How to derive an average output from a triaxial accelerometer

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Discussion Overview

The discussion revolves around deriving an average output from a triaxial accelerometer used to measure the acceleration of an oscillating body. Participants explore various methods for calculating a vector average from the three channel outputs, including the use of magnitude calculations and mean values, as well as considerations for analyzing oscillatory movement before and after applying a damping system.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests using the formula x = √(a² + b² + c²) to derive a vector average, while expressing confusion over criticisms of this method.
  • Another participant agrees with the initial method but notes that it results in a loss of the "sign" of acceleration, providing only magnitude.
  • A participant mentions the possibility of looking at minimum and maximum values or amplitudes on each channel as alternative approaches.
  • One participant indicates that since the goal is to assess relative change, using the highest amplitude channel may suffice.
  • A later reply raises the idea of exploring impulse and frequency response for different damping effects, suggesting a more sophisticated analysis could be beneficial.

Areas of Agreement / Disagreement

Participants express differing opinions on the best method for averaging the outputs, with no consensus on a single approach. Some support the use of magnitude calculations, while others suggest alternative methods or emphasize the importance of retaining directional information.

Contextual Notes

Participants do not fully explore the limitations of their proposed methods, such as the implications of losing directional information or the assumptions underlying their calculations. The discussion remains open-ended regarding the most effective averaging technique.

Who May Find This Useful

Individuals interested in the analysis of oscillatory systems, damping effects, or the application of triaxial accelerometers in experimental settings may find this discussion relevant.

TS@QS
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Hi
I am measuring the acceleration of an oscillating body with a triaxial accelerometer. I want to derive some kind of vector average of the 3 channel output. Someone suggested using
x= √(a squared + b squared + c squared)
... where x is the vector average and a, b and c are the accelerometry readings for each channel. Someone else told me that this isn't ideal but I don't really understand why not. Please help - is it better to just take the mean of all 3... or even just to choose the largest amplitude channel and use that?
Thanks
 
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I think your method is just fine, kind of depends on what your needs are. You lose the "sign" of the acceleration with that method, just results in a magnitude. You could also look at the min and max values, or min and max amplitudes on each channel.
 
thanks - well , I'm using the acceleration as a surrogate for amplitude of displacement. I want to compare the oscillatory movement before and after applying a damping system to decide if there is an 'average' damping effect overall.
 
Since you are just looking for a relative change, looking at the highest amplitude channel probably works fine. Acquire all the data you can, then mine it for whatever looks most useful.
 
thanks, I'll try that.
I was just wondering why i was told that there are better more sophisticated methods and what these could feasibly entail?
 
You could certainly get into looking at impulse and frequency response for different damping. Vibrational response is a whole field in and of its own.
 

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