Natural frequency

From Glossary of Meteorology



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
ams2001glos-Ne1
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.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.