Infor mation is in lu e to a sist th labeler parameters.. variable for perc nt defetve... tion of th nois emis ionv lu s of th batc s al le.. This prin- ciple is ap ro riate for ma s-pro
Trang 1INTENATIONL OR AIZ ATI N FOR STAN ADIZ ATI N*MEXAYAO nHAR OPTAU3AU flO CTAflATU3AU O R GAlsnTloN INTENATIO NAL E D NORMAL ISATION
Aco stq e - Mk oe statstq e p ur la d& terminato et ie co tr6ie de valeurs d& lar& es d’hmis io ao stqe de
ma hine et Bq ipements - Parte 4 : Mk o e p ur valeurs d& larbe de lots de ma hine
i
8
‘
Y
Decriptors : ao stic , ma hin ry, n is (s u d), statistic l q alty c ntol statisticl a aly is
R
R
s:
Trang 2IS0 (h Intern tion l Org niz tion for Sta d rdiz tion) is a w orldw id fe eration of
n tion l sta d r ds b die (IS0 member b die ) Th w ork of preparin Intern tion l
Sta d r ds is normaly c rr ie out throu h IS0 te h ic l commite s Ea h member
b d intere te in a s bje t for w hic a te h ic l commite h s be n e tabls e h s
th rig t to be repre e te on th t commite Intern tion l org niz tion , gov rn-
me tal a d non-gov rnme tal, in laison w ith ISO, also take par in th w ork
Draf t Intern tion l Sta d rd a o te by th te h ic l commite s ar e circ late to
th member b die for ap rov l befor e th ir a c pta c a Intern tion l Sta d rd by
th IS0 Cou ci Th y ar e ap rov d in a cord n e w ith IS0 proc d r es re uirin at
Intern tion l Sta d rd IS0 7 7 /4 was prepar ed by T ec nic l Commite ISO/ T C 4 ,
Aco stc
Us r s s ould note th t al Inter nation l Sta d rd u d rgo re ision fom time to time
a d th t a y refere c ma e h r ein to a y oth r Inter nation l Sta d rd imple its
late t e ition, u le s oth rw is state
0 Internatio al Organiz tio for Stan ardiz tio , 19 5 0
Pr inte in Sw itz rla d
i
Trang 30 Intod ction 1
1 Sco e a d field of ap lc tion 1
2 Refere c s 1
3 Definition
1 4 Ge eral 1
5 Guid ln s for th d termin tion of th labele v lu , L, by th labeler 2 6 Verifyin th labele v lu for a batc of ma hin s 3
6.1 Ge eral 3
6.2 Sin le s mpln in pe tion 3
6.3 Double s mpln in pe tion 4 6.4 Se u ntial s mpln in pe tion 4
7 Information to be giv n in a spe if i label n cod for a spe ific famiy ofma hin s 5
A nn x es A Oper atin c ara ter istic c rv s a d e ample of sin le, double a d s q e tial s mpln 6
B Guid ln s for e timatin sta d rd d viation a d for th u e of o eratin c ara ter istic c rv s 9
C Listofsy mb ls
14
Biblography 14
I
Trang 4Acoustics
A g n ral intod ction to th fourpar s rie of IS0 7 7 is
giv n in IS0 7 7 /l
F r th purp s s of this par of IS0 7 7 , th ter m “labele
v lu ” sta d for al k in s of state v lu (e.g information on a
label, th up er nois lmit s t by a a thority, th a re d con-
ta t v lu ) for whic th method ma be ap le
T his par of IS0 7 7 contain statistic l s mpln method for
c e k in th state nois emis ion v lu s for batc e (lots) of
c e k ed by s mpln proc d re A r efere c sta d rd d via-
spe ific famiy of ma hin s In a dition, information on th
type of s mpln to be u e (sin le, double or s q e tial) a d
th s mple siz is re uir ed Th proc d re spe if i d in this
par of IS0 7 7 a s me th t th nois emis ion v lu s of a
batc (lot) of ma hin s w il f olow a normal distibution Th
