irrotational vibrations - определение. Что такое irrotational vibrations
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Что (кто) такое irrotational vibrations - определение

CONCEPT IN VECTOR CALCULUS
Irrotational; Irrotational field; Gradient field; Potential vector field; Conservative field; Curl free field; Curl-free vector field; Irrotational vector field; Irrotational flow; Irrotational Flow
  •  '''E''', electric field strength
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  • The above vector field <math>\mathbf{v} = \left( - \frac{y}{x^2 + y^2},\frac{x}{x^2 + y^2},0 \right)</math> defined on <math>U = \R^3 \setminus \{ (0,0,z) \mid z \in \R \}</math>, i.e., <math>\R^3</math> with removing all coordinates on the <math>z</math>-axis (so not a simply connected space), has zero curl in <math>U</math> and is thus irrotational. However, it is not conservative and does not have path independence.
  • Line integral paths used to prove the following statement: if the line integral of a vector field is path-independent, then the vector field is a conservative vector field.
  • Depiction of two possible paths to integrate. In green is the simplest possible path; blue shows a more convoluted curve

Seismic noise         
GENERIC NAME FOR A RELATIVELY PERSISTENT VIBRATION OF THE GROUND
Ambient vibration; Ambient Vibrations; Ambient vibrations; 26-second pulse
In geophysics, geology, civil engineering, and related disciplines, seismic noise is a generic name for a relatively persistent vibration of the ground, due to a multitude of causes, that is often a non-interpretable or unwanted component of signals recorded by seismometers.
Laplace equation for irrotational flow         
DIFFERENTIAL EQUATION IN FLUID MECHANICS
Laplace’s equation for irrotational flow
Irrotational flow occurs where the curl of the velocity of the fluid is zero everywhere. That is when
Ricky Owens         
AMERICAN SOUL GROUP
The Vibrating Vibrations; Ricky Owens; The Marathons; The Jay Hawks; The Jayhawks (doo wop)
Ricky Owens (born Richard Edgar Owens in St. Louis, Missouri) (April 24, 1939 - December 6, 1996) was an American R&B and soul singer better known as the first tenor and lead singer of the doo-wop/R&B group The Vibrations and, briefly, as member of The Temptations, the first replacement of original Temptations founding member Eddie Kendricks.

Википедия

Conservative vector field

In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property that its line integral is path independent; the choice of any path between two points does not change the value of the line integral. Path independence of the line integral is equivalent to the vector field under the line integral being conservative. A conservative vector field is also irrotational; in three dimensions, this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that the domain is simply connected.

Conservative vector fields appear naturally in mechanics: They are vector fields representing forces of physical systems in which energy is conserved. For a conservative system, the work done in moving along a path in a configuration space depends on only the endpoints of the path, so it is possible to define potential energy that is independent of the actual path taken.