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Area Control technology / Behaviour and characteristics of transfer elements

IEV ref 351-45-31

Symbol
r(t)

en
unit-ramp response
quotient ramp response Δvρ(t) divided by the ramp slope Kρ of the ramp function, the quotient described by

r( t )= 1 K ρ Δ v ρ ( t ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadkhadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiaaigdaaeaacaWGlbWaaSbaaSqaaiaabg8aaeqaaaaakiabgwSixJWaaiab=r5aejaadAhadaWgaaWcbaGaaeyWdaqabaGcdaqadaqaaiaadshaaiaawIcacaGLPaaaaaa@4596@

Note 1 to entry: The unit-ramp response may be calculated from the unit-step response by

r( t )= t h( τ ) dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadkhadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWdXbqaaiaadIgadaqadaqaaiabes8a0bGaayjkaiaawMcaaaWcbaGaeyOeI0IaeyOhIukabaGaamiDaaqdcqGHRiI8aOGaaeizaiabes8a0baa@4680@ .

Note 2 to entry: The unit-ramp response of a system mathematically may be considered to result from application of a unit ramp to an input variable.


fr
réponse unitaire de la rampe, f
quotient de la réponse de rampe Δvρ(t) divisé par la pente de rampe Kρ de la fonction en rampe, le quotient étant décrit par

r( t )= 1 K ρ Δ v ρ ( t ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadkhadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiaaigdaaeaacaWGlbWaaSbaaSqaaiaabg8aaeqaaaaakiabgwSixJWaaiab=r5aejaadAhadaWgaaWcbaGaaeyWdaqabaGcdaqadaqaaiaadshaaiaawIcacaGLPaaaaaa@4596@

Note 1 à l’article: La réponse unitaire de la rampe peut être calculée à partir de la réponse unitaire à un échelon avec l’équation suivante

r( t )= t h( τ ) dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadkhadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWdXbqaaiaadIgadaqadaqaaiabes8a0bGaayjkaiaawMcaaaWcbaGaeyOeI0IaeyOhIukabaGaamiDaaqdcqGHRiI8aOGaaeizaiabes8a0baa@4680@ .

Note 2 à l’article: La réponse unitaire de la rampe d’un système peut mathématiquement être considérée comme le résultat de l’application d’une rampe unitaire à une variable d’entrée.


ar
إستجابة انحدار أحادى

cs
odezva na jednotkovou rampu

de
Einheitsanstiegsantwort, f
bezogene Anstiegsantwort, f

es
respuesta a rampa unitaria, f

fi
yksikkörampin vaste
yksikköpenkereen vaste

it
risposta alla rampa unitaria

ko
단위경사 응답
단위램프 응답

ja
単位ランプ応答

pl
odpowiedź na nachylenie jednostkowe

pt
resposta a uma rampa unitária

zh
单位斜坡响应

Publication date: 2013-11
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