that it has only two spatial dimensions, defined by the direction of propagation of the HGW and the direction of propagation of the perturbation in the plane orthogonal to the HGW phase direction, but describes a fully 3D velocity field. Many re
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Lott, François, Riwal Plougonven, and Jacques Vanneste. "Gravity Waves Generated by Sheared Potential Vorticity Anomalies." Journal of the Atmospheric Sciences 67, no. 1 (2010): 157–70. http://dx.doi.org/10.1175/2009jas3134.1.

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Abstract The gravity waves (GWs) generated by potential vorticity (PV) anomalies in a rotating stratified shear flow are examined under the assumptions of constant vertical shear, two-dimensionality, and unbounded domain. Near a PV anomaly, the associated perturbation is well modeled by quasigeostrophic theory. This is not the case at large vertical distances, however, and in particular beyond the two inertial layers that appear above and below the anomaly; there, the perturbation consists of vertically propagating gravity waves. This structure is described analytically, using an expansion in
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Caillol, Philippe. "A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions." Journal of Fluid Mechanics 873 (June 27, 2019): 688–741. http://dx.doi.org/10.1017/jfm.2019.374.

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This paper considers a free vorticity wave packet propagating within a rapidly rotating vortex in the quasi-steady regime, a long time after the wave packet strongly and unsteadily interacted with the vortex. We study a singular, nonlinear, helical and asymmetric shear mode inside a linearly stable, columnar and axisymmetric vortex on the $f$-plane. The amplitude-modulated mode enters resonance with the vortex at a certain radius $r_{c}$, where the phase angular speed is equal to the rotation frequency. The singularity in the modal equation at $r_{c}$ strongly modifies the flow in the three-di
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Pan, Xiao-Yin, Yin Chen, Yu-Qi Li, Aaron G. Kogan, and Juhao Wu. "On the gauge transformation for the rotation of the singular string in the Dirac monopole theory." International Journal of Modern Physics A 36, no. 03 (2021): 2150019. http://dx.doi.org/10.1142/s0217751x21500196.

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In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along a certain direction — the so-called Dirac string. Imposing the famous quantization condition, the singular string attached to the monopole can be rotated arbitrarily by a gauge transformation, and hence is not physically observable. By deriving its analytical expression and analyzing its properties, we show that the gauge function [Formula: see text] which rotates the string to another one is a smooth function everywhere in
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Sakajo, Takashi. "Vortex crystals on the surface of a torus." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2158 (2019): 20180344. http://dx.doi.org/10.1098/rsta.2018.0344.

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Vortex crystals are equilibrium states of point vortices whose relative configuration is unchanged throughout the evolution. They are examples of stationary point configurations subject to a logarithmic particle interaction energy, which give rise to phenomenological models of pattern formations in incompressible fluids, superconductors, superfluids and Bose–Einstein condensates. In this paper, we consider vortex crystals rotating at a constant speed in the latitudinal direction on the surface of a torus. The problem of finding vortex crystals is formulated as a linear null equation A Γ = 0 fo
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Zhao, Le, Shaopu Yang, and Yongqiang Liu. "Weak Fault Feature Extraction of Axle Box Bearing Based on Pre-Identification and Singular Value Decomposition." Machines 10, no. 12 (2022): 1213. http://dx.doi.org/10.3390/machines10121213.

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The axle box bearing is one of the core rotating components in high-speed trains, having served in complex working conditions for a long time. With the fault feature extraction of the vibration signal, the noise interference caused by the interaction between the wheels and rails becomes apparent. Especially when there is a shortwave defect in the rail, the interaction between wheels and rails will produce high-amplitude impulse interference. To solve the problem of the collected vibration signals of axle box bearings containing strong noise interference and high amplitude impact interference c
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Lonigro, Davide. "Generalized spin-boson models with non-normalizable form factors." Journal of Mathematical Physics 63, no. 7 (2022): 072105. http://dx.doi.org/10.1063/5.0085576.

