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Calculate a VECTOR SUM to make understanding vibration data easy!

Siemens Experimenter

07-08-2016
06:00 AM

Use a VECTOR SUM to simplify your data analysis!

Products and humans experience vibration in 3 dimensions/directions. Whether a particular vibration is in the lateral direction or in the vertical direction, it can still fatigue a part or lead to operator discomfort.

A VECTOR SUM can be applied to the three directions of a triaxial accelerometer to calculate the overall magnitude of vibration, independent of the direction.

The formula for a VECTOR SUM of a triaxial vibration measurement consisting of X, Y and Z is as follows:

So for a vibration levels where X=5g, Y=7g and Z=12g, the VECTOR SUM would be equal to: 14.76g as follows:

However, when using Simcenter Testlab (formerly LMS Test.Lab), complex quantities (with both a real and imaginary portion) are often measured. For example, spectrums can include phase. In reality, the VECTOR SUM equation is a bit more complicated, as follows:

**Calculating a VECTOR SUM in Simcenter Testlab Signature**

In Simcenter Testlab Signature, one can calculate a VECTOR SUM either:

- during a measurement with real time viewing OR
- after a measurement has already been performed in throughput processing

To calculate a VECTOR SUM, set it up in either:

**During Measurement:**In “Online Processing worksheet” of Simcenter Testlab Signature, choose “Derived” tab in upper right OR**Offline Processing:**In “Time Data Processing” worksheet, click on the “Change Settings” button from the “Channel Processing” area and select the “Derived FS” tab (Note: "Time Data Processing" can be turned by selecting "Tools -> Add-ins -> Signature Throughput processing" from the main menu)

In the “Derived” tab, highlight the first cell in the “Formula” column and press the “F(x)” button above.

Scroll to the bottom of the “Select Function” menu and choose the VECTOR_SUM function. You may need to click the “New function” button once to make three entries possible in the menu.

In the VECTOR_SUM dialog, enter either the Channel reference (CH1, CH2, CH3, etc) or the PointID (left_mnt_act:+X, left_mnt_act:+Y, etc). If you do not know the Channel reference, it is available in the drop down menu in the upper right of the 'Channel Processing Settings' menu.

Either method (the name or number) can be used to refer to a channel. Press OK when finished.

Now a VECTOR_SUM will be calculated on any and all frequency-based data functions: spectrums, autopowers, orders, frequency sections, etc.

**Conclusion**

Once a VECTOR SUM calculation is setup and created, it is much easier to interpret vibration data. Instead of having to look at three individual graphs for each vibration measurement location, only one graph needs to be viewed to ascertain the overall vibration.

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Comments

Jeongsoo

Enthusiast

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09-21-2017
12:29 PM

It is quite useful method for me to assess vibration severity.

Many thanks!

Jeongsoo

Rohan_Chaudhari

Experimenter

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04-25-2018
10:34 AM

So what is the calculation process? Is it VectorSum (Time Data) --> FFT OR is it FFT --> VectorSum(FFT). Which one does LMS use?

Kevin_Grenier

Siemens Phenom

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04-26-2018
04:27 AM

Hello, since the VECTORSUM command is a Derived Channel on Online Processing in Signature Acquisition or Channel Processing in Time Data Processing \ Signature Throughput Processing it would be done on the frequency domain data. The screen shows it as a Frequency spectrum so it is being calculated from the spectrums.

I would personally not every try a vector sum on the time domain data. So, to answer your question, it is FFT --> VectorSum(FFT).

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