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中英文翻译版本:雨流计数法

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Designation: E 1049




85 (Reapproved 2005)



名称:


E1049



85


年(己重新审核批准


2005


年)




Standard Practices for



Cycle Counting in Fatigue Analysis


1



在疲劳分析中循环计数的标准规程





This


standard


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 editorial change since the last revision or reapproval.



该标准发行时命名为


E


1049


;紧随其后的数字表示最初采用或者修订年份,括号内的


数字表示最 近一次重新审批的年份。上标表明自上次修订或重新审批后又做了一次编辑修


改。




1. Scope



适用范围












1.1 These practices are a compilation of acceptable procedures for cycle-counting methods


employed in fatigue analysis. This standard does not intend to recommend a particular method.


本规定针对疲劳分析中循环计数方法只给出了 可汇编的程序步骤。


本标准不会指定一个


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 the applicability of regulatory limitations prior to use.


本标准不旨在解决所有的安全问题,


如果有的话,< /p>


也仅限于与其使用有关的。


本标准的


责任 是在满足确定规章限制的前提下,优先使用其建立适当的安全和健康措施。



2. Referenced Documents



2.1


ASTM Standards:


2




ASTM


标准:





E 912 Definitions of Terms Relating to Fatigue Loading < /p>


E912


中与疲劳载荷有关的条款的定义



3. Terminology


术语



3.1 Definitions:


定义



3.1.1 constant amplitude loading



in fatigue loading, a loading in which all of the peak loads



1



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.





疲劳与断裂中的这些规程属于


ASTM


委员会


E0-8

< br>管辖范围内,


E08.04


委员会对结构应用程序负直接 责任。




Current edition approved June 1, 2005. Published June 2005. Originally approved in 1985. Last previous edition


approved in 1997 as E1049



85(1997).




当前版本在


2005



6



1

日批准。发布时间:


2005



6


月。在


1985


年最初批准。最新上一 版本在


1997


年批准为


E1049- 85



1997






2



Withdrawn.


撤回



are equal and all of the valley loads are equal.



恒定幅值加载——在疲劳载荷中,其所有的所有峰值载荷和峰谷载荷是相等的。




3.1.2 cycle



in fatigue loading, under constant amplitude loading, the load variation from the


minimum to the maximum and then to the minimum load.




NOTE 1



In spectrum loading, definition of cycle varies with the counting method used.


循环——疲劳载荷中,


在恒定幅值 加载下,


载荷变动从最小值到最大值,


然后到最小负

< p>
载的。




1

< p>
:在载荷谱中,该定义是用来对循环变化时计数使用的。



3.1.3


mean


crossings



in


fatigue


loading,


the


number


of


times


that


the


load-time


history


crosses the mean-load level with a positive slope (or a negative slope, or both, as specified) during


a given length of the history (see Fig. 1).



平均交叉( 横跨参考载荷的交叉)——疲劳载荷中,在给定一段载荷


-


时间 历程,该载


荷时间曲线以正的斜率(或者负的斜率,


或者指定同 时存在)


穿过平均载荷水平的次数


(请


参阅图


1





3.1.3.1 Discussion



For purposes related to cycle counting, a mean crossing may be defined


as a crossing of the reference load level.



讨论——与循环计数目的相关的, 一个平均交叉可以定义为一次穿越参考载荷水平。



3.1.4


mean


load


,


P


m




in


fatigue


loading,


the


algebraic


average


of


the


maximum


and


minimum loads in constant amplitude loading, or of individual cycles in spectrum loading,



P


m=(


P


max

< br>+


P


min


)/2










(1)


or the integral average of the instantaneous load values or the algebraic average of the peak and


valley loads of a spectrum loading history.



平均载荷——疲劳载荷中,


在恒定幅值加载时最大和最小载荷的代数平均,

< p>
或载荷谱中


各个循环的代数平均,


或瞬时载荷值的 积分平均,


或者载荷谱历程中的峰值和谷值载荷的代


数平均。< /p>



3.1.5 peak



in fatigue loading, the point at which the first derivative of the load- time history


changes


from


a


positive


to


a


negative


sign;


the


point


of


maximum


load


in


constant


amplitude


loading (see Fig. 1).


