AskDefine | Define vibrating

Dictionary Definition

vibrating adj : moving very rapidly to and fro or up and down; "the vibrating piano strings" [syn: vibratory]

User Contributed Dictionary

English

Pronunciation

Verb

vibrating
  1. present participle of vibrate

Extensive Definition

''For other uses, see oscillator (disambiguation)
Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples include a swinging pendulum and AC power. The term vibration is sometimes used more narrowly to mean a mechanical oscillation but sometimes is used to be synonymous with "oscillation." Oscillations occur not only in physical systems but also in biological systems and in human society.

Simplicity

The simplest mechanical oscillating system is a mass attached to a linear spring, subject to no other forces; except for the point of equilibrium, this system is equivalent to the same one subject to a constant force such as gravity. Such a system may be approximated on an air table or ice surface. The system is in an equilibrium state when the spring is unstretched. If the system is displaced from the equilibrium, there is a net restoring force on the mass, tending to bring it back to equilibrium. However, in moving the mass back to the equilibrium position, it has acquired momentum which keeps it moving beyond that position, establishing a new restoring force in the opposite sense. The time taken for an oscillation to occur is often referred to as the oscillatory period.
The specific dynamics of this spring-mass system are described mathematically by the simple harmonic oscillator and the regular periodic motion is known as simple harmonic motion. In the spring-mass system, oscillations occur because, at the static equilibrium displacement, the mass has kinetic energy which is converted into potential energy stored in the spring at the extremes of its path. The spring-mass system illustrates some common features of oscillation, namely the existence of an equilibrium and the presence of a restoring force which grows stronger the further the system deviates from equilibrium.
The harmonic oscillator offers a model of many more complicated types of oscillation and can be extended by the use of Fourier analysis.

Damped, driven and self-induced oscillations

In real-world systems, the second law of thermodynamics dictates that there is some continual and inevitable conversion of energy into the thermal energy of the environment. Thus, damped oscillations tend to decay with time unless there is some net source of energy in the system. The simplest description of this decay process can be illustrated by the harmonic oscillator. In addition, an oscillating system may be subject to some external force (often sinusoidal), as when an AC circuit is connected to an outside power source. In this case the oscillation is said to be driven.
Some systems can be excited by energy transfer from the environment. This transfer typically occurs where systems are embedded in some fluid flow. For example, the phenomenon of flutter in aerodynamics occurs when an arbitrarily small displacement of an aircraft wing (from its equilibrium) results in an increase in the angle of attack of the wing on the air flow and a consequential increase in lift coefficient, leading to a still greater displacement. At sufficiently large displacements, the stiffness of the wing dominates to provide the restoring force that enables an oscillation.

Coupled oscillations

The harmonic oscillator and the systems it models have a single degree of freedom. More complicated systems have more degrees of freedom, for example two masses and three springs (each mass being attached to fixed points and to each other). In such cases, the behavior of each variable influences that of the others. This leads to a coupling of the oscillations of the individual degrees of freedom. For example, two pendulum clocks mounted on a common wall will tend to synchronise. The apparent motions of the individual oscillations typically appears very complicated but a more economic, computationally simpler and conceptually deeper description is given by resolving the motion into normal modes.

Continuous systems - waves

As the number of degrees of freedom becomes arbitrarily large, a system approaches continuity; examples include a string or the surface of a body of water. Such systems have (in the classical limit) an infinite number of normal modes and their oscillations occur in the form of waves that can characteristically propagate.

Examples

Optical

Economic and social

See also

External links

vibrating in Bosnian: Oscilovanje
vibrating in Catalan: Oscil·lació
vibrating in Czech: Kmitání
vibrating in Danish: Oscillator
vibrating in German: Schwingung
vibrating in Estonian: Võnkumine
vibrating in Modern Greek (1453-): Ταλάντωση
vibrating in Spanish: Oscilación
vibrating in Persian: نوسان
vibrating in French: Oscillation
vibrating in Korean: 진동
vibrating in Croatian: Titranje
vibrating in Ido: Ocilo
vibrating in Indonesian: Osilasi
vibrating in Italian: Oscillazione
vibrating in Hebrew: תנודה
vibrating in Latvian: Svārstības
vibrating in Malay (macrolanguage): Ayunan
vibrating in Dutch: Trilling
vibrating in Japanese: 振動 (物理現象)
vibrating in Norwegian: Oscillasjon
vibrating in Polish: Drgania
vibrating in Portuguese: Vibração
vibrating in Romanian: Oscilaţie
vibrating in Russian: Колебания
vibrating in Russian: Виброизоляция
vibrating in Simple English: Oscillator
vibrating in Slovak: Vibrácia
vibrating in Finnish: Oskillaattori
vibrating in Swedish: Oscillation
vibrating in Vietnamese: Dao động
vibrating in Ukrainian: Коливання
vibrating in Chinese: 振动

Synonyms, Antonyms and Related Words

Privacy Policy, About Us, Terms and Conditions, Contact Us
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2
Material from Wikipedia, Wiktionary, Dict
Valid HTML 4.01 Strict, Valid CSS Level 2.1