中英文翻譯版本：雨流計(jì)數(shù)法

1、Designation: E 1049 85 (Reapproved 2005) 名稱：E1049至85年（己重新審核批準(zhǔn)2005年）Standard Practices for Cycle Counting in Fatigue Analysis These practices are under the jurisdiction of ASTM Committee E0-8 on Fatigue and Fracture and are the direct responsibility of Subcommittee E08.04 on Structural Applications.

2、疲勞與斷裂中的這些規(guī)程屬于ASTM委員會(huì)E0-8管轄范圍內(nèi)，E08.04委員會(huì)對(duì)結(jié)構(gòu)應(yīng)用程序負(fù)直接責(zé)任。 Current edition approved June 1, 2005. Published June 2005. Originally approved in 1985. Last previous edition approved in 1997 as E104985(1997). 當(dāng)前版本在2005年6月1日批準(zhǔn)。發(fā)布時(shí)間：2005年6月。在1985年最初批準(zhǔn)。最新上一版本在1997年批準(zhǔn)為E1049-85（1997）。 在疲勞分析中循環(huán)計(jì)數(shù)的標(biāo)準(zhǔn)規(guī)程This standard

3、is issued under the fixed designation E 1049; the number immediately following the designation indicates the year of original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A superscript epsilon (e) indicates an editori

4、al change since the last revision or reapproval. 該標(biāo)準(zhǔn)發(fā)行時(shí)命名為E 1049；緊隨其后的數(shù)字表示最初采用或者修訂年份，括號(hào)內(nèi)的數(shù)字表示最近一次重新審批的年份。上標(biāo)表明自上次修訂或重新審批后又做了一次編輯修改。1. Scope 適用范圍 1.1 These practices are a compilation of acceptable procedures for cycle-counting methods employed in fatigue analysis. This standard does not intend to rec

5、ommend a particular method.本規(guī)定針對(duì)疲勞分析中循環(huán)計(jì)數(shù)方法只給出了可匯編的程序步驟。本標(biāo)準(zhǔn)不會(huì)指定一個(gè)特定的方法。1.2 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine t

6、he applicability of regulatory limitations prior to use.本標(biāo)準(zhǔn)不旨在解決所有的安全問(wèn)題，如果有的話，也僅限于與其使用有關(guān)的。本標(biāo)準(zhǔn)的責(zé)任是在滿足確定規(guī)章限制的前提下，優(yōu)先使用其建立適當(dāng)?shù)陌踩徒】荡胧?. Referenced Documents 2.1ASTM Standards: Withdrawn. 撤回 ASTM標(biāo)準(zhǔn)： E 912 Definitions of Terms Relating to Fatigue LoadingE912中與疲勞載荷有關(guān)的條款的定義3. Terminology 術(shù)語(yǔ)3.1 Definitions:

7、定義3.1.1 constant amplitude loadingin fatigue loading, a loading in which all of the peak loads are equal and all of the valley loads are equal. 恒定幅值加載在疲勞載荷中，其所有的所有峰值載荷和峰谷載荷是相等的。3.1.2 cyclein fatigue loading, under constant amplitude loading, the load variation from the minimum to the maximum and the

8、n to the minimum load. NOTE 1In spectrum loading, definition of cycle varies with the counting method used.循環(huán)疲勞載荷中，在恒定幅值加載下，載荷變動(dòng)從最小值到最大值，然后到最小負(fù)載的。注1：在載荷譜中，該定義是用來(lái)對(duì)循環(huán)變化時(shí)計(jì)數(shù)使用的。3.1.3 mean crossingsin fatigue loading, the number of times that the load-time history crosses the mean-load level with a posit

9、ive slope (or a negative slope, or both, as specified) during a given length of the history (see Fig. 1). 平均交叉（橫跨參考載荷的交叉）疲勞載荷中，在給定一段載荷-時(shí)間歷程，該載荷時(shí)間曲線以正的斜率（或者負(fù)的斜率，或者指定同時(shí)存在）穿過(guò)平均載荷水平的次數(shù)（請(qǐng)參閱圖1）。3.1.3.1 DiscussionFor purposes related to cycle counting, a mean crossing may be defined as a crossing of the re

10、ference load level. 討論與循環(huán)計(jì)數(shù)目的相關(guān)的，一個(gè)平均交叉可以定義為一次穿越參考載荷水平。3.1.4 mean load, Pm in fatigue loading, the algebraic average of the maximum and minimum loads in constant amplitude loading, or of individual cycles in spectrum loading, Pm=(Pmax+Pmin )/2 (1)or the integral average of the instantaneous load val

