Brake Pedal Force Determination

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    The c o n t e n t s o f t h i s r e p o r t r e f l e c t t h e v iew s

    o f t h e Highw ay S a f e t y R es e ar ch I n s t i t u t e w h ic h

    s

    r e s p o n s i b l e f o r t h e f a c t s and t h e a c cu ra c y

    o f t h e d a t a p r e s e n t e d h e r e i n The c o n t e n t s d o

    n o t n e c e s s a r i l y r e f l e c t t h e o f f i c i a l v ie w s o r

    p o l i c y o f t h e D e p ar tm e nt of T r a n s p o r t a t i o n .

    T h is r e p o r t d oe s n o t c o n s t i t u t e a s t a n d a rd

    s p e c i f i c a t i o n o r r e g u l a t i o n

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    s y s t e m d ~ e s i g n a r i a bl e s

    3

    Recipient s Catalog No.

    i

    . Report No.

    I

    un i ve r s i t y o f - Michigan

    Ann Ar bo r, Mic hig an 48105

    2. Government Accession No.

    7

    Author(s)

    R.G.

    Mortimer,

    L.

    S e g e l ,

    H

    Dugoff,

    J . D .

    Campbell, C.M. Jo rgeson ,

    R W

    Murphy

    9. Performing Organization Name and Address

    Highway Safe ty Research I n s t i t u t e

    11. Contract or Grant No .

    FH-11-6952

    8.

    Perform~ng Organization Report No.

    HuF- 6a

    10.

    Work

    Unit No.

    N z t i o n a l ~ i ~ h w a ~afety Bureau

    Washington, D .C . 20591

    12 . Sponsoring Agency Name and Address

    Federal Hiahwav Administrat ion

    .

    14.

    Sponsoring Age.ncy Code

    13. Type of Report and Period Covered

    Summary Final Report

    I

    Ju ly 1 , 1968-Apr i l 10 , 1970

    i

    I

    1 5

    Supplementary Notes

    --

    16

    Abstract The o b j e c t i v e o f t h i s s t u d y was t o d e f i n e t h o s e b ra ke c h a r a c t e r i s t i c s ,

    wi t h in th e space bounded by t he r e l a t i on sh ip between b rake peda l fo rce and

    v e h i c l e d e c e l e r a t i o n , wh ic h l e a d t o a c c e p t a b l e d r i v e r - v e h i c l e p er fo rm an ce . A

    d r i v e r - v e h i c l e b r a k i n g t e s t was pe rf or me d i n w hi ch t h e d e c e l e r a t i o n / p e d a l f o r c e

    i

    r a t i o , t h e pe d al d i sp la c em en t , t h e s u r f a c e - t i r e f r i c t i o n , and d r i v e r c h a r a c t er i s - l

    t i c s a g e , w ei g ht ) were s y s t e m a t i c a l l y v a r i e d i n o r d e r t o d e te rm in e t h e i n f l u e n c e ,

    of

    the se v a r i a b l es upon minimum s topp i ng d i s t a nc e and o the r pe rformance va r i ab le s :

    The t e s t s t h a t

    were

    performed on a low coe f f i c i e n t o f f r i c t i o n su r f a ce showed

    t h a t h i g h v a l u e s o f d e c e l e r a t i o n / p e d a l f o r c e g a i n r e s u l t i n l a r g e number of w he el 1

    lockups and lower mean de ce le r a t io n i n b r ing ing th e veh ic l e t o a s to p , compared

    I

    t o i n t e r m e d i a t e o r low d e c e l e r a t i o n / p e d a l f o r c e g a i n l e v e l s . Te s t s c on du c te d on ;

    i n t e r m e d i a t e a nd h i g h c o e f f i c i e n t of f r i c t i o n su r f a c e s showed t h a t h i g h an d

    i n t e r m e d i a t e d e c e l e r a t i o n / p e d a l f o r c e g a i n s pr od uc ed g r e a t e r mean d e c e l e r a t i o n s

    and gr ea te r f requ enc ies of wheel lockups than lower ga in systems. The f requency

    of l o s s of l a t e r a l c o n t r o l was s i g n i f i c a n t l y g r e a t e r w i th t h e h ig h d e c el e r a t io n /

    peda l fo rce ga in b rakes on a l l su r f ac es than wi th lower ga ins . There were minor

    ~ e n e f i t s f 2 . 5 i n c h p e d a l d i sp l a ce m en t compared t o ze r o i n ch e s . P o t e n t i a l

    b r a k e f a i l u r e s a nd t h e i r e f f e c t s upon p e d a l f o r c e r e q u ir e m e n t s w er e a na l yz e d .

