i m a h a b c cr a os b r x dr os 2 2 ra 2 arb 2

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: snside the ™ylinderD ¨M must —gree with equ—tion @PA for r ( aF fy inspe™tionD B a HD k a ID ` a IF ‡e don9t need to set C a H sin™e Cr ` 3 H when r ( aF ren™eX ¡ ¨M a C Hr C DHr sin @'A por r < aD DH is o˜viously Id=PF por r > bD C H a H ˜e™—use r ˜lows up —s r 3 IF ren™eX 1 V b Ar ` ¡ Id r sin '  1 2 r<a a [email protected] C Cr 1A sin ' X 1 Dr sin ' ¨M ~ ~ …sing the f—™t th—t H a r¨D we ™—n nd H X V b ` a<r<b r>b ¡ A C Id r sin '  @ ¨M Hr a a b @B Cr A sin ' @r X 2 2 r<a 2 a<r<b Dr 2 sin ' V b ` r>b ¡ A Id r ™os '  I @ ¨M a H' a @B C Cr A ™os ' b r @' X Dr ™os ' 2 2 r<a 2 a<r<b 2 epplying the ˜ound—ry ™ondition on ˜ound—ries @r a aD r a bAX   0 A Id a 2 C P A @the rst of equ—tions SFVW in t—™ksonA —t the Hr  0 sin ' a r  0 Id C P a a r 2 r  B A Id P 2 a 2 A B 2 Ca 2 ¡ ¡ @QA Cb sin ' a  Db sin ' ¡ r B C Cb a Db B epplying the ˜ound—ry ™ondition on H' ˜ound—ries @r a aD r a bAX ¡ Ca sin ' B  2 0 @RA @the se™ond of equ—tions SFVW in t—™ksonA —t the 2  r>b ™os ' a 2 B ¡ C Ca ™os ' 2 Id P a a B C Ca 2 2 ¡ C Cb ™os ' a Db ™os ' B C Cb a Db 2 @SA 2 2 S 2 @TA ‡e h—ve four ˜ound—ry ™ondition equ—tions { equ—tions @QAD @RAD @SAD @TAF ‡e will write these equ—tions in m—trix form to solve for AD B D C D —nd DX P QP Q P Q I r r a H A Id a  TH r r b b U TB U T H U T UT U a T U RI I a H S RC S R Id a S  H I b b D H 2 2 2 2 2 2 2 2 2 2 …sing the fol...
View Full Document

This note was uploaded on 12/08/2011 for the course PHYSICS 505 taught by Professor Liu during the Winter '08 term at University of Michigan.

Ask a homework question - tutors are online