Half Power Bandwidth Damping Calculator

RSGarciarivas
RSGarciarivas
Altair Employee
in Altair Exchange

Overview:

Joint effort between Rafael Sánchez Garciarivas (Altair Engineering) and Shashikant Sharma (Hutchinson Antivibration Systems).

This OML function can be used in Compose to calculate the half-power bandwidth damping of the peaks of the Frequency Response Function (FRF) of a system, i.e., it measures how far apart the frequencies where a resonant mode reaches half power (1/sqrt(2)) are.

Inputs:

  • mag => FRF magnitude [vector]
  • f => FRF frequency [vector]
  • For peak detection algorithm:
    • mph => Minimum peak height [scalar]
    • mpd => Minimum peak distance [scalar]
    • mpw => Minimum peak width [scalar]

Example:

f = 0:pi/100:10*pi;

mag = sin(f);

[pks fpks Zeta] =halfPowerBandwidthDampingCalc(mag, f, eps, 1, 1)

Sample results (not from example):

Sample results.png

pks = [Matrix] 1 x 3

0.00173 0.00086 0.00197

fPks = [Matrix] 1 x 3

4070 9400 10660

Zeta = [Matrix] 1 x 3

0.00737 0.00691 0.00704

Prerequisite:

Having any recent version of Altair Compose (2023 or older).

Usage/Installation Instructions:

Open the .oml file in Compose and execute script. Edit below function definition to analyze your own FRF signal.

Post-Requisite:

None

Release Version:

2024.1

beam-FRF-rnd.xlsx
HalfPowerBandwidthCalc.oml

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