Seismic Slope Displacement B-M19 B-M-T18 V6

  

]rkiedure jkr Estfghtfln Yoehr-Flduied Yefsgfi Yckpe Dfspchiegelt jkr Yohcckw Irusthc Ehrtoquh`e

by Aklhtohl D. Brhy hld Akrne Ghiedk, UI Ber`ecey hld Nekrnfh Teio ]rkiedure jkr Estfghtfln Yoehr-Flduied Yoehr-Flduied Yefsgf Yefsgfi i Yckpe Dfspchiegelt Dfspchiegelt jkr Yohcckw Irusthc Irusthc Ehrtoquh`es, HYI YEE LKTEY BECK^ JKR NUFDHLIE FL TOE UYE KJ Y]REHDYOEET 

Flput ]hrhgeters

 

Ihse

]ucsesD8== (EX4&5)

 * Yecei Yeceitt Krdf Krdflh lhrr

(h)

Ypeitrhc Hiiecerhtfkl ( Yh(8.9Ts) ) ]eh` Nrkuld Zeckifty (]NZ) (d) ]erieltfce (fj ]ucse nrkuld Gktfkl)

seiklds

(h) (b)

=.49 >.2

seiklds

(i)

=.5 ?=.=

n ig/s

(d)

=.8= =.99

Vfecd Ikejjfifelt (`y) Flftfhc Juldhgelthc ]erfkd (Ts)(b) Denrhded ]erfkd (8.9Ts) Gkgelt Ghnlftude (Gw) (i)

(e)

8==    )    g ?   i 4%    (    t 5   l =%    e 8: %    g 9   e = ig    i    h    c    p 8===    s    f 55.   D 2i ig g    l =.5   h 6    f    d    e    G

Hddftfklhc Flput ]hrhgeters

]rkbhbfcfty kj Exieedhlie #8 (]8) ]rkbhbfcfty kj Exieedhlie #2 (]2) ]rkbhbfcfty kj Exieedhlie #9 (]9) Dfspchiegelt Toresokcd (d[toresokcd) Fltergedfhte Ihciuchted ]hrhgeters

Lkl-Qerk Yefsgfi Dfspchiegelt Est (D) Ythldhrd Devfhtfkl kj Lkl-Qerk Yefsgfi D Resucts

]rkbhbfcfty kj Lencfnfbce Dfspc. (](D7=)) D8 D2 D9

=.==

](D

ig

55.2

ig

66.9

ig

Lktes

8=

8. Zhcues ofnocfnoted fl bcue hre flput phrhgeters, hld resucts hre preselted fl toe thbce wfto toe yecckw oehdfln. 2. ]rkbhbfcfty kj Exieedhlie fs toe desfred prkbhbfcfty kj exieedfln h phrtfiuchr dfspchiegelt vhcue. 9. Dfspchiegelts D8, D2, hld D9 ikrrespkld tk ]8, ]2, hld ]9, respeitfvecy.   (e.n., toe prk prkbhbfcfty bhbfcfty kj exieedfln dfspchiegelt D8 fs ]8) 4. Toe 8:%, 5=%, hld ?4% perieltfce dfspchiegelt vhcues ht seceited `y vhcues hre sokwl tk toe rfnot. 5. Ihciuchted sefsgfi dfspchiegelts hre due tk devfhtkrfi dejkrghtfkl klcy (hdd fl vkcugetrfihccy flduied gkvegelt). 8

:. `y ghy rhlne betweel =.=8 hld =.?, Ts betweel = hld 2 s, Yh betweel =.==2 hld 4.5 n, G betweel 5.5 hld 6 >. Rfnfd sckpe fs hssuged jkr Ts 3 =.=5 s, s, f.e. Ts 7 =.=. Fj Ts fs aust cess tohl =.=5 s, set Ts 7 =.=5= s ?. ^oel h vhcue jkr D fs lkt ihciuchted, D fs 3 =.5 ig 6. `y sokucd be estfghted wfto h sckpe sthbfcfty prknrhg0 toe sfgpcfjfed equhtfkls sokwl beckw prkvfde hpprkxfghte vhcues. 8=. Exhgpces kj okw Ts fs estfghted hre sokwl beckw. 88. Zs 7 wefnoted hvn. soehr whve veckifty jkr toe scfdfln ghss, e.n., jkr 2 chyers, Zs 7 P(o8)(Zs8) + (o2)(Zs2)W/(o8 + o2)

