ASTM E1049-1985(2017) 8750 Standard Practices for Cycle Counting in Fatigue Analysis《疲劳分析中周期计数的标准实施规程》.pdf
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1、Designation: E1049 85 (Reapproved 2017)Standard Practices forCycle Counting in Fatigue Analysis1This standard is issued under the fixed designation E1049; the number immediately following the designation indicates the year oforiginal adoption or, in the case of revision, the year of last revision. A
2、 number in parentheses indicates the year of last reapproval. Asuperscript epsilon () indicates an editorial change since the last revision or reapproval.1. Scope1.1 These practices are a compilation of acceptable proce-dures for cycle-counting methods employed in fatigue analysis.This standard does
3、 not intend to recommend a particularmethod.1.2 This standard does not purport to address all of thesafety concerns, if any, associated with its use. It is theresponsibility of the user of this standard to establish appro-priate safety and health practices and determine the applica-bility of regulat
4、ory limitations prior to use.1.3 This international standard was developed in accor-dance with internationally recognized principles on standard-ization established in the Decision on Principles for theDevelopment of International Standards, Guides and Recom-mendations issued by the World Trade Orga
5、nization TechnicalBarriers to Trade (TBT) Committee.2. Referenced Documents2.1 ASTM Standards:2E912 Definitions of Terms Relating to Fatigue Loading;Replaced by E 1150 (Withdrawn 1988)33. Terminology3.1 Definitions:3.1.1 constant amplitude loadingin fatigue loading,aloading in which all of the peak
6、loads are equal and all of thevalley loads are equal.3.1.2 cyclein fatigue loading, under constant amplitudeloading, the load variation from the minimum to the maximumand then to the minimum load.NOTE 1In spectrum loading, definition of cycle varies with thecounting method used.3.1.3 mean crossingsi
7、n fatigue loading, the number oftimes that the load-time history crosses the mean-load levelwith a positive slope (or a negative slope, or both, as specified)during a given length of the history (see Fig. 1).3.1.3.1 DiscussionFor purposes related to cycle counting,a mean crossing may be defined as a
8、 crossing of the referenceload level.3.1.4 mean load, Pmin fatigue loading, the algebraicaverage of the maximum and minimum loads in constantamplitude loading, or of individual cycles in spectrum loading,Pm5 Pmax1Pmin!/2 (1)or the integral average of the instantaneous load values orthe algebraic ave
9、rage of the peak and valley loads of a spec-trum loading history.3.1.5 peakin fatigue loading, the point at which the firstderivative of the load-time history changes from a positive toa negative sign; the point of maximum load in constantamplitude loading (see Fig. 1).3.1.6 rangein fatigue loading,
10、 the algebraic differencebetween successive valley and peak loads (positive range orincreasing load range), or between successive peak and valleyloads (negative range or decreasing load range); see Fig. 1.NOTE 2In spectrum loading, range may have a different definition,depending on the counting meth
11、od used; for example, “overall range” isdefined by the algebraic difference between the largest peak and thesmallest valley of a given load-time history.3.1.6.1 DiscussionIn cycle counting by various methods,it is common to employ ranges between valley and peak loads,or between peak and valley loads
12、, which are not necessarilysuccessive events. In these practices, the definition of the word“range” is broadened so that events of this type are alsoincluded.3.1.7 reversalin fatigue loading, the point at which thefirst derivative of the load-time history changes sign (see Fig.1).NOTE 3In constant a
13、mplitude loading, a cycle is equal to tworeversals.3.1.8 spectrum loadingin fatigue loading, a loading inwhich all of the peak loads are not equal or all of the valleyloads are not equal, or both. (Also known as variable amplitudeloading or irregular loading.)1These practices are under the jurisdict
14、ion of ASTM Committee E08 on Fatigueand Fracture and are the direct responsibility of Subcommittee E08.04 on StructuralApplications.Current edition approved June 1, 2017. Published June 2017. Originallyapproved in 1985. Last previous edition approved in 2011 as E104985(2011)1.DOI: 10.1520/E1049-85R1
15、7.2For referenced ASTM standards, visit the ASTM website, www.astm.org, orcontact ASTM Customer Service at serviceastm.org. For Annual Book of ASTMStandards volume information, refer to the standards Document Summary page onthe ASTM website.3The last approved version of this historical standard is r
16、eferenced onwww.astm.org.Copyright ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United StatesThis international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles fo
17、r theDevelopment of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.13.1.9 valleyin fatigue loading, the point at which the firstderivative of the load-time history changes from a negative toa positive sign (also
18、known as trough); the point of minimumload in constant amplitude loading (see Fig. 1).3.2 Definitions of Terms Specific to This Standard:3.2.1 loadused in these practices to denote force, stress,strain, torque, acceleration, deflection, or other parameters ofinterest.3.2.2 reference loadfor spectrum
19、 loading, used in thesepractices to denote the loading level that represents a steady-state condition upon which load variations are superimposed.The reference load may be identical to the mean load of thehistory, but this is not required.3.3 For other definitions of terms used in these practicesref
20、er to Definitions E912.4. Significance and Use4.1 Cycle counting is used to summarize (often lengthy)irregular load-versus-time histories by providing the number oftimes cycles of various sizes occur. The definition of a cyclevaries with the method of cycle counting. These practices coverthe procedu
21、res used to obtain cycle counts by various methods,including level-crossing counting, peak counting, simple-rangecounting, range-pair counting, and rainflow counting. Cyclecounts can be made for time histories of force, stress, strain,torque, acceleration, deflection, or other loading parameters ofi
22、nterest.5. Procedures for Cycle Counting5.1 Level-Crossing Counting:5.1.1 Results of a level-crossing count are shown in Fig.2(a). One count is recorded each time the positive slopedportion of the load exceeds a preset level above the referenceload, and each time the negative sloped portion of the l
23、oadexceeds a preset level below the reference load. Reference loadcrossings are counted on the positive sloped portion of theloading history. It makes no difference whether positive ornegative slope crossings are counted. The distinction is madeonly to reduce the total number of events by a factor o
24、f two.5.1.2 In practice, restrictions on the level-crossing countsare often specified to eliminate small amplitude variationswhich can give rise to a large number of counts. This may beaccomplished by filtering small load excursions prior to cyclecounting. A second method is to make no counts at the
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