Speed copy gearbox

Intro

Case study

The spped copy or rotary distributor is a huge, funnel-like device that receives coal from the coal mine and distributes it into three large bunkers. A motor reducer, connected to a small gear with 21 teeth, drives it. The large gear is rigidly connected to the reverse shaft and coupled with it. The large gear has 160 teeth. We should build a mechanism that will rotate (at the end of the shaft) at the same angular speed as a large, driven gear.
Parameters : Drive gear : z = 21 Driven gerar z = 160

Solution

It is necessary to install an encoder that will obtain the angular speed of the large gear, i.e., the rotating rod.Due to the required angular velocity precision, I opted for a reducer with cylindrical gears.This reducer does not transmit any load but only regulates the angular velocity of the large gear.
And that's why I called it speed transfer transmiter

Problem solution

The transmission ratio is
where are : Z₂ = 160 - the number of teeth of the large gear
Z₁ = 21 - the number of teeth of the small gear

Since the upper fraction cannot be shortened, making a model of connected gears is impossible. If he used belts or sprockets, there could be slippage and, thus, an incorrect angular velocity of the large gear.

And just a little help with math ...

If we look carefully, we can see that the numbers are 160 i 21 divisible without a remainder
160 by : { 2, 4, 5, 10, 20, 40 i 80 }
21 divide by : { 7 i 3 }

It follows that the transmission ratio can be written as i :

We already have a sketch of two pairs of coupled gears, it is necessary expand fractions transmission ratio so that the number of teeth is greater than the minimum. We have till now :

and it is the number of teeth of the first pair of gears
for the second gear pair, the number of teeth follows
next step - I adopt the gear parameters

Gear 5 is input and connects to ... one of the pinion gears (it doesn't matter which one).

Gear 5 is input and it is i.e. its parameters are a copy of the drive gear (module and number of teeth).

The next logical step is the gear calculation. First, I adopted the module, taking into account the dimensions, and then the gear calculation follows. A handy free gear calculator is here, and I used it for the calculation. After the calculation of the gears, there is the calculation of the shaft, bearings, and construction of the shaft and bearing housing. I chose a splined connection on all gears.

Making gear box

After the construction and preparation of technical documentation, the entire project was handed over to the company "Elmont," which made all the elements except the formwork and the base. Here are some drawings.