(e)

 

. =.==

Jfnures jrkg Brhy, A.D. (2==>) –Iohpter 841 Yfgpcfjfed Yefsgfi Yckpe Dfspchiegelt ]rkiedures,‗ Ehrtoquh`e Nekteiolfihc Elnfleerfln, 4to Flter. Iklj. kl Ehrtoquh`e Nekteiolfihc Elnfleerfln Flvfted Ceitures, fl Nekteiolfihc, Nekcknfihc, hld Ehrtoquh`e Elnfleerfln Yerfes, Zkc. :, ]ftfch`fs, @yrfhzfs D., Ed., Yprflner, Zkc. :, pp. 92>-959.

   

 

s  

 

KrdflhryNG (EX2&9) ]ucsesD8== (EX4&5) ]ucsesD5= (EX:&>) Detergflfstfi-]seudkprkbhbfcfstfi Detergflfstfi]seudkprkbhbfcfstfi (EX

ANNE Akurlhc, fl press.

kr ]ucse cse kr Ikgbf gbfled Equhtf htfkls Bhsed kl pseudksthtfi hlhcysfs 8D1 Ts74O/Zs 2D1 Ts72.:O/Zs

Depel epeld delie elie kl `y

 

`y

=.=2= Flput toe Ypeitrhc Hiiecerhtfkl (n) ht   =.=5 toe bhse kj toe scfdfln ghss hssugfln   =.=>

](D7"=")

D (ig)

=.=== =.=== =.==4 =.828

55.2 25.> 84.8 5.:

=.:2?

2.?

=.=== =.=== =.===

  =.8 ]NZ (ig/s) estghed h oe bhse kj =.85 oe scfdfln ghss hssugfln oere fs lk   =.2 gherfhc hbkve f.   =.9 Fj ]ucse gktkl oe perieltce fs nfvel   =.4

toere fs lk ghterfhc hbkve ft.

hs eftoer D8== kr D5=. D8== sokucd s okucd be used jkr jhuct-lk jhuct-lkrghc rghc dfreitfkl

eq. (9) kr (5) kr (>) kr k r (6)

Gedfhl ?4% ]erieltfce 8:% ]erieltfce

eq. (2) kr (4) kr (:) kr k r (?) ihci. usfln eq. (88) ihci. usfln eq. (88) ihci. usfln eq. (88) eq. (88)

4:5.? 8:5.= 8==.9

   

= .= 5

= . 8=

= .8 5

= .2 =

= .2 5

 Vfecd  Vfe cd I Ike kejjfifel jjfifelt t

= .9 =

= .9 5

= .4 =

 

KrdflhryNG (EX2&9)

Dgedfhl (ig)

D-?4% (ig)

D-8:% (ig)

55.2 25.> 84.8 5.8

66.9 4:.2 25.4 6.:

9=.> 84.9 >.? 2.8

3=.5

9.=?

3=.5

4:5.? 8:5.= 8==.9

?9>.5 26:.> 8?=.9

256.= 68.? 55.?

 

]seudksthtfi Yefsgfi Ikejjfifelt Bhsed kl toe Brhy hld Ghiedk Yefsgfi Yckpe Dfspchiegelt Ge Use klcy jkr ihses fl wofio toe ]NZ 37 885 ig/s.

Toe pseudksthtfi sckpe sthbfcfty getokd sokucd

Flput ]hrhgeters

Dh (ig) Ts (s) 8.9Ts (s)

9= Hcckwhbce Yefsgfi Dfspchiegelt Toresokcd =.99 Flftfhc Juldhgelthc ]erfkd kj Ycfde Ghss =.49 Denr enrhded ded ]erfkd kj Ycfde Ghss

Yh(8.9Ts) (n) Gw

Ypeitr itrhc hc Hiiec Hiiecerh erhtfk tfkl l ht 8. 8.9Ts 9Ts ((5% 5% dhgpf dhgpfln ln)) ht toe toe bhse bhse kj toe toe scfdf scfdfln ln g =.45 Ype >.5 Gkgelt Ghnlftude

e

=.>4 Lk Lkrgh rghccy ccy dfst dfstrfb rfbut uted ed rh rhld ldkg kg v vhrf hrfhbc hbce e wfto wfto zerk zerk gehl gehl hld hld sthl sthldhr dhrd d devfh devfh Yet tk =.= jkr Dh ht toe gedf gedfhl hl (5=%) estfghte cevec, hld set tk =.>4 jk jkrr D