statistic l parameter s up n w hic this par of IS0 7 7 is ba e
a s me th t th re is a 9 % pro abi ty of a c pta c if no
more th n 6,5 % of th nois emis ionv lu s in a batc ex ce d
th labele v lu Infor mation is in lu e to a sist th labeler
parameters
T he method giv n in this par of IS0 7 7 e s re th t a batc
(lot) of ma hin s labele in a cord n e w ith th spe ific tion
f or th v rific tion proc d re h v a pre eter min d pro abi ty
of a c pta c
This par of IS0 7 7 provid s g id ln s for d ter minin th
labele v lu , L, by th labeler a d spe if i s statistic ls mpl-
of a batc (lot) of ma hin ry a d e uipme t w ith its labele
v lu
This par of IS0 7 7 is inte d d to a sist thos parie r esp n-
sible for dr aw in up spe if i label n cod s for spe if i fami e
of ma hin s It is also inte d d to be of u e to labeler s w ho
w ant th ir batc e of ma hin s to conform w ith v rific tion
proc d re th t ar e in a cord n e w ith th spe ific tion giv n
in th spe if i label n cod s ba e on cla s 7
This par of IS0 7 7 doe not d al w ith th con e u n e th t
e s e if th state v lu is not confir me a v rifie for a batc
(lot) of ma hin s
variable for perc nt defetve
IS0 4 71, Aco stc - Nois labeln ofma hinery an eq ip-
ment
IS0 774f 1, Aco stc - Statstc l meth ds for determinin
eqipment - Part I General co siderato s an definio s
F r th pur pos s of this par of IS0 7 7 , th d finition giv n
in IS0 7 7 /l ap ly
F r a batc of ma hin s, th nois emis ion v lu s wil cov r a
c rain ra g d e to th v riabi ty betw ee th ma hin s (el-
e a t me s re: sta d rd d viation of prod ction, a, a d d e
to me s r eme t erors oc urin u d r reprod cibi ty con i-
tion (ele a t me s r e: sta d rd d viation of reprod cibi ty ,
v ariabi ty is th total sta d rd d viation, ct
T he aim of label n a batc of ma hin s is to in ic te a
labele v lu , L, a lmit below whic a spe ifie larg pro or
1
Trang 5tion of th nois emis ionv lu s of th batc s al le L, is ex -
pre s d a a inte er in d cibels
w ith th labele v lu , this par IS0 7 7 w or k s on th prin-
ciple th t only a s mple fom th batc is me s r ed This prin-
ciple is ap ro riate for ma s-prod c d ma hin s This par of
IS0 7 7 con id rs th n e to contol ma hin s whic are to
nois compare w ith th labele v lu ; th refore, it ap le to
on -sid d c s s for c e kin a up er lmit, not to tw o-sid d
c s s w hic w ould also e clu e ma hin s w hic are to q iet
Th prin iple is ba e on bala cin r isk s whic ar e e pre s d
by a pair of v lu s: a spe ifie pro orion, p1-@, of nois emis-
spe if i d pro abi ty of reje tion, a , for a lot w ith this pro or
tionp1_ a
Verifyin compla c of th lot w ith th labele v lu is ba e
It s ould be note th t fixin a a dp1-a r es lts in al o eratin
c ar acteristic c rv s (OCs) inters ctin at th prod c r’s risk
p int
If th a tu l total sta d r d d viation is difere t fom th
refer en e sta d r d d viation oM, g id n e for th labeler is
giv n in cla s 5 a d a n x B
NOT E - In th ap lc tion of this p r of IS0 7 57, it is as me th t
al mes reme ts wi b p rorme b a te tin la oratory whic hs
a pro riate te t fa i tie a d tain d staf
ma hin s is th sole re p n ibi ty f th labeler, this cla s is
giv n for g id n e only to provid a pr edictable pro abi ty of
