additive damage analysis of the frequency damage spectrum damage analysi… · • the fds...

HBM Prenscia: Public

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2019 Prenscia User Group Meeting | April 30th – May 1st | Novi,MI (USA)

Additive Damage Analysis of the Frequency Damage Spectrum

Presented by Phil Korth


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Harley-Davidson

2020 Livewire


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• The FDS (Frequency Damage Spectrum) provides relative damage with damage values across the spectrum at frequency intervals

• The ∑FDS is the arithmetic sum of all points on the FDS spectrum• Is it possible to sum the damage values of an FDS to provide a relative damage

comparison of different events?• Utilize multiple duty cycle events• Calculate the FDS for each event• ∑FDS for each event• Measure strain response of 2 different component variations for each duty cycle event• Use strain response to calculate a relative damage• Compare relative strain damage vs ∑FDS

Challenge/project scope


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• Calculate FDS for 4 different road courses• Sum the FDS of each across the full spectrum

Use GlyphWorks Accelerated Test for Frequency Damage Spectrum Calculation

∑FDS

Course ∑FDS Damage Rank % Damage

Road Course 1 3.9373E-08 3 19.12%Road Course 2 3.0817E-08 4 14.97%Road Course 3 5.9659E-08 2 28.97%Road Course 4 7.6075E-08 1 36.94%

90 8.75E-2091 7.99E-2092 7.27E-2093 6.57E-2094 5.88E-2095 5.25E-2096 4.67E-2097 4.17E-2098 3.73E-2099 3.33E-20

100 2.98E-20∑FDS 3.94E-08

5 2.09E-086 3.49E-097 1.59E-098 1.64E-099 2.75E-09

10 1.64E-0911 2.90E-1012 2.21E-1013 6.57E-1014 9.92E-1015 1.18E-09


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• Use H1 gain variation to create 2 different specimen responses from the same input acceleration (representation of change to mass/stiffness)

Use GlyphWorks Custom Fourier Filter to Convolve Input Acceleration With H1 Gain to Generate Strain Response


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• Calculate Relative Strain Damage of 2 different components for 4 different road courses

Using GlyphWorks Potential Damage Calculate Relative Damage of Strain Response

Course

Relative Damage Component 1

Damage Rank % Damage

Road Course 1 40.6851 4 4.90%Road Course 2 652.9135 1 78.61%Road Course 3 45.7268 3 5.51%Road Course 4 91.2558 2 10.99%

Course





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• ∑FDS damage shows poor correlation to relative strain damage results

∑FDS vs Relative Damage



Course




Course





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• Determine Resonant Frequency from FRF• Determine Q Bandwidth• Sum FDS at f1 to f2

Alternate Way to Utilize FDS vs Relative Strain Damage


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9• ∑FDS f1 to f2 shows better correlation to relative strain damage results

∑FDS f1 to f2 vs Relative Damage

CourseRelative Damage Component 1



Course∑FDS f1 to f2 Component 1



CourseRelative Damage Component 2



Course∑FDS f1 to f2 Component 2






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Challenge Solution

Summary

Results

• The FDS (Frequency Damage Spectrum) provides relative damage with damage values across the spectrum at frequency intervals

• The ∑FDS is the arithmetic sum of all points on the FDS spectrum

• Is it possible to sum the damage values of an FDS to provide a relative damage comparison of different events?

If you are utilizing the FDS to compare damage of different spectrums an understanding of the resonant frequencies and Q is recommended. These measurements can be obtained from virtual measurements (DesignLife) or physical measurements of the component on a vehicle or test rig. Using GlyphWorks to analyze the data, the resonant frequencies can be obtained.

Analysis showed that utilizing ∑FDS across the entire spectrum doesn’t produce good correlation. Better results were obtained by utilizing the resonant frequency and summing f1 to f2 of the Q value.


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11Thank You!

Phil [email protected]

Additive Damage Analysis of the Frequency Damage SpectrumHarley-DavidsonChallenge/project scopeUse GlyphWorks Accelerated Test for Frequency Damage Spectrum CalculationUse GlyphWorks Custom Fourier Filter to Convolve Input Acceleration �With H1 Gain to Generate Strain ResponseUsing GlyphWorks Potential Damage Calculate Relative Damage of Strain Response∑FDS vs Relative Damage�Alternate Way to Utilize FDS vs Relative Strain Damage�∑FDS f1 to f2 vs Relative Damage�Summary Thank You!

additive damage analysis of the frequency damage spectrum damage analysi… · • the fds...

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