Fltergedfhte ]hrhgeters

x8 7 h7

=.46= i ik klsthlt 2.>:: Eq. 82b

x2 7

5.2>> vhcue fl phreltoesfs fl Eq. 82i

b7 x9 7

2.4>? Eq. 82i -2.492 vhcue fl phreltoesfs fl Eq. 82h

]seudksthtfi ` vhcue ` 7 =.=??

^fto tofs ` vhcue, fj toe pseudksthtfi JY 4 ht toe 8:% prkbhbfcf prkbhbfcfty ty kj exieedhlie cevec

e 5=% kr 8:% prkbhbfcfty kj exieedhlie cevec (f.e., e 7 = kr =.>4, respeitfvecy). respe itfvecy).

 

](D7=) (Detergflfst/pseudk-prkbhbfcfstfi evhcuhtfkl EX?)

](D7=) (Kr

]("=")7 8-e(h+bcl`y+icl(`y)\2+dTscl`y+eTs +lYH)

]("=")7 8-e

Jkr Ts 37 =.> s h

   

-2.45> -2.6>6

   

-=.824 -=.>=>

   

8.:?? 2.>56

b i d

Jkr Ts < =.> s

e j 

 

h

 

b

 

i

 

d

 

e

 

j   

=.==42

   

-9.4== -4.65=

   

-=.9== -=.99=

   

-=.:2= 2.?5=

J kr T s  

h

 

b

 

i

 

d

 

e

 

j  =.==458?

Gkdec jkr Dfspchiegelt Estfghte

cl(D)7h+bcl`y + icl`y2 + dcl`y*clYH89 + e*cl(YH89) + j*Pcl(YH89)W\2 + n*Ts + o*(G)+f*Ts\2+a*cl(]NZ)

Ikejjfife Ikejjf ifelts lts Zhc Zhcues ues h   -:.4:2 b   -2.:92 i   -=.2>? d e j  n o f  a e

               

=.52> 8.6>? -=.299 8.=:6 -=.=:= -=.46? 8.54> =.56=

 

   

 

dflhry Nrkuld gktfkls EX2) (h+bcl`y+icl(`y)\2+dTscl`y+eTs (h+bcl`y+icl(`y)\2+dTscl`y+eTs +lYH)

7 =.> s

]("=")7 8+exp(h

Jkr Ts < =.> s

-2.4?= -2.6>=

 

h

 

-=.82= -=.>2= 8.>== 2.>?=

b

   

-9.42= -4.69=

 

i

 

-=.9==

 

d

 

e

 

j 

     

-=.95= -=.:2= 2.?:=

Detergflfsi/]seudkprkbhbfcfsi bhsed Ikltrkc Lugber

Ts3=.8

Ts

->.>8?

2

-2.468

-2.468

-2.698

-2.698

9

-=.245

-=.245

-=.986

-=.986

4 5

=.944 2.>=9

=.944 2.>=9

=.5?4 2.2:8

=.5?4 2.2:8

:

-=.=?6

-=.=?6

-=.248

-=.248

>

-6.:??

9.852

-2.>98

8.=98

?

=.:=>

=.:=>

=.=5

=.=5

Ts2

6

=

-=.6=6>

=

-=.4?

]NZ

8=

=

=

8.45?

8.45?

=.>9:

=.>9:

=.54

=.54

ihse

:

Ts

(i8+i2*ckn(`y)+i9*(ckn(`y))\2+i4*ckn(`y)*ckn( (i8+i2*ckn(`y)+i9*(ckn(`y) )\2+i4*ckn(`y)*ckn(sh)+i5*ckn(sh)+i:*(ckn( sh)+i5*ckn(sh)+i:*(ckn(sh))\2 sh))\2 (i8+i2*ckn(`y)+i9*(ckn(`y))\2+i4*ckn(`y)*ckn( (i8+i2*ckn(`y)+i9*(ckn(`y) )\2+i4*ckn(`y)*ckn(sh)+i5*ckn(sh)+i:*(ckn( sh)+i5*ckn(sh)+i:*(ckn(sh))\2 sh))\2 8

->.4 -> .485 85+= +=.2 .226 26

2 9

-2.>5? - =.2? -=

-2.:92 -=.2>?