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Generalized spin-boson (GSB) models describe the interaction between a quantum mechanical system and a structured boson environment, mediated by a family of coupling functions known as form factors. We propose an extension of the class of GSB models, which can accommodate non-normalizable form factors provided that they satisfy a weaker growth constraint, thus accounting for a rigorous description of a wider range of physical scenarios; we also show that such “singular” GSB models can be rigorously approximated by GSB models with normalizable form factors. Furthermore, we discuss in greater de
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Samelson, R. M. "Lyapunov, Floquet, and singular vectors for baroclinic waves." Nonlinear Processes in Geophysics 8, no. 6 (2001): 439–48. http://dx.doi.org/10.5194/npg-8-439-2001.

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Abstract. The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to a partial differential equation for the zonal flow correction. The leading Lyapunov vector is nearly parallel to the leading Floquet vector f1 of the lowest-order unstable periodic orbit over most of the attractor. Departures of the Lyapunov vector from this orientation are primarily rotations of the vector in an approximate tangent plan
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Dissertations / Theses on the topic "Rotating singular interactions"

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Correggi, Michele. "Time-dependent singular interactions." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4249.

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Conference papers on the topic "Rotating singular interactions"

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Quinn, D. Dane, Curtis B. Clemons, and Kevin M. Dempsey. "The Singular Nature of Rotating Circular Rings With Symmetry." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0071.

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Abstract We study the S𝒪(2) symmetric deformation of circular rings. The equations of motion are based on general partial differential equations governing the elastodynamics of geometrically exact rings, which have been formulated by Dempsey [2], based on the work of Libai and Simmonds [6]. Thus, the formulation is valid for arbitrary pressure forcing, large deformations, and finite strains, although the results are tempered by a linear constitutive relation and an assumption of plane strain. With the assumption that the deformation retains S𝒪(2) symmetry, the partial differential equations ar
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Yang, Wei, Shuhong Liu, and Yulin Wu. "Application of CFD in the Design of Contra-Rotating Kaplan Turbine." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98119.

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A new type turbine which can be called contra-rotating Kaplan turbine has been designed in this paper. This new turbine, which can make power on both directions of the water flow, is mainly used in tidal power station. In this paper we discuss the feasibility of the new turbine by analyzing the velocity triangle of the inlet and outlet of the runner. According to this, we advance that two group of “S” type blades must be used to constitute the contra-rotating runner. Method of singular point distribution is used to design front-runner and rear runner based on the triangle velocity. Then the CF
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Georgiou, Ioannis T. "Experimental Investigation With Wireless Sensors of the Nonlinear Interaction Between Rotational Motions and Torsional Vibrations in a Coupled Rigid Rotor-Flexible Rotor System." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12813.

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This work presents an experimental study focused on a challenging signal interpretation issue arising in using wireless tri-axial sensors to measure acceleration components in rotating flexible rotor systems. Experiments with state of-the-art (modern technology microsystems) wireless accelerometers reveal that the dynamics of a rotating and-at the same time torsionally vibrating-flexible rotor system is perceived by the rotating sensor as a fast amplitude modulation of a slowly varying vibration. It is observed that the typical signal furnished by the rotating sensor consists of two distinct z
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Shabana, A. A., J. H. Choi, and H. C. Lee. "Nonlinear Dynamics and Vibrations of Three Dimensional Multibody Tracked Vehicles." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1186.

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Abstract A three dimensional model that includes significant details is developed for the nonlinear dynamic analysis of large scale multi-body tracked vehicle systems. In this model, the joint articulations of the track chains are taken into consideration so as to allow the developement of a computational procedure for the analysis of the vibrations and the contact forces of the multibody tracked vehicles. The three dimensional vehicle system is assumed to consist of three kinematically decoupled subsystems which include the chassis subsystem, and two track subsystems. A recursive approach for
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