a c pta c
a) th t th nois emis ion v lu s of th batc ap roximate
to a normal distibution, c ara teriz d by th me n v lu p
a d th spe if i d refere c sta d r d d viation oM; a d
b) th t th reje tion pro abi ty for a batc is e u l to a
spe ifie v lu a if th labele v lu L, is c os n so th t
th pro orion of nois emis ion v lu s of th batc e -
c e in L, is e u l to th spe ifie v lu p, _ a
Proc d r es in this par of IS0 7 7 ar e ba e on a = 5 % a d
plma = 6,5 %
ex ists [s e, in paric lar, 7 c) to f)l
A r ea on bly lar ge n mber of me s r ed v lu s of in ivid al
ma hin s, Lz ar e d termin d in a cord n e w ith th spe if i
L, c n only be d ter min d in a cor da c w ith this par of
me s r eme t te t cod for th spe if i famiy of ma hin s
(Th a ter isk in th sy mb ls is u e h re to difere tiate be- IS0 7 7 if a spe ific label n cod in conformity with cla s 7
tw ee me s reme ts in conformity w ith this cla s a d thos
in conformity w ith cla s 6.1
NOT E - T he fix d v lu of 6,5 % w as co e in ord r
-
to c mply with th d finitio for L ;
-
to mak e s r e th t th difere c b tw ee L a d th
me n for
th b tc is res n bly lmite ; ad
-
to ahie e a c m o u d rsta din , c mp ra i ty ad c m-
p tibi ty of difere t L vlus for difere t ma hin s fom difere t
fami e of ma hin s
If th batc a d th labele v lu , L, confor m w ith th s
v alu s, th s mpln in pe tion pr oc d re ar e s t in s c a
1- a = 9 % a d th me n v lu w il be ex pe te to le ap-
proximately 1,5 oM below th labele v lu
NOT ES
1 If it is eplcitly k own th t a state v lu is n t a u p r vlu a s
L c b t reree ts a me n v lu (whic is n t in ac r da c with
1.5 ol\n to this me n v lu to o tain Cc
2 Meth d for e timatin ris fa tors ar e givn in a n x es A a d B;
th y ma b re lae b re ete , simulate a plctio of th ce k-
in pro eure u in a tu l mes reme t d ta, if th a s mptio th t
distib tio is u crain Normalty tets wi b d sribd in a future
Intern tio al Sta d rd
mahin s, a s d s rib d in this p r of IS0 77, bro dly c nforms to
IS0 351 whic is, h weer, d sig e for th in p ctio of b tc e
fom c ntin o s pro u tio IS0 351 d e n t pro id for d u le a d
sq e tial s mpln in p ctio , ad th o eratin c ara teristic c rv s
d n t intersct ea tly at th pro u er’s ris p int; this is, how ev r,
th aim of this p r of IS0 77 with th view to eta ls in th men-
in of L u ambig o sly
Th me n v lu , t, a d th total sta d rd d viation, sr are
ma hin s in a s mple (s e also cla s 8.2)
z* a d sr are e timate of th me n v lu *u a d th total sta -
d rd d viation, or, of th batc to be labele
In a cor da c w ith cla s B.3, e u tion ( 61, th folow in
e u tion w il provid g id n e for th labeler w ho wants to
h v a pro abi ty of a c pta c , P, d fin d by hims lf :
upa
L, = ,U + kCJp,j + -O t
J;i
w her e
foror f bM (2)
,u is th me n v lu of th batc ;
n is th spe ifie v rific tion s mple siz for sin le s m-
pln in pe tion (6.2) or th e uiv le t sin le s mple siz in
th c s of double s mpln in pe tion (s e 6.3) or s q e -
tial s mpln in pe tion (s e 6.4)
k is a fu ction of n, in a cor da c w ith table 1;
upa
is th q a tie of th normal distibution for th v lu
P, (s e table 7)
v rific tion;
or is th a tu l total sta d r d d viation
