7KH VOLS DQJOH YDULDWLRQ LV VLQXVRLGDO DURXQG DYHUDJH OHYHOV R DQG UDGZLWKRQHDPSOLWXGHÖ UDGDWWKUHHZDYHOHQJWKV DQGP6LPLODUO\ WKH WXUQ VOLS KDV WZR DYHUDJH OHYHOV DnR DQG DQG RQHDPSO
Trang 46+257:$9(/(1*7+,17(50(',$7()5(48(1&<7<5(02'(/
/DUJH6OLS$QJOHDQG7XUQ6OLS5HVSRQVH6LPXODWLRQV
7KHVDPHVLQXVRLGDOPDQRHXYUHVKDVEHHQVLPXODWHGDVZDVGRQHEHIRUHZLWKWKHEUXVKEDVHGFRQWDFWPRGHO7KHFRPSOHWHQRQOLQHDUVHWRIHTXDWLRQV WR KDYHEHHQXVHGZLWKSDUDPHWHUVOLVWHGLQ7DEOH
0]
V
0]
0])\
)\
)\
V
Trang 5
7KH VOLS DQJOH YDULDWLRQ LV VLQXVRLGDO DURXQG DYHUDJH OHYHOV R DQG
UDGZLWKRQHDPSOLWXGHÖ UDGDWWKUHHZDYHOHQJWKV DQGP6LPLODUO\ WKH WXUQ VOLS KDV WZR DYHUDJH OHYHOV DnR DQG DQG RQHDPSOLWXGHDnÖ DOVRDWZDYHOHQJWKV DQGP
0]
V D
)\
V D
0])\
0])\
Trang 60DXULFHKDVFRQGXFWHGH[WHQVLYHH[SHULPHQWVZLWKD59W\UHDW
EDULQIODWLRQSUHVVXUHRQDPGUXPWHVWULJ7KHGLDJUDPVRI)LJDSUHVHQWWKHFRPSXWHGUHVXOWVFRPSDUHGZLWKH[SHULPHQWDOGDWDIRUWKHFDVHRISXUHVLGHVOLS7KHH[SHULPHQWVKDYHEHHQFDUULHGRXWDWYHU\ORZVSHHGWRDYRLGLQHUWLDHIIHFWVRIWKHPRYLQJW\UH7KHZDYHOHQJWKUDQJHVIURPWRP7KHXSSHUGLDJUDPUHIHUVWRWKHFDVHRI]HURDYHUDJHVOLSDQJOHDQGEDPSOLWXGH7KHORZHUGLDJUDPVKRZVWKHUHVSRQVHVDURXQGDQDYHUDJHVOLSDQJOHRIEZKLFKFDXVHVWKHFXUYHVWRGHYLDWHFRQVLGHUDEO\IURPWKHLQSXWVLQXVRLGDOVKDSH7KHFXUYHVFOHDUO\VKRZWKDWDVKRUWHUZDYHOHQJWKFDXVHVWKHUHVSRQVHDPSOLWXGHWR
Trang 7)LJE &RPSDULVRQRIWKHRUHWLFDOPRGHOFDOFXODWLRQVDQGH[SHULPHQWDOUHVXOWVSHUIRUPHG
DWNPKRQD PGUXP0DXULFH 7KHFXUYHVFRYHURQHZDYHOHQJWKRIWKH SHULRGLFUHVSRQVHVWRVLQXVRLGDOORDGYDULDWLRQV)RUFHDQGPRPHQWUHVSRQVHWR YHUWLFDOORDGYDULDWLRQVDWWZRYDOXHVRIVOLSDQJOH
Trang 86+257:$9(/(1*7+,17(50(',$7()5(48(1&<7<5(02'(/
