{"id":715,"date":"2026-06-01T08:53:20","date_gmt":"2026-06-01T08:53:20","guid":{"rendered":"https:\/\/planetary-gearboxes.com\/?p=715"},"modified":"2026-06-01T08:53:20","modified_gmt":"2026-06-01T08:53:20","slug":"planetary-gearbox-inertia-matching-ratio-calculation","status":"publish","type":"post","link":"https:\/\/planetary-gearboxes.com\/tr\/planetary-gearbox-inertia-matching-ratio-calculation\/","title":{"rendered":"Planet Di\u015fli Kutusu Atalet E\u015fle\u015ftirme \u2014 Oran Se\u00e7imi ve Servo Performans\u0131"},"content":{"rendered":"
<\/p>\n Her Koreli servo m\u00fchendisi bunu bilir. Atalet oran\u0131 \u00f6nemlidir<\/strong> \u2014 ancak \u00fc\u00e7 tahrik topolojisinin (do\u011frudan ba\u011flant\u0131, kay\u0131\u015f tahriki, kremayer ve pinyon) tamam\u0131nda bunu hesaplamak ve en uygun di\u015fli oran\u0131n\u0131 se\u00e7mek i\u00e7in sistematik bir y\u00f6nteme sahip olan \u00e7ok az ki\u015fi var. Uyumsuz bir atalet oran\u0131 genellikle an\u0131nda ar\u0131zaya neden olmaz: servo karars\u0131zl\u0131\u011f\u0131na neden olur, elde edilebilir bant geni\u015fli\u011fini s\u0131n\u0131rlar ve kontrol m\u00fchendisini kazan\u00e7lar\u0131 d\u00fc\u015f\u00fcrmeye zorlar; bu da makine verimlili\u011fini donan\u0131m\u0131n potansiyelinin alt\u0131nda kal\u0131c\u0131 olarak s\u0131n\u0131rland\u0131r\u0131r.<\/p>\n EP-AB Hassas Seri'yi G\u00f6r\u00fcnt\u00fcle \u2192 <\/p>\n Her planet di\u015fli kutusu atalet e\u015fle\u015ftirme k\u0131lavuzu ve servo hareket kontrol\u00fc ders kitab\u0131nda bir kural belirtilir: Y\u00fck-motor atalet oran\u0131n\u0131 hedef bir de\u011ferin alt\u0131nda tutun; bu de\u011fer kayna\u011fa ba\u011fl\u0131 olarak genellikle 5:1, 10:1 veya 30:1 olarak belirtilir. Bu kural\u0131n fiziksel k\u00f6kenini anlamadan uygulayan Koreli m\u00fchendisler genellikle yanl\u0131\u015f uygularlar; ya \u00e7ok muhafazakar (gereksiz yere b\u00fcy\u00fck bir di\u015fli kutusu kullanmaya zorlarlar) ya da \u00e7ok m\u00fcsamahakar (ayarlayarak gideremeyecekleri karars\u0131zl\u0131\u011f\u0131 kabul ederler) hedefler se\u00e7erler.<\/p>\n Atalet oran\u0131 s\u0131n\u0131r\u0131n\u0131n fiziksel k\u00f6keni, servo kontrol d\u00f6ng\u00fcs\u00fcn\u00fcn tork bozulmalar\u0131n\u0131 reddetme yetene\u011fidir. Bir di\u015fli kutusu arac\u0131l\u0131\u011f\u0131yla bir y\u00fck\u00fc tahrik eden bir servo motoru d\u00fc\u015f\u00fcn\u00fcn. Motor enkoderi motor \u015faft\u0131n\u0131n konumunu \u00f6l\u00e7er; servo kontrol\u00f6r\u00fc konum hatas\u0131n\u0131 d\u00fczeltmek i\u00e7in bir tork komutu hesaplar. Y\u00fcke harici bir bozucu tork etki etti\u011finde \u2014kesme kuvveti, darbe, ani s\u00fcrt\u00fcnme de\u011fi\u015fimi\u2014 motor, komut edilen konumu geri y\u00fcklemek i\u00e7in d\u00fczeltici bir tork \u00fcretmelidir. Motorun bozulmay\u0131 alg\u0131lay\u0131p d\u00fczeltebilece\u011fi h\u0131z, servo d\u00f6ng\u00fcs\u00fc bant geni\u015fli\u011fidir.<\/p>\n ATALET ORANI VE BANT GEN\u0130\u015eL\u0130\u011e\u0130 \u0130L\u0130\u015eK\u0130S\u0130<\/p>\n T_motor = (J_motor + J_y\u00fck\/i\u00b2) \u00d7 \u03b1_motor + T_s\u00fcrt\u00fcnme<\/p>\n Tan\u0131m: J_toplam = J_motor + J_y\u00fck\/i\u00b2 Servo bant geni\u015fli\u011fi \u03c9_c (rad\/s) \u2014 basitle\u015ftirilmi\u015f a\u00e7\u0131k d\u00f6ng\u00fc: \u2192 J oran\u0131 artt\u0131k\u00e7a elde edilebilir bant geni\u015fli\u011fi azal\u0131r. Bu bant geni\u015fli\u011fi azalmas\u0131, servonun ne kadar h\u0131zl\u0131 \u00e7al\u0131\u015fabilece\u011fini s\u0131n\u0131rlar: Atalet oran\u0131 kural\u0131 ikili bir ge\u00e7me\/kalma e\u015fi\u011fi de\u011fil, s\u00fcrekli bir performans \u00f6d\u00fcnle\u015fmesidir. J_oran\u0131 = 3 \"kabul edilebilir\" ve J_oran\u0131 = 4 \"kabul edilemez\" anlam\u0131na gelmez. Bu, J_oran\u0131 = 4'te elde edilebilir bant geni\u015fli\u011finin tek ataletli idealin 20%'si, J_oran\u0131 = 3'te ise 25% oldu\u011fu anlam\u0131na gelir. Bu %5'lik fark\u0131n \u00f6nemli olup olmad\u0131\u011f\u0131, uygulaman\u0131n gerektirdi\u011fi ivme profiline ve bozucu etki reddine ba\u011fl\u0131d\u0131r.<\/p>\n Kore end\u00fcstriyel uygulamalar\u0131nda planet di\u015fli kutusu atalet e\u015fle\u015fmesi i\u00e7in hedef J_oran\u0131 e\u015fikleri uygulama t\u00fcr\u00fcne g\u00f6re farkl\u0131l\u0131k g\u00f6sterir. Y\u00fcksek dinamik paketleme ve robot eklem eksenleri i\u00e7in hedef J_oran\u0131 \u2264 3't\u00fcr. Genel servo konumland\u0131rma eksenleri \u2264 10'u kabul eder. H\u0131z kontroll\u00fc tahrikler (konvey\u00f6rler, vida d\u00f6n\u00fc\u015f\u00fc) genellikle \u2264 30'da rahatt\u0131r. Di\u015fli oran\u0131 se\u00e7imi problemi, yans\u0131yan ataleti uygulama i\u00e7in uygun J_oran\u0131 hedefi i\u00e7inde tutan oran\u0131 bulmakt\u0131r.