kozmoforum.hu • Téma megtekintése - Variációs elvek

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kozmoforum.hu • Téma megtekintése - Variációs elvek

Variációs elvek

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Variációs elvek

Szerző: juzer » 2016.04.04. 15:39

Kiváncsi voltam, hogy a rezgő húr klasszikus mechanikai megoldásánál a hatás hogy viselkedik.
Fogtam egy megoldást, aminek szerintem minimalizálnia kell: z0(t, x) = sin(x) cos(t), ahol a húr 0-tól PI-ig tart, a két vége rögzítve.
Megvariáltam a megoldást:
kis helyen különbözik csak nullától és a húr szélein nulla.

Ebbe beírtam z-t:

Az utolsó tag nulla, így:

Ha -be teszem ezt, akkor az -t tartlamazó tag előjele bármilyen lehet.

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Re: Variációs elvek

Szerző: dgy » 2016.04.04. 22:49

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Re: Variációs elvek

Szerző: juzer » 2016.04.05. 14:14

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Re: Variációs elvek

Szerző: juzer » 2016.04.06. 10:09

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Re: Variációs elvek

Szerző: dgy » 2016.04.06. 12:39

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