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Galīgo elementu metode

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4.3.<br />

TRĪSSTŪRA GALĪGAIS ELEMENTS 61<br />

1<br />

1<br />

N 1 N 3<br />

1<br />

ξ =0<br />

ξ =1<br />

η =0<br />

1<br />

3<br />

3<br />

ξ =0<br />

η =0<br />

ξ =1<br />

N 1 pie (x, y)<br />

2<br />

η =1<br />

η =1<br />

2<br />

Zīmējums 4.5: Elementa formas funkcijas N 1 un N 3<br />

un A 3 . Formas funkcijas var izteikt caur šiem laukumiem<br />

N 1 = ξ = A 1<br />

A , N 2 = η = A 2<br />

A , N 3 =1− ξ − η A 3<br />

A<br />

(4.12)<br />

Ir acīmredzami, ka<br />

N 1 + N 2 + N 3 = 1 (4.13)<br />

η =0<br />

3<br />

A 1 + A 2 + A 3 =1<br />

A 1<br />

A 2<br />

A 3<br />

(x, y)<br />

η =1<br />

1<br />

ξ =1<br />

2<br />

ξ =0<br />

Zīmējums 4.6: Laukuma koordinātes

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