<\/p>\n<\/section>\n <\/p>\n Yans\u0131yan atalet form\u00fcl\u00fc, her tahrik topolojisi i\u00e7in farkl\u0131l\u0131k g\u00f6sterir: do\u011frudan d\u00f6ner kaplin, bilyal\u0131 vida veya kremayer di\u015fli yoluyla do\u011frusal hareket ve kay\u0131\u015f veya zincir tahriki. Farkl\u0131 makine tipleri \u00fczerinde \u00e7al\u0131\u015fan Koreli m\u00fchendisler, s\u0131kl\u0131kla d\u00f6ner form\u00fcl\u00fc do\u011frusal tahrike uygular veya di\u015fli kutusunun kendi atalet katk\u0131s\u0131n\u0131 hesaba katmay\u0131 unuturlar. A\u015fa\u011f\u0131daki t\u00fcretmeler, \u00fc\u00e7 topolojinin tamam\u0131n\u0131 do\u011fru \u015fekilde kapsar.<\/p>\n <\/p>\n Motorda yans\u0131yan toplam atalet: J_oran\u0131 = J_yans\u0131yan_y\u00fck \/ J_motor Not: J_gearbox_input \u015fu \u015fekilde sa\u011flanmaktad\u0131r: \u00d6nemli tespit:<\/strong> J_oran\u0131 i\u00b2 ile artar. Oran\u0131n iki kat\u0131na \u00e7\u0131kar\u0131lmas\u0131, yans\u0131yan ataleti 4 kat azalt\u0131r. Bu nedenle 3:1 oran\u0131, 36:1 J_oran\u0131n\u0131 sadece 4:1'e (= 36\/3\u00b2) d\u00fc\u015f\u00fcr\u00fcr.<\/div>\n<\/div>\n<\/div>\n <\/p>\n Di\u015fli oran\u0131 i (motor\u2192vida) ile: Ayr\u0131ca \u015funu da ekleyin: J_vida = \u00bd \u00d7 m_vida \u00d7 r_vida\u00b2 Di\u015fli \u00e7ark ve pinyon (\u015fanz\u0131man \u00e7\u0131k\u0131\u015f\u0131ndaki pinyon): \u00d6nemli tespit:<\/strong> Do\u011frusal hareket i\u00e7in y\u00fck ataleti hem makine k\u00fctlesine hem de mekanizma geometrisine (ilerleme veya ad\u0131m yar\u0131\u00e7ap\u0131) ba\u011fl\u0131d\u0131r. A\u011f\u0131r bir makine tablas\u0131 mutlaka y\u00fcksek atalete sahip de\u011fildir; k\u0131sa ilerlemeli bilyal\u0131 vida, yans\u0131yan ataleti \u00f6nemli \u00f6l\u00e7\u00fcde azalt\u0131r.<\/div>\n<\/div>\n<\/div>\n <\/p>\n Vites kutusu oran\u0131 i (motor\u2192tahrik kasna\u011f\u0131) ile: D\u00f6ner makara\/tambur da dahildir: De\u011fi\u015fken makara yar\u0131\u00e7ap\u0131 (film t\u00fckenmesi): \u00d6nemli tespit:<\/strong> Film makaralar\u0131, s\u0131f\u0131ra yak\u0131n (bo\u015f makara) de\u011ferden maksimum (dolu makara) de\u011fere kadar en u\u00e7 J oran\u0131 de\u011fi\u015fimini g\u00f6sterir. Sistem her iki u\u00e7 noktada da kararl\u0131 olmal\u0131d\u0131r. Di\u015fli oran\u0131, dolu makara J oran\u0131n\u0131 hedefte tutacak \u015fekilde se\u00e7ilir; bo\u015f makara durumu ise motor taraf\u0131ndan kontrol edilir ve do\u011fal olarak kararl\u0131d\u0131r.<\/div>\n<\/div>\n<\/div>\n
<\/p>\nPlanet Di\u015fli Kutusu Atalet E\u015fle\u015ftirme \u2014
\nServo Performans\u0131 i\u00e7in Di\u015fli Oran\u0131 Se\u00e7imi<\/h1>\n