-9.=25 -=.989

-2.698 -=.986

4

=.526

=.52>

=.5>8

=.5?4

5

2.=?

8.6>?

2.928

2.2:8

:

- =.24 -=

-=.299

-=.249

-=.248

=.62 =. 62??-9. 9.>? >?6 6

8.=9 8. =988-9. 9.>: >:

>

=.6> =. 6>::-9. 9.?9 ?94 4

-:.4 -: .4:2 :2+= +=.2 .22> 2>

8.=: 8. =:66-9. 9.?8 ?89 9

-?.: -? .:85 85+= +=.2 .224 24

->.> -> .>8? 8?+= +=.2 .22 2

?

=

=

=

=

6

8.4>:

8.54>

8.954

8.45?

8=

=

-=.=:

=.8984

=.=5

8

->.485

-:.4:2

-?.:85

->.>8?

2

-2.>5?

-2.:92

-9.=25

-2.698

9

- =.2? -=

-=.2>?

-=.989

-=.986

4

=.526

=.52>

=.5>8

=.5?4

 

5

2.=?

8.6>?

2.928

2.2:8

:

- =.24 -=

-=.299

-=.249

-=.248

>

=.6>:

8.=:6

=.62?

8.=98

?

-=.4:>

-=.46?

-=.449

-=.4?

6

8.4>:

8.54>

8.954

8.45?

8=

=

-=.=:

=.8984

=.=5

 

](D7=)(]ucses, D8==, EX4) +bcl`y+icl(]NZ)+dTs+eclYH)

](D7=) (]ucses, D5=, ]("=")7 8+exp(h+bcl`y

Jkr Ts 37 =.> s h b i

 

Jkr Ts < =.> s

   

-8=.>?> -?.>8> 8.::=

   

9.85= >.5:=

d e

 

h

 

b

 

i

 

d

 

e

 

Jkr Ts 37 =.> s

   

-82.>>8 -6.6>6 2.2?:

   

-4.6:5 4.?8>

 

h

 

b

 

i

 

d

 

e

6.525=8E-=:

     

-84.69= -8=.9?9 8.6>8

   

9.>:9 ?.?82

>.955E-=: ]ucses

Krdflhry NG

D8== D8 ==,T ,Ts3 s3=. =.8 8

D8==,T D8== ,Tss 8.6>?

=.52> 8.6>?

=.944 2.:46

=.944 2.:46

-=.299

-=.299

-=.248

-=.248

-=.299

-=.299

-=.=6

-=.=6

-2.>44

8.=:6

-2.>98

8.=98

-2.>44

8.=:6

-6.4>8

9.229

-=.=:

-=.=:

=.=5

=.=5

-=.=:

-=.=:

=.:=9

=.:=9 =.

=

-=.46?

=

-=.4?

=

-=.46?

=

-=.645

8.54>

8.54>

=.=25

=.=25

-=.=6>

-=.=6>

=

=

=.56

=.56

=.54

=.54

=.56

=.56

=.>2

=.>2

i>*ts+i6*(ts)\2+i8=*ckn(]NZ)+I?*(Ghn)) i>*ts+i?*(ts)\2+i6*ckn(]NZ)+i8=*(Ghn)) 8

=

-=.=:

=.8984

=.=5

=

=

=

=

8.4>:

8.54>

8.954

8.45?

 

=

-=.=:

=.8984

=.=5

-=.4:>

-=.46?

-=.449

-=.4?

8.4>:

8.54>

8.954

8.45?

 

 

EX:)

+icl(]NZ)+dTs+eclYH) Jkr Ts < =.> s h b i

   

 

 

-84.:>8 -8=.4?6 2.222

     

   

-4.>56 5.546

   

d e

=.=2=     =.=5 =.=>     =.8   =.85   =.2 =.9 =.4

   

2.5?:E-88 2.4:?E-88

=.=======

5.292E-=: 5.5?8E-=:

=.=======

=.===8? 8?9 9> =.=== ==8 86?9

=.= =. === === ===4

=.==4862? =.==458?

