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IEVref:351-45-19ID:
Language:enStatus: Standard
Term: damping ratio
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Definition: for a linear time-invariant system described by the second order differential equation

d 2 x d t 2 +2ϑ ω 0 dx dt + ω 0 2 x=0 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaamaalaaabaGaaeizamaaCaaaleqabaGaaGOmaaaakiaadIhaaeaacaqGKbGaamiDamaaCaaaleqabaGaaGOmaaaaaaGccqGHRaWkcaaIYaGaeyyXICTaeqy0dOKaeyyXICTaeqyYdC3aaSbaaSqaaiaaicdaaeqaaOGaeyyXIC9aaSaaaeaacaqGKbGaamiEaaqaaiaabsgacaWG0baaaiabgUcaRiabeM8a3naaDaaaleaacaaIWaaabaGaaGOmaaaakiabgwSixlaadIhacqGH9aqpcaaIWaaaaa@5522@

the value of the coefficient ϑ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiabeg9akbaa@36F8@ ,

where

tis the time;
xis a state variable of the system;
ω0is the characteristic angular frequency of the system

Note 1 to entry: When ϑ<1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiabeg9akjabgYda8i aaigdaaaa@38B9@ , ω d = ω 0 1 ϑ 2 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiabeM8a3naaBaaaleaacaqGKbaabeaakiabg2da9iabeM8a3naaBaaaleaacaaIWaaabeaakiabgwSixpaakaaabaGaaGymaiabgkHiTiabeg9aknaaCaaaleqabaGaaGOmaaaaaeqaaaaa@4290@ is the eigen angular frequency of the system.

Note 2 to entry: This entry was numbered 351-24-18 in IEC 60050-351:2006.


Publication date:2013-11
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