2
Trang 6If th labeler a c pts a risk f reje tion of 5 % (i.e h w ants to
h v a pro abi ty f a c pta c , P, of 9 % 1, th ab v e u -
tion re ult in th folow in tj :
L, = jd + 1,50,,
for+ = bM (3)
L, = ,U + 1.50 , + kbM - O t)
foror f ok ,, (4)
F r e ample , s e cla s 8.3
NOT E - Te tin ma be n c s ary fom time to time in ord r to e s re
th t th labele v lu contin eto be core t T estin is also re uire
whe e er phy sic l c a g s are ma e to th prod ction ma hin s th t
ma afe t th ir nois emis ion
th batc ar e d s ribe in this par of IS0 7 7 : sin le s m-
pln , double s mpln a d s q e tial s mpln Th r es lts
o tain d fom a y on of th thre pr oc d re w il g n raly e
distibute ap roximately a a normal distibution is v ld
spe if i d refere c sta d r d d viation, ok & for e c spe ific
famiy of ma hin s
Th s mple siz , n, in th c s of sin le s mpln for e uiv le t
e uiv le t max imum s mple siz nma in th c s of s q e tial
s mpln ) s al also be spe ifie for e c spe if i famiy of
ma hin s (s e a n x A ) In g n ral, double or s q e tial
s mpln re ults in a somewhat smaler n mber of ma hin s
bein te te
NOT E - Th r ea on for ap lyin only on of th thre proc d r es for a
spe if i famiy of ma hin s’is th t th pr oc d reare only e uiv le t
provid d th t th a s mptionof normalty is absolutely v ld
Th proc d r es outln d in 6.2 to 6.4 ar e ap lc ble for
reprod cibi ty con ition (s e 3.17 in IS0 7 7 1 1, a d for
repe tabi ty con ition (s e 3.16 in IS0 7 7 /l) It s al be
a c rain d th t no outsta din sy stematic eror of me s r e-
me t r es lts is con e te w ith rele a t lab rato e
F r e c of th proc d re outln d in 6.2 to 6.4, th me s re
v lu s, Li, s al be d termin d in a cor da c w ith th spe if i
me s reme t te t cod for th spe ific famiy of ma hin s [s e
prior to statistic l c lc lation
In a cord n e w ith 6.1 a d cla s 7, n a d ok ,, h v be n
spe if i d for th rele a t famiy of ma hin s
T ak e at ra dom a s mple of siz n fom th batc u d r con-
sid r ation
T he me s r ed v lu s are Li (i = 1, n) a d th ir me n v lu
is
”
n
c
i=l
A = L, - kfJM
(5)
U - a
k ~
-~,-~-
4-w her e
u1 -Pj -(I
= 1,514
2 1- 0 = 1,6 5
ar e th q a tie of th sta d rdiz d normaldistibution for
th v lu s 1 - p1 _ ( = 9 ,5 % a d 1 - a = 9 % re pe -
tiv ly
T able 1 giv s th v lu s for k for difere t s mple siz s n
T able 1 - A cc ptabi ty con ta t k for difere t s mple siz s n
k
1)
“p
h-a
Us e u tion ( ) or (21, bv repla in - with - =
fi
J;i- u1 - Pl#
- k [s e e u tion f7)l
w her e u,-~,-~ = 1,5
3
Trang 7Mak e th d cision on th a c ptabi ty of th labele v lu
u in th folow in rule :
if r < A , th labele v lu is confirme a v rifie for th
batc ;
c = L, - k&lM
u in k, fom table 2
( 0)
if L > A , th labele v lu is not confir me a v rifie for If E, < C, th labele v lu is confirme a v rifie for
for th batc
In a cord n e w ith 6.1 a d cla s 7, nl, n a d or, h v be n
spe ifie for th rele a t famiy of ma hin s
T ak e at r an om a s mple of spe if i d siz n1 fom th batc
u d r con id ration
NOT E - Se eample in A.4.2
In a cord n e w ith 6.1 a d cla s 7, nmaw a d em h v be n
spe if i d for th rele a t famiy of ma hin s
Th me s r edv lu s are 15; ( = 1, n, a d th ir me n v lu
is L
B = L, - kpM