    The i m p l i c a t i o n s o f t h e f i n d i n g s f o r a v e h i c l e b r a k i n g s t a n d a r d w er e shown i n

    terms

    o f d e c e l e r a t i o n / p e d a l f o r c e q a i n a nd p e d a l f o r c e .

    1 7

    Key Words

    BRAKING DECELERATION, STOPPING DISTANCE,

    DRIVER BRAKING

    PEDAL FORCE, PAVEMENT

    FRICTION, BRAKE FAILURE.

    19. Sectulty Classif.tof this report)

    20. Security Classif.(of this

    page)

    18.

    Distribution Statement

    A v a i l a b i l i t y i s unlimited. Document

    may be r e l ea sed t o th e Clea r inghouse

    f o r F e d er a l S c i e n t i f i c and T e c hn i ca l

    Inform at ion , Sp r i ng f i e l d , Va. 22151

    f o r s a l e t o t h e p u bl ic

    21. No. of Pages

    u n c l a s s i f i e d

    22. Pr~ce

    u n c l a s s i f i e d

    22 i-v

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    TABLE

    CONTENTS

    L i s t o f T a b l e s a n d F i g u r e s

    b j e c t i v e s

    Summa ry o f Ta sks

    i t e r a t u r e ~ e v i e w

    o o t F o r c e C a p a b i l i t y o f D r i v e r s

    D r i v e r B r a k i n g P e r fo r m a n c e a s a F u n c t i o n o f

    e d a l F o r c e a n d P e d a l .D i s p l a c e m e n t

    r i v e r B r a k in g P r a c t i c e

    a i l u r e A n a l y s i s

    i n d i n g s

    a x imum Foo t Forc e

    r i v e r V e h i c l e B r a k in g T e s t

    D e c e l e r a t i o n M a g ni tu de F re qu e n cy D i s t r i b u t i o n

    a i l u r e A n a l y s i s

    o n c l u s i o n s

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    LIST

    O FIGUR S

    i g u r e 1 F o o t p e d a l f o r c e m e a su re m en t b u ck .

    2

    i g u r e 2. B r a k e

    t e s t

    i n p r o g r e s s .

    i g u r e

    3

    C u m u l a t i v e p e r c e n t p e d a l f o r .c e f o r 276 f e m a l e s .

    6

    F i g u r e

    4 .

    C u m u la t i ve p e r c e n t p e d a l f o r c e f o r 3 23 m a l e s . 6

    F i g u r e

    5

    G e o m e tr ic mean d e c e l e r a t i o n a s a f u n c t i o n

    of

    d e -

    e l e r a t i o n / p e d a l f o r c e g a i n s p e e d an d s u r f a c e .

    8

    F i g u r e 6 . M e a n n u m b e r o f w h e e l l o c k u p s a s

    a

    f u n c t i o n o f

    e c e l e r a t i o n / p e d a l f o r c e g a i n a n d s p e ed . 1 0

    F i g u r e 7 . Mean n um ber o f w h e e l l o c k u p s a s a f u n c t i o n o f

    d e c e l e r a t i o n / p e d a l f o r c e g a i n a nd s u r f a c e . 10

    F i g u r e 8 . M ean w h e e l l o c k u p time a s a f u n c t i o n o f d e c e l e r -

    a t i o n / p e d a l f o r c e g a i n a nd s u r f a c e . . 1 2

    F i g u r e 9 . P e r c e n t w h ee l lo c k u p t i m e / t o t a l b r a k i n g t i m e

    a s a f u n c t i o n o f d e c e l e r a t i o n / p e d a l s u r f a c e . 1 2

