Dynamic Response of Electromagnetic Launcher s Rail Subjected to Cosine Pressure

Transcription

1 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Dya spos of Elroag auhr s al Subj o Cos Prssur W u Shool of Ss Yasha Uvrsy Qhuagao 66 Cha E-al: lu96@hoal.o gog Zhag Corrspog auhor Shool of Ss Yasha Uvrsy Qhuagao 66 Cha E-al: zhaglg985@63.o Xagzhog Ba Shool of Cvl Egrg & has Yasha Uvrsy Qhuagao 66 Cha Fg u Shool of Ss Yasha Uvrsy Qhuagao 66 Cha v: Ju 3 Ap: Augus 3 o:.5539/s.v5p59 Ths proj s suppor by Naoal Naural S Fouao of Cha Gra NO Th Ell Gog Abroa Eprs Trag Progra Hb Prov. Absra I orr o h ral lf a prov h frg auray h lroag lauhr s ral a b ol as a ba o las fouao h sply suppor ba by ovg loa. Eulr ba hory s appl o bul h haal ol a h aalyal soluo of h quao subj o os ag prssur s rv al hh has sussfully avo h rrors hh ar aus by usg h ufor prssur o approaly rpla h varabl for. Nural aalyss of h ya rspos o ral by h ATAB sofar shos ha as h g frquy rass h pk of h aal flo a vbrao vloy ras graually. Takg h sa sp of loa o aou h ya rspos of ral s obvously sallr ha osa for. Thrfor h rlabl hory bass s prov for h sg a orol h ral hh proos h praal applao of h lroag auhr. Kyors: Elroag auhr s ral Cos prssur Aalyal soluos a-grag quao Eg frquy Dya rspos. Irouo os lauhr blog o hal rasr suh as arllry a rok h vlop of hology prou E Elroag auh Far H D 7. As a op apo h lroag ral Publsh by Caaa Cr of S a Euao 59

2 .s.org/s Copur a Iforao S Vol. No. 5; Spbr gu brok hrough h lao of projl vloy by h raoal hal rgy so has a hug applao h lary fl. Wh h vlop of hology a aral h rsarh of lauhr lauhg gh projl vloy a hgh ffy por sour h lroag ral gu hav rah a srs of ahv r yars. By h U Sas a Brga ha oopra o lauh projl gh 3 ~ kg o a al vloy of 3k/s h por of 3J apaor bak Sh A N 5 Far H D 5 a Sypahy S S. Ohr ours hav also a gra progrss suyg of h lroag hology. Th lroag ral gu has applao prosp ay aras suh as sf pr apo qup ssl f sys lauhg aroau aapuls rok a sall. As arly as 96 Toshko rsarh h vbrao of ba a ovg loa halsos G a Sophaopoulos D rsarh h ff of ovg ass a ohr parars o h ya rspos of a sply suppor ba. T.Tzg us h las fouao ba o bul haal ol of h lroag ral gu a u h solv pross of govrg quao. HU Yu aalyz h horal bul ol a sulao aalyss for h ork of h pross of lroag ral gu. WANG Shg aop h Fourr rasfor o suy spla fl u o a ovg loa o Eulr ba rsg o a las half-spa. FANG Qg rsarh h ya rspos of a rg suppor ba. Hovr h ufor prssur us o rpla h varabl for a h apg for o h rspos of ba as gor h abov rsarhs. Thr s o oub ha h alulao of hs k of suao has h fs of has a alulao of haal. As a hgh-h a hgh-prso lroag lauhr aura horal aalyss a alulao grg ar rqur. Bu ul o o rsarhr has gv ay a aalyal soluo hus furhr aaly soluo of h quao subj o varabl prssur s of gra sgfa. I fa s of horal valu o rsarh h horal aaly soluo of varous spls lug h aalyal soluo of praal grg probls. O h o ha s haal pur a b oplly sa; o h ohr ha a b us as a saar soluo o ly prou vary of ural soluo. Th ya rspos of a sply suppor ba a a ovg loa has a lo of bakgrou praal grg bu ya rspos of lroag auhr s ral subj o os prssur has o b aalyz. Th lroag auhr s ral prous vbrao hh a o b gor a a ovg loa. If h ovg loa s a h os ufavorabl poso of sa a sasfs oo of rsoa a largr ya rspos of lroag auhr s ral ll our a h lroag auhr s ral ll b sroy. H s ssary o aalys h ya rspos of lroag auhr s ral. I hs papr osrg h os prssur a apg for rgarg h ral as sply suppor ba o h las fouao IU W a SHAN u 9 a ha ol hh s ur h ff of ovg loa s propos. orovr akg us of varabl ho a h agrag quao hh osrg h apg for h aalyal soluo of h govrg quao s rv h spla rspos a vloy rspos ar rsarh a h flu of h ya rspos of lroag auhr s ral s aalyz a g frquy of os prssur.. haal ol Fgur shos a sha of a lroag ralgu opos of por sour ral araur a projl. Wh h lr urr of araur gos hrough h ral fors a srog ag fl h ara of hr rl. Wh h rao by h ag fl a h lr urr rgs porful lroag for hh pushs h araur a projl o o h alrag oo alog h ral ll h projl s lauh ou of h ral. Fgur s h haal ol of h ralgu-sply suppor ba parally subjs o olar loa a -varyg rgo sg o h las fouao. Cosrg h ff of h ba by h apg for a basg o h Eulr ba hory oba h govrg quao of las fouao ba by ovg loa hh s a ras fourh-orr ffral quao as follos u W a Ba Xag zhog : k p Whr s h flo bhs h ass pr u lgh s h sy of ral aral b a h ar rspvly h h a hkss of h ral s h bg sffss of ba k s h las osa p q H v rprss h ag prssur fro s h apg off. Th fuo 6 ISSN E-ISSN

