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Worm gear correction x Worm size can be specified using the: worm diameter factor q helix direction γ pitch diameter d 1 Auxiliary Geometric Calculations Design. Worm Gears: Technical Information Characteristics The simplest way to obtain a large speed reduction with high torque in a compact space is with worm gear drives. KHK stock worms.
*Worm Gear Design Formula
*Worm Gear Calculation Formula
*Worm Gear Ratio Formula
*Worm Gear Design Calculator
*Worm Gear Calculation; A worm gear box must contain a worm and a mating gear (helical gear) and normally the axis of the worm is perpendicular to the axis of the gear. Look at the picture below: Where, Calculations for worm gears are the same as for. Worm Gearing 50 Lead Angle Worm threads are. Perature and the details of the gear mesh design.
*Gear Design National Broach and Machine Division,of Lear Siegler, Inc. A gear can be defined as a toothed wheel which, when meshed with another toothed wheel with similar configura-tion, will transmit rotation from one shaft to another. Depending upon the type and accuracy of motion desired, the gears and the profiles of the gear teeth can be.A worm gear box must contain a worm and a mating gear (helical gear) and normally the axis of the worm is perpendicular to the axis of the gear. Look at the picture below:Where,
Calculations for worm gears are the same as for. Worm Gearing 50 Lead Angle Worm threads are. Perature and the details of the gear mesh design. Worm gear.pdf - Free download as PDF File (.pdf), Text File (.txt) or read. Of a worm gear is related to its circular pitch and number of teeth Z by the formula.D1 – Pitch Diameter of WormD2 – Pitch Diameter of GearC – Centre to Centre Distance between the Worm and the GearThis worm gear design tutorial will discuss up to the selection of the module and pitch and the calculation of the number of teeth, pitch circle diameter and centre to centre distance between the worm and gear. We will use the AGMA formulae for doing the calculations. Design calculations of the other aspects of the worm gear will be discussed in a subsequent part of the tutorial.Steps of the Design CalculationThe axial pitch of the worm and the circular pitch of the gear must be same for a mating worm and gear. We will use the term Pitch (P) for both the pitch in this tutorial.Also, the module of the worm as well as the gear must be equal for a mating worm and gear.Now, let’s say we have the following design input:Speed of the Worm (N1) = 20 RPMSpeed of the Gear (N2) = 4 RPMAnd, we have to find out the Module (m), Pitch (P), Number of helix of Worm (T1), Number of teeth of Gear (T2), Pitch circle diameter of Worm (D1), Pitch circle diameter of Gear (D2), Centre to centre distance(C).Select the suitable module and its corresponding pitch from the following AGMA specified table:Module m (in MM) – Pitch P (in MM)2 ————————-6.238Worm Gear Calculation2.5 ———————- 7.8543.15 ——————— 9.8964 ————————- 12.5665 ————————- 15.7086.3 ———————– 19.7928 ————————– 25.133 1976 mercury 50 hp repair manual.10 ————————- 31.41612.5 ———————– 39.27Altera quartus ii 13 0 cracked. 16 ————————– 50.62520 ————————– 62.832Say, we are going ahead with the Module as 2 and the Pitch as 6.238.Use the following gear design equation:N1/N2 = T2/T1And, we will get:T2 = 5 * T1……………….Eqn.1Now use the following AGMA empirical formula:T1 + T2 > 40………………Eqn.2By using the two equations (Eqn.1 & Eqn.2), we will get the approximate values ofT1 = 7 andT2 = 35Calculate the pitch circle diameter of the worm (D1) by using the below AGMA empirical formula:D1 = 2.4 P + 1.1 = 16.0712 mmThe following AGMA empirical formula to be used for calculating the pitch circle diameter of the gear (D2):D2 = T2*P/3.14 = 69.53185 mmNow, we can calculate the centre to centre distance (C) by the following equation:C = (D1 + D2)/2 = 42.80152 mmThe below empirical formula is the cross check for the correctness of the whole design calculation:(C^0.875)/2 <= D1 <= (C^0.875)/1.07Observe that our D1 value is falling in the range.ConclusionThe worm gear box design calculation explained here uses the AGMA empirical formulas. A few worm gear design calculator are available on web, and some of them are free as well.In the next worm gear box design calculation tutorial we will discuss the force analysis of a worm gear box.Related ReadingHelical Gear vs. Spur Gear: If you have observed a spur gear application, you may have noticed that spur gear can be replaced by helical gear. Where should a helical gear should be used? What are the benefits and disadvantages of doing so?
Input Parameters
Teeth type - common or spiral
Gear ratio and tooth numbers
Pressure angle (the angle of tool profile) α
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Module m (With ANSI - English units, enter tooth pitch p = π m) Worm Gear Design Formula
Unit addendum ha*
Unit clearance c*
Unit dedendum fillet rf*
Face widths b1, b2
Unit worm gear correction x
Worm size can be specified using the:
*worm diameter factor q
*helix direction γ
*pitch diameter d1
Auxiliary Geometric Calculations
Calculated parameters
Common gearing ZN
Axial module
mn = m
Normal module
mx = mn cos γ
Axial pressure angle
αx = a
Normal pressure angle
αn = arctg (tg α cos γ)
Helix/lead angle
γ = arcsin z1/q
Spiral gearing ZA
Axial module
mn = mx / cos γ
Normal module
mx = m
Axial pressure angle
αn = arctg (tg α cos γ)
Normal pressure angle
αx = α
Helix/lead angle
γ = arctan z1/q
The configuration details for this step can be found in the installation guide.
Normal tooth pitch
Axial tooth pitch
px = πx
Basic tooth pitch
Lead
pz = z1 px
Virtual/alternate number of teeth
Helix angle at basic cylinder
sin γb = sin γ cos αn
Worm pitch cylinder diameter
Worm gear pitch circle diameter
d2 = z2 mx
Worm outside cylinder diameter
Worm gear outside circle diameter
da2 = d2 + 2m (ha* + x)
Worm root cylinder diameter
Worm gear root circle diameter
df2 = d2 - 2m (ha* + c* - x)
Worm rolling(work) circle diameter
Worm gear rolling(work) circle diameter
dw2 = d2
Worm gear root circle diameter
Center distanceWorm Gear Calculation Formula
Chamfer angle of worm gear rim
Worm tooth thickness in normal plane
Worm gear tooth thickness in normal plane
Worm tooth thickness in axis plane
sx1 = s1 / cos γWorm Gear Ratio Formula
Worm gear tooth thickness in axis plane
Work face width
Juniper vQFX - EVE-NG. bw = min (b1, b2)
Contact ratio
εγ = εα + εβWorm Gear Design Calculator
where:
Minimum worm gear tooth correction
where:
ha*0 = ha* + c* - rf* (1 - sin α)
c = 0.3
for α = 20 degrees
c = 0.2
for α = 15 degrees
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