=.=====65

=.=:886: =.=:46542

=.===92:4

=.22>6= 6=8 8> =.29? 9?= ==82

=.= =. ==9 =96 6622

=.::8=2 =28 8> =.:>9 >96 6?85 =.?6:?9 ?9? ?> =.6=9 =92 2?:5

=.82= =.8 2=> >?69 =.: =. :2> 2>> >6==

FJ($@$8478,G8:,FJ($@$8472,L8:,FJ($@$8479, FJ($@$8478,G8:,FJ( $@$8472,L8:,FJ($@$8479,K8:,FJ($@$8474,]8:,FJ K8:,FJ($@$8474,]8:,FJ($@$8475,X8:,FJ( ($@$8475,X8:,FJ( FJ(HL FJ( HLD(' D('Yef Yefsgf sgfi i Dfs Dfspch pchieg iegelt elt[Ir [Irust usthc' hc'!B8 !B8938 938=== ===,'Y ,'Yefs efsgfi gfi Dfs Dfspch pchieg iegelt elt[Ir [Irust usthc' hc'!B6 !B63=. 3=.

FJ(HLD('Yefsgfi Dfspchiegelt[Irusthc'!B893:=,'Yefsgfi Dfspchiegelt[Irusthc'!B63=.8),8 D fspchiegelt[Irusthc'!B63=.8),8

 

4.=::E-89 5.5=?E-=6 8.?82E-=> >.955E-=: =.===4652 =.==6>2:> =.96?859: =.62685??

$@$847:,R8:,FJ($@$847>,Y8:,FJ($@$847?,T8:,FJ $@$847:,R8:,FJ($@$847>,Y 8:,FJ($@$847?,T8:,FJ($@$8476,U8:,FJ($@$847 ($@$8476,U8:,FJ($@$8478=,Z8:))))))))) 8=,Z8:))))))))))) 8,'Yefsgf 8,'Ye fsgfi i Dfspc Dfspchiegel hiegelt[Ir t[Irusthc usthc'!B>7 '!B>7"Krdf "KrdflhryN lhryNG G (EX2 (EX2&9)") &9)"),8,FJ ,8,FJ(HLD (HLD('Yef ('Yefsgfi sgfi Dfsp Dfspchieg chiegelt[I elt[Irusthc rusthc'!B89 '!B8938== 38==

,FJ(HLD('Yefsgfi Dfspchiegelt[Irusthc'!B893:=,'Yefsgfi Dfspchiegelt[Irusthc'!B67 '!B>7"Krdf "KrdflhryN lhryNG G (EX2&9)"),2, (EX2&9)"),2,FJ(H FJ(HLD( LD(''

iegelt[Irusthc'!B897"]ucs "]ucsesD5= esD5= (EX: (EX:&>)") &>)"),9,FJ ,9,FJ(HL (HL

hc'!B89385=,'Yefsgfi Dfspchiegelt[Irusthc'!B67"]ucsesD8== (EX4&

sgfi Dfspchiegelt[Irusthc'!B897"]ucsesD8== >7"]ucsesD8==

egelt[ ege lt[Iru Irusth sthc'! c'!B84 B8475= 75=),? ),?,FJ( ,FJ(HLD HLD('Y ('Yefs efsgfi gfi Dfs Dfspch pchiege iegelt[ lt[Iru Irusth sthc'! c'!B89 B897"]ucsesD8== (EX4&5)"),8=,8==)))) 8,'Yefsgfi Dfspchiegelt[Irusthc

 

))))))

 

Yfgpcfjfed ]rkiedure jkr Estfghtfln Yefsgfi Yckpe Dfspchiegelts fl Yubduit Yubduitfkl fkl Qkles

by Aklhtohl D. Brhy, Akrne Ghiedk, hld Tohcefh Trhvhshrku Yfgpcfjf Yfgp cfjfed ed ]rk ]rkiedure iedure jkr E Estfg stfghtfln htfln Yefsgfi Yefsgfi Yckpe Yckpe Dfspchie Dfspchiegelts gelts jkr Y Yubduit ubduitfkl fkl Q Qkle kle Ehr Ehrtoquh`e toquh`es, s, HYIE HYIE AN YEE LKTEY BECK^ JKR NUFDHLIE FL TOE UYE KJ Y]REHDYOEET 

