RESEARCH ON HYDRAULIC SERVO AMPLIFIERS USED IN MARINE SYSTEMS
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1 RESEARCH ON HYDRAUIC SERVO AMPIFIERS USED IN MARINE SYSTEMS Assoc Pof. Ph.D. Eng. Ai BEAZIT Mice ce Băân Nv Ace Consnţ 98 Roni ei: Pof. Ph.D. Eng. Gheoghe SAMOIESCU Mice ce Băân Nv Ace Consnţ 98 Roni ei: Pof. Ph.D. Eng. Sne CAISA UBC Mechnic Engineeing Deen Vncouve BC Cn V6RT ei: ecue Ph.D. Ain SPORIS Mice ce Băân Nv Ace Consnţ 98 Roni ei: Absc: This e esens nueic siuions fo he ecno-huic sevoifie wih seci in of isibuo. This isibuo hs iffeen coveing fo he ission n evcuion fow. The uose of his in of isibuo is o iinue he high fequenc uo-osciions of he sevoifie. Kewos: sevo-ifie sef-osciion high fequenc.. Schee of he sevo-ifie n he isibuo of iffeen covges beween ission n eos The schee of echnic-huic sevo-ifie wih he isibuo on he cine o is esene in fig.. o vein Fo u To n Fig. The schee of he sevo-ifie wih he isibuo on he cine o Fig. Disibuo of iffeen covege beween ission n eos The necess sizes fo he funcioning of his e of sevo-ifie e esene in he figue.one of he os ion obes eging he funcioning of he echnichuic sevo-ifies is he sef-osciion henoenon of high fequenc. This consiss of osciions wih fequencies u o Hz n iues of seve enhs of iiees of he oee coonen. The fequenc of hese osciions eens on he iensions of he sevo-ifie cine on he wih of he isibuo sos on he chceisics of he huic fui n he oee ss. On he bo of he hofoi shis he fequenc of hese osciions is big becuse he ss of he con sufces is euce. The esence of hese osciions cn inuce he buzz-fue henoenon of he con sufces in nsonic w n cn soici when won he coonens in he chin of cons n he ffeen sucue of he con sufces. Due o he big fequenc of he osciions n he euce iue he infuence ove iving of he hofoi shis is s if he sevo-ifie is of n ievesibe e. 5 Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X
2 Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X 6 The consucion souions o eiine he high fequenc osciions e vie n ong he hee e: using isibuos wih ingu sos using conoe fui osses beween he sevo-ifie ces using isibuos of iffeen covege beween ission n eos using huic newos of eucing he osciions. Ech of hese ehos hs boh vnges n isvnges. Using isibuo of iffeen covege beween ission n eos hs he vnge of no eucing he fequenc of he sevo-ifie n inins he high igii of he huic cion bu i oes no coee eiine he high fequenc osciions bu hei fs ecese. The schee of he isibuo of iffeen covege beween ission n eos is esene in fig. []. The funcioning incie consiss in sgge beween he oening of he ission n eos sos so h he fui in he ce ou of which he eos es ce o be coise n o e ove he essue iuses h e he oening of he ission sos. This w he ossibii of oveen of he ison is euce n he high fequenc osciions which wi fuhe oge in he chin of cons wi hve he iue owee o he vue eeine b he coessibii of he fui vue which is owe hn he one obine in he cse of he isibuo wih ecngu sos wih efec covege. We enion he fc h he osciion henoenon of high fequenc es even if he isibuo hs osiive covege bu equ fo he ission n eos sos. This sse uses osiive covege o he isibuo which es o he inoucion of non-inei of he e e fo he ission n eos ouus. The heic oeing on he ine ens is no suibe fo suing such sevo-ifies bu he su wih he he of ens wih non-ine ss ouus cn si be eveoe ou of he heic en of he sevo-ifie wih ecngu sos [].. The funcioning equions of he sevo-ifie B noing wih n he ission n eos covege n consieing he sevo-ifie of he one in ig we obin he equions of he ssic ouus i n e n : In oe o eeine he essues in he cine ces we use he ne se equion of he huic fui s we s he fous fo he fui quniies in he cine ces n he voues of he cine ces.
3 Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X 7 The foowing essues esu: S i ; S e 3 To hese equions he oveen equion of he oee ss f S 4 Fo he nueic siuion is usefu he non-iensioning of he equions. Using he noes ; ; ; ; ; ; ; T ; ; ; ST ; ft 3 ; T 4 ; V T whee eesens he iu oening of he isibuo he foowing fous esu [3]: S i ; S e The nueic siuion n he obine esus Fo he nueic siuion of his e of sevo-ifie we hve consiee he foowing vues fo he sizes h inevene: =5 b; = 7; = ; =5 g/ 3 ; = ; = 8 g; f=6ns/; =3 6 N/; ij =3 ; ison =5 ; = 6 ; S=56-3 ; / E = MP. Ou of he nueic siuion of he funcioning of his e of sevo-ifie seve ineesing secs esu. The high fequenc osciions o no ise coee bu cn be quic euce b choosing he igh covege on ission n eos.