GHFUHDVHDQGWKHSKDVHODJWRLQFUHDVH,WFDQDOVREHREVHUYHGWKDWWKHUHVSRQVHVRFFXUPRUHTXLFNO\DWODUJHUOHYHOVRIVOLSZKLFKLVGXHWRWKHZLWKVOLSVKDUSO\GHFUHDVLQJUHOD[DWLRQOHQJWK7KHPDJLFIRUPXODZDVXVHGWRPRGHOWKHVWHDG\VWDWH FKDUDFWHULVWLFV 7KH SDUDPHWHUV ZHUH REWDLQHG IURP VHSDUDWH WHVWVSHUIRUPHG RQWKHGUXPDWWKHPXFKKLJKHUVSHHGRINPK7KHGLIIHUHQWFRQGLWLRQVPD\H[SODLQWKHGHYLDWLRQLQOHYHORIWKHFDOFXODWHGZLWKUHVSHFWWRWKHPHDVXUHGUHVSRQVHV
)LJXUHESUHVHQWWKHFRPSDULVRQZLWKWKHUHVXOWVRIDVHFRQGVHULHVRIH[SHULPHQWVDWVDPHFRQGLWLRQV+HUHWKHYHUWLFDOORDGLVFKDQJHGVLQXVRLGDOO\ZKLOHWKHVOLSDQJOHLVNHSWDWDVPDOOOHYHODQGDWDKLJKHUOHYHO7KHUHVXOWVDUHVLPLODUWRWKRVHGLVFXVVHGLQ&KDSWHU)LJ7KHPRPHQWUHVSRQVHVHHPVWREHLPSURYHGZLWKWKHPRUHFRPSOH[W\UHPRGHO
7KHDJUHHPHQWRIWKHFRPSXWHGUHVXOWVZLWKH[SHULPHQWDOGDWDLVTXLWHJRRG
$VKDVEHHQUHSRUWHGE\0DXULFHDOVRIRUWKHPRPHQWUHVSRQVHDUDWKHUJRRGDJUHHPHQWKDVEHHQHVWDEOLVKHG6LQFHDWWKHPD[LPXPVOLSDQJOHRIEWKHSHDNRI WKH PRPHQW FKDUDFWHULVWLF KDV EHHQ VXUSDVVHG WKH UHVXOW EHFRPHV TXLWHVHQVLWLYH WR VPDOO GLIIHUHQFHV EHWZHHQ DFWXDO DQG PRGHO VWHDG\VWDWHFKDUDFWHULVWLFVRIWKHDOLJQLQJWRUTXH
3DUNLQJ0DQRHXYUHV
3DUNLQJPDQRHXYUHVWDNHSODFHDWYHU\ORZRU]HURVSHHG7KHWRUTXHDFWLQJRQWKHW\UHDWVXFKFRQGLWLRQVPD\EHFRPHYHU\ODUJH7KHLQIOXHQFHRIWKHILQLWHWUHDGZLGWKLVHVVHQWLDODVWKHUHVSRQVHWRVSLQLVQRZSUHGRPLQDQW:HPLJKWHPSOR\ WKH HTXDWLRQV GHYHORSHG DERYH EXW WKHQ ZH VKRXOG WDNH FDUH RI WKHLQWHJUDWLRQRIWKHVSLQYHORFLW\WRSURSHUO\OLPLWWKHEXLOWXSRIWKH\DZWUDQVLHQWVOLS6LPLODUSUREOHPVDURVHZKHQFRQVLGHULQJWKHSUREOHPRIEUDNLQJWRVWDQGVWLOORUVWDUWLQJIURPVWDQGVWLOOFI6HF(TV
7RDFKLHYHDPXFKEHWWHUDJUHHPHQWZLWKH[SHULPHQWDOHYLGHQFHDGLIIHUHQWDSSURDFKZLOOEHIROORZHGLQWKHSUHVHQWDSSOLFDWLRQ,WPD\EHQRWHGWKDWDQLPSRUWDQWFKDUDFWHULVWLFLVDFWXDOO\VWLOOPLVVLQJ)RUWKHEUXVKEDVHG PRGHO(T ZDVXVHG7KHHTXDWLRQJRYHUQVWKHYDULDWLRQRIWKHDOLJQLQJWRUTXH0]