11、ues or the algebraic average of the peak and valley loads of a spectrum loading history. 平均載荷疲勞載荷中，在恒定幅值加載時(shí)最大和最小載荷的代數(shù)平均，或載荷譜中各個(gè)循環(huán)的代數(shù)平均，或瞬時(shí)載荷值的積分平均，或者載荷譜歷程中的峰值和谷值載荷的代數(shù)平均。3.1.5 peakin fatigue loading, the point at which the first derivative of the load-time history changes from a positive to a negativ

12、e sign; the point of maximum load in constant amplitude loading (see Fig. 1). 峰值在疲勞載荷，載荷時(shí)間歷程一階導(dǎo)數(shù)從正變?yōu)樨?fù)時(shí)的那個(gè)點(diǎn)；恒定幅值加載時(shí)則為載荷最大的點(diǎn)（參照?qǐng)D1）。3.1.6 rangein fatigue loading, the algebraic difference between successive valley and peak loads (positive range or increasing load range), or between successive peak and

13、valley loads (negative range or decreasing load range); see Fig. 1. NOTE 2In spectrum loading, range may have a different definition, depending on the counting method used; for example, “overall range” is defined by the algebraic difference between the largest peak and the smallest valley of a given

14、 load-time history. 范圍在疲勞載荷，連續(xù)的山谷和峰值載荷（正的范圍或增加的載荷范圍），或連續(xù)的峰值和谷值載荷（負(fù)的范圍或減少負(fù)載范圍）之間的代數(shù)差，請(qǐng)參閱圖1。注2：載荷譜中，范圍可以有不同的定義，這取決于所使用的計(jì)數(shù)方法，例如，“整體范圍”所定義的是在一個(gè)給定的載荷-時(shí)間歷程中最大峰值和最小峰谷代數(shù)差。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

15、valley loads, which are not necessarily successive events. In these practices, the definition of the word “range” is broadened so that events of this type are also included.討論在各種方法的循環(huán)計(jì)數(shù)中，一般采用峰谷和峰值載荷之間的范圍，或峰值和谷值載荷，這里的峰值和谷值不一定是連續(xù)的。在這些用法中，“范圍”這個(gè)詞的定義被擴(kuò)大，不連續(xù)的這種情形也包括在內(nèi)。3.1.7 reversalin fatigue loading, th

16、e point at which the first derivative of the load-time history changes sign (see Fig. 1). NOTE 3In constant amplitude loading, a cycle is equal to two reversals. 反轉(zhuǎn)疲勞載荷中，該點(diǎn)的載荷-時(shí)間歷程一階導(dǎo)數(shù)改變符號(hào)（參照?qǐng)D1）。注3：在常幅載荷中，一個(gè)周期等于兩次逆轉(zhuǎn)。3.1.8 spectrum loadingin fatigue loading, a loading in which all of the peak loads a

17、re not equal or all of the valley loads are not equal, or both. (Also known as variable amplitude loading or irregular loading.) 載荷譜在疲勞載荷中，一次加載中所有的峰值載荷是不相等的或所有的峰谷載荷是不相等的，或兩者兼有。（也稱為變幅載荷或隨機(jī)載荷）。3.1.9 valleyin fatigue loading, the point at which the first derivative of the load-time history changes from

18、 a negative to a positive sign (also known as trough); the point of minimum load in constant amplitude loading (see Fig. 1). 峰谷疲勞載荷中，該點(diǎn)的載荷-時(shí)間歷史一階導(dǎo)數(shù)從負(fù)變化為正（也被稱為波谷）;恒定幅值載荷中的最小負(fù)載點(diǎn)的（參照?qǐng)D1）。3.2 Definitions of Terms Specific to This Standard: 定義本標(biāo)準(zhǔn)的特殊條款3.2.1 loadused in these practices to denote force, stre

19、ss, strain, torque, acceleration, deflection, or other parameters of interest. 載荷在這些做法表示力，應(yīng)力，應(yīng)變，扭矩，加速度，撓度或其它感興趣的參數(shù)。3.2.2 reference loadfor spectrum loading , used in these practices to denote the loading level that represents a steady-state condition upon which load variations are superimposed. The

