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Palmgren-Miner rule

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Published: 01 January 1996
Fig. 6 Use of the Palmgren-Miner rule for life prediction for variable amplitude loading that is completely reversed. Source: Ref 1 (p 383) More
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002365
EISBN: 978-1-62708-193-1
... on their manner of use and limitations. The use of the Palmgren-Miner rule for life prediction for variable amplitude loading is also discussed. fatigue life Palmgren-Miner rule strain-based approach stress-based approach variable amplitude load FATIGUE LIFE ESTIMATES are often needed...
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Published: 30 August 2021
Fig. 7 Example of Palmgren-Miner damage summation rule for two different load amplitudes More
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Published: 30 August 2021
Fig. 8 Example of Palmgren-Miner damage summation rule for three different load amplitudes More
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Published: 01 January 2001
Fig. 9 Comparison of prediction and observed results for spectrum fatigue data of Schutz and Gerharz ( Ref 14 ), Schaff and Davidson ( Ref 18 ), Yang and Du ( Ref 31 ), MRLife ( Ref 32 ), and Palmgren-Miner rule ( Ref 27 , 28 ) More
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003382
EISBN: 978-1-62708-195-5
... incorporated into existing design practices. These models are simply applied to multistress-level loading and are traditionally associated with safelife. Palmgren-Miner Rule Perhaps the most simple life prediction model is the Palmgren- Miner rule ( Ref 27 , 28 ): (Eq 6) ∑ i = 1 m n...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003516
EISBN: 978-1-62708-180-1
... in Fig. 3 , is more likely to be encountered by structural components in actual service. In order to calculate the life of a component subject to variable loading, a method is needed that relates constant-amplitude fatigue test data to a random stress history. The Palmgren-Miner cumulative damage rule...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006819
EISBN: 978-1-62708-329-4
...: σ a S e + σ m σ f = 1 Fig. 6 Comparison of mean stress equations from (a) Soderberg, (b) Goodman, (c) Gerber, and (d) Morrow. Adapted from Ref 6 Fatigue Damage Summation The Palmgren-Miner damage summation rule ( Ref 32 – 34 ), sometimes referred...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002356
EISBN: 978-1-62708-193-1
... now. Many test programs were carried out to check the famous Miner rule (Σ n / N = 1), which Miner published in 1945 ( Ref 19 ). The rule was published earlier by Pålmgren in 1924 ( Ref 20 ). Another noteworthy publication came from Langer in 1937 ( Ref 21 ). He divided the fatigue life...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002392
EISBN: 978-1-62708-193-1
... from constant amplitude loading tests. One such method is the Palmgren-Miner Rule ( Ref 6 , 7 ), which has the mathematical form: ∑ i = 1 m n i N i = 1 where n i represents the number of cycles of damage and N i represents the life of a component...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006426
EISBN: 978-1-62708-192-4
... and the reliability and lifetime expressions from Weibull and Palmgren led to the first bearing ratings and life theories and various fatigue and material constants. This led to methods on computing stresses for basic bearing geometries and considerable fatigue testing. Following the work of Grubin in 1949 ( Ref 2...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
... by Miner ( Ref 7 ). According to the Palmgren/Miner rule, the application of n i cycles at a stress amplitude S ai , for which the number of cycles to failure in the S - N curve is N i ( Eq 5 ), causes a fatigue damage that is expressed by the damage sum: (Eq 16) D i = n i / N i...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002432
EISBN: 978-1-62708-194-8
... be exercised as this is similar to the Palmgren-Miner rule in fatigue failures, which is recognized as a crude approximation in many cases. Abu Haraz and Ermer ( Ref 29 ) used the cumulative damage theory with some success. They also were successful in using the Arrhenius equation in accelerated testing...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002364
EISBN: 978-1-62708-193-1
... a is the alternating-stress amplitude; S cr is the completely reversed stress amplitude for a given life (i.e., 10 6 , 10 5 , etc.); S u is the ultimate tensile strength of the material; S y is the yield strength; and S o is the mean stress. For the case of tensile mean stresses, as a rule-of-thumb...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006834
EISBN: 978-1-62708-329-4
... Temperature domain (Δ T ), °C (°F) −30 to +100 (−20 to +210) −30 to +120 (−20 to +250) −20 to +150 (−4 to +300) −10 to +220 (+14 to 430) −40 to +130 (−40 to +265) Media resistance guide Mineral oil Good Good Dedicated Dedicated Not recommended Synthetic oil Not indicated Good Dedicated...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003318
EISBN: 978-1-62708-176-4
... loading using the concept of cumulative damage (e.g., Palmgren-Miner mean accumulation rule). While this concept has strength in crack initiation models, it does not capture the role of overload type or order in the loading sequence and the subsequent effect on a propagating crack. Application...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006792
EISBN: 978-1-62708-295-2
... follow a statistical distribution, the life prediction is a statistical probability. The life prediction used is typically L 10 (the number of cycles before which 10% of the bearings are expected to have failed). Lundberg and Palmgren ( Ref 7 , 8 ) developed an experimental life method that is still...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0001810
EISBN: 978-1-62708-180-1
Book Chapter

Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003544
EISBN: 978-1-62708-180-1
.... The most widely used method of estimating fatigue under complex loading is provided by the linear-damage law. This is a hypothesis first suggested by Palmgren and restated by Miner, and is sometimes known as Miner's law ( Ref 2 ). Application of n i cycles at a stress amplitude S i , for which...