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Tiêu đề Acoustics - Statistical methods for determining and verifying stated noise emission values of machinery and equipment Part 4: Methods for stated values for batches of machines
Trường học International Organization for Standardization
Chuyên ngành Acoustics
Thể loại Tiêu chuẩn
Năm xuất bản 1985
Thành phố Switzerland
Định dạng
Số trang 17
Dung lượng 3,51 MB

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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

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INTENATIONL 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 2

IS0 (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

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0 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

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Acoustics

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

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tion 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 6

If 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 7

Mak 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 8

Sto 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 9

A 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

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sin 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

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