20、reference load may be identical to the mean load of the history, but this is not required. 3.3 For other definitions of terms used in these practices refer to Definitions E 912.參考（基準(zhǔn)）載荷對(duì)于載荷譜加載，用于表示的加載水平，它表示一個(gè)穩(wěn)定狀態(tài)并且載荷變化是可以疊加的。參考載荷與歷程中的平均載荷可以是相同的，但是這不是必需的。對(duì)于其他的這些規(guī)定中使用的術(shù)語(yǔ)的定義，請(qǐng)參閱定義E912。4. Significance a

21、nd Use 意義和使用4.1 Cycle counting is used to summarize (often lengthy)irregular load-versus-time histories by providing the number of times cycles of various sizes occur. The definition of a cycle varies with the method of cycle counting. These practices cover the procedures used to obtain cycle counts

22、 by various methods, including level-crossing counting, peak counting, simple-range counting, range-pair counting, and rainflow counting. Cycle counts can be made for time histories of force, stress, strain, torque, acceleration, deflection, or other loading parameters of interest.循環(huán)計(jì)數(shù)用于匯總（通常是冗長(zhǎng)的）不規(guī)

23、則的負(fù)載與時(shí)間歷程，通過(guò)提供循環(huán)的各種尺寸發(fā)生的數(shù)目。隨循環(huán)計(jì)數(shù)的方法的變化一個(gè)循環(huán)有不同的定義。這些規(guī)程涉及的程序，用了不同方法來(lái)獲取循環(huán)計(jì)數(shù)，包括交叉計(jì)數(shù)，峰值計(jì)數(shù)，簡(jiǎn)單的范圍計(jì)數(shù)，范圍-對(duì)計(jì)數(shù)以及雨流計(jì)數(shù)。循環(huán)計(jì)數(shù)隨時(shí)間歷程的參數(shù)有力，應(yīng)力，應(yīng)變，扭矩，加速度，撓度或其它感興趣的負(fù)載參數(shù)。5. Procedures for Cycle Counting 循環(huán)計(jì)數(shù)的程序5.1 Level-Crossing Counting : 水平交叉計(jì)數(shù)：5.1.1 Results of a level-crossing count are shown in Fig. 2(a). One count i

24、s recorded each time the positive sloped portion of the load exceeds a preset level above the reference load, and each time the negative sloped portion of the load exceeds a preset level below the reference load. Reference load crossings are counted on the positive sloped portion of the loading hist

25、ory. It makes no difference whether positive or negative slope crossings are counted. The distinction is made only to reduce the total number of events by a factor of two.一個(gè)水平交叉的計(jì)數(shù)結(jié)果顯示于圖2(a)。每一次正斜率部分的載荷超過(guò)預(yù)先設(shè)定的高于參考載荷的水平，以及每一次的負(fù)斜率部分的載荷超過(guò)預(yù)先設(shè)定的低于參考載荷的水平，記錄一次計(jì)數(shù)。載荷歷程中橫穿參考載荷的正斜率部分會(huì)被計(jì)數(shù)。無(wú)論是正或負(fù)斜率橫穿進(jìn)行計(jì)數(shù)，這都沒(méi)有區(qū)別

26、。區(qū)別僅僅是減少總的事件數(shù)為一半。5.1.2 In practice, restrictions on the level-crossing counts are often specified to eliminate small amplitude variations which can give rise to a large number of counts. This may be accomplished by filtering small load excursions prior to cycle counting. A second method is to make n

27、o counts at the reference load and to specify that only one count be made between successive crossings of a secondary lower level associated with each level above the reference load, or a secondary higher level associated with each level below the reference load. Fig.2(b) illustrates this second met

28、hod. A variation of the second method is to use the same secondary level for all counting levels above the reference load, and another for all levels below the reference load. In this case the levels are generally not evenly spaced. 在這種方法中，水平交叉計(jì)數(shù)通常用來(lái)消除小幅度變化，這可能會(huì)引起大量的計(jì)數(shù)。它可以在循環(huán)計(jì)數(shù)之前通過(guò)過(guò)濾小載荷振幅來(lái)完成。第二種方法是在

29、參考載荷水平?jīng)]有計(jì)數(shù)，并指定連續(xù)的橫穿高于參考載荷的水平且與該水平相關(guān)的二次較低水平只能計(jì)數(shù)一次，或低于于參考載荷的水平且與該水平相關(guān)的二次較高水平。圖2(b)闡釋了第二方法。第二種方法的一個(gè)變體是使用相同的二級(jí)水平可用于所有參考載荷以上的水平的計(jì)數(shù)，和另一些所有低于參考載荷的水平計(jì)數(shù)。在這種情況下，載荷水平一般不會(huì)均勻地間隔開(kāi)。5.1.3 The most damaging cycle count for fatigue analysis is derived from the level-crossing count by first constructing the largest po