3 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Publsh by Caaa Cr of S a Euao 6 ravlg alog h ral h vloy v rprs by a Havs sp fuo v H EN Xgg a QIN Wyag 6 a os q q s h g frquy of os prssur. 3. Soluo of h haal ol Aorg as h vbrao of lroag auhr s ral s sak by prpal vbraos h soluo of h govrg quao a b prss as follos: Whr s fuo of vbrao a a bouary oo s fuo of. Fuo of vbrao a b oba by h hoogous quao of quao.th hoogous quao s a fourh-orr paral ffral quao; solv by h ho of varabl sparao. Th soluo of h hoogous quao of a b prss as follos: 3 Subsug 3 o h hoogous quao of : k Fro quao l: k 5 Tha s 6 Whr k. Bas o h bouary oo of h spl ba h soluo of quao 6 a b prss as follos ZHU Shja 6: 3 s I rs of h orhogoaly of Jro T T 5 oba: j j j 当当 Cosrg h orhogoaly of vbrao h k rgy of h bat a b prss as follos: T 7 Whr rprss h gral ass of h ba. Th oal sra rgy of h bau s oss by h sra rgy b U of h ba a h sra rgy f U of h fouao. f b k k U U U 8 Whr b U f k k U Th sspao fuo G a b prss as:

4 .s.org/s Copur a Iforao S Vol. No. 5; Spbr ISSN E-ISSN l G 9 Th vrual ork o by h ag prssur v H q p a vrual spla a b prss as follos: Q p W Whr f as h gralz for v q q p Q v os os s os Subsug TUGQo h Baggag quao lug h apg for T T U G Q W oba a orary ffral quao: F Q 3 Whr: v q F os os Th gral soluo of quao 3 s F Cosquly h gral soluo of a b prss as follos: os os s v q Th al oos ar as: W oba: os os v q 5 Aorg subsug h soluo of 5 o h quao so a g h soluo of. Th vloy rspos of lroag auhr s ral a b furhr rv fro hh provs bass for h ovrall vsgao of h ya rspos of lroag ras.. Nural sulao a aalyss I v of h ffr arals a h usooh surfa of lroag auhr s ral h ovg loa s rgar as g for h a frquy so h lroag auhr s ral prous vbrao hh ao b gor a a ovg loa. If h ovg loa s a h os ufavorabl poso of sa a sasfs oo of rsoa a largr ya rspos of lroag auhr s ral ll our a h prso of auhr ll b baly aff. H s ssary o aalyz a opar h ya rspos of lroag auhr s ral. For os prssur orr o prv ru for a bg su prssur h of ff s ofr a h o ha h os prssur s graually rasg. 3/ os q q. Th ral s v o shs OU Pg a ZENG Qgyua h o of shs s a h o of as hos as h o of h ya rspos. Th parars ar as follo Ahoy J J Fras C 6:

