How Can I Balance Tyres More Effectively?

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The discussion focuses on effective tyre balancing techniques, specifically the use of LVDT and encoders to determine unbalance position and its relationship with vibration. The original poster seeks theoretical insights due to limited access to practical machinery. Suggestions include experimenting with a balanced tyre by adding weights to measure displacement and utilizing mathematical approaches like Fourier transforms for data analysis. Participants recommend resources for understanding rotor balancing theory and provide links to simulators for practical learning. Overall, the conversation emphasizes the importance of theoretical knowledge and available tools for improving tyre balancing methods.
GreyLab
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HI,

I'm working on a tyre balancing project. I have the obvious lvdt (diplacement sensor) and the encoder for position. After much research, I've come a little stuck. Does any1 know how to work out the position of the unbalance in the tyre, and the relatioship between the vibration and amount of unbalance?

Help would be much appreciated

GreyLab
 
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Part of the fun of doing projects like these is doing the research, at least for me. Why not take a balanced tyre, add a weight to unbalance it and determine the phase of the point of maximum displacement of the LVDT versus the weight?
 
thanks for the response. Access to the machine is a bit limited as it is running on a line almost 24/7. Hence why I'm trying to see how much theoretical knowledge i can gain. I've spent masses of time reading documents on tyre balancing, but there's little that's given much detail unfortunately. Was hoping someone could point me in the direction of good resources and an idea on the mathematics
 
encoder, one pulse per revolution to start acquisition
x:=N samples with frequency Fs, (N/Fs - several whole periods)
X:=Fourier transform (x)
k:=60/RPM*N/Fs
unbalance:=abs(X[k]) * \epsilon
position:=argument(X[k])
 
Hi, you can find a good introduction to the theory of rotor balancing here: "www.freestudy.co.uk/dynamics/balancing.pdf"[/URL]

Good luck

[quote="GreyLab, post: 2722241"]thanks for the response. Access to the machine is a bit limited as it is running on a line almost 24/7. Hence why I'm trying to see how much theoretical knowledge i can gain. I've spent masses of time reading documents on tyre balancing, but there's little that's given much detail unfortunately. Was hoping someone could point me in the direction of good resources and an idea on the mathematics[/QUOTE]
 
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