4 We eize nueic su eging he oi choice of hese wo sizes. We use n en sign coose of h inceses fo o =5 in ie of T foowe b he eu his vue. B giving iffeen vues o n we hve obseve h n oi choice of hese vues cn be e. Fo he consiee vues hve been [; ; 4; 6; 8; ; ] which if being iensionize wih he iu oening of he isibuo becoe =[; ; ; 3; 4; 5; 6] n fo [; 5; 8; ; 4; 7; 3] which if being iensionize becoe =[6; 75; 9; 5; ; 35; 5]. Fo ech of hese is he nswe in ie of he sevo-ifie ws ine he secifie sign n he iu iue of he high fequenc osciions he sion eo n he eo of wo successive i wee eeine which offe bee ige ove he oizion eve of he osciions. The ghics in ig 3 wee obine ou of which he foowing concusions cn be wn [4] [5]. The sion eo inceses he se ie wih he covege eos. An ineesing sec is h in oe fo he covege ission beween n consiee fo he eos covege = he osciions e ouce oun oin which coesons o bigge oveen of he sic hn he one coesoning o he ie sign. The high fequenc osciions e no iinishe in hese cses. Theefoe his is n e o be voie in he consucion of he sevo-ifie. Regess of wh he covege ission is he iue of he fis iu oveeguion esens iniu eening on he eos covege. I cnno be secifie n oiu eo beween he wo coveges bu he iniu cn be foun beween = [7; 35] n i onoonous inceses in ooion o he ission covege. The oiu eo / onoonous eceses o 375 when = 3 when =. The io of wo successive i of he high fequenc osciions is esene in ig 3.c. his offes n ige ove he enuion e b he sevo-ifie. I is obseve he fc h ie his eo i esens iniu fo ech of he consiee coveges ission. Ahough he iensioning of he sevo-ifie isibuo cn be oiize in ooion o he wo coveges so h goo nic quiies be obine. Howeve i is obseve h hough his eho of enuion of he high fequenc osciions hese o no coee ise s i cn be seen in ig 4 which esens he viion of he sevo-ifie se ees fo n inu sign enione bove n he coveges = 3 n =. In figues 5 n 6 he viions of he sevo-ifie se ees e esene fo he cse of sinusoi inu sign wih he iensionize iue A = n he iensionize usion = 8-3 n = 8-4. Fo he esene cses he goih of nueic siuion in he SIMUINK oge ws Don-Pince wih vibe ich wih n iose eive eo of -. 8 Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X
5 oveeguion iensionze Sion eo iensionze Aiue io iensionze Oveeguion Sion eo Aenuion io [iensionize] [iensionize] [iensionize] b c Fig. 3 The viion of he high fequenc osciions ees fo he cse of he isibuo wih iffeen coveges ission n eos In oe o coe in figue 4 i is esene he viion of he ouu sign fo he cse of he isibuo wih efec covege he se ees of he sevo-ifie. I cn be obseve he highe iue of he osciions n he fc h hei iue eins consn in ie [5]. inu sign ouu sign essue essue [iensionize] [iensionize] [iensionize] [iensionize] b c ouu sign [iensionize] Fig. 4 Viion of he se ees fo he inu sign foowe b he eu A =5 = 3 = [iensionize] [iensionize] [iensionize] [iensionize] b c Fig.5. Viion of he se ees fo he sinusoi inu sign =8-3 A = = 3 = 9 Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X
6 [iensionize] [iensionize] [iensionize] [iensionize] b c Fig. 6. Viion of he se ees fo he sinusoi inu sign =8-4 A = = 3 = 4. Concusions This eho of enuion of he osciions of sevo-ifie gives goo esus in he cse of he foowe b eu e of inu signs. In his siuion he covege vues cn be chosen in such w o iniize he enuion ie. Fo he ow fequenc sinusoi inu signs he high fequenc osciions e iinishe in iue s oose o he cse of he isibuo wih efec covege bu he o no coee ise. Fo his ohe enuion ehos us be use. Refeences []. ungu A. Mşini şi cţionăi hiuice Bucueşi Eiu Tehnică 999 g []. Căinoiu C. ş.. Moee siue şi ienifice eeienă sevoecniseo hiuice. Bucueşi Eiu Tehnică 998 g [3]. Vsiiu N. s.. Sevoecnise hiuice şi neuice vo. I Bucueşi Univesie Poiehnică 99 iogfi. [4]. Po I. Insţii hioneuice nve Eiu Aceiei nve Mice ce Băân Consnţ 7 g [5]. Pee P Nicoe I. Acţionăi hiuice şi uoizăi Eiu Nusic Bucueşi Fibiie si Dubiie - Fibii & Dubii n./ Eiu Aceic Bâncuşi Tâgu Jiu ISSN X
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