30、ssible cycle, followed by the second largest, etc.,until all level crossings are used. Reversal points are assumed to occur halfway between levels. This process is illustrated by Fig. 2(c). Note that once this most damaging cycle count is obtained, the cycles could be applied in any desired order, a

31、nd this order could have a secondary effect on the amount of damage. Other methods of deriving a cycle count from the level-crossings count could be used. 疲勞分析中最具破壞性的循環(huán)計(jì)數(shù)首先來(lái)自構(gòu)造最大循環(huán)水平穿越計(jì)數(shù)，其次是第二大，等等，直到所有的水平交叉被計(jì)數(shù)。假設(shè)逆轉(zhuǎn)點(diǎn)發(fā)生在（相鄰）水平間的半路。此過(guò)程如圖2(c)所示。注意，一旦得到這個(gè)最具破壞性的循環(huán)計(jì)數(shù)，循環(huán)可以以任何所需要的順序來(lái)應(yīng)用，該順序可能有一個(gè)傷害量的二次效應(yīng)。也可使用其

32、他方法從水平交叉計(jì)數(shù)得到另一個(gè)循環(huán)計(jì)數(shù)。5.2 Peak Counting: 波峰計(jì)數(shù)5.2.1 Peak counting identifies the occurrence of a relative maximum or minimum load value. Peaks above the reference load level are counted, and valleys below the reference load level are counted, as shown in Fig. 3(a). Results for peaks and valleys are usu

33、ally reported separately. A variation of this method is to count all peaks and valleys without regard to the reference load. 峰值計(jì)數(shù)標(biāo)識(shí)產(chǎn)生的相對(duì)最大或最小載荷值。計(jì)數(shù)包括高于參考載荷水平的峰值以及低于參考載荷水平的峰谷，如圖3(a)所示。波峰和波谷的結(jié)果通常是單獨(dú)記錄的。這種方法的一個(gè)變體是計(jì)數(shù)所有波峰和波谷時(shí)不用考慮參考載荷。5.2.2 To eliminate small amplitude loadings, mean-crossing peak countin

34、g is often used. Instead of counting all peaks and valleys, only the largest peak or valley between two successive mean crossings is counted as shown in Fig. 3(b). 為了消除小幅度載荷，平均交叉峰值計(jì)數(shù)經(jīng)常被使用。代替計(jì)數(shù)所有的峰值和峰谷，只在兩個(gè)連續(xù)的平均交叉間的峰值或峰谷才被計(jì)數(shù)，如圖3（b）所示。5.2.3 The most damaging cycle count for fatigue analysis is derived

35、 from the peak count by rst constructing the largest possible cycle, using the highest peak and lowest valley, crossings are counted on the positive sloped portion of the followed by the second largest cycle, etc., until all peak counts are used. This process is illustrated by Fig. 3(c). Note that o

36、nce this most damaging cycle count is obtained, Alternate methods of deriving a cycle count, such as randomly selecting pairs of peaks and valleys, are sometimes used. 疲勞分析中最具破壞性的循環(huán)計(jì)數(shù)首先來(lái)自使用最高峰值和最低峰谷構(gòu)造最大循環(huán)峰值計(jì)數(shù)，計(jì)數(shù)斜率為正的交叉，其次是第二大循環(huán)，等等，直到所有的峰值計(jì)數(shù)使用。此過(guò)程是如圖3(c)所示。注意，一旦這個(gè)最具破壞性的循環(huán)得以計(jì)數(shù)，其后循環(huán)的計(jì)數(shù)有時(shí)采用隨機(jī)地選擇成對(duì)峰值和谷谷。

37、5.3 Simple-Range Counting: 簡(jiǎn)單-范圍計(jì)數(shù)5.3.1 For this method, a range is dened as the difference between two successive reversals, the range being positive when a valley is followed by a peak and negative when a peak is followed by a valley. The method is illustrated in Fig. 4. Positive ranges, negative

38、ranges, or both, may be counted with this method. If only positive or only negative ranges are counted, then each is counted as one cycle. If both positive and negative ranges are counted, then each is counted as one-half cycle. Ranges smaller than a chosen value are usually eliminated before counti

