6LQFHZHKDYHKHUHDG\QDPLFPRGHOH[WHQVLRQWKDWDOORZVWKHXVHRIH[LVWLQJNLQHPDWLF PDVVOHVV PRGHOVZHKDYHEHHQDEOHWRLQYHVWLJDWHWKHHIIHFWRIW\UHLQHUWLDRQWKHVHPRGHOV+RZHYHUIRUWKHVDNHRIVLPSOLFLW\WKHVHPR
Trang 220m/s 10
10 0
Trang 34 8
5
8 0.5
20
40 64
1
2 4 8 16
8 16
32 32 32
16 8 11
200 128
-1
1
Re Im
)\HT
α
&)ψ 8
Re 1
24 64 64
1 2 8
96
8 16
32 128
32 24 64
-1
9 [m/s]
9 [m/s]
radial-ply bias-ply
WKHRU\
radial-ply bias-ply
1.1 Hz 4.0 Hz 7.8 Hz
0]HTψ
)\HTψ
30 20 10 5 2.5
304020 15 10
50
30 40 20
15 10
30 40
10
50
15 20 30
20 10 5 2.5
5
20
15 10
30
40
0 0 0
30 20 10 5
40 20 15
10
50
30 4020
15
10
50
30 40 10
50
15 20 2030
10 5
Trang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
7RIXUWKHUGHYHORSPDWKHPDWLFDOPRGHOVWKDWFDQEHXVHGXQGHUFRQGLWLRQVWKDWLQFOXGHVKRUWZDYHOHQJWKVKLJKHUIUHTXHQFLHVDQGODUJHFRPELQHG VOLSDGLIIHUHQWURXWHDSSHDUVWREHPRUHSURPLVLQJ7KHDGRSWHGSULQFLSOHLVVHSDUDWHPRGHOOLQJRIWKHIOH[LEOHEHOWZLWKFDUFDVVDQGWKHFRQWDFWSDWFKZLWKLWVWUDQVLHQWVOLSSURSHUWLHV7KHWKHRU\RIWKHQRQVWHDG\VWDWHUROOLQJDQGVOLSSLQJSURSHUWLHVRIWKHEUXVKPRGHOKHOSVLQWKLVPRGHOOLQJHIIRUW,Q&KDSWHUWKLVDGYDQFHGPRGHOZLOOEHGLVFXVVHG
)RU OHVV GHPDQGLQJ FDVHV ODUJH ZDYHOHQJWK ORZ IUHTXHQF\ WKH VWUDLJKWWDQJHQWRUVLQJOHSRLQWFRQWDFWPRGHOVPD\EHHPSOR\HG6XFKPRGHOVPD\EHXVHGLQFRPELQDWLRQZLWKWKHDSSUR[LPDWHG\QDPLFH[WHQVLRQWKDWDFFRXQWVIRUWKHJ\URVFRSOHFRXSOHGXHWRWKHODWHUDOGHIOHFWLRQYHORFLW\)XUWKHUPRUHWKHVHVLPSOHPRGHOVFDQEHHDVLO\DGDSWHGWRFRYHUODUJHVOLSQRQOLQHDUEHKDYLRXUFI
&)\Y&KDSWHULVGHYRWHGWRWKHWUHDWPHQWRIWKHYHU\XVHIXODQGUHODWLYHO\VLPSOHSRVVLEO\QRQOLQHDUVLQJOHFRQWDFWSRLQWWUDQVLHQWVOLSPRGHOV:LWKWKDWVLQJOHSRLQWFRQWDFWPRGHOWKHSUREOHPRIFRUQHULQJDQGEUDNLQJ RQXQGXODWHGURDGVXUIDFHVFDQEHPDGHPRUHDFFHVVLEOHIRUYHKLFOHVLPXODWLRQVWXGLHV)LUVWZHZLOODGGUHVVWKLVGLIILFXOWVXEMHFWLQWKHVXEVHTXHQWVHFWLRQXVLQJH[DFWVWULQJPRGHOVZLWKDQGZLWKRXWWUHDGHOHPHQWVZKLFKVKRZVWKHGHHSHUFDXVHRIWKHDVVRFLDWHGORVVLQFRUQHULQJSRZHU
