Compound Planetary Gear.doc

8/16/2019 Compound Planetary Gear.doc

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Compound Planetary Gear - Compound

planetary gear set of carrier, ring,

planet, and sun wheels with adjustablegear ratios and friction losses

Library

Gears

Description

The Compound Planetary Gear block represents a set of carrier, sun, planet, and ring gear

wheels. The planetary shaft has two gear wheels with different radii meshing with thering and the sun, respectively. The ring and planet corotate with one fixed gear ratio. The

planet and sun corotate with another fixed gear ratio. For this reason, a compound

planetary gear is also called a dual-ratio planetary gear. For model details, see CompoundPlanetary Gear odel.

Compound Planetary Gear Set

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Viewing a echanical Drawing of the Compound Planetary Gear

Click here to open a detailed mechanical drawing of the compound planetary gear set.

Viewing a Dual-!atio Planetary Gear "nimation

!f you are connected to the !nternet, have an "#!$compatible media streaming applicationinstalled on your system, and want to play a recorded animation of this system%

&. Click the following link. 'hen the download dialog opens, choose Sa#e to file

and specify a file name and location on your system.

(. Click $% to save the "#! file to your system.

). *nce the downloading is complete, start the "#! animation on your system.

!f you do not have an "#!$compatible application, consider using the "T+"-

VideoReader class and its read method instead.

ownload animation

Ports

C, /, and 0 are rotational conserving ports representing, respectively, the carrier, ring,

and sun gear wheels.

http://www.mathworks.cn/help/toolbox/physmod/sdl/drawings/compound_planetary_mech_drawing.gifhttp://www.mathworks.cn/help/techdoc/ref/videoreaderclass.htmlhttp://www.mathworks.cn/help/techdoc/ref/videoreader.read.htmlhttp://www.mathworks.cn/help/toolbox/physmod/sdl/animations/sdl_compound_planetary.avihttp://www.mathworks.cn/help/toolbox/physmod/sdl/drawings/compound_planetary_mech_drawing.gifhttp://www.mathworks.cn/help/techdoc/ref/videoreaderclass.htmlhttp://www.mathworks.cn/help/techdoc/ref/videoreader.read.htmlhttp://www.mathworks.cn/help/toolbox/physmod/sdl/animations/sdl_compound_planetary.avi


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Dialog &o' and Parameters

The dialog box has one active area, Parameters, with three tabs.

ain


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!ing (!) to planet (P) teeth ratio (*!+*P)

Fixed ratio g /P of the ring gear to the planet gear. The gear ratio must be strictly

greater than &. The default is 2.

Planet (P) to sun (S) teeth ratio (*P+*S)

Fixed ratio g P0 of the planet gear to the sun gear. The gear ratio must be strictly

positive. The default is 1.

eshing Losses

riction model

0elect how to implement friction losses from nonideal meshing of gear teeth. The

default is No meshing losses.

• No meshing losses — Suitable for HIL simulation 1 Gear

meshing is ideal.• Constant efficiency 1 Transfer of tor2ue between gear wheel pairs is

reduced by a constant efficiency η satisfying 3 4 η 5 &. !f you select this

option, the panel changes.

Constant 6fficiency

Viscous Losses

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Sun-carrier and planet-carrier #iscous friction coefficients

#ector of viscous friction coefficients 7 μ0 μP8 for the sun$carrier and planet$carrier

gear motions, respectively. The default is [ !.

From the drop$down list, choose units. The default is newton$meters9:radians9second; :N"m#$rad#s%;.

Compound Planetary Gear odel

deal Gear Constraints and Gear !atios

Compound Planetary Gear imposes two kinematic and two geometric constraints on the

three connected axes and the fourth, internal wheel :planet;%

r CωC < r 0ω0= r P&ωP , r C < r 0 = r P& ,

r / ω/ < r CωC= r P(ωP , r / < r C = r P( .

The ring$planet gear ratio g /P < r / 9r P( < N / 9 N P( and the planet$sun gear ratio g P0 < r P&9r 0 <

N P&9 N 0. N is the number of teeth on each gear. !n terms of these ratios, the key kinematic

constraint is%

:& = g /P> g P0;ωC < ω0 = g /P> g P0ω/ .

The four degrees of freedom reduce to two independent degrees of freedom. The gear pairs are :&,(; < :P(,/; and :0,P&;.

.arning The gear ratio g /P must be strictly greater than one.

The tor2ue transfers are%

g /Pτ P( = τ / ? τ loss:P(,/; < 3 , g P0τ 0 = τ P& ? τ loss:0,P&; < 3 ,

with τ loss < 3 in the ideal case.

*onideal Gear Constraints and Losses

!n this case, τ loss @ 3. 0ee odeling Gears with +osses in odeling rivelineComponents.

Limitations

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"ll gear ratios must be strictly positive. Gear blocks do not model inertia or compliance.

Coulomb friction simulation increases model fidelity but reduces simulation

performance. 0ee "dAusting odel Fidelity in "nalyBing riveline odels and0imulations.