    F i g u r e 1 0 . Mean c o n t r o l l a b i l i t y r a t i n g f o r 28 s u b j e c t s

    a s a f u n c t i o n o f d e c e l e r a t i o n / p e d a l

    f o r c e

    g a i n a nd p e d a l d i s p l a c e m e n t . 1 4

    F i g u r e 11 Mean r a t i n g o f f o r c e r e q u i r e d f o r 28 s u b j e c t s

    a s a f u n c t i o n o f d e c e l e r a t i o n / p e d a l f o r c e g a i n

    n d d i s p l a c e m e n t . . 1 4

    F i g u r e 1 2 . C u t- of f PFG v a l u e s f o r s a t i s f a c t o r y d r i v e r - v e h i c l e

    r a k i n g p e r f o rm a n c e . 1 6

    F i g u r e 13 . C u m u la t i ve p e r c e n t o f d e c e l e r a t i o n s f o r m an ua l

    n d p ow er b r a k e s . 1 7

    F i g u r e 1 4 . C u m ul at i ve p e r c e n t o f v e h i c l e s w i t h l ow e r g a i n :

    M a n u a l b r a k e s . 1 8

    F i g u r e 1 5 . C u m ul at i ve p e r c e n t o f v e h i c l e s w i t h l ow e r g a i n :

    P ow er b r a k e s . . 8

    F i g u r e 1 6 . C u m u la ti v e p e d a l f o r c e d i s t r i b u t i o n s f o r f r o n t

    a x l e b r a k e c i r c u i t f a i l u r e i n a l o a d e d s e d a n

    w i t h m a nu al b r a k e s . . 1 9

    F i g u r e 1 7 . T he recom mended d e c e l e r a t i o n / p e d a l f o r c e s p a c e . . 2 1

    LIST OF TABLES

    TABLE 1 RANK ORDER OF DECELERATION/PEDAL FORCE GAINS

    DIFFERING SIGNIFICANTLY I N

    D R I V E R

    VEHICLE

    BRAKING DECELERATION 9

    TABLE

    2 . PERCENT^ O T RIAL S INVOLVING LOSS O F LATERAL

    CONTROL

    AS A FUNCTION OF

    BRAKE

    SYSTEM SPEED

    AND

    SURFACE

    11

    v

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    O B JE C T IV E

    The ma jo r o b j e c t i v e o f t h i s s t u d y was t o d e f i n e t h e

    e nve l ope e nc l os i ng t h e r e l a t i on sh i p betw ee n ve h i c l e de c e l e r -

    a t i o n a nd b r a ke pe da l e f f o r t which g i ve s r i s e t o good d r i v e r -

    veh ic le b rak ing pe r formance .

    H a v i ng de r i ve d a su i t a b l e

    s e t

    of

    l i m i t i n g c o n d i t i o n s upon t h e d e c el e r a t i o n / pe d a l f o r c e g a i n a s

    a fun c t i on o f pe da l d i sp l a c e m e n t i t

    was

    a l so de s i r e d t o recom-

    mend an a p p rop r i a t e s e t of ob j e c t i ve t e s t i ng a nd c ompli ance

    procedures .

    The e f f e c t of v a r i ous t ype s o f b r a ke f a i l u r e s upon

    t h e b r ak e p e da l f o r c e r e q u i r e d t o o b t a i n a g i v en l e v e l o f d e c el -

    e r a t i o n was a l s o i n v e s t i g a t e d i n o r d e r t o d e r i v e a methodology

    by which dec el er at io n/ pe da l fo rc e r a t i o s may be recommended f o r

    a b rake f a i l u r e mode.

    SUMMARY OF TASKS

    I n o r d e r t o meet t h e o b j e c t i v e s o f t h i s program f i v e m aj or

    e x p er i m en t a l and a n a l y t i c a l t a s k s w ere c a r r i e d o u t .