< p>
峰值——在疲劳载荷,


载荷时间历程一阶导数从正变为负时的那个点;


恒定幅值加载时


则为载荷最大的点(参照图


1





3.1.6 range



in fatigue loading, the algebraic difference between successive valley and peak


loads


(positive


range


or


increasing


load


range),


or


between


successive


peak


and


valley


loads


(negative range or decreasing load range); see Fig. 1.



NOTE


2



In


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 load-time history.



范围——在疲劳载 荷,连续的山谷和峰值载荷(正的范围或增加的载荷范围)


,或连续

的峰值和谷值载荷(负的范围或减少负载范围)之间的代数差,请参阅图


1





2


:载荷谱中,范围可以有不同的定义,这取决于所使用的计数方法,例如,


“ 整体


范围”所定义的是在一个给定的载荷


-

时间历程中最大峰值和最小峰谷代数差。



3.1.6.1 Discussion



In cycle counting by various methods, it is common to employ ranges


between


valley


and


peak


loads,


or


between


peak


and


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.


讨论——在各种方法的循环计数中,

< br>一般采用峰谷和峰值载荷之间的范围,


或峰值和谷


值载荷 ,这里的峰值和谷值不一定是连续的。在这些用法中,



范围< /p>



这个词的定义被扩大,


不连续的这种情 形也包括在内。



3.1.7


reversal



in


fatigue


loading,


the


point


at


which


the


first


derivative


of


the


load-time


history changes sign (see Fig. 1).



NOTE 3



In constant amplitude loading, a cycle is equal to two reversals.



反转——疲劳载荷中,该点的载荷


-


时间历程一阶导数改变符号(参照图


1






3< /p>


:在常幅载荷中,一个周期等于两次逆转。



3.1.8 spectrum loading



in fatigue loading, a loading in which all of the peak loads are not


equal or all of the valley loads are not equal, or both. (Also known as variable amplitude loading


or irregular loading.)



载荷谱——在疲劳载荷中,

< p>
一次加载中所有的峰值载荷是不相等的或所有的峰谷载荷是


不相等的,或两 者兼有。


(也称为变幅载荷或随机载荷)



3.1.9


valley



in


fatigue


loading,


the


point


at


which


the


first


derivative


of


the


load-time


history changes from a negative to a positive sign (also known as trough); the point of minimum


load in constant amplitude loading (see Fig. 1).



峰谷——疲劳载荷中,该点的载荷


-


时间历史一阶导数从负变化为正(也被称为波谷)


;

< p>
恒定幅值载荷中的最小负载点的(参照图


1





3.2 Definitions of Terms Specific to This Standard:


定义本标准的特殊条款



3.2.1


load



used


in


these


practices


to


denote


force,


stress,


strain,


torque,


acceleration,


deflection, or other parameters of interest.



载荷——在这些做法表示力,应力,应 变,扭矩,加速度,挠度或其它感兴趣的参数。



3.2.2


reference


load



for


spectrum


loading


,


used


in


these


practices


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 the history, but this is not required.




3.3 For other definitions of terms used in these practices refer to Definitions E 912.


参考(基准)载荷——对于载荷谱加载,


用于表示的加载水平,它表示 一个稳定状态并


且载荷变化是可以叠加的。


参考载荷与历程中的 平均载荷可以是相同的,


但是这不是必需的。




对于其他的这些规定中使用的术语的定义,请参阅定义


E912




4. Significance and Use


意义和使用



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


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.


循环计数用于汇总


(通常是冗长的)


不规则的负载与时间历程,


通过提供 循环的各种尺


寸发生的数目。


随循环计数的方法的变化一个循环 有不同的定义。


这些规程涉及的程序,



了不同方法来获取循环计数,包括交叉计数,峰值计数,简单的范围计数,范围


-


对计数以


及雨流计数。循环计数随时间历程的参数有力,应力,应变 ,扭矩,加速度,挠度或其它感


兴趣的负载参数。



5. Procedures for Cycle Counting


循环计数的程序




5.1 Level-Crossing Counting :


水平交叉计数:




5.1.1


Results


of


a


level-crossing


count


are


shown


in


Fig.


2(a). One


count


is


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


history.


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.


一个水平交叉的计数结果显示于图


2(a)< /p>



每一次正斜率部分的载荷超过预先设定的高于

< br>参考载荷的水平,


以及每一次的负斜率部分的载荷超过预先设定的低于参考载荷的 水平,



录一次计数。


载荷历程中横穿 参考载荷的正斜率部分会被计数。


无论是正或负斜率横穿进行


计 数,这都没有区别。区别仅仅是减少总的事件数为一半。




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


no


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 method. 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.



