http://en.wikipedia.org/wiki/Natural_frequency 1/2

NaturalfrequencyFromWikipedia,thefreeencyclopedia

Naturalfrequencyisthefrequencyatwhichasystemtendstooscillateintheabsenceofanydrivingordampingforce.[1]

Freevibrationsofanyelasticbodyiscallednaturalvibrationandhappensatafrequencycallednaturalfrequency.Naturalvibrationsaredifferentfromforcedvibrationwhichhappenatfrequencyofappliedforce(forcedfrequency).Ifforcedfrequencyisequaltothenaturalfrequency,theamplitudeofvibrationincreasesmanifold.Thisphenomenonisknownasresonance.[2]

Inelectricalcircuits,s1isanaturalfrequencyofvariablex,ifthezeroinputresponseofxincludesthetermwhere isaconstantdependentoninitialstateofthecircuit,networktopology,andelement

values.[3]Inanetwork,skisanaturalfrequencyofthenetworkifitisanaturalfrequencyofsomevoltageor

currentinthenetwork.[4]Naturalfrequenciesdependonlyonnetworktopologyandelementvaluesbutnottheinput.[5]Itcanbeshownthatthesetofnaturalfrequenciesinanetworkcanbeobtainedbycalculatingthepolesofallimpedanceandadmittancefunctionsofthenetwork.[6]Allpolesofthenetworktransferfunctionarealsonaturalfrequenciesofthecorrespondingresponsevariable,howevertheremayexistsomenaturalfrequenciesthatarenotapoleofthenetworkfunction,thesefrequencieshappenatsomespecialinitialstates.[7]

InLCandRLCcircuits,naturalfrequencyofcircuitcanbecalculatedas:[8]

Seealso

Fundamentalfrequency

References

Bhatt,P.MaximumMarksMaximumKnowledgeinPhysics(http://books.google.com/books?id=eyFw4unYnhAC&pg=PA122).AlliedPublishers.ISBN9788184244441.Retrieved20140110.College,O.S.(2012).CollegePhysics(http://books.google.com/books?id=pYpPAgAAQBAJ&pg=PA569).Retrieved20140110.BasicPhysics(http://books.google.com/books?id=oS_vSI3yuwC&pg=PA366).PrenticeHallOfIndia

1. ^College2012,p.569.2. ^Bhatt,p.122.3. ^Desoer1969,p.583584.4. ^Desoer1969,p.600.5. ^Desoer1969,p.633.6. ^Desoer1969,p.635.7. ^Desoer1969,p.643.8. ^BasicPhysics2009,p.366.

http://en.wikipedia.org/wiki/Natural_frequency 2/2

Pvt.Limited.2009.ISBN9788120337084.Retrieved20140110.Desoer,Charles(1969).Basiccircuittheory.McGrawHill.ISBN0070165750.

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