    LITER TURE REVIEW

    r ev ie w o f t h e l i t e r a t u r e was c a r r i e d o u t p e r t i n e n t t o an

    a n a l y s i s

    of

    t h e d e c e l e r a ti o n / p e d a l f o r c e c h a r a c t e r i s t i c s of an

    a ut om ot ive ve h i c l e . The f a c t o r s c ons i de re d i m por t a n t i n t he

    review were brake system desi gn brak e usage skid ding brake

    t e s t i n g and d r i v e r c h a r a c t e r i s t i c s and b r ak e m od ul at io n.

    FOOT FORCE C P BILITY OF

    RIVERS

    The brake peda l on convent iona l ve h i c l es

    i s

    a c t u a t e d by t h e

    f o o t o r b ot h f e e t o f t h e d r i v e r . Fo r t h i s r ea so n

    t

    i s impor-

    t a n t t o know t h e f o o t f o r c e c a p a b i l i t i e s o f i n d i v i d u a l s c om pr is -

    in g th e dr iv in g popu la t io n. procedure was developed by which

    l e f t and r i g h t fo o t maximum forc e ex e r t i on could be measured

    f o r a sample of female and male dr iv er s .

    The pe dal fo rc e measur-

    ing buck shown i n Figu re was used i n th es e t e s t s . Male and

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    igure

    1

    oot p edal fo rc e measurement

    buck

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    fema le su b j ec t s were s e l e c te d a t random f rom ind iv id ua l s i n a

    lo ca l shoe s t o r e and a d r iv e r l i cen s in g o f f i ce . Two measure -

    ments of maximum fo o t f or ce were taken wi th t h e r i g h t and t he

    l e f t f o o t , e ac h. The i n s t r u c t i o n s on t h e f i r s t and second t r i a l s

    were v a r i e d suc h t h a t i n t h e s ec on d t r i a l t h e su b j e c t was a ske d

    t o ex er t th e ab so lu te maximum e f f o r t . Maximum fo ot f or ce f o r

    t h e r i g h t a nd l e f t f o o t , wei gh t and ag e f o r e a c h su b j e c t were

    ob ta ined .

    DRIVER

    BRAKING

    PERFORMANCE AS

    A

    FUNCTION OF PEDAL-FORCE

    AND

    PEDAL-DISPLACEMENT

    An exper ime nta l t e s t veh ic l e was con st r uc te d in which va r ia -

    t i o n s i n d e c e l e r a t i o n / p e d a l f o r c e g a i n and p ed a l d isp la c em e n t

    could be re ad i l y made. brakin g t e s t was devise d i n which a

    d r i v e r was r e q u i r e d , upon a s i g n a l , t o b r i n g t h e c a r t o a s t o p

    a s r a p i d l y a s p o s s i b l e w i t h i n a l a n e t e n f e e t wide d e l i n e a t e d by

    r ub be r t r a f f i c c on es F i gu r e

    2

    The t e s t was conducted on

    t h r e e su r f a c e s : a d r y a sp h a l t , wet a sp h a l t and a we t- pa in te d

    s u r f a ce . The r o l l i n g t i r e f r i c t i o n c o e f f i c i e n t s of t h es e s u r -

    f a c e s w er e, r e s p e c t i v e l y :

    86

    .71 and

    .40.

    Stops were made

    from

    35

    mph and 5 mph. The 2 8 t e s t su b je c t s were randomly

    se l e c t e d on t h e b a s i s of t h r e e we ig ht c a t e g o r i e s and f i v e a ge

    groupings, wi th an upper

    l m t

    of 6 0 y e a r s .

    Measurements t aken f rom th e s t a r t o f b rak ing con s i s t ed o f

    the braking d is ta nc e , brakin g t ime, number of wheels locked,

    du ra t io n of wheels locked, number of l os s of c on t r o l runs , pedal

    force and speed,

    DRIVER

    BRAKING PRACTICE

    The d e c e l e r a t i o n l e v e l s t h a t d r i v e r s u se d i n no rmal d r i v i n g

    co nd it io ns were measured by means of an ins tru men ted veh ic le .

