Natural frequency: Difference between revisions
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<div class="definition"><div class="short_definition">( | <div class="definition"><div class="short_definition">(''Also called'' characteristic frequency.) Any [[frequency]] of small-amplitude [[oscillation]] for a system with a position of stable [[equilibrium]] and in the absence of external forces.</div><br/> <div class="paragraph">One must be careful about what is meant by "external forces." A simple pendulum of length ''h'', when disturbed slightly from its equilibrium position, oscillates with natural (circular) frequency <div class="display-formula"><blockquote>[[File:ams2001glos-Ne1.gif|link=|center|ams2001glos-Ne1]]</blockquote></div> where ''g'' is the [[acceleration]] due to [[gravity]]. Yet this oscillation requires an external force, namely, gravity. In general, a mechanical system with a position of stable equilibrium has a set of distinct natural frequencies, one for each degree of freedom.</div><br/> </div> | ||
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Latest revision as of 14:44, 20 February 2012
natural frequency
(Also called characteristic frequency.) Any frequency of small-amplitude oscillation for a system with a position of stable equilibrium and in the absence of external forces.
One must be careful about what is meant by "external forces." A simple pendulum of length h, when disturbed slightly from its equilibrium position, oscillates with natural (circular) frequency where g is the acceleration due to gravity. Yet this oscillation requires an external force, namely, gravity. In general, a mechanical system with a position of stable equilibrium has a set of distinct natural frequencies, one for each degree of freedom.
