IEC 60050 - International Electrotechnical Vocabulary


IEVref:	113-03-76		ID:
Language:	en		Status: Standard

Term:	Lagrange function
Synonym1:
Synonym2:
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Symbol:	L
Definition:	difference of kinetic energy $T (q_{i}, {\dot{q}}_{i})$ and potential energy V(q_i), where q_i is a generalized coordinate and ${\dot{q}}_{i}$ is a generalized velocity, thus $L (q_{i}, {\dot{q}}_{i}) = T (q_{i}, {\dot{q}}_{i}) - V (q_{i})$ NOTE 1 The potential energy V(q_i) can be generalized to dynamic potential $V (q_{i}, {\dot{q}}_{i})$ . NOTE 2 The coherent SI unit of Lagrange function is joule, J.
Publication date:	2011-04
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Internal notes:	2017-06-02: Cleanup - Remove Attached Image 113-03-76en.gif
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T( q i , q ˙ i ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaaaa@408F@ Vqiq_i q ˙ i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiqadghagaGaamaaBa aaleaacaWGPbaabeaaaaa@3AE6@ L( q i , q ˙ i )=T( q i , q ˙ i )−V( q i ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadYeacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaiabg2da9iaadsfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiaacYcacaqGGaGabmyCayaacaWa aSbaaSqaaiaadMgaaeqaaOGaaiykaiabgkHiTiaadAfacaGGOaGaam yCamaaBaaaleaacaWGPbaabeaakiac+aOGPaaaaa@4F50@ NOTE 1 The potential energy V(q_i) can be generalized to dynamic potential

V (q_{i}, {\dot{q}}_{i})

. NOTE 2 The coherent SI unit of Lagrange function is joule, J.