(9 )
u in th a c ptabi ty con ta ts k, a d k, giv n intable 2
Star w ith th first item taken fom th batc u d r con id ra-
tion
A fter e c te t, c lc late th f olow in s mmation fom th n*
re ults L; th t h v be n o tain d:
n’
s n” =
c (Lip b)
( 1)
j=,
w her e b is taken fom th ap r opriate column in table 3
T able 2 - A cc ptabi ty con ta ts k, k, a d k for double
s mpln a d e uiv le t s mple siz s (sin le/ double)
T able 3 - A cc ptabi ty v lu s a, b a d r for s q e tial
s mpln a d e uiv le t s mple siz s (sin le/se u ntial)
Do ble s mpln
I
Eq ivalent
sin le s mpln
1
0.8 3
3
2,8 4
5
1.54
NOT E - T he o ly d u le s mpln pla s giv n ar e th s wh s
o eratin c arateristic crv es ar e n are t to th o eratin
cara teristic c rvs for th e uivle t sin le smpln pla s
1
1
I
1
2
2
3
3
n
u in th f olow in rule :
if E < A, th labele v lu is confirme a v rifie for th
batc ;
if z > B, th labele v lu is not confirme a v rifie for
th batc ;
if A < L < B, tak e a s con s mple of spe if i d siz n
Th me s r eme t v lu s of b th s mple are Li ( = 1, ,
“1 + 9) a d th ir total me n is Lt
r
L
,
Seq ential s mpln
3 - 1 2 7 u L, - 0,31 O
5 - 1,52 aM L,-0 ,564UM
6 - 1,71 O L,- 0,6S 2a 4
8 - 2,06 uM L,-0.78 0 ~
9 - 2,18 crM L,-0 ,8420 ,
1 - 2,32 ch.q L,-0,8S 2UM
12 - 2,54 uM L, - 0 ,9 32~
14 - 2,60 cM L, - o,S 66 ,
15 - 2,83 u, L,-0,!%4 ~
r
n
1,71 UM
4
2.~ UM
5
2,6 0 O
9
in le s mpln
NOT E - T he o ly sq e tial pla s giv n ar e th s w ho e o eratin
cara teristic crvs ar e n are t to th o eratin c arateristic c rvs
for th e uivle t sin le smpln pla s
Make th d cision (u in a a d r fom table 3) on th a c p-
tabi ty of th labele v lu u in th folow in rule :
if S, < a, th labele v lu is confir me a v rifie for th
batc ;
if S,*, > r, th labele v lu is not confirme a v rifie for
th batc ;
if a < S, < r, tak e th n xt item at ra dom fom th batc
a d ap ly th rule a ain
4
Trang 8Sto th s mpln if n* e u ls th spe if i d max imum s mple
ifS” m a x
< 0, th labele v lu is confirme a v rifie for
th batc ;
if S nma > 0, th labele v lu is not confir me a v rifie
for th batc
NOT E - Se e ample inA 4.3
In ord r to dr aw up a doc me t (spe ific label n cod ) for
ma hin s, con id ration s al be giv n to th folow in :
-
e onomic a pe ts of th v rific tion;
- relativ ma nitu e of th con umer’s risk (8, pg, AL ,
s e cla s A 3)
-
me s reme t d ta v riabi ty
Th r es lt of th s con id r ation s al be giv n in th spe ific
label n cod for th spe ific famiy of ma hin s in a cor da c
w ith th lst whic ap e rs below T he e label n spe if i a-
tion s ould preferably be in lu e a a a n x to th spe ific
me s r eme t te t cod for th spe ific famiy of ma hin s
tion :
a) a stateme t th t th spe ific label n cod is ba e on
this par of IS0 7 7 ;
b) a d finition of th famiy of ma hin s to w hic this te t
cod ap le ;
c) id ntific tion of th spe if i me s reme t te t cod for
th spe ific famiy of ma hin s;
cod spe ifie s v ral o tion ;
e) th s mpln proc d re to be u e (sin le, double or
s q e tial) a d rele a t s mple siz (n or nl a d n or nmax )
spe if i famiy ;
f) th refere c sta d r d d viation, or , to be u e whe
v rifyin conformity of a batc of a spe ific famiy;
g) a refere c to th rele a t o er atin c ar acteristic
