Australian Journal of Basic and Applied Sciences
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1 ISSN: strl Jorl o Bsc le Sceces Jorl ome ge: jsecom tol Cc Sle or Preserg te Postty o D Dt s K Frs Zor Yy Nrslst sl Uersty Mlys Perls Isttte o Egeerg Mtemtcs6 P Perls Mlys TICLE INFO rtcle story: ecee 6 rl 5 ccete Je 5 lle ole Jly 5 Keyors: Dt slzto Postty tol cc/cc terolto BSTCT I my scetc lctos te t scemes reqre to e smoot cotrollle le resere te etres o tese scemes Oe o te most mortt etres s ostty Ts ork tes to ress te rolem o reserg ostty o oste D t t coserg tt ter sly looks smoot cotrollle I orer to cee ts gol C ecese cc/cc sle cto roose te roose cto cots tree ree rmeters ec terl o ts costrcto smle t eeet costrts re ere or sgle se rmeter to resere te ostty trog ge oste t remg to rmeters re ree to cge or reemet te cre s esger ees Ts ork mke te esger cle o gettg te reqre smootess y resettg te stle se rmeter les Nmercl emles re roe to emostrte tt tcte scemes re ostty reserg smoot 5 ENSI Plser ll rgts resere To Cte Ts rtcle: s K Frs Zor Yy Nrslst sl tol Cc Sle or Preserg te Postty o D Dt st J Bsc & l Sc 9: INTODUCTION I te els o Comter e Geometrc Desg CGD Dt Vslzto DV Se Cotrol my t scemes reqre to e smoot cotrollle le reserg te se o te t reresetto Te rolem o se reserg scsse y my tors sc s Goom et l 998; Hss Hss 6; Ireem et l ; tey scsse te reserto o te erte sc roertes o t slzto ostty mootoy coety to to costre oer strgt le Tese sc roertes re estet te t slztos comg rom y socl or scetc els For emle oste -metol t mst e see te te leels o te gs scrge some cemcl rectos rogress o rreersle rocesses sze esty Srrz 99 Tese ere some o te yscl qttes tt re lys oste tere grcl slys re osese tey ere egte My metos t olyomls sc s Lgrge romto sle cto lt mtl cto roe smoot slly ccetle t reresetto t t lty or eecte lto mssg te ostty le ecese cc Hermte terolto olyoml s le to remoe te eecte lto t te se sly moel o ot grtee to resere ostty Ts ork se cc/cc rtol sle cto c resere ostty roce smoot cres or ge oste t Scmt Heβ 988 eeloe scet cotos to resere te ostely sg cc sle terolto o cc olyoml trog te ole terl Gregory Srrz 99 sggeste rtol cc sle t teso cotrol rmeter ec s terl or ot rtol B- sle teroltory tey lso lyze te eect o teso rmeter o te slzto o te cre t resect to rto o cotrol rmeter Presere te coety o te t y terl sso tecqe tt s y terl coety s lost te terl ee e to to s -terls teroltg tol kots tt terl Goom et l 99 sggeste to ls to resere te se o t lyg o oe se o te strgt le sg rtol cc cto te rst oe to resere te se o t locte oe strgt le trog sclg egts y some scle ctor Te seco l s resere te se o t y sertg e terolto ot Btt Brole 99 eeloe scet cotos te term o te rst me rtl erte t te rectglr gr to resere te se o oste D t sg ecese colc cto Corresog tor: s K Frs Uersty Mlys Perls Isttte o egeerg Mtemtcs 6 P Perls Mlys P: E-ml: smtm@gmlcom
2 498 s K Frs et l 5 Srrz 99 Ge escrto or te rmetrc cre to resere te se strte t some troctos o rtol cc terolto Goom et l 998 costrcte o-ler se reserg teroltg cre sceme tey ote cre trog otmzto rocess olg some ress crter orer to cee cre y ecese rtol cc cto Srrz et l troce ecese cc sle terolto t to ree se rmeters to resere ostty - coety o oste coe t tem reresetto resectely Lmert M roose rmetrc cc cre sc tt te cre s esly cotrollle y teso rmeters tey escre se-reserg terolto se o rmetrc cc cre roes scet cotos or ostty mootoy coety Goom ste te lgortms or te se-reserg terolto o D t els t ee ler o cre rmetrclly sm Brole eeloe ecese rtol cc cto to resere te ostty o oste t s ts cto o t resere te ostty te tors serte etr kots to mroe ts mtter tey lso eeloe te costrts o rmeters to resere te se o D t ots lyg oe te le Srrz Hss 6 