Trang 512167($'<67$7(675,1*%$6('7<5(02'(/6
,QVWXGLHVE\0HWFDOI 3DFHMND
D' U &
7KHQXPHULFDOYDOXHVRIWKHSDUDPHWHUVRIWKHV\VWHPXQGHUFRQVLGHUDWLRQDUH
DR' U R' U A' U V' DR ' DR
' DR ' F' DR FS' FF ,Q)LJWKHFDOFXODWHGYDULDWLRQRIFRQWDFWOHQJWKDRYDOFXUYH WKHSDWKRIWKHFRQWDFWSRLQWVORZHUFXUYH$% DQGWKHFRXUVHRIWKHSRLQWVRIWKHVWULQJDWWKHOHDGLQJDQGWUDLOLQJHGJH$&DQG%& KDYHEHHQLQGLFDWHG7ZRSRVLWLRQVRIWKHW\UHKDYHEHHQGHSLFWHGRQHLQLQWHUYDO,,DQGWKHRWKHULQLQWHUYDO,,,,WLVQHFHVVDU\WKDWWKHFDOFXODWLRQVLQWKHQXPHULFDOLQWHJUDWLRQSURFHVVEH
Trang 1012167($'<67$7(675,1*%$6('7<5(02'(/6
FDUULHGRXWZLWKJUHDWDFFXUDF\$VPDOOHUURUJLYHVULVHWRDUDSLGEXLOGXSRIGHYLDWLRQVIURPWKHFRUUHFWFRXUVH,QWKHFDVHFRQVLGHUHGDERYHWKHLQWHJUDWLRQWLPHLVOLPLWHGDQGDFFXUDWHUHVXOWVFDQEHREWDLQHG,QFDVHVKRZHYHUZKHUHFRQWLQXRXV FRQWDFW EHWZHHQ W\UH DQG URDG H[LVWV D ORQJ LQWHJUDWLRQ WLPH LVQHHGHGEHIRUHDVWHDG\VWDWHVLWXDWLRQLVDWWDLQHGZKLFKLVGXHWRWKHIDFWWKDWWKHH[DFWLQLWLDOFRQGLWLRQVRIDSHULRGLFORDGLQJF\FOHDUHQRWNQRZQ)RUWKLVVRUWRIVLWXDWLRQWKHH[DFWPHWKRGGHVFULEHGDERYHLVGLIILFXOWWRDSSO\GXHWRVWURQJGULIWRIYF LQSDUWLFXODU
)RUIXUWKHULQYHVWLJDWLRQRIWKHHIIHFWRIDWLPHYDU\LQJORDGZHZLOOWXUQWRDQDSSUR[LPDWHPHWKRGEDVHGRQWKHVWULQJPRGHOZLWKRXWWUHDGHOHPHQWV
$GDSWHG%DUH6WULQJ0RGHO
7KHXVHRIWKLVPRGHOLVPXFKVLPSOHUVLQFHWKHGHIOHFWLRQVDWERWKHGJHVDUHLQGHSHQGHQWRIHDFKRWKHU'ULIWGRHVQRWRFFXULQWKHFDOFXODWLRQSURFHVV,Q)LJWKHGHIOHFWHGPRGHOKDVEHHQVKRZQLQLQWHUYDO,,)RUWKHWKUHHLQWHUYDOVWKHIROORZLQJVHWVRIHTXDWLRQVDSSO\
Trang 1112167($'<67$7(675,1*%$6('7<5(02'(/6
\ _
[ _
[
_ [
,QRUGHUWRJHWEHWWHUDJUHHPHQWZHZLOOLQWURGXFHDQRQFRQVWDQWUHOD[DWLRQOHQJWK (D WKDWLVDIXQFWLRQRIWKHFRQWDFWOHQJWKDDQGWKXVRIWKHYHUWLFDO
DFFRUGLQJWR(T )LJXUHSUHVHQWVWKHYDULDWLRQRIUHOD[DWLRQOHQJWKDQGFRQWDFWOHQJWKDVDIXQFWLRQRIWKHYHUWLFDOORDGDVFDOFXODWHGIRUWKHFXUUHQWSDUDPHWHUYDOXHV