在这种方法中,< /p>


水平交叉计数通常用来消除小幅度变化,


这可能会引起大量的计数 。



可以在循环计数之前通过过滤小载荷振幅来完成。第二种方 法是在参考载荷水平没有计数,


并指定连续的横穿高于参考载荷的水平且与该水平相关的 二次较低水平只能计数一次,


或低


于于参考载荷的水平且与该水 平相关的二次较高水平。



2(b)


阐 释了第二方法。


第二种方法


的一个变体是使用相同的二级水平可 用于所有参考载荷以上的水平的计数,


和另一些所有低


于参考载 荷的水平计数。在这种情况下,载荷水平一般不会均匀地间隔开。




5.1.3 The most damaging cycle count for fatigue analysis is derived from the level-crossing


count by first constructing the largest possible 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, and 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.



疲劳分析中最具破坏性的循环计数首先来自构造最大循环水平穿越计数,其次是第二

< br>大,等等,直到所有的水平交叉被计数。假设逆转点发生在(相邻)水平间的半路。此过程


如图


2(c)


所示。注意,一旦得到这个最具破坏性的 循环计数,循环可以以任何所需要的顺序


来应用,


该顺序可能有 一个伤害量的二次效应。


也可使用其他方法从水平交叉计数得到另一

个循环计数。



5.2 Peak Counting:


波峰计数



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 usually reported separately. A


variation of this method is to count all peaks and valleys without regard to the reference load.



峰值计数 标识产生的相对最大或最小载荷值。


计数包括高于参考载荷水平的峰值以及低

< p>
于参考载荷水平的峰谷,如图


3(a)


所示。波峰 和波谷的结果通常是单独记录的。这种方法的


一个变体是计数所有波峰和波谷时不用考虑 参考载荷。



5.2.2


To


eliminate


small


amplitude


loadings,


mean-crossing


peak


counting


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).



为了消除小幅度载荷,


平均交叉峰值计数经常被使用。


代替计数所有的峰值和峰谷,



在两个连续的平均交叉间的峰值或峰谷才被计数,如图


3



b


)所示。



5.2.3 The most damaging cycle count for fatigue analysis is derived 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 once 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.



疲劳分析中最具破坏性的循环计数首先来自使用最高峰值和最 低峰谷构造最大循环峰


值计数,计数斜率为正的交叉,其次是第二大循环,等等,直到所 有的峰值计数使用。此过


程是如图


3(c)

所示。注意,一旦这个最具破坏性的循环得以计数,其后循环的计数有时采用


随机地 选择成对峰值和谷谷。



5.3 Simple-Range Counting:


简单


-


范围计数



5.3.1


For this method, a range is de?ned 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 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 counting.



对于这种方法,


一个范围被定义为两个连续的逆转,


不同之处在于,

< br>范围为正则是一个


峰谷后着一个峰值,


为负则是一个峰值 后着一个峰谷。


方法如图


4


中所示。< /p>


正范围,


负范围,


或两者,都可以用这种 方法计数。如果只对正或负的范围计数,那么每个计数为一个循环。


如果正和面的范围都 进行计数,


那每个当作半个循环进行计数。


通常在计数之前小于 设定值


的范围会被排除。



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. 4, the result of a simple range-mean count is given


in X1.1 in the form of a range-mean matrix.


< p>
当每个范围的平均值也被计数,


该方法被称为简单范围

-


均值计数。


对于图


4

< p>
的例子中,



X1.1


表 中给出的是一个简单范围均值计数以矩阵的形式给出的结果。




5.4 Rainflow Counting and Related Methods:


雨流计数和相关的方法



5.4.1


A


number


of


different


terms


have


been


employed


in


the


literature


to


designate


cycle-counting


methods


which


are


similar


to


the


rainflow


method.


These


include


range-pair


counting


(1,


2),


3



the


Hayes


method


(3),


the


original


rainflow


method


(4-6),


range-pair-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


identical. Three methods in this class are defined here: range-


pair counting, rain?ow counting, and


a simplified method for repeating histories.



许多文献中已经指定类似雨流方法的 循环计数法采用了一些不同的术语。



这些方法包



3



The boldface numbers in parentheses refer to the list of references appended to these practices.




黑体括号中的数字是指这些方法依附的参考文献列表



-


-


-


-


-


-


-


-



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