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A study on the band split of power spectral density for a vibration test

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Abstract

A vibration aging test is a part of equipment qualification. When the vibration level is too high for the shaker system, the equivalent test can be accomplished by bandsplitting and/or time-level trade techniques. This paper discusses the power spectral density (PSD) band-splitting effect on fatigue damage and a method for the application to PSD bandsplitting. Three types of acceleration PSDs—band-limited white noise (BLWN) PSD, unimodal PSD, and bimodal PSD—with various shapes were chosen as target PSDs. Oritz and Chens method, and Benascuitti and Tovo’s method were used to calculate fatigue damage spectra (FDS). The maximum values of fatigue damage ratios for all target PSDs were calculated. It was found that PSD overlapping can be used to compensate for the lack of fatigue damage due to PSD band-splitting. An application example of the suggested method that enables conservative testing when applying PSD band-splitting is presented herein.

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Abbreviations

A :

Amplitude of PSD (g2/Hz)

a n :

Coefficient of enveloping function, for Eq. (23)

D NB :

The fatigue damage under a narrow-band random process, defined in Eq. (14)

D 0C :

The fatigue damage under a wide-band random process, defined in Eq. (11)

D BT :

The fatigue damage under a wide-band random process, defined in Eq. (17)

E[0+]:

Expected rate of zero up-crossing

f :

Frequency (Hz)

f n :

Natural frequency (Hz)

f mi :

Peak frequency of target PSD (Hz)

G(f) :

PSD function (g2/Hz)

G(f) :

Input acceleration PSD

G z(f, f n, ζ):

Relative displacement RPSD

\({G_{{S_a}}}\left( {f,{f_n},\zeta } \right)\) :

Stress RPSD

γ :

Irregularity factor

Γ(·):

The gamma function

H(f, f n, ζ):

Transfer function

K :

Coefficient relating a relative displacement to a stress amplitude, refer to Eq. (9)

m :

Fatigue exponent (slope factor of the S-N curve)

M n :

N-th moment of PSD

N :

Number of cycles

S a :

Alternating stress

S1 :

Severity (RMS) at test condition

S2 :

Severity (RMS) at in-service condition

t2 :

Equivalent test time

t2 :

In-service time for specified condition

X m :

Normalized mean frequency

ζ :

Damping ratio

z :

Relative displacement

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Acknowledgments

This study is financially supported by KETEP in Korea (Grant No. 20193110100020).

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Authors and Affiliations

  1. Mechanical System Engineering Department, KEPCO-E&C, Daejeon, Korea

    Wonho Lee, Jinseok Park & Jongmin Kim

Authors
  1. Wonho Lee
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  2. Jinseok Park
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  3. Jongmin Kim
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Corresponding author

Correspondence to Wonho Lee.

Additional information

Wonho Lee is an engineer for the Mechanical System Engineering Department of KEPCO-E&C, Daejeon, Korea. He received his B.E. in 2013 in Mechanical Engineering from Handong Global University. His research interests include vibration and fatigue of nuclear components.

Jinseok Park is an engineer for the Mechanical System Engineering Department of KEPCO-E&C, Daejeon, Korea. He received his M.S. in 2005 in Precision Mechanical Engineering from Hanyang University. His research interests include vibration and fatigue of nuclear components.

Jongmin Kim is an engineer for the Mechanical System Engineering Department of KEPCO-E&C, Daejeon, Korea. He received his M.E. in 1990 in Mechanical Engineering from Inha University. His research interests include design and fatigue of nuclear components.

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Lee, W., Park, J. & Kim, J. A study on the band split of power spectral density for a vibration test. J Mech Sci Technol 36, 5011–5017 (2022). https://doi.org/10.1007/s12206-022-0913-0

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  • DOI: https://doi.org/10.1007/s12206-022-0913-0

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