0enyawa Planetary Gear $ gigi planet pembawa 0enyawa set, cincin, planet, dan roda

matahari dengan rasio roda gigi disesuaikan dan kerugian gesekan

PerpustakaanGears

eskripsi

lok Planetary Gear 0enyawa merupakan satu set carrier, matahari, planet, dan roda gigi

cincin. Poros planet memiliki dua roda gigi dengan Aari$Aari yang berbeda meshing

dengan cincin dan matahari, masing$masing. Para corotate cincin dan planet dengan satu

rasio roda gigi tetap. Planet dan matahari corotate dengan yang lain gear ratio tetap.

ntuk alasan ini, sebuah gigi planet senyawa Auga disebut gigi planet dual$rasio. ntukdetail model, lihat Compound Planetary Gear odel.

0enyawa Planetary Gear 0et

elihat Gambar ekanik Planetary Gear Compound

Dlik di sini untuk membuka gambar mekanik rinci set senyawa gigi planet.elihat "nimasi sebuah /asio$ual Planetary Gear

Eika anda terhubung ke !nternet, memiliki media streaming yang kompatibel "#!$aplikasi

diinstal pada sistem anda, dan ingin memainkan animasi dicatat dari sistem ini%

&. Dlik link berikut. Detika dialog download terbuka, pilih 0ave ke file dan tentukannama file dan lokasi di sistem anda.

(. Dlik *D untuk menyimpan file "#! ke sistem anda.). 0etelah download selesai, Aalankan animasi "#! pada sistem anda.Eika "nda tidak memiliki aplikasi "#!$kompatibel, pertimbangkan untuk menggunakan

kelas "T+" - #ideo/eader dan metode yang dibaca sebagai gantinya.

ownload animasiPelabuhan

C, /, dan 0 adalah port melestarikan rotasi yang mewakili, masing$masing, roda matahari

pembawa, cincin, dan gigi.ialog ox dan Parameter

Dotak dialog memiliki satu area aktif, Parameter, dengan tiga tab.

tama

/ing :/; ke planet :P; rasio gigi :/ 9 P;

rasio Tetap G/P dari gigi cincin ke gigi planet. /asio gear harus benar$benar lebih besardari &. default adalah (.

Planet :P; dengan matahari :0; rasio gigi :P 9 0;

rasio tetap GP0 gigi planet ke gigi matahari. /asio gear harus benar$benar positif.efaultnya adalah &.

http://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bqbdaga-1.html#bqbdaga-2http://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bp6uvaj.htmlhttp://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bp6uvaj.htmlhttp://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bqbdaga-1.html#bqbdaga-2http://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bp6uvaj.htmlhttp://www.mathworks.cn/help/toolbox/physmod/sdl/ug/bp6uvaj.html


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eshing Derugian

Gesekan modelPilih cara mengimplementasikan kerugian gesekan dari meshing nonideal gigi gear.

0tandarnya adalah o kerugian meshing.

Tidak ada kerugian meshing $ Cocok untuk simulasi H!+ $ meshing Gear ideal. 6fisiensi Donstan $ Pemindahan torsi antara pasangan roda gigi yang direduksi dengan

suatu konstanta efisiensi I memuaskan 3 4I 5 &. Eika "nda memilih pilihan ini,

perubahan panel. Donstan 6fisiensi

Derugian kental

0un$carrier dan planet$carrier koefisien gesekan viskos#ektor koefisien gesekan viskos 7mikrodetik JP8 untuk carrier$matahari dan gerakan

planet$carrier gigi, masing$masing. efaultnya adalah 73 38.

ari daftar drop$down, pilih unit. 0tandarnya adalah newton$meter 9 :radian 9 detik; : K

m 9 :rad 9 s;;.0enyawa Planetary Gear odel

!deal Gear Dendala dan /asio Gear 0enyawa Planetary Gear memaksakan dua kinematik dan dua kendala geometris pada

tiga sumbu terhubung dan roda, keempat internal :planet;%

rCLC < r0L0 = rP&LP, rc < r0 = /p&,r/L/ < rCLC = rP(LP, // < rc = /p(.

/oda gigi cincin$planet rasio G/P < r/9rP( < /9P( dan planet$matahari gear rasio

GP0 < rP&9r0 < P&90. adalah Aumlah gigi pada gear masing$masing. alam hal ini

rasio, kinematik kendala utama adalah%:& = G/P GP0; LC < L0 = G/P gP0L/.

6mpat deraAat kebebasan mengurangi sampai dua deraAat kebebasan independen.

Pasangan gear :&,(; < :P(, /; dan :0, P&;.Peringatan G/P gear ratio harus benar$benar lebih besar dari satu.

Transfer torsi adalah%

g/PMP( = M/ $ Mloss :P(, /; < 3, gP0M0 = MP& $ Mloss :0, P&; < 3,dengan Mloss < 3 dalam kasus yang ideal.

onideal Gear Dendala dan Derugian

alam hal ini, Mloss @ 3. +ihat Pemodelan Gears dengan Derugian di odeling driveline

Domponen.Deterbatasan

0emua rasio roda gigi harus benar$benar positif. Gear blok tidak inersia model atau

kepatuhan.simulasi gesekan Coulomb meningkatkan kesetiaan model tetapi mengurangi kinerAa

simulasi. +ihat enyesuaikan Fidelity odel dalam enganalisis odel driveline dan

0imulasi.

Compound Planetary Gear.doc

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