eeloe ecese rtol cc cto t to ree rmeters to resere te ostty o oste t t t o reeom to se to ree te cre s esre Hss Srrz 8 resere ostty o cre sg ecese rtol cc cto t or ree rmeters sc tt to o tem re costre eeg o te oter to c re ree or te esger coce rter t tey etee tt rtol cc cto to rtol -cc cto t egt ree rmeters or reserg D t sceme y rrgg te t oer rectglr gr t o ee to sly tol kots Srrz Hss eeloe rtol cc cto t to ree rmeters to resere te se o D t tey lso etee te rtol cc cto to rtol cc cto to resere te se o oste srce t s et l se rtol cc/cc ecese terolto t tree ree rmeters roes more reeom to resere te mootoy o mootoe D slye t Srrz et l se te sme l Hss Srrz 8 to resere erte cre roertes ostty mootoy coety Sk et l resse te rolem o ostty coety o srces sg rtol -cc terolto olg egt ree se rmeters tere s o lmtto o te terolto lyg sece terl s et l resete cc/qrtc ecese terolto cotg tree ree rmeters orer to sole te rolem o costrctg ostty o cre trog ge oste t e ot sert y etr kots te roose terolto Ireem et l roose trgoometrc rtol terolto t or ree rmeters te gol o reserg te coety o te cre Hss Hss roose to-mesol se reserg lgortm or reserg te ostty mootoy coety costre oer strgt le te t reresetto te terolto se rtol cc/ler olg to ree rmeters Krm et l 4 ste te se o cc ll terolto or coety reserg o sclr t tey eeloe te scet coto or te coety-reserg o cc ll terlt t smootess egree Tt et l 4 se rtol cc ll terolto t or ree rmeters orer to resere te se o oste costre D t slzto sc tt to o tese ree rmeters re ree to grtee te reemet o te cre le te oter to re costre reresets oste D t Z et l 4 eeloe rtol cc ll terolto cotg tree ree rmeters orer to resere mootoy Ts er s ee rrge s I tol cc sle cto II Determe o Dertes III Postty reserg rtol cc sle terolto IV Nmercl Emles V Coclsos I tol cc/cc sle cto: Let e ge set o t ots ee oer te terl [ ] ere C ecese rtol cc/cc cto t tree ree [ ] rmeters oer ec sterl s ee s: S S ere re oste s costre se rmeters s ll e so secto III Te terolto s C stses te ollog teroltory cotos S S S S S ere eotes te rst orer erte t resect to eotes te erte le t kots Te ssttto o teroltory coto o te cto roces te les :
3 499 s K Frs et l 5 Tese les o yels te eqto to te orm q S ere It s mortt to so tt e set te te eqto clerly ecme te str cc Hermte olyoml II Determe o Dertes: lmost te erte rmeters re ko ece tey mst e eterme eter rom te t kots } { or y some oter lgerc mes I ts rtcle tey estmte rom te ge t ots sc tt te C smootess o terolto s resere Te meto elo s te romto se o ros mtemtcl teores Te escrtos o sc romtos re stte s ollog: III rtmetc Me meto: Ts s te tree ot erece romto meto M De P S 4: III Postty Preserg sg tol Cc Sle Iterolto: For ge t ot { } t Te m e s to costrct terolto S c s oste trog ec sterl ] [ I Tt s S ] [ Te ecese rtol cto oes ot esres reserg te se o oste t less te eqlty s stse Let s sose tt te t set to e oste s sc tt te terolto ee rect te oste t s oste cre Te eqto s stse oly te mertor eomtor re oste tt re: q Coserg tt te omtor s oste te cllege s to remrk stle les or te se rmeters orer to esres reserg te ostty o eomtor tt re: Trog te reslt moe y Scmt Heβ 988 [ ] I Were 4 6 : ere It s esy to so tt Ts: Teorem : Te C ecese rtol cc/cc olyoml s oste te ollog ostty cotos re cee: m Te eqlty oe c e reorme s: m C IV Nmercl Emles: Emle : Fg resets te slzto o te set o oste t cote tle I sg cc Hermte sle sceme It s oos tt Fg oes ot resere te ostty o te t For og te egte rt o te t slzto te reslts secto III se to geerte Fg Fg c t les o te ree se rmeters set s: oterse or or sg sg oterse or sg sg oterse
