Télécharger (10Mb) - Dépôt UQTR - Université du Québec à Trois ...

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22.10.2013 Views

ou, plus succinctement, avec (ni cos e i - nj cos ej Xn j cos ej + nk cos ek Xn j cos ei + ni cos ej Xn k cos ej + nj cos ek ) (n j cos ej + nj COsej Xn j cos ej + n k COsek Xn} Cosej + nj case} Xn k case} + n} Cosek) (n} cos e} - nk cos ek Xn j cos ej + n} cos e} Xn} cos ej + nj cos e} Xn k cos e} + n j cos ek) J ( + (n j cosej - nj cose} Xn} cosej -nj cose} Xn k cose} - n} cosek Xn j cosej + nk cosek) _ + e 'r (n j COS ej + n} CaSe} Xn} COS ej + nk cosek Xn} cosej + nj cosej Xn k COS ej + n} cosek) + (n j cosej + n} cosej Xn} cosej - nk cosek Xn} COS ej - nj case} Xn k cose} - n} cosek) e- 2jr (nj COS ej + n} case} Xn} COS e} + nk COs ek Xn} COS ej + nj COS ej Xn k COS e} + n j COS ek) o{y) = Dl + 02e-jr + 03e-2jr (n j cosej -nj cosejXn} cosej +nj cosejXn} case} +nk cOSekXnk case} +n} cosek) Dl = (n j COS ej + nj COS ej Xn j COS ej + ni COS ej Xn j COS ej + n k COS e k Xn k COS ej + nj COS e k ) [ (nj COSej + n} cosBJnj cosBj + nj COS e} Xn} case} - n k cose k Xn k cosej + nj cos Bk ) ] + (n j COs ej - nj case} Xn} COS ej - nj case} Xn} cose} + n k cose k Xn k case} - n} COS Bk) O 2 = (n j cosej + n} cosej Xn j cosej + nj cosej Xn j cosej + nk cosek Xn k cosej + nj cosek ) (n; COS ej + nj COS eJn} cosej - nj COS ej Xn} COS e} - nk cosek Xn k COS e} - nj COS ek) 03 = h COS Bj + n j COS e} Xn j COS Bj + nj COS BJn} COS Bj + nk COS Bk Xn k COS B} + n} COS Bk) (A2.208) (A2.209) (A2.210a) (A2.210b) (A2.210c) N -...J CP

ou, plus succinctement,<br />

avec<br />

(ni cos e i - nj cos ej Xn j cos ej + nk cos ek Xn j cos ei + ni cos ej Xn k cos ej + nj cos ek )<br />

(n j cos ej + nj COsej Xn j cos ej + n k COsek Xn} Cosej + nj case} Xn k case} + n} Cosek)<br />

(n} cos e} - nk cos ek Xn j cos ej + n} cos e} Xn} cos ej + nj cos e} Xn k cos e} + n j cos ek) J<br />

( + (n j cosej - nj cose} Xn} cosej -nj cose} Xn k cose} - n} cosek Xn j cosej + nk cosek) _<br />

+ e 'r<br />

(n j COS ej + n} CaSe} Xn} COS ej + nk cosek Xn} cosej + nj cosej Xn k COS ej + n} cosek)<br />

+ (n j cosej + n} cosej Xn} cosej - nk cosek Xn} COS ej - nj case} Xn k cose} - n} cosek) e- 2jr<br />

(nj COS ej + n} case} Xn} COS e} + nk COs ek Xn} COS ej + nj COS ej Xn k COS e} + n j COS ek)<br />

o{y) = Dl + 02e-jr + 03e-2jr<br />

(n j cosej -nj cosejXn} cosej +nj cosejXn} case} +nk cOSekXnk case} +n} cosek)<br />

Dl = (n j COS ej + nj COS ej Xn j COS ej + ni COS ej Xn j COS ej + n k COS e k Xn k COS ej + nj COS e k )<br />

[<br />

(nj COSej + n} cosBJnj cosBj + nj COS e} Xn} case} - n k cose k Xn k cosej + nj cos Bk ) ]<br />

+ (n j COs ej - nj case} Xn} COS ej - nj case} Xn} cose} + n k cose k Xn k case} - n} COS Bk)<br />

O 2<br />

= (n j cosej + n} cosej Xn j cosej + nj cosej Xn j cosej + nk cosek Xn k cosej + nj cosek )<br />

(n; COS ej + nj COS eJn} cosej - nj COS ej Xn} COS e} - nk cosek Xn k COS e} - nj COS ek)<br />

03 = h COS Bj + n j COS e} Xn j COS Bj + nj COS BJn} COS Bj + nk COS Bk Xn k COS B} + n} COS Bk)<br />

(A2.208)<br />

(A2.209)<br />

(A2.210a)<br />

(A2.210b)<br />

(A2.210c)<br />

N<br />

-...J<br />

CP

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