mode propre inertiel
English translation: inertial natural mode (or natural mode of inertia)
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| 08:25 Jul 27, 2018 |
| French to English translations [PRO] Science - Physics / physics of fluids | |||||||
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|  Selected response from: Johannes Gleim Local time: 15:40 | ||||||
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| 4 +1 | inertial (normal) mode |
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| 3 | inertial natural mode (or natural mode of inertia) |
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| Discussion entries: 1 | |
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Answers
1 day 2 hrs confidence: 
peer agreement (net): +1
peer agreement (net): +1inertial (normal) mode Explanation: This doesn't seem to be a common expression. 'Un mode inertiel' should be the same thing. http://adsabs.harvard.edu/abs/2016EGUGA..1818367W The mean flow generation mechanism by nonlinearity of the inertial normal modes and inertial wave beams in a rotating annular cavity with longitudinally librating walls in stable regime is discussed. Inertial normal modes (standing waves) are excited when libration frequency matches eigenfrequencies of the system. Inertial wave beams are produced by Ekman pumping and suction in a rotating cylinder and form periodic orbits or periodic ray trajectories at selected frequencies. https://en.wikipedia.org/wiki/Normal_mode A normal mode of an oscillating system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at the fixed frequencies. These fixed frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies. ... In physics and engineering, for a dynamical system according to wave theory, a mode is a standing wave state of excitation, in which all the components of the system will be affected sinusoidally under a specified fixed frequency. https://en.wikipedia.org/wiki/Inertial_wave In free space, an inertial wave can exist at any frequency between 0 and twice the rotation rate. A closed container, however, can impose restrictions on the possible frequencies of inertial waves, as it can for any kind of wave. Inertial waves in a closed container are often called inertial modes. In a sphere, for example, the inertial modes are forced to take on discrete frequencies, leaving gaps where no modes can exist. http://www.fast.u-psud.fr/~morize/papers/mllt_cfm09.pdf Suivant une récente analyse théorique et numérique de Tilgner (Phys. Rev. Lett., 99, 2007), nous observons pour la première fois expérimentalement que l’auto-intéraction non-linéaire d’un mode inertiel avec lui-même peut conduire à un écoulement axisymétrique intense dans une sphère en rotation sous forme de zones de cisaillement. ___ Following a recent theoretical and numerical analysis of Tilgner (2007), we present the first experimental evidence that the nonlinear self-interaction of a tidally forced inertial mode can drive an intense axisymmetric flow in a rotating sphere. https://www.researchgate.net/publication/238365399_Inertial_... Using the simple model of an incompressible fluid, we have computed the eigenfrequencies of the lowest-order inertial modes (azimuthal wavenumber m = 0,1,2) in a spherical shell with the same aspect ratio as the liquid core of the Earth. The computed eigenfunctions show that all inertial modes have strong oscillating shear layers. For the very low Ekman number appropriate to the core, these layers might be the origin of some small-scale turbulence through shear instabilities. |
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11 hrs confidence:
inertial natural mode (or natural mode of inertia) Explanation: Obviously the source is already (automatically) translated from German to French as "Eigen..." is German. Therfore I looked for similar physical terms in German like "Eigenfrequenz": Area Oscillations, signals and related devices / Frequencies IEV ref702-01-07 en natural frequency any frequency at which free oscillation can exist in a physical system when the excitation has been removed fr fréquence propre, f fréquence à laquelle peut subsister une oscillation libre dans un système physique lorsque l'apport d'énergie extérieure a cessé de Eigenfrequenz, f http://www.electropedia.org/iev/iev.nsf/display?openform&iev... The same principle can be applied to other German terms as well. -------------------------------------------------- Note added at 165 days (2019-01-08 09:18:02 GMT) Post-grading -------------------------------------------------- Note: The synonym "Normalmode" is translated to English and German by "normal mode" and "mode normal" respectively: Die Eigenmoden oder Normalmoden eines schwingfähigen Systems bilden eine diskrete Basis aller Bewegungen, die ein ungedämpftes und frei schwingendes System in harmonischer Näherung ausführen kann. Sie ergeben sich aus den Bewegungsgleichungen des Systems als Eigenvektoren dieses Gleichungssystems. Die Frequenzen der Eigenmoden werden die Eigenfrequenzen des Systems genannt, sie sind die Eigenwerte des Systems der Bewegungsgleichungen. Die Anzahl der Eigenmoden eines solchen Systems steht in Verbindung zu dessen Freiheitsgraden: Das System kann maximal so viele Eigenfrequenzen wie Freiheitsgrade besitzen und besitzt genau so viele linear unabhängige Eigenmoden wie Freiheitsgrade. https://de.wikipedia.org/wiki/Eigenmode A normal mode of an oscillating system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at the fixed frequencies. These fixed frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies. A physical object, such as a building, bridge, or molecule, has a set of normal modes and their natural frequencies that depend on its structure, materials and boundary conditions. The most general motion of a system is a superposition of its normal modes. The modes are normal in the sense that they can move independently, that is to say that an excitation of one mode will never cause motion of a different mode. In mathematical terms, normal modes are orthogonal to each other. https://en.wikipedia.org/wiki/Normal_mode Pour un système oscillatoire à plusieurs degrés de liberté, un mode normal ou mode propre d'oscillation est une forme spatiale selon laquelle un système excitable (micro ou macroscopique) peut osciller après avoir été perturbé au voisinage de son état d'équilibre stableR 1 ; une fréquence naturelle de vibration est alors associée à cette forme. Tout objet physique, comme une corde vibrante, un pont, un bâtiment ou encore une molécule possède un certain nombre, parfois infini, de modes normaux de vibration qui dépendent de sa structure, de ses constituants ainsi que des conditions aux limites qui lui sont imposées. Le nombre de modes normaux est égal à celui des degrés de liberté du système. Le mouvement le plus général d'un système est une superposition de modes normaux. Le terme "normal" indique que chacun de ces modes peut vibrer indépendamment des autres, c'est-à-dire que l'excitation du système dans un mode donné ne provoquera pas l'excitation des autres modes https://fr.wikipedia.org/wiki/Mode_normal |
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