\n<\/a><\/p>\n<\/div>\n<\/section>\nAtalet Oran\u0131n\u0131n Servo Performans\u0131n\u0131 Kontrol Etmesinin Nedenleri \u2014 Kural\u0131n Ard\u0131ndaki Fizik<\/h2>\n
\nJ_oran\u0131 = J_yans\u0131yan_y\u00fck \/ J_motor = (J_y\u00fck\/i\u00b2) \/ J_motor<\/p>\n
\n\u03c9_c \u221d K_p \/ J_toplam = K_p \/ [J_motor \u00d7 (1 + J_oran)]<\/p>\n
\n\u2192 J_oran\u0131 = 1 oldu\u011funda: bant geni\u015fli\u011fi = K_p \/ (2 \u00d7 J_motor) \u2014 idealin 50%'si
\n\u2192 J_oran\u0131 = 5'te: bant geni\u015fli\u011fi = K_p \/ (6 \u00d7 J_motor) \u2014 17% ideal
\n\u2192 J_oran\u0131 = 10'da: bant geni\u015fli\u011fi = K_p \/ (11 \u00d7 J_motor) \u2014 9% ideal<\/p>\n
\n\u2022 Konum komutlar\u0131na yan\u0131t verir (ivme profili e\u011fimini s\u0131n\u0131rlar)
\n\u2022 Bozulmalar\u0131 reddeder (kesme\/darbe kuvvetlerine kar\u015f\u0131 sertli\u011fi s\u0131n\u0131rlar)
\n\u2022 Hedef konuma yerle\u015fin (konumland\u0131rma s\u00fcresini s\u0131n\u0131rlar)<\/p><\/div>\n<\/div>\nYans\u0131t\u0131lan Atalet Hesaplamalar\u0131 \u2014 Tek Bir Referansta \u00dc\u00e7 Tahrik Topolojisi<\/h2>\n
\u2460 Do\u011frudan d\u00f6ner kaplin \u2014 d\u00f6nen y\u00fck (d\u00f6ner tabla, mafsal)<\/h3>\n
\nJ_toplam = J_motor + J_\u015fanz\u0131man_giri\u015fi + J_y\u00fck\/i\u00b2<\/p>\n
\n= J_y\u00fck \/ (i\u00b2 \u00d7 J_motor)<\/p>\n
\nKore Ever-Power EP teknik veri sayfas\u0131 (genellikle)
\n5\u201315% (standart servo motor i\u00e7in J_motor)<\/p><\/div>\n<\/div>\n\u2461 Do\u011frusal hareket \u2014 bilyal\u0131 vida veya kremayer di\u015fli (do\u011frusal eksen)<\/h3>\n
\nVidadaki k\u00fctle J = m \u00d7 (L\/2\u03c0)\u00b2<\/p>\n
\nJ_yans\u0131yan_k\u00fctle = m \u00d7 (L\/2\u03c0)\u00b2 \/ i\u00b2<\/p>\n
\nJ_vida_yans\u0131yans\u0131yan = J_vida \/ i\u00b2<\/p>\n
\nYans\u0131yan k\u00fctle J = m \u00d7 r_pinion\u00b2 \/ i\u00b2
\n(m = toplam hareketli k\u00fctle, r_pinion = e\u011fim yar\u0131\u00e7ap\u0131)<\/p><\/div>\n<\/div>\n\u2462 Kay\u0131\u015f veya zincir tahrikli \u2014 makara veya kasnak y\u00fck\u00fc (film makaras\u0131, konvey\u00f6r)<\/h3>\n
\nJ_y\u00fck\u00fc_tahrik_kasna\u011f\u0131nda = m \u00d7 r_kasnak\u00b2<\/p>\n
\nJ_y\u00fck_yans\u0131t\u0131ld\u0131 = m \u00d7 r_kasnak\u00b2 \/ i\u00b2<\/p>\n
\nJ_makara = \u00bd \u00d7 m_makara \u00d7 r_makara\u00b2
\nJ_reel_reflected = J_reel \/ i\u00b2<\/p>\n
\nr_full ve r_empty de\u011ferlerinde hesaplama yap\u0131n;
\nEn k\u00f6t\u00fc durum r_full'dur (maksimum J).<\/p><\/div>\n<\/div>\n