Control of Acoustic Vibrations Inside Refrigerator Compressors By

7/24/2019 Control of Acoustic Vibrations Inside Refrigerator Compressors By

1/7

Purdue University

Purdue e-Pubs

I5'#5+# C' E+''+ C''%' S%* M'%*#+%# E+''+

1994

Control of Acoustic Vibrations Inside RefrigeratorCompressors by Means of Resonators

V. CossalterUniversity of Padova

A. DoriaUniversity of Padova

F. GiustoElectrolux Compressors

F8 5*+ #& #&&+5+# 8 #5: *://&%.+$.&'.'&/+%'%

+ &%'5 *# $'' #&' #7#+#$' 5** P&' '-P$, # ' 7+%' 5*' P&' +7'+5 L+$#+'. P'#' %5#%5 '$@&'.'&

#&&+5+# +#5+.

C'5' %''&+ # $' #%2+'& + +5 #& CD-ROM &+'%5 5*' R# . H'+% L#$#5+' #5 *://'+''+.&'.'&/

H'+%/E7'5/&'+5.*5

C#5', !.; D+#, A.; #& G+5, F., "C5 A%5+% !+$#5+ I+&' R'+'#5 C' $ M'# R'#5"(1994).International Compressor Engineering Conference. P#' 1036.*://&%.+$.&'.'&/+%'%/1036
http://docs.lib.purdue.edu/?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/me?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttps://engineering.purdue.edu/Herrick/Events/orderlit.htmlhttps://engineering.purdue.edu/Herrick/Events/orderlit.htmlhttps://engineering.purdue.edu/Herrick/Events/orderlit.htmlhttps://engineering.purdue.edu/Herrick/Events/orderlit.htmlhttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/me?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/icec?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPageshttp://docs.lib.purdue.edu/?utm_source=docs.lib.purdue.edu%2Ficec%2F1036&utm_medium=PDF&utm_campaign=PDFCoverPages


2/7


3/7


4/7

wh

ereS i

s the

area

of vi

brati

ng

sourc

es exc

ludin

g re

sonat

or or

ifice.

Sinc

e the

are

a AR

o

f

reso

nator

or

ifice

is

s

ma l l

, P;(x

,y,z)

is

assu

med co

nstan

t ov

er th i

s sur

face

an

d

e

qua l

to P

i(R),

th

us the

equ

atio

n

o

f a c

avity

mod

e

cou

pled to

the

Helm

holtz

reso

nator

is

2 Q

pc2

p

cz

~ +

2

(w ,P

,

+

w;P

; =

p: f

v.

JI,(x,

y,z)d

V-v

f

w

+ ;(x

,y,z )d

S-

v

A

R lJI

,(R)w

R

v

sl

,

(

1())

In

ord

er to

co

uple

res

onato

r

equ

ation

w

ith

the ca

v ity,

pre

ssure

p

in eq

uatio

n (4) is

expr

essed

a

s a

summation

ofthe pressures caused

by

the

modes

of the enclosure. The fo llowing seto f s econd

order

dif feren tial

eq

uatio

ns

i

s obta

ined

2

.

2

2

P

2(J

l) };

w

,

2

P;

=

P:

~

\f

;( x

,y ,z )d V

-

p:

I

w + ; (x

,y z )dS

- p:

A

R

+ ; (R

)w

R

V

S

wR +

2(Rw

Rw

R

w ~ w

R

1

-

IP ,l

.J I ;(

x ,y ,

z )

i

=

l n

pR

i

1

1)

wh

ere n is

the

nu

mber

of

mo

des wh

ich ar

c ta

ken in

to a

ccoun

t in

the

dyn

amic

m o

del .

If the

sou

rce

ofexci

tat ion

is th

e v ib

rat io

n of

a sm a

ll

part

A,

of th

ebou

nda r

ysu r

face

th e su

rface

in teg

ra l b

ecom

es

pc

z I

uJ

i

pc2 A

HI S)

WT-

x,y,z

)t . \

.

r .

w

1

v

l

v

l

j

12)

where

w

is thevibra t ion acce lerat io n

and

P;(S) is the constant va lue ofP;(x,y,z) ove r the smal l a rea

As.

INTE

RAC

TION

O

F

T

HE

RE

SON

ATO

R WITH

C

OMP

RESS

OR CA

VITY

M

ODE

S

A

ty p

ical

com

pres

sorcav

ity

was

co

nside

red,

it h

ad a v

olum

e V

o f 0

.0013

59m

2

an

d it

was

fill

ed w

ith

re

frige

ratin

g flu

id R

l34A

, h

avin

g de

nsity

p=

3.73

K

g/m

3

and sou

nd

sp

eedc= 1

72.3 m

/s

at 70

c

0

T

he fi

rst six

mod

es of the

cav

ity we

re ta

ken i

nto a

ccoun

t in

the m

athem

atic

a l m o

del;

the i r

frequ

encie

s, sha

pes

an

d dam

ping

s

are

su

mma

rized

i

n th e

table

.

M od

e

fiHzl

Type

V;

Si

1

39

4.4

axia

l

V

/2

().{)1

2

53 4

.6

axial

V /

2

0.01

3

644.4

a

xial

V /2

0

.01

4

856.6

tang

entia

l

V /4

().()1

100

40

300

5

6

E

nclo

sure

a

lone

(i()()

F

requ

ency

[H z

]

873.2

8

93.3

xo

o 900

F

igure

2:

Resp

onse

sp

ectra

( P

1

(R

)=l ,

P;(R)

=O i=

2,6)

axial

=ax

ial

1

9

0

5

0

4

0

3

00

V /2

0.01

V /2

0.

01

x

oo 9

00

Fre

quen

cy

[H z

]

F

igure

3: Re

spons

e spe

ctra

( t

1

R

)=l, t ;(R

)=0.3

i=2,6

)

565


5/7


6/7


7/7

Control of Acoustic Vibrations Inside Refrigerator Compressors By

Documents

Transcript of Control of Acoustic Vibrations Inside Refrigerator Compressors By