    The vehicle was driven by personnel engaged

    on

    Un i v e r s i t y b u s i -

    ness . Measurements were made of th e dec e le ra t ion le ve ls t h a t

    were used by d r i ve rs and t he maximum de ce ler a t ion i n each ap pl i -

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    i gu r e 2

    Brake

    t s t in progress

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    c at io n of th e bra kes was rec orde d, By t h i s means a frequenc y

    d i s t r i bu t io n of th e peak dec e le ra t io ns employed i n everyday

    dr iv in g , on c i t y , r u r a l roads and expressways , were ob ta ined ,

    Such d a t a we re r eq u i r ed i n o rd e r t o p ro v id e i n form a t io n o f

    demands imposed upon th e s er v i ce brake and t he p ro ba bi l i ty wi t h

    which a given l ev e l of d ece le r a t i on

    s

    des i re d by d r iv er s . The

    l a t t e r d a t a were r e qu ir e d f o r a p p l i ca t i on i n t h e f a i l u r e a n a l y s i s

    p hase of t h e p ro j ec t .

    FAILURE ANALYSIS

    An an a ly s i s was con du ct ed t o d et e rm ine t h e e f f ec t of v a r i -

    o us f a i l u r e s i n t h e b rakin g s ys tem, s uch a s f ro n t and r ea r brak e

    c i r c u i t f a i l u r e , b o o s t e r f a i l u r e and b ra ke f a d e upon t h e p e da l

    f o r c e r e q u ir e d t o d e c e l e r a t e t h e v e h ic l e .

    FINDINGS

    M X I M U M

    FOOT

    FORCE

    The maximum fo rc e exer ted wi th t he r i g h t fo ot f or

    2 7 6

    f em ale d r i v e r s i n t h e s t and a rd1 ' m o t iva t i on ( t r i a l -1 ) and t h e

    induced mot iva t ion ( t r i a l - 2 ) cond i t i ons a r e shown i n th e form

    of a cu m ula ti ve p e rcen t d i s t r i b u t i o n of fo rc e i n F ig u re 3 The

    ana lo go us d a t a f o r t h e

    3 3

    male su bj ec ts a r e shown i n Figure 4

    The 5 th pe rc en t i l e fo r ce f o r females was

    7 0

    and 100 l b s i n th e

    two t r i a l s , and f o r m ale s

    1 4 0

    and 185 lbs.

    These da t a could be considered t o be over-es t imates of

    f o r c e l e v e l s t h a t may be a t t a i n e d i n

    a

    v eh ic l e s ea t , wh ich h as

    cons iderab le compl iance , because a hard s e a t was used i n th e

    t e s t f i x t u r e , On th e o th e r hand t h e s t r e s s of an emergency s i t u -

    a t i o n has been a rgu ed t o enab l e d r i v e r s

    t o e x e r t h i gh p ed al

    fo rc es . An in t er me dia te l e v e l between th e s tan dard motiva-

    t i o n and i nd uced m o t iv a t i o n p ed al fo rce l e v e l s fo r t h e 5 th p e r-

    c e n t i l e female would app ear t o be a r easo nabl e maximum for ce

    l e v e l t h a t d r i v e r s s h o uld be exp ect ed t o

    e x e r t t o d e r i v e a h ig h

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    PED L FORCE lbs)

    Figure 3 Cumulative percent pedal force

    for

    2 7 6 females

    PED L

    FORCE

    1b.S)

    Figure 4 Cumulative percent pedal force

    f o r

    3 2 3 females

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    l e v e l o f d e c e l e r a t i o n from t h e v e h i c l e . f o r c e o f 85 l b s i s

    th e r e f or e sugges ted by th es e d a t a a s t he maximum brake peda l

    e f f o r t f o r a v e h i cl e d e ce l er a t io n i n t h e o r d e r of 0 . 7 5 g.

    DRIVER VEHICLE BRAKING TEST

    The m aj or i n t e r e s t i n t h e b r a k in g t e s t was t o d e te r mi n e

    t h e e f f e c t o f t h e r e l a t i o n s h i p between d e c e l e r a t i o n and p ed a l

    f o r c e a nd p ed a l di s pl ac e me n t upon t h e a b i l i t y o f d r i v e r s t o

    minimize s t o p p i n g d i s t a n c e s , w h i le r e t a i n i n g c o n t r o l o f t h e

    v e h i c l e .