Trang 1212167($'<67$7(675,1*%$6('7<5(02'(/6
)]])o1
,Q)LJDFRPSDULVRQLVPDGHEHWZHHQWKHUHVXOWVRIWKHWKUHHPRGHOVZLWKRXW WUHDG HOHPHQWV ZLWK WUHDG HOHPHQWV H[DFW DQG DFFRUGLQJ WR WKH
WKHSDUDPHWHUYDOXHV 7KHDSSUR[LPDWHSDWKRIFRQWDFWSRLQWVVKRZVJRRGDJUHHPHQWZLWKWKHSDWKIRUWKHH[DFWPRGHOZLWKWUHDGHOHPHQWV:KHQWKHWUHDGHOHPHQWVDUHRPLWWHGZHKDYHWKHEDUHVWULQJPRGHOIRUZKLFKWKHSDWKEHFRPHVZLGHUDQGWKHODWHUDOGHIOHFWLRQVJUHDWHU
7KH)RUFHDQG0RPHQW5HVSRQVH
7KHODWHUDOIRUFH)\DQGWKHPRPHQW0]ZKLFKDFWRQWKHW\UHFDQEHDVVHVVHGZLWKJRRGDSSUR[LPDWLRQWKURXJKWKHIROORZLQJVLPSOLILHGIRUPXODH,QWKHLUGHULYDWLRQVZHKDYHUHSODFHGWKHFRQWDFWOLQHE\WKHVWUDLJKWOLQHFRQQHFWLQJWKHEHJLQQLQJDQGHQGSRLQWVRIWKHFRQWDFWOLQH9RQ6FKOLSSH¶VDSSURDFK )RUWKHPRGHOZLWKWUHDGUXEEHUHOHPHQWVZHREWDLQ
Trang 13tangent to leading edge
Trang 141 2
1 4
2
ρ ρo ρsin(2π Vλ)
1 2
)RUDVHULHVRIDPSOLWXGHV DQGZDYHOHQJWKV WKHYDULDWLRQRIWKHFRUQHULQJÖIRUFHRUUDWKHURIWKHFRUQHULQJVWLIIQHVVKDVEHHQFDOFXODWHG6LQFHGXULQJORVVRIFRQWDFWWKHYHUWLFDOORDGUHPDLQV]HURWKHSHULRGRIWKHWRWDOORDGLQJF\FOHPXVWEHFRPHORQJHULQRUGHUWRNHHSWKHDYHUDJHYHUWLFDOORDGXQFKDQJHG7KLVFKDQJHLQSHULRGKDVEHHQWDNHQLQWRDFFRXQWLQWKHFDOFXODWLRQRIWKHDYHUDJHVLGHIRUFHRUFRUQHULQJVWLIIQHVV&)
)LJXUHVDQGVKRZWKHILQDOUHVXOWRIWKLVLQYHVWLJDWLRQYL]WKH
Trang 1512167($'<67$7(675,1*%$6('7<5(02'(/6
FRUQHULQJVWLIIQHVVDYHUDJHGRYHURQHFRPSOHWHORDGLQJF\FOHDVDIXQFWLRQRIWKH
DQGZLWKRXWWUHDGHOHPHQWVWKDWLVZLWKWKHDGDSWHGEDUHVWULQJPRGHODQGZLWKWKHRULJLQDOEDUHVWULQJPRGHO:LWKWKHSDUDPHWHUYDOXHV DRDQGFS FF
WKHUHOD[DWLRQOHQJWKRIWKHPRUHDGYDQFHGPRGHOZLWKWUHDGHOHPHQWVDWWKHVWDWLF
OHQJWKKDVEHHQWDNHQHTXDOWR DR
7KH ILJXUHV FOHDUO\ LOOXVWUDWH WKH XQIDYRXUDEOH HIIHFW RI LQFUHDVLQJ WKH
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x2\2
Trang 8< /span>V
0
wheel load variation