WKDWDULVHVZKHQWKHQRQUROOLQJW\UHLVVWHHUHGDQGWKHVWHHUDQJOH LVLQFUHDVHGIURP]HURWRDQGEH\RQGWKHVWDWHRIIXOOVOLGLQJ8OWLPDWHO\WKHWRUTXHUHDFKHVWKH PDJQLWXGH WKDW ZRXOG DOVR DULVH ZKHQ WKH UROOLQJ W\UH LV VXEMHFWHG WR DFRQVWDQWUDWHRIWXUQLQJG GWZKLOHWKHVOLSDQJOHUHPDLQV]HUR DWDIRUZDUGVSHHG9[WKDWGHFUHDVHVWR]HUR7KHQWKHUDGLXVRIWXUQ5UHGXFHVWR]HURDQGWKXVWKHVSLQDSSURDFKHVLQILQLW\)LJXUHLOOXVWUDWHVWKHVLWXDWLRQ
7KH PLVVLQJ FKDUDFWHULVWLF ZLOO EH PRGHOOHG E\ XVLQJ D IRU WKLV SXUSRVH
Trang 10)RUWKHSDUDPHWHUYDOXHFR )LJSUHVHQWVWKHFDOFXODWHGYDULDWLRQRIWKHWRUTXHYHUVXVWKHVWHHUDQJOHFRPSDUHGZLWKH[SHULPHQWDOO\REWDLQHGUHVXOWVDVUHSRUWHGE\9DQGHU-DJW7KHQRQUROOLQJW\UHVL]H35 LVORDGHGWR
1RQDIODWSODWHDQGVXEVHTXHQWO\VWHHUHGDWDUDWHRIDQGGHJV7KHFRUUHVSRQGHQFHLVTXLWHJRRGSHUKDSVH[FHSWIRUWKHLQLWLDOSKDVHZKHUHWKHZKHHOVWDUWVWREHVWHHUHGIURPWKHFRQGLWLRQZKHUH0] 7RLPSURYHWKHPRGHOSHUIRUPDQFH9DQGHU-DJWVXJJHVWVWRXVHDQH[SRQHQWFRWKHYDOXHRIZKLFKGHSHQGV RQ WKH ODVW H[WUHPH RI WKH GHIOHFWLRQ DQJOH )RU SRVVLEOH IXUWKHUUHILQHPHQWVRIWKHPRGHOZHUHIHUWRWKHRULJLQDOZRUN
:KHQLQVWHDGRIWKHQHZDSSURDFKWKH0DJLF)RUPXODZRXOGEHXVHGZLWKWKHLQWHJUDWLRQOLPLWDWLRQDVVXJJHVWHGDFFRUGLQJWR(TV DVKDUSSHDNZRXOGDULVHLQWKHFXUYHZKHUHWKHGLUHFWLRQRIWXUQLQJLVFKDQJHG$VDUHVXOWWKHPRPHQWGHFUHDVHVDWDPXFKVORZHUUDWHWKDQVKRZQE\WKHWHVWUHVXOW7KHSUREOHPLVQRZKRZWRLQWHJUDWHWKHQHZPRGHOIHDWXUHLQWKHRULJLQDOPRGHOVWUXFWXUH7KHWUDQVLHQWVOLSTXDQWLW\n0(T PD\EHUHFRJQLVHG
Trang 11Z9ORZ' % FRV 9[
9ORZ _9[_ 9ORZ Z9ORZ'
DOUHDG\ DSSHDULQJ LQ (T DQGWKHFDPEHUDQJOH DQGWKHUDGLDOW\UHGHIOHFWLRQ ]DUHDYDLODEOH7KHFDPEHUDQJOH ZLOOEHWUHDWHGKHUHDVDVPDOOTXDQWLW\
7KHEHOWFRQVLGHUHGDVDULJLGFLUFXODUERG\KDVDPDVVPEDQGPRPHQWVRILQHUWLD,E[\]7KHFDUFDVVVLGHZDOOV SRVVHVVHVVWLIIQHVVHVFE[\]DQGGDPSLQJFRHIILFLHQWVNE[\],QWKHILJXUHWKHIRUFHDQGPRPHQWYHFWRUV.FDQG7FGHILQHGWRDFWIURPFRQWDFWSDWFKWRDQGDERXWWKHFHQWUHRIWKHEHOWKDYHEHHQLQGLFDWHG