39、ng. 對(duì)于這種方法，一個(gè)范圍被定義為兩個(gè)連續(xù)的逆轉(zhuǎn)，不同之處在于，范圍為正則是一個(gè)峰谷后著一個(gè)峰值，為負(fù)則是一個(gè)峰值后著一個(gè)峰谷。方法如圖4中所示。正范圍，負(fù)范圍，或兩者，都可以用這種方法計(jì)數(shù)。如果只對(duì)正或負(fù)的范圍計(jì)數(shù)，那么每個(gè)計(jì)數(shù)為一個(gè)循環(huán)。如果正和面的范圍都進(jìn)行計(jì)數(shù)，那每個(gè)當(dāng)作半個(gè)循環(huán)進(jìn)行計(jì)數(shù)。通常在計(jì)數(shù)之前小于設(shè)定值的范圍會(huì)被排除。5.3.2 When the mean value of each range is also counted, the method is called simple range-mean counting. For the example of Fig.

40、 4, the result of a simple range-mean count is given in X1.1 in the form of a range-mean matrix. 當(dāng)每個(gè)范圍的平均值也被計(jì)數(shù)，該方法被稱為簡(jiǎn)單范圍-均值計(jì)數(shù)。對(duì)于圖4的例子中，在X1.1表中給出的是一個(gè)簡(jiǎn)單范圍均值計(jì)數(shù)以矩陣的形式給出的結(jié)果。5.4 Rainflow Counting and Related Methods: 雨流計(jì)數(shù)和相關(guān)的方法5.4.1 A number of different terms have been employed in the literature to desi

41、gnate cycle-counting methods which are similar to the rainflow method. These include range-pair counting (1, 2), The boldface numbers in parentheses refer to the list of references appended to these practices. 黑體括號(hào)中的數(shù)字是指這些方法依附的參考文獻(xiàn)列表 the Hayes method (3), the original rainflow method (4-6), range-pa

42、ir-range counting (7), ordered overall range counting (8), racetrack counting (9), and hysteresis loop counting (10). If the load history begins and ends with its maximum peak, or with its minimum valley, all of these give identical counts. In other cases, the counts are similar, but not generally i

43、dentical. Three methods in this class are defined here: range-pair counting, rainow counting, and a simplified method for repeating histories. 許多文獻(xiàn)中已經(jīng)指定類似雨流方法的循環(huán)計(jì)數(shù)法采用了一些不同的術(shù)語(yǔ)。這些方法包括范圍-對(duì)計(jì)數(shù)（1，2），海耶斯方法（3），原來(lái)的雨流計(jì)數(shù)法（4-6），范圍-對(duì)-范圍計(jì)數(shù)（7），命令整體范圍計(jì)數(shù)（8），賽馬場(chǎng)計(jì)數(shù)（9），和滯回環(huán)計(jì)數(shù)（10）。如果載荷歷程以其最大峰值，或者最小峰谷開(kāi)始和結(jié)束，所有這些方法有完全相同的計(jì)數(shù)

44、。在其他情況下，計(jì)數(shù)是相似的，但通常不相同。這類計(jì)數(shù)中三種方法被定義：范圍-對(duì)計(jì)數(shù)，雨流計(jì)數(shù)以及對(duì)重復(fù)歷程簡(jiǎn)化方法。5.4.2 The various methods similar to the rainow method may be used to obtain cycles and the mean value of each cycle; they are referred to as two-parameter methods. When the mean value is ignored, they are one-parameter methods, as are simple

45、-range counting, peak counting, etc. 各種方法類似雨流方法可以用來(lái)獲得循環(huán)和每個(gè)循環(huán)的平均值;它們被稱為兩參數(shù)方法。當(dāng)平均值被忽略時(shí)，他們是單參數(shù)的方法，例如簡(jiǎn)單-范圍計(jì)數(shù)，峰值計(jì)數(shù)等。5.4.3 Range-Pair CountingThe range-paired method counts a range as a cycle if it can be paired with a subsequent loading in the opposite direction. Rules for this method are as follows: 范圍-

46、對(duì)計(jì)數(shù)法如果一個(gè)范圍與后續(xù)的載荷在相反的方向上可以配對(duì)，范圍配對(duì)方法將該范圍計(jì)數(shù)為一個(gè)循環(huán)。此方法的規(guī)則如下：5.4.3.1 Let X denote range under consideration; and Y, previous range adjacent to X . 設(shè)X表示正在考慮的范圍，Y表示與X相鄰且在其之前范圍。(1) Read next peak or valley. If out of data, go to Step 5. 讀取下一個(gè)峰值或谷值。如果沒(méi)有數(shù)據(jù)，則轉(zhuǎn)到步驟5。(2) If there are less than three points, go to