    The s t opp i ng d i s t a n c e s a c h i e ve d i n e a ch run du r i ng t h e t e s t

    we re c onve rt e d t o t he a ve ra ge de c e l e r a t i o n .

    An a n a l y s i s of

    va r i a nc e c a r r i e d o u t upon t h e a ve ra ge de c e l e r a t i on da t a showed

    t h a t t h e r e were no s i g n i f i c a n t e f f e c t s due t o t h e p e da l d i sp l a ce -

    ment va r i ab le .

    Thus, performance was s im i l ar f o r a pedal having

    a maximum displacement of 2 . 5 i n c he s , a t ab ou t 1000 p s i i n t h e

    bra ke l i n e , and one which had zer o in ch es disp lace ment . Mean

    d e c e l e r a t i o n s were s l i g h t l y f a v o r a b l e t o t h e p ed a l which d i s -

    p la ce d d u ri n g b ra ki ng . S t a t i s t i c a l l y s i g n i f i c a n t e f f e c t s were

    found due t o th e dec ele ra t ion /pe dal fo rc e gai n . The mean dece l -

    e r a t i o n s on ea ch o f t h e t h r e e s u r f a c e s , a t t h e two i n i t i a l sp e ed s ,

    f o r t h e de c e l e r a t i on / pe da l f o r c e ga i n l e ve l s a r e shown i n F i gu re

    5 . The h i g he s t ga i n de f i ne d a s h i gh de c e l e r a t i on / pe d a l f o r c e

    i n g / l b , o r a s p e da l f o r c e / d e c e l e r a t i o n i n l b s / g ) c o n fi g u r a-

    t i on d i d no t p rov ide optimum per formance i n any of th e sur fac e

    x speed combinatio ns. On t h e dr y and wet su rf ac es performance

    was

    a l s o p oo r a t low g a i n s .

    On t h e wet-painted s ur fa ce t h e low

    and in te rmed ia te ga in co nf i gu ra t ion s prov ided be s t per formance .

    Table shows t h e f in di n g s of Newman-Keuls t e s t s conducte d

    i n e ac h o f t he s u r f a c e and spe ed c ond i t i ons a c ross t he de c e l -

    e r a t i o n / p e d a l f o r c e g a i n l e v e l s .

    Values which a r e i n pa ren thes es

    i n d i c a t e t hose l e ve l s o f c on t ro l gai n which provi ded sup e r i o r

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    5

    mph

    5

    mph

    Dry

    Wet

    --. -. - ------

    El -

    etopainted

    w -

    Figure

    5.

    Geometr ic mean dec el er at io n a s

    a

    f u n c t i o n

    of

    d e c e l e r a t i o n / p e d a l f o r c e

    ga i n speed and su r fa ce .

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    TABLE

    1

    RANK

    ORDER

    OF DECELERATION/PEDAL FORCE GAINS

    DIFFERING SIGNIFICANTLY I N DRIVER VEHICLE

    BRAKING

    DECELERATION

    Dry Wet Wet-Painted

    PFG 3

    5 5

    35

    5

    35

    5

    Rank

    Level g / l b ) MPH MPH MPH MPH

    MPH MP

    Sum

    [Those v a l u e s b lo c ke d o f f i n d i c a t e t h e p e d a l f o r c e g a i n s

    p r o vi d i ng s i g n i f i c a n t l y g r e a t e s t mean d e c e l e r a t i o n u nd er

    e a ch s ur f a c e- s p e ed c o n d i t i o n ] .

    p er fo rm an ce t o o t h e r l e v e l s . The numbers w i t h i n t h e t a b l e i n d i -

    c a t e t h e

    r a n k i n g s o f e a ch o f t h e d e c e l e r a t i o n / p e d a l f o r c e g a i n

    l e v e l s i n t er ms of s i g n i f i c a n t d i f f e r e n c e s wi t h o t h e r l e v e l s .

    The mean f req uen cy wi th which whe els were l ocked up du r ing

    e ac h ru n a s a f u n c t i o n of t h e i n i t i a l s pe ed and t h e p ed a l f o r c e

    g a i n

    i s

    shown i n Fi gur e

    6 .

