good day (daytime greeting)Calculations for the Koganei micro-ejector to suck and vertically transfer a workpiece." Here is a note about the
I am uploading a calculation sheet that I created for a recent study on equipment that uses micro-ejectors to adsorb and convey products.
Calculation for adsorption and vertical transfer
Information required for calculations
The information required to calculate adsorption transfer is as follows
- Operating pressure (MPa)
- H adsorbate [workpiece] (N)
- G acceleration time
- S Max. transport speed (m/s)
- f External load resistance (N)
- A Vacuum side piping (tube) inner diameter (φ or mm)
- M Vacuum side piping (tube) length (mm)
- K Adsorption surface aperture (φ or mm)
- nNumber of adsorption holes (pcs)
- P Attained vacuum (kPa)
- Index by N nozzle diameter (from table below)
- C Constant depending on the degree of vacuum (from the table below)
- U Safety Ratio
*Vacuum is the pressure of the remaining gas.
Actual calculation
The following calculations will be considered when Koganei's micro ejector is used to adsorb and vertically transfer a workpiece.
Amount of material transported
H'(kg)=H/9.8
acceleration
α(m/s^2)=S/G
Axial load during upward acceleration
F[N]=H+f+(H'*α)
Converts attained vacuum to Mpa
P'=P/1000
Vacuum piping volume
L[l liter]=((3.14*((A/10)^2))/4)*(M/10)/1000
Micro-ejector response time
T[s]=(l/C)^N
Adsorption power (single hole)
R[N]=-((K/2)^2*3.14)*P'
Total adsorption
R'[N]=R*n
Check whether the total suction force is sufficient to lift the conveyed object at that acceleration.
Download Calculation Excel
A calculation sheet for the vertical transfer of workpieces with Koganei's micro-ejectors can be downloaded below. Please feel free to use it.
That's it.