Abstract
In this paper, we study the correlation between a sinusoidal sweep durability test and a random vibration durability test through specimen tests. We compute random vibration durability test conditions having the same fatigue damage spectrum as a sinusoidal sweep durability test using the numerical analysis method. We use two kinds of specimens of different shape to perform durability tests. This paper proposes a normalization process that uses the average of the fatigue damage time caused only by a sinusoidal sweep durability test, and the average of the fatigue damage time caused only by a random vibration durability test. The normalization process makes it possible to remove the difference of fatigue life due to the difference of specimen shape. Thus, we determine one trend equation that can predict the test results of two kinds of specimen with high reliability. Through the trend equation, we can find the correlation between the fatigue life due to sinusoidal sweep vibration, and the fatigue life due to random vibration, which depends only on the specimen material and the excitation method.
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Abbreviations
- N:
-
Cycles
- σ:
-
Stress
- b:
-
Basquin slope, stress exponent in S-N diagram
- C:
-
Fatigue strength constant
- E[0+]:
-
Number of upward zero crossings per unit time
- E[P]:
-
Number of peaks per unit time
- A:
-
Acceleration
- G:
-
Power spectral density
- Q:
-
Quality factor or Transmissibility
- f n :
-
Resonant frequency
- K:
-
Stiffness
- T:
-
Time
- ẍ, x :
-
Constant acceleration, displacement in sine sweep
- λ n :
-
nth order spectral moment
- γ :
-
Irregularity factor
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Chang Seob Hong and Hong Jun Yang contributed equally to this work
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Hong, C.S., Yang, H.J., Kang, Y.S. et al. A study of the correlation between sinusoidal sweep and random vibration durability tests through specimen tests. Int. J. Precis. Eng. Manuf. 17, 1665–1671 (2016). https://doi.org/10.1007/s12541-016-0193-7
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DOI: https://doi.org/10.1007/s12541-016-0193-7