    There

    i s

    a c l e a r r e d u c t i o n i n wh ee l

    l oc k up f r e qu e nc y a s t h e g a i n i s decreased . There were s l i g h t l y

    l e ss w h ee l l o ck up s w i t h t h e

    2 . 5

    inch maximum displacement pedal

    t h an t h e d i s p l acem en t o n some o f t h e p ed a l f o r c e g a i n l e v e l s .

    There was a co ns id er ab le e f f e c t upon mean number of wheel

    lockups of

    t h e p a v e m e n t

    s u r f a c e , w i t h f a r g r e a t e r f re qu en cy of

    whee l lockups occ u r r ing on the wet -pa in ted su r f ac e than on

    e i t h e r t h e w et a nd t h e d r y which i n c u r r e d s i m i l a r f r e q u e n c i e s

    F i g u r e

    7

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    F i g u r e 6 Mean number o f wh eel loc ku ps a s a

    f u n c t i o n o f de c e l e r a t i o n /p e d a l f o r c e

    ga in and speed

    I

    Wet \

    P a i n t e d ,

    0.065 0.037 0.0 21 0.012

    0.007 0.004

    1)

    2 )

    3)

    4 )

    5 ) 6)

    DECELERATION/PEDAL FORCE GAIN g/lb)

    F i g u r e

    7

    Mean number of wheel lockups as a

    f u n c t i o n of d e c e l e r a t i o n / p e d a l f o r c e

    g a i n an d s u r f a c e

    10

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    The mean time f o r which wheels were locked up as a fun ct ion

    of t he pavement su r fa ce and the peda l fo rc e ga in

    i s shown i n

    F ig u re

    8 .

    The mean

    time

    of wheel lockup

    i s

    g r e a t e s t on t h e

    wet-

    p a in t ed s u r face . The re

    i s

    a co n s i s t e n t r ed u c t i o n i n wheel l ock-

    up

    t i m e

    a s t h e p e d al f o r c e g a i n

    i s

    reduced. The pr op or ti on of

    t h e b r a k i n g

    t i m e

    du ri ng which one o r more wheels were locked on

    e ac h o f t h e t h r e e s u r f a c e s

    i s

    shown i n Fi gur e 9 i n d i c a t i n g

    t h a t f o r as much as 60 percen t o f th e b rak ing

    time,

    on t h e wet-

    pai n te d su rf ac e, one or more wheels were locked.

    Loss of co n t ro l t r i a l s (Tab le 2 ) o ccu r red m ost o f t en w i th

    t h e h i g h e s t b ra ke pe da l ga i n . T he re a r e s m a ll d i f f e r e n c e s a t t r i -

    TABLE

    2.

    PER ENT^ OF

    TRIALS

    INVOLVING LOSS O

    LATERAL CONTROL AS

    A

    FUNCTION OF BRAKE

    SYSTEM, SPEED

    AND

    SURFACE

    Ped a l

    D i s -

    Deceler at ion/Pedal Force Gain (g / lb)

    p lacement Surface MPH 0.065 0.037 0.021 0 . 0 1 2 0.007 0.004

    ry

    Wet

    Wet-

    Pa in t ed

    Dry

    Wet

    Wet-

    Pa in t ed

    Mean

    p e rcen t Los s o f C o n t ro l T r i a l s i n a Tes t C o n di t i on

    To ta l (Su cces s ful Los s of C o n t ro l ) T r i a l s i n a

    x

    1 0 0

    Tes t Cond i t ion

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    PEFCENT WHEEL LOCKUP TIE E/

    TOTAL

    BR KING

    TIME

    t

    rn DJ

    c a r

    Y

    D

    Q

    nJ rD

    D

    ME N WH L LOCKUP TTVE s e c )

    -.

    C O

    E g

    - ?

    2:

    z

    m

    g -?

    xz

    *1

    w

    ?

    e:

    z

    -

    0

    .

    .

    t lo-

    u

    -0

    - 4

    .

    r 0

    -0

    3

    R) w

    r

    w

    1

    I I

    0

    w

    z

    Y O

    Y

    ID