Big Tea wrote: ↑20 Apr 2022, 18:04
matteosc wrote: ↑20 Apr 2022, 17:33
Big Tea wrote: ↑20 Apr 2022, 17:21
Would the resonant frequency not be the unsupported length between two fixing points? (and multiples of)
So several different frequencies in the run of the whole 'pipe'. Is the new fuel pore prone to frothing I wonder?
Not sure I understand your question, but the natural frequency would depend on Young modulus (material), diameter, length and density (again: material). If we consider it as a beam (which is not, but just to make an example) the first natural frequency would be omega_1 = 1.875^2 * ( (E * I)/(rho * A * L^4) )^0.5. Second and third would be the same formula, just replacing 1.875 with 4.694 and 7.855 respectively.
No point in trying to come up with number for these frequencies, since we have no idea about the value of most of the parameters here.
Thats what I mean. There could be many different lengths which would vibrate at different frequencies and harmonics in the pipe run which could even pass along the run. it would have to be literally rigid to rule out completely.
Yes, but for resonance the frequency has to match the natural frequency of the arrangement; correct me if I wrong.
The car is bouncing no more than 5 Hz.
check this link for some equations :
https://www.engineeringtoolbox.com/stru ... _1989.html
Say I use the Structure with Fixed Ends and Distributed Mass model, with a 20kg/m load; which we know is not the case. f = 3.56 (E I / q L4)0.5
L may be as much as 0.5 metres. Say the pipe is 10mm OD and 9mm ID. I get a frequency of 74Hz for example.
The lesser the external load the higher the frequency will be.
It's more complex than I am making it out here but its just an idea of the scale of things and how far the porpoising frequency is from a possible resonance issues. Then you must ask, what is the damage mechanism from the resonance?
Will fatigue failure arrive so quickly?