Thank you all very much for the answers! I think I have it worked out.
With some external help, moving the origin to the COM of m2 simplified the formula (as alpha was relative on this) and made it understandable.
Just once during the design phase of the machine.
Once the center of mass is determined the locations of the two masses are fixed.
Very. These are modeled up in CAD.
Yes this is considered but the machine does also need to run empty. Material behaves differently to a fixed mass on a vibrating...
I've reworked the diagram to make the origin at the COG of M1. This works well with the software that I am using and simplifies the CCOG (combined COG) formula.
I now have the two formulas for CCOG. If I combine them they still have two unknowns (CCOGy relates to CCOGx). I need a third formula...
The two objects represent a vibrating feeder. M1 represents the main body and M2 represents the drive bracket. The vibrating motors bolt at point A and send vibration through the whole machine at the angle of the drive bracket. The forces must pass through the center of gravity for the vibration...
Thank you for the clarification. I believe that I have an understanding of the variables but I need to sit down properly and work it all out. I will come back when I have properly reviewed your responses.
I had a go at using the tangent of the angle. The formula tanA = y1/x1 where y1 and x1 are the combined COG. With this I can plug it into the combined COG formula but I still have two unknowns, M2 location and COG location. I feel as though I need a third formula to solve this.
I can calculate the COG with the above formula however P2 is unknown.
I need to be able to put P2 into another function which will check that the vector A->COG is parallel to the nominated angle. I cannot seem to work this one out algebraically.
Any assistance or guidance would be appreciated.
Thanks Jack.
Fantastic insight.
Regarding M, if there is little load relative to mass then use the mass of machine only. This makes sense as larger machines are less effected by material load. This logic works with M2 >> M1. This approach helps greatly.
I will do some more reading on damping...
I have been given a formula at work to use for calculating how much force is required to excite a vibrating machine with load. Only a proportion of material load on a vibrating machine is considered.
The formula is
F = 2*S / (K*M)
Where:
S = stroke (mm)
K = (140/w)^2
w = angular velocity...