4 5 s K Frs et l 5 5 [ ] resectely It clerly tt [ ] Fg c s more lest smoot s comre to Fg Tle I: set o oste t Srrz Hss Tle II: Oyge leels le gs Jr et l Fg : Geerte sg cc Hermte sle Fg : Is r y sg te sceme eeloe secto III t te les o ree rmeters set s: 5 Fg c: Is r trog sg te sceme eeloe secto III t te les o ree se rmeters [ ] [ ] set s: Emle : Fg resets te slzto o te set o oste t cote tle II sg cc
5 5 s K Frs et l 5 Hermte sle sceme It s oos tt Fg oes ot resere te ostty o te t I orer to resere te cre ostty te reslts secto III se to geerte Fg Fg c t les o te ree se rmeters set s: [ [ resectely Oe c esly otce tt Fg c s more lest smoot t Fg Fg : Proct y sg cc Hermte sle sceme Fg : Dr sg te reslts eeloe secto III to resere te ostty o te t se t te 5 les o se rmeters Fg c: Dr sg te reslts eeloe secto IV to resere te ostty o te t se t te [ 5 5 les o se rmeters : [ V Coclso: ecese rtol cc/cc terolto ole tree se rmeters s ee eeloe to ot smoot oste cre Oe o ts se rmeter s eeet to esre te se ostty o te t le oter to re let er esger s ll to ree te cre s ee It s oos tt te crese ecrese o costre le o te se rmeters my ect te smootess ostty o te t slzto cres CKNOWLEDGEMENT Te tors re lese to ckolege te oymos reerees ose lle commets sggesto me ts mscrt more sel I m lso grtelly ckolege Uersty Mlys Perls-Mlys e to ll cltes sort
6 5 s K Frs et l 5 EFEENCES s M Mj MNH g JM l Mootocty reserg terolto sg rtol sle Itertol Mlt Coerece o Egeerg Comter Scece IMECS Hog Kog s M Mj MNH g JM l Postty-reserg C rtol cc sle Iterolto Sceces 9: 8- s M JM l Mj tol Sle or Preserg te Se o Poste Dt Itertol Jorl o Comter Electrcl Egeerg 55 sm M KW Brole Cre rg sject to oste more geerl costrs Comter Grcs 7: Brole KW S Btt 99 Preserg Coety Usg Pecese Cc Iterolto Comter Grcs 5: 5- Btt S KW Brole 99 Preserg ostty Usg Pecese Cc Iterolto Comter Grcs 7: De M SP 4 Postty Preserg Iterolto o Poste Dt y tol Qrtc Trgoometrc Sle IOS Jorl o Mtemtcs IOS-JM : 4-47 Goom TNT Se Preserg Iterolto y Cres lgortms or romto Uersty o Hersel UK 4-5 Goom TNT BH Og K Usort 99 Costre Iterolto Usg tol Cc Sles NUBS or Cre Srce Desg G Fr e SIM Plel Goom TNT BH Og ML Smol 998 tomtc terolto y r se reserg G sce cre Comter e Desg : 8-8 Gregory J M Srrz 99 rtol cc sle t teso Comter e Geometrc Desg 7-4: - Hss Z P Mt Z Yy 4 Mootocty reserg C rtol cc Bll terolto IP Coerece Proceegs 65: 4 Hss M MZ Hss M Srrz Dt Vslzto Usg Sle Fcto Pkst Jorl Sttstc Oerto eserc 4: 8- Hss MZ M Hss 6 Vslzto o Srce Dt Usg tol Bcc Sle Jorl o Mtemtcs ISSN : 85- C Hss MZ M Hss Poste Scttere Dt Iterolto Comter Mtemtcs t lctos 59: Hss MZ M Srrz 8 Posttyreserg terolto o oste t y rtol ccs Jorl o Comter le Mtemtcs 8: Hss MZ M Srrz Cms Se Preserg Srce or te Vslzto o Poste Coe Dt sg sg tol Bqrtc Sles Itertol Jorl o Comter lctos 7: Ireem F M Hss MZ Hss tol Trgoometrc Cc Sle to Cosere Coety o D t Egyt Iormtcs Jorl 4: 5-9 Jr WNW P M s 4 Se Preserg Poste C tol cc ll terolto IP Coerece Proceeg 65: 5 Krm S MK Hs J Slm 4 Coety Preserg Usg GC Cc Bll Iterolto le Mtemtcl Sceces 4: 87- Lmert P C M Sereserg C ctol terolto rmetrc ccs Nmecl lgortms 8: 9-54 Srrz M MZ Hss 6 Dt slzto sg rtol sle terolto Jorl o Comttol le Mtemtcs 896: 5-55 Srrz M MZ Hss Poste t moelg sg sle cto le Mtemtcs Comtto 6: 6-49 Srrz M 99 Se Preserg tol Cc Iterolto Etrct Mtemtce 8-: 6- Srrz M Vslzto o oste coe t y rtol cc sle terolto Iormto scece 46: 9-54 Srrz M MZ Hss M Hss Se-reserg Cre Iterolto Itertol Jorl o Comter Mtemtcs 89: 5-5 Srrz M Mootoe reserg terolt t teso cotrol sg qrtc y ler cto Jorl o scetc reserc : - Scmt JW W Heβ 988 Postty o cc olyoml o terls oste sle terolto BIT 8: 4-5 Sk TS M Srrz MZ Hss Se Preserg Poste Coe Dt Vslzto Usg tol B-cc Fctos Pkst Jorl Sttstc Oerto eserc : -8 Tt N M P Z Yy 4 Postty Preserg tol Cc Bll Costre Iterolto IP Coerece Procee 5
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