c rv (OC) in a cor da c w ith a n x A w hic is d termin d
by th information provid d in e) ab v
If a spe ific label n cod for th spe ific famiy of ma hin s
doe not (y t) e ist, y t th method of this par of IS0 7 7
are inte d d to be ap le , th spe if i ation lste ab v
s ould be a re d up n (e.g by conta t) T hu or, mig t be
a re d up n on th ba is of th information on th a tu l total
sta d rd d viation, ot, for th rele a t batc e of ma hin s, a
1) Th tu c tionof th proc d r e whic is ma e for pr actic l re sonalters th o er atin c ara ter istic c rv in a u d fin d w ay Th tu c tion
eror is ig ore in this par of IS0 7 7
5
Trang 9A nne A
(This a n x forms a inte ral par of th sta d rd
th refore 5 % [pr od c r’s r isk
T his a n x provid s infor mation on th me nin of o er atin c ar acteristic c rv (OCI A s, in
c ar acteristic c rv s a d giv s g id ln s for th u e of th
o er atin c ara ter istic c rv s for s le tin th ap ro riate
s mple siz w he spe ify in a s mpln pla in a spe ific label-
ln cod for a spe if i famiy of ma hin s
Th v lu s for k giv n in table 1are ba e on a prod c r’s risk
of a = 5 % W he th pro orion of nois emis ion v lu s of
A
be n w ron ly reje te is
a dition to th f i e pro-
d c r ’s risk oint (p, _ ~, 1 - a ), th s mple siz n is spe ifie
ina spe ific label n cod for e c spe if i famiy of ma hin s,
th rele a t OC c rv is th refore fix d A n OC c rv s ows
th pro abi ty of a c pta c P, of th batc a a fu ction of
th pro orion p of th nois emis ion v lu s of th batc e -
spe ifie s mple siz s, n, are giv n in fig re 1
NOT E - T he c rv s in fig re 1 ar e d rivd fom
u a
= lq - p - k) x ,5
whic is th g n ral form of e u tio (7) giv n in 6.2
6
Co smer’s ris
p ints for p = 10 % -
p,e l= 6,5%
4
pP
P-
Pro orio p of n is emis io vlus of th lot
ece in th la ele vlu , L,
Fig re 1 - Operatin c ara ter istic c rv s (OCs) for sin le (double a d s q e tial) s mpln
Trang 10sin le s mpln in pe tion) th e uiv le t double s mpln
a d s q e tial s mpln pla s, in a cor da c with 6.3 a d 6.4,
wer e con tu te T he e OC c rv s are s bsta tialy simiar o
th OC c rv s for th sin le s mpln
fig re 1)
Example
Giv n
In conformity w ith cla s s 6 a d 7, th s mple siz n (og th r
with crM) s al be spe ifie for e c spe ific famiy of ma hin s
cod W he d cidin how to s le t n, it ma h lp to c lc late
pro orion p of nois emis ion v lu s e c e in L,’ th t a -
c pta c would only be p s ible w ith a v ry low pro abi ty of
only 10 % (/ I = 10 % con umer’s risk ) in te d of 9 % con-
n cte with th v lu L, (prod c r’s risk a = 5 %I Th lower
AL is, th larg r is th s mple siz n a d th smaler is th pro-
p rionp of nois emis ion v lu s ex ce din L,’ at th con-
s mer’s risk oint (or th v lu of u, s e table 7)
bM = 2 B
AL = 3 dB
T he
2,9 x 2
3
>
2
= 3.6 = 4
(s e 6.2)
OM
AL L,-L,‘=bq-a -u a )-
fi
.( 2)
Th f olow in spe ific tion are laid dow n for batc e of a
spe if i famiy of ma hin s:
= ( ,6 5 + 1,2 2) % = 2.9 3 %
n
=
3
F r a giv n AL , th s mple siz n is e tabls e afer a
rou din up to th n xt inte er
Labele v alu is L, = 87 dB
( 3)
From table 1:
n=
k = 0 ,5 64
Fig re 2 giv s this relation in graph form
A = L, - k bM = 8 7 - (0 ,564 x 2) = 8 5.9 dB