-
Designation: E 1049
–
85 (Reapproved
2005)
名称:
E1049
p>
至
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
p>
;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
p>
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
年
6
月
1
日批准。发布时间:
2005
年
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Withdrawn.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
载的。
注
1
: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,
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).
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;
p>
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
。
注
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
)
。
注
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,
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)
;
恒定幅值载荷中的最小负载点的(参照图
1
)
p>
。
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,
用
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
-
p>
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,
记
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
。
它
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。
图
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
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,
只
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.
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
的例子中,
在
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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