My Math Forum Harmonic Calculation from Data Points

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 February 17th, 2015, 11:50 AM #1 Newbie   Joined: Feb 2015 From: KY Posts: 1 Thanks: 0 Harmonic Calculation from Data Points I should start by saying I haven't taken a calculus class in about fifteen years so anything you can phrase in layman's terms would be helpful. I have watched and read quite a bit on this subject online, but it seems every time they get to the calculations there is some assumed knowledge of symbols I either don't remember or never knew. I am trying to take measurements from a cylindrical object and extract its harmonics from the rounded edge as it spins. I have a spreadsheet which is supposed to have done that by using the Root Mean Square averaging of the wave (cell D133 of link). However, I need to cut the root mean square step, and provide the actual harmonic values at each point. I don't really understand how this first harmonic was calculated well enough to make this happen. I do however understand the changes to the angles needed to calculate the later harmonics. Here are the assumptions I am working with so far -The average value is how much my collected data point deviates from the expected norm. -The angle was calculated by taking 128 equidistant points across the 360 degrees of the object. -The wave hits a peak point twice to complete one period, so the peak to peak can also be found by hitting the average X value twice. Slightly fuzzy -I thought the X and Y values are the traditional Cartesian coordinates of the first harmonic expressing the information in circular complex form. I am not so certain of this as some of the values don't make perfect sense. I am not super confident on the math used for these though I understand basic SIN and COS. -The angle of the harmonic was determined by atan2 and letting the spreadsheet convert to degrees. I could use a little exposition here of what this really means other than it can be used in the formula to calculate the actual harmonic points in column F. Main Problem -How do I calculate the harmonic values without using RMS? If you can clarify any of this, I would very much appreciate it. If you would like to write directly on the reference spread sheet, feel free. Thanks Last edited by Czern; February 17th, 2015 at 11:54 AM.

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