5 .s.org/s Copur a Iforao S Vol. No. 5; Spbr 6 Th parars of ral: h aral Youg oulus E GPa h las osak.53 Pa h 5 5 sy of ral aral 8.7 kg/ h apg off.3 Ns/. Th gor sz of ral: h lgh of ral h h of ralb 3 h hkss of ral h. 3 Th parars of loa: h loa ollo gr q Pa h ag haro prssur q q s Pa g frquy Hz 5Hz 6Hz Hz Hz Hz h aa sps of loa s h vloy of projl v / s v 5 / s v / s.. Th spla rspos of ralgu Wh h loa passg ovr ral h h sp of v / s h o flo- urv a ffr g frqus s sho Fgur 3 a Fgur. Bas o h Fgur 3 a Fgur as h g frquy rass h pk of h aal flo rass graually ur os prssur; h h g frquy s sall h aal flo our a h o ha os prssur ll lav h ral; h h g frquy s largr h rsoa ll our. Wh h loa passg ovr ral a sa g frqus h o flo- urv a ffr sps of loa s sho Fgur 5-ab. Bas o h oparso of Fgur 5-ab If h g frquy ras uhag h aal flo our a h o ha os prssur ll lav h ral; As h sps of loa rass h rass hl h loa passs ovr ral a h aal flo also rass graually bu flo- urv has o obvous hag; h h g frquy of os prssur rass h pk of h aal flo rass graually; Wh h projl lavs ral a h loa sops fuog o ralgu h vbrao of ral ll b a fr vbrao by a apg al sa. Fgur 6 shos h o flo- urv a ffr loas. Th ral aff by h loa ollo gr q a h ag os prssur q os 5 3/ h aal flo of ral a haro prssur s sgfaly sallr ha osa for h sa sps of loa.. Th vloy rspos of ralgu Wh h loa passg ovr ral h h sp of v / s h hag of vbrao vloy h h as of ffr g frquy of haro prssur s sho Fgur 7. Bas o h Fgur 7 as h g frquy ras h pk of h aal vbrao vloy rass graually ur os prssur; h aal vbrao vloy ours a h o ha h os prssur ll lav h ral. Wh h loa passg ovr ral a sa g frqus h vbrao vloy- urv a ffr sps of loa s sho Fgur 8-ab. Bas o h oparso of Fgur 8-ab h h g frquy of os prssur rass h pk of h aal vbrao vloy rass graually; Wh h loa sops fuog o ralgu h vbrao of ral ll b a fr vbrao. If h g frquy ras uhag urg h loa passs ovr ral h aal vbrao vloy our a h o ha os prssur ll lav h ral; as h sps of loa rass h rass hl h loa passs ovr ral h aal vbrao vloy rass graually a h pk of vbrao vloy also rass graually. Fgur 9 shos h vbrao vloy- urv a ffr loas Th ral aff by h loa ollo gr q a h ag os prssur q os 5 3 / h vbrao vloy of ral a haro prssur s sgfaly sallr ha osa for h sa sps of loa. 5. Coluso akg us of varabl ho a h agrag quao lug h apg for h gral soluo of h hoogous par a h aalyal soluo of h govrg quao subj o os prssur s rv hh rh a vlop h hory of las has h h hop o lay h fouao for solvg h ffuly probl of lroag ral subj o arbrary srbuo fuo prssurs. Though h ural sulao a aalyss h ATAB h harar of ya rspos of lroag auhr s ral as aalyz h os prssur h ffr g frqus pass hrough h ral. As h g frquy rass h pk of h aal flo a h pk of h aal vbrao vloy ras graually ur os prssur. Th rsoa ours h h g frquy s los o aural frquy. I h as of ovg loa a sa sps h aal flo a vbrao vloy of ral a os prssur s sallr ha osa for. Publsh by Caaa Cr of S a Euao 63

