Suspension of a YBCO Tape and its Numerical Evaluation

Suspension of a YBCO Tape and its Numerical Evaluation

Available online at www.sciencedirect.com ScienceDirect Physics Procedia 58 (2014) 338 – 341 WK,QWHUQDWLRQDO6\PSRVLXPRQ6XSHUFRQGXFWLYLW\,66...

794KB Sizes 3 Downloads 36 Views

Available online at www.sciencedirect.com

ScienceDirect Physics Procedia 58 (2014) 338 – 341

WK,QWHUQDWLRQDO6\PSRVLXPRQ6XSHUFRQGXFWLYLW\,66

6XVSHQVLRQRID<%&2WDSHDQGLWVQXPHULFDOHYDOXDWLRQ  07VXFKLPRWR  

+RNNDLGR,QVWLWXWHRI7HFKQRORJ\0DHGD7HLQHNX6DSSRUR-DSDQ   

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

© 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ‹7KH$XWKRUV3XEOLVKHGE\(OVHYLHU%9 (http://creativecommons.org/licenses/by-nc-nd/3.0/). 6HOHFWLRQDQGSHHUUHYLHZXQGHUUHVSRQVLELOLW\RIWKH,663URJUDP&RPPLWWHH Peer-review under responsibility of the ISS 2013 Program Committee

.H\ZRUGVKLJK7FVXSHUFRQGXFWRU<%&2WDSHVXVSHQVLRQOLPLWQXPHULFDOVLPXODWLRQIOX[SLQQLQJPRGHO0D[ZHOOVWUHVV

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îPPî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

&RUUHVSRQGLQJDXWKRU7HOID[ (PDLODGGUHVVWVXFKL#KLWDFMS

1875-3892 © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/). Peer-review under responsibility of the ISS 2013 Program Committee doi:10.1016/j.phpro.2014.09.083

339

M. Tsuchimoto / Physics Procedia 58 (2014) 338 – 341

VXVSHQVLRQVDQGWKHWULDQJOHVFRUUHVSRQGWRYHU\VKRUWWLPHVXVSHQVLRQV)RXUVDPSOHVDUHVXVSHQGHGXQGHURQHRUWZR SHUPDQHQW PDJQHWV DQG IRXU GLIIHUHQW LQLWLDO JDS OHQJWKV :HLJKW RI WKH VDPSOH LV LQSURSRUWLRQ WR WKH OHQJWK RI WKH WDSH7KHVXVSHQVLRQVLQWKH7DEOHDUHFRQILUPHGE\WLPHVWULDOVIRUWKHVDPHJDSOHQJWK7KHVXVSHQVLRQOLPLWV ZKHUHWKHWRWDOSLQQLQJIRUFHHTXDOWRWKHZHLJKWRIWKHWDSHDUHFOHDUO\REWDLQHGIURPWKHH[SHULPHQWDOUHVXOWV 



D 3KRWRRIVXVSHQVLRQ E ([SHULPHQWDOV\VWHP )LJ6XVSHQVLRQRID<%&2WDSHXQGHUDSHUPDQHQWPDJQHW 







D ([SHULPHQWDOPHDVXUHPHQWV E 1XPHULFDOUHVXOWV )LJ9HUWLFDOILHOGVRI]D[LVRQWKHSHUPDQHQWPDJQHWV  7DEOH([SHULPHQWDOVXVSHQVLRQUHVXOWVRIVHYHUDOVDPSOHV









1XPHULFDOIRUPXODWLRQ  0DFURVFRSLF HOHFWURPDJQHWLF SKHQRPHQD LQ D EXON +76 FDQ EH GHVFULEHG E\ WKH FULWLFDO VWDWH PRGHO ZLWK VKLHOGLQJFXUUHQWV-6&ZKHUHWKHHOHFWULFILHOG(LVLQGXFHGE\FKDQJHRIWKHPDJQHWLFILHOG>@ w - 6& (      LI Ǽ z    LI (    6&

F

wW

(

2QWKHRWKHU KDQGWKHVWDEOH VXVSHQVLRQRIWKH<%&2WDSHLQ)LJ D LVREWDLQHGQRWE\ VKLHOGLQJFXUUHQWVEXWE\ IOX[SLQQLQJRIIO[VRLGVLQWKHVXSHUFRQGXFWRU:KHQWKHH[WHUQDOILHOGLVVOLJKWO\FKDQJHGDORFDOIRUFH)DFWVRQD IO[VRLG ,I WKH IRUFH LV OHVV WKDQ WKH PD[LPXP SLQQLQJ IRUFH IO[VRLG GRHV QRW PRYH 7KH VHFRQG HTXDWLRQ LQ   LV ZULWWHQDVIROORZVZLWKWKHPD[LPXPSLQQLQJIRUFH)SPD[ w - 6&      LI )  )  wW

SPD[

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

340



M. Tsuchimoto / Physics Procedia 58 (2014) 338 – 341  ª % « %[   «  « « % \ %[ P « « « % ] %[ ¬«

­G)[ ½ ° ° ®G)\ ¾ ° G) ° ¯ ]¿

%[ % \ %\ 

%

º » » ­G6 ½ » ° [ °  %\ %] » ®G6 \ ¾ »  ° G6 ° % »¯ ] ¿  %]  »  » ¼ %[ %]





%] % \

 

$QRWKHUGHILQLWLRQDVWHQVLOHDQGFRPSUHVVLYHIRUFHVLVDOVRXVHIXOWRXQGHUVWDQGWKH0D[ZHOOVWUHVV>@     G) ^ %˜ Q %  %u %u Q `G6  P  ZKHUHQLVDQRUPDOXQLWYHFWRURQWKHVXUIDFH)RUH[DPSOH  LVUHGXFHGWRWKHIROORZLQJUHODWLRQVZLWK%\ IRUD VPDOODUHDG6RQ[D[LVLQ)LJ E  %[