47、Step 1. Form ranges X and Y using the three most recent peaks and valleys that have not been discarded.如果少于三個(gè)點(diǎn)，則轉(zhuǎn)到步驟1。使用最近的三個(gè)沒(méi)有被舍棄峰值和谷值，組成X和Y范圍。(3) Compare the absolute values of ranges X and Y. 比較X和Y范圍的絕對(duì)值 (a) If X Y, go to Step 1. 若X Y. Count |A-B | as one cycle and discard points A and B. (See Fi

48、g. 5(b). Note that a cycle is formed by pairing range A-B and a portion of range B-C.) Y= | A-B |，X=| B-C |;和X Y。計(jì)數(shù)| A-B|作為一個(gè)循環(huán)并舍棄點(diǎn)A和B（參見(jiàn)圖5（b），注意，一個(gè)循環(huán)由配對(duì)范圍AB和一部分BC范圍來(lái)形成。）(2) Y = |C-D|; X = |D-E |; and X Y. Y =| C-D |；X =| D-E|；和XY。(3) Y = |D-E|; X = |E-F |; and X Y. Y =| D-E |；X =| E-F |；和X Y. Count

49、 |E-F| as one cycle and discard points E and F. (See Fig. 5(c).) Y =| E-F| ；X =| F-G|；和X Y。計(jì)數(shù)| E-F|作為一個(gè)周期并丟棄點(diǎn)E和F。（參見(jiàn)圖5（c）。）(5) Y = |C-D|; X = |D-G |; and X Y. Count |C-D| as one cycle and discard points C and D. (See Fig. 5(d).) Y =| C-D |；X =| D-G|；和X Y。計(jì)數(shù)|C-D|作為一個(gè)循環(huán)并丟棄點(diǎn)C和D（參見(jiàn)圖5（d）。）(6) Y = |G-H|;

50、X = |H-I |; and X Y. Go to the end and count backwards. Y=| G-H | X =| H-I|；和X Y. Count H-I| as one cycle and discard points H and I. (See Fig. 5(e).) Y =| H-I|；X =| GH|；和X Y計(jì)數(shù)|H-I|作為一個(gè)循環(huán)并舍棄點(diǎn)H和I。（參見(jiàn)圖5（e） (8) End of counting. See the table in Fig. 5 for a summary of the cycles counted in this example

51、, and see Appendix X1.2 for this cycle count in the form of a range-mean matrix. 結(jié)束的計(jì)數(shù)。本例中的循環(huán)計(jì)數(shù)見(jiàn)圖5中的表匯總，此循環(huán)計(jì)數(shù)組成的一個(gè)范圍均值矩陣見(jiàn)附錄X1.2。 5.4.4 Rainflow Counting : 雨流計(jì)數(shù) 5.4.4.1 Rules for this method are as follows: let X denote range under consideration; Y, previous range adjacent to X ; and S, starting poin

52、t in the history. 方法規(guī)則如下：設(shè)X表示正在考慮的范圍；Y相鄰于X且在其以前的范圍；和歷程的起點(diǎn)S。 (1) Read next peak or valley. If out of data, go to Step 6. 讀取下一個(gè)峰值或谷值。如果沒(méi)有數(shù)據(jù)，請(qǐng)轉(zhuǎn)至步驟6。 (2) If there are less than three points, go to Step 1. Form ranges X and Y using the three most recent peaks and valleys that have not been discarded. 如果少

53、于三個(gè)點(diǎn)，則轉(zhuǎn)到步驟1。使用最近的三個(gè)沒(méi)有被舍棄峰值和谷值，組成X和Y范圍。 (3) Compare the absolute values of ranges X and Y. 比較X和Y范圍的絕對(duì)值 (a) If X Y , go to Step 1. 若X Y. Y contains S, that is, point A . Count |A-B | as one-half cycle and discard point A ; S = B. (See Fig. 6(b).) S= A，Y =| A-B |；X=| B-C | ；X Y。Y包含S，即A點(diǎn)。| A-B|計(jì)數(shù)半個(gè)循環(huán)，舍棄點(diǎn)A，S = B。（參見(jiàn)圖6（b）(2) Y = |B-C|; X = |C-D |; X Y. Y contains S, that is, point B. Count| B-C| as one-half cycle and discard point B ; S = C. (See Fig. 6(c).) Y=| B-C|，X= | C-D |；X Y 。Y包含S，即B點(diǎn)。計(jì)數(shù)| B-C |半個(gè)循環(huán)，并舍棄的點(diǎn)B，S= C。（參見(jiàn)圖6（c