6 .s.org/s Copur a Iforao S Vol. No. 5; Spbr frs Ahoy J J & Fras C. 6. Elas Wavs a Sol Araur Coa Prssur Elroag auhrs. Trasaos o ags Far H D. 5. Elroag auh S a Thology h U Sas Ers a N Era. IEEE Trasaos o ags o:.9/tag hp://.o.org/.9/tag Far H D. 7. Progrss Elroag auh S a Thology. IEEE Trasaos o ags o:.9/tag hp://.o.org/.9/tag Fag qg & Du aolg. 6. Dya rsposs of a lasally suppor bas h apg subj o blas loas. has Egrg HU Yu. 7. olg a sulao of lroag ral gu sys: [Dssrao for h asr Dgr]. Harb Isu of Thology. Jro T Tzg & W S. 7. Dya spos of Calvr al Gus Arbu o Projl/Gu Irao-Thory. IEEE Trasaos o ags o:.9/tag hp://.o.org/.9/tag u W & Sha u. 9. aha ol a Aaly Soluo for a Cylr Subj o Epoal Fuo. Chs Joural of haal Egrg o:.39/cje hp://.o.org/.39/cje IU W I & BAI Xagzhog. Dforao Calulag of Elroag auhr s al Subj o Epoal ag Prssur. Harb Isu of Thology OU Pg & ZENG Qgyua.. F l aalyss of slab rak subj o ovg loa. Joural of Traff a Trasporao Egrg halsos G Sophaopoulos D & Kouas A N Th ff of a ovg ass a ohr parars o h ya rspos of a sply suppor ba. Joural of sou a Vbrao EN Xgg & QIN Wyag. 6. Bas of Egrg Vbrao. Cha. ah Prss Saapahy S S Nab I & Ergl E.. Dsg of a 8-J Igra auh Pakag. IEEE Progs of h Syposu o Elroag lauh Thology 5- o:.9/et..398 hp://.o.org/.9/et Sh A N Ells & Brars J S. 5. Thral aag a ssv al Hag arg-sal Naval Elro-ag auhr. IEEE Trasaos o agzs /TAG hp://.o.org/.9/tag Wag shg. 7. Dspla fl u o a ovg loa o Eulr ba rsg o a las half-spa: [Dssrao for h asr Dgr].Harb Isu of Thology. ZHU Shja. 6. Th hory vbrao a h hqus of vbrao solao. Naoal Df Iusry Prss ISSN E-ISSN

7 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Fgur. Th gral agra of h ralgu Fgur. Th ral s ol as a ba o las fouao Publsh by Caaa Cr of S a Euao 65

8 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Fgur 3. No flo- urv a ffr frqus Fgur. No flo- urv a ffr frqus 66 ISSN E-ISSN

9 .s.org/s Copur a Iforao S Vol. No. 5; Spbr a Eg frquy 5Hz b Eg frquy 6Hz Fgur 5. No flo- urv a ffr sps of loa Publsh by Caaa Cr of S a Euao 67

10 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Fgur 6. No flo- urv a ffr loas Fgur 7. Vbrao vloy- urv a ffr frqus 68 ISSN E-ISSN

11 .s.org/s Copur a Iforao S Vol. No. 5; Spbr a Eg frquy 5Hz b Eg frquy 6Hz Fgur 8. Vbrao vloy- urv a sa frqus Publsh by Caaa Cr of S a Euao 69

12 .s.org/s Copur a Iforao S Vol. No. 5; Spbr Fgur 9. Vbrao vloy- urv a ffr loas 7 ISSN E-ISSN