Trang 15
7KHLUFRPSRQHQWVDUHGHILQHGZLWKUHVSHFWWRWKH$ WULDG7KHILUVWRIWKHWZRVHWVRIILUVWRUGHUGLIIHUHQWLDOHTXDWLRQVIRUWKHVL[GHJUHHVRIIUHHGRPUHDGVG\QDPLFEHOWHTXDWLRQV
LOOXVWUDWHV WKH PHFKDQLVP WKDW JLYHV ULVH WR WKH LQWHUDFWLRQ WHUPV 7KHH[DPSOHFRQFHUQVWKHWHUPNE] ]EULQ 7KHIROORZLQJUHODWLRQVEHWZHHQWKHWZRVHWVRIZKHHODQGD[OHDQJXODUYHORFLWLHVKROG
Trang 167KHFRQWDFWSDWFKERG\LVVXEMHFWHGWRIRUFHVDFWLQJLQWKHUHVLGXDOVSULQJVVXEVFULSWF DQG H[WHUQDO IRUFHV DFWLQJ IURP URDG VXUIDFH WR FRQWDFW SDWFK
Trang 17belt wheel
Trang 18FE
Trang 19)RUWKLVSXUSRVHZHLQWURGXFHWKHW\UHWRWDOVSLQYHORFLW\ FI(T 0ZKLFKKDVEHHQFRUUHFWHGIRUWKHVWDWLFEHOWFDPEHUGHIOHFWLRQWRHQDEOHWKHGLUHFWXVHRIWKHUHOHYDQWPDJLFIRUPXODHDQDORJRXVWRWKHXVHRI VWLQ(T
0 ' 0F& &g VLQ % EU& EVWU ZLWKWKHµVWDWLF¶EHOWGHIOHFWLRQDQJOH
7KHWUDQVLHQWVOLSILUVWRUGHUGLIIHUHQWLDOHTXDWLRQVDUHUHSHDWHGEHORZ7KH\DUHLGHQWLFDOWR(TV SOXV(T H[FHSWIRUWKHQRZDGGHGHIIHFWRIWKHFDPEHUDQJOHLQWKHULJKWKDQGPHPEHUV,Q PD\EHUHSODFHGE\FDVDWVWHDG\VWDWHWKHVHDUHHTXDOIRUFRQWDFWSDWFKDQGRYHUDOOW\UHPRGHO7KHVDPHKROGVIRUWKHVSLQYDULDEOHV DQG nF
Trang 206+257:$9(/(1*7+,17(50(',$7()5(48(1&<7<5(02'(/ WUDQVLHQWVOLSHTXDWLRQVIRUORQJLWXGLQDOVLGHVOLSWXUQVOLSDQGFDPEHU
Trang 21$DQG& KDVEHHQSURSHUO\DFFRXQWHGIRULQWKHVWHDG\VWDWH ...
7KHDGDSWHGPRGHOZLOOEHDSSOLHGQRZWRWKHVLPXODWLRQRIWKHPRWLRQRIDULJLGTXDUWHUFDUPRGHOZLWKPDVVPTFWKDWZKLOHDVLQXVRLGDOVWHHULQJLQSXWLVDSSOLHGVWDUWVUROOLQJDIWHUVHFZLWKDOLQHDUO\LQFUHDVLQJVSHHG7KHODWHUDO
Trang 12< /span>6+257:$9(/(1*7+,17(50('',$7()5(48(1&<7<5(02''(/...
Ω θ
[\]U E
residual spring forces and moments
wheel body accelerations
belt wheel