Main components

Rotary joint

The rotary joint enables electrical communications between the base and the rotating platform. It has a through-hole design for routing the compressed air tube. The selected model is the Senring UH1256-02-0610-06S, of the UH1256-02 Series [1]. It has two USB ports that can be used to connect e.g. cameras, and several power and data wires to connect different sensors and other accessories.

Figure1
Figure 1. Senring UH1256-02-0610-06S Series

Crossed roller bearing

The crossed roller bearing iprovides a strong joint between the static base and the rotation platform. A suitable model for the application is the BRS RU124X considering fitting the rotary joint (inner diameter > 55mm). The bearing provides stong joint stability against axial and radial forces and torque, due to its best-in class axial runout (2-5 µm).

Figure2
Figure 2. SBRS RU124X Crossed roller bearing

DC motor and driver

In order to get an approximation of the motor requirements we have estimated the moment of inertia around the vertical axis. For this approximation we have considered two main components: the circular platform and all the elements that are on the platform, and the inner ring of the crossed roller bearing. To simplify the approximation, the internal ring of the bearing has been considered as a stainless steel solid part. The negligible friction force of the bearing has not been taken into account.

Both moments of inertia have been extracted using the mass properties of the Solidworks® CAD software.

equation1

equation2

With this value we can make the approximation of the torque needed to accelerate the system using the Newton’s 2nd law of rotation : equation3.

After numerical simulation, we obtain a theoretical maximum acceleration, useful to choose the motor, described by the function : equation4

With this relationship we can estimate the maximum torque needed for the motor and the theoretical maximum angular acceleration is 1100 °/s^2 with the 3 Nm motor option.

A stepper motor was selected accordingly: Nema 23 Stepper Motor 3 Nm 4.2A with a DM542A driver.

Figure3
Figure 3. Nema 23 stepper motor and DM542A stepper driver

Nema 23 Stepper motor main features:

Property value
steps/rev 200
L (mH) 3.2
Imax (A) 4.2
V (V) 24
T (N.m) 3
Pmax (W) 96

The current can be selected using the first four switches of the driver DIP switch: Figure4

The driver has a DIP switch to select the desired micro stepping mode: Figure5

Belt selection

We have adjusted the number of teeth zp of the big and the small pulley in order to get a gear ratio of 4:1 considering the minimum diameter of the big pulley as the outside diameter of the crossed roller bearing BRS RU124X.

equation11

The diameter of the commercial small pulley with zp = 36 teeth is 34.38. Once the big and small pulley diameters (D and d) have been defined, the distance between centers (C) is alculated to get the desired commercial length L :

equation12

The number of teeth obtained for the big pulley is 216, and the distance between centers 216 mm. That result determined the choice of the belt for our device.

The timing belt

The size of the belt was calculated considering the outside diameter of the Crossed roller bearing (OD > 165 mm) and the desired gear ratio of 4 which provides the stage of a maximum theoretical value of 12 Nm. In order to calculate the belt parameters, first we consider the maximum width of the belt for our space constraints, which is 20 mm maximum. According with the distance between centers and the pulley diameters, the length of belt needed is 927 mm and the chosen belt width is 15 mm.

figure6
Figure 6. Timing belt

The small pulley

The pulley that is driven by the Nema 23 stepper motor is a 36 teeth HTD3 metal pulley provided by RS Components.

figure7
Figure 7. Small pulley

Bill of materials

Component Quantity Supplier Reference
Base 1 Laser cut part STEP file
Platform 2 (Rev1) 1 - STEP file
Belt cover (Rev1) 1 - STEP file
Circular platform 1 - STEP file
Spacer 1 - STEP file
Encoder holder 1 - STEP file
Small pulley (Rev1) 1 RS Components https://uk.rs-online.com/web/p/belt-pulleys/1465412/
Big pulley (Rev1) 1 - STEP file, STL file
Belt 1 Ebay https://www.ebay.co.uk/itm/324243196114?hash=item4b7e6688d2:g:YU8AAOSwIW1fH-nz
Encoder Atachment 1 - STEP file, STL file
Belt tensor 1 3D printed STEP file
Encoder spacer 4 Laser cut part/3D printed STEP file
Cover spacer 6 3D printed STEP file
Tube guide 1 3D printed STEP file
Rotary joint spacer 1 3D printed STEP file
Ball Holder 1 3D printed STL file
CF175 4 Thorlabs https://www.thorlabs.com/thorproduct.cfm?partnumber=CF175#ad-image-0
RS05P Pedestal posts 4 Thorlabs https://www.thorlabs.com/thorproduct.cfm?partnumber=RS05P/M
RS150 7 Thorlabs https://www.thorlabs.com/thorproduct.cfm?partnumber=RS150/M
TR_50M Thorlabs https://www.thorlabs.com/thorproduct.cfm?partnumber=TR50/M
PH_50 2 Thorlabs https://www.thorlabs.com/thorproduct.cfm?partnumber=PH50/M#ad-image-0
M6 washers 2 https://www.thorlabs.com/newgrouppage9.cfm?objectgroup_id=248
M6 screws 44
M5 screws 24
M4 screws 11
M3 screws 7
M6 nuts 9
M5 nuts 14
BRS RU124X bearing 1 BRS http://www.rigbrsbearing.com/product/ru124x-cross-roller-ring/
Rotary Joint 1 Senring https://www.senring.com/usb-conductive-slip-ring/dual-Channels/uh1256-02.html
Encoder 1 Amazon https://www.amazon.co.uk/Wisamic-Incremental-Encoder-Dc5-24v-Voltage/dp/B015GYY7XU/ref=sr_1_8?dchild=1&keywords=rotary+encoder&qid=1587721002&sr=8-8
Hall efect sensor 1 Amazon https://www.amazon.co.uk/gp/product/B06XHG9CYN/ref=ppx_yo_dt_b_asin_title_o07_s00?ie=UTF8&psc=1
Magnet 1 RS Components 792-4559
Nema 23 Stepper motor 1 Ebay https://www.ebay.co.uk/itm/Free-Ship-Nema-23-Stepper-Motor-435oz-in-4-2A-Driver-Controller-DM542A/273805042516?ssPageName=STRK%3AMEBIDX%3AIT&_trksid=p2060353.m2749.l2649
Motor driver 1
M6 threadd inserts
M4 threaded inserts
Bearings 2 RS Components 619-0014
Incremental encoder 1 Amazon https://www.amazon.co.uk/Wisamic-Incremental-Encoder-Dc5-24v-Voltage/dp/B015GYY7XU/ref=asc_df_B015GYY7XU/?tag=googshopuk-21&linkCode=df0&hvadid=231995364607&hvpos=&hvnetw=g&hvrand=2855211729431962431&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9045997&hvtargid=pla-487280118197&psc=1

References

[1] https://www.senring.com/usb-conductive-slip-ring/dual-Channels/uh1256-02.html