 G)[

% VLQT  % ] 

P 

%

% [ % ] G6 %

Ǻ

Ǻ FRVT  G)

P 

G6 





P  



VLQTFRVTG6 

G) VLQ T  %

 



%  G6 %  % G6 FRV T  VLQ T G6 G) FRV T  P  P  P  7KHDQJOHEHWZHHQWKH0D[ZHOOVWUHVVDQGWKHQRUPDOYHFWRURQWKHVXUIDFHLVGLYLGHGLQWRKDOIE\PDJQHWLFILHOGOLQH >@DVVKRZQLQ)LJ D 7KLVLVDYHU\LPSRUWDQW IHDWXUHIRUWKH IOX[SLQQLQJ PRGHO :KHQH[WHUQDO ILHOGLVVPDOO FKDQJHGDQGWKHORFDOIRUFHLVVPDOOHUWKDQWKHPD[LPXPSLQQLQJIRUFHWKHIOX[RLGLQWKH+76GRHVQRWPRYH7KH ILHOGOLQHLQDLULVDVVXPHGWREHEHQWE\ǻșDWWKHVXUIDFHSLQQLQJSRLQW)URPWKHKDOIGLYLGHGDQJOH¶VORZGLUHFWLRQ RIWKH0D[ZHOOVWUHVVLVDOVRFKDQJHE\ǻș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

 ]

 ]

 [



D  E  )LJ D $QJOHEHWZHHQ0D[ZHOOVWUHVVDQGQRUPDOYHFWRULVGLYLGHGLQWRKDOIE\PDJQHWLFILHOGOLQH E :KHQILHOGOLQHLVEHQWE\ ǻșDWVXUIDFHSLQQLQJSRLQWGLUHFWLRQRI0D[ZHOOVWUHVVLVDOVRFKDQJHE\ǻșLQWKHIOX[SLQQLQJPRGHO  

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î HOHPHQWV DQG 0D[ZHOOVWUHVVHVDUHFDOFXODWHGRQWKHHOHPHQWV)LJ D VKRZVDQH[DPSOHRIIL[HGSRLQWVRIIOX[GLUHFWLRQLQ)LJ D (DFKIOX[GLUHFWLRQLVIL[HGDWDFURVVSRLQWRI]D[LVDQGDQH[WHQVLRQOLQHRIWKHIOX[)LJ E VKRZVQXPHULFDO VXVSHQVLRQIRUFHVRIRQHPDJQHWIRUWKUHHLQLWLDOJDSOHQJWKV'DVKOLQHVFRUUHVSRQGJDQGJZKHUHWKHZHLJKWV RIWKHVDPSOHVLQWKHH[SHULPHQWVLQ7DEOHDUHLQFOXGHGEHWZHHQWZROLQHV:KHQHDFKJDSOHQJWKLVLQFUHDVHGE\

341

M. Tsuchimoto / Physics Procedia 58 (2014) 338 – 341

PP VXVSHQVLRQ IRUFH LV REWDLQHG IURP WKH XQEDODQFHG 0D[ZHOO VWUHVV DV PHQWLRQHG EHIRUH 7KH VDPH RUGHU RI WKH VXVSHQVLRQIRUFHLVREWDLQHGLQ)LJ E 7KHH[SHULPHQWDOVXVSHQVLRQOLPLWVFRUUHVSRQGWRWKHVLWXDWLRQZKHUHZHLJKW RIWKHVDPSOHLVHTXDOWRWKHWRWDOVXVSHQVLRQIRUFH6LQFHWKHQXPHULFDOVXVSHQVLRQIRUFHVIRUPPLQLWLDOJDS OHQJWKVDUHLQWKHVXVSHQVLRQUHJLRQWKHWDSHVDPSOHVFDQEHVXVSHQGHG:KLOHWKHQXPHULFDOVXVSHQVLRQIRUFHIRU PPLQLWLDOJDSOHQJWKLVXQGHUWKHVXVSHQVLRQUHJLRQ7KRXJKWKHUHDUHVRPHGLIIHUHQFHVEHWZHHQWKHQXPHULFDODQG WKHH[SHULPHQWDOUHVXOWVWHQGHQFLHVRIWKHQXPHULFDOUHVXOWVDJUHHZHOOWRWKHH[SHULPHQWDOUHVXOWV7KHH[SHULPHQWDO VXVSHQVLRQOLPLWVDUHURXJKO\HYDOXDWHGZLWKWKHQXPHULFDOIOX[SLQQLQJPRGHO 





 D 0DJQHWLFILHOG E 0D[ZHOOVWUHVV )LJ0DJQHWLFILHOGDQG0D[ZHOOVWUHVVRQ[D[LVLQ)LJ E IRUWZRPDJQHWVZLWKPPJDSOHQJWK







 



 D $QH[DPSOHRIIL[HGSRLQWVRIIOX[GLUHFWLRQ E 6XVSHQVLRQIRUFHVRIRQHPDJQHWIRULQLWLDOJDSOHQJWKV )LJ1XPHULFDOVXVSHQVLRQIRUFHVE\WKHIOX[SLQQLQJPRGHO



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¶.RXNRX%XWVXUL0D[ZHOOBVWUHVV LQ-DSDQHVH LQKWWSIQRULRFRP0D[ZHOOBVWUHVV0D[ZHOOBVWUHVVKWPO