Flput ]hrhgeters

Vfecd Ikejjfifelt (`y) Flftfhc Juldhgelthc ]erfkd (Ts) Denrhded ]erfkd (8.5Ts) Gkgelt Ghnlftude (Gw) Ypeitrhc Hiiecerhtfkl ( Yh(8.5Ts) )

=.8== =.8= s se eiklds =.85 seiklds ?.= =.9 n

Bhsed kl pseudksthtfi h 8D1 Ts74O/Zs 2D1 Ts72.:

Flput toe Ypeitrhc Hiiece bhse kj toe scfdfln ghss

Hddftfklhc Flput ]hrhgeters

toere fs lk ghterfhc hbkv

]rkbhbfcfty kj Exieedhlie #8 (]8) ]rkbhbfcfty kj Exieedhlie #2 (]2)

?4 % 5= %

]rkbhbfcfty kj Exieedhlie #9 (]9) Dfspchiegelt Toresokcd (d[toresokcd)

8: % 8i ig g

Fltergedfhte Ihciuchted ]hrhgeters

Lkl-Qerk Yefsgfi Dfspchiegelt Est (D) Ythldhrd Devfhtfkl kj Lkl-Qerk Yefsgfi D

2.5: i g =.>9

eq. (4) kr (5)

=. =.69?=:292

Resucts

]rkbhbfcfty kj Lencfnfbce Dfspc. (](D7=)) D8 D2 D9 ](D

  ig ig ig  

eq. (2) kr (9) ihci. usfln eq. (:) ihci. usfln eq. (:) ihci. usfln eq. (:) eq. (:)

Lktes 8. Zhcues ofnocfnoted fl bcue hre flput phrhgeters, hld resucts hre preselted fl toe thbce wfto toe yecckw oehdfln. 2. ]rkbhbfcfty kj Exieedhlie fs toe desfred prkbhbfcfty kj exieedfln h phrtfiuchr dfspchiegelt vhcue. 9. Dfspchiegelts D8, D2, hld D9 ikrrespkld tk ]8, ]2, hld ]9, respeitfvecy.   (e.n., toe prk prkbhbfcfty bhbfcfty kj exieedfln dfspchiegelt D8 fs ]8) 4. Toe 8:%, 5=%, hld ?4% perieltfce dfspchiegelt vhcues ht seceited `y vhcues hre sokwl tk toe rfnot. 5. Ihciuchted sefsgfi dfspchiegelts hre due tk devfhtkrfi dejkrghtfkl klcy (hdd fl vkcugetrfihccy flduied gkvegelt). :. `y ghy rhlne betweel =.=8 hld =.?, Ts betweel = hld 2 s, Yh betweel =.==2 hld 4.5 n, G betweel 5.5 hld 6 >. ^oel Ts fs ickse tk =.== s hld toe scfdfln bcki` fs hssuged tk be rfnfd, Ts ihl be set tk =.== s hld Yh(8.5Ts) ihl be set tk ]NH. ?. ^oel h vhcue jkr D fs lkt ihciuchted, D fs 3 =.5ig 6. `y sokucd be estfghted wfto h sckpe sthbfcfty prknrhg0 toe sfgpcfjfed equhtfkls sokwl beckw prkvfde hpprkxfghte vhcues. 8=. Exhgpces kj okw Ts fs estfghted hre sokwl beckw. 88. Zs 7 wefnoted hvn. soehr whve veckifty jkr toe scfdfln ghss, e.n., jkr 2 chyers, Zs 7 P(o8)(Zs8) + (o2)(Zs2)W/(o8 + o2)

 

Jfnures jrkg Brhy, A.D. (2==>) –Iohpter 841 Yfgpcfjfed Yefsgfi Yckpe Dfspchiegelt ]rkiedures,‗ Ehrtoquh`e Nekteiolfihc Elnfleerfln, 4to Flter. Iklj. kl Ehrtoquh`e Nekteiolfihc Elnfleerfln Flvfted Ceitures, fl Nekteiolfihc, Nekcknfihc, hld Ehrtoquh`e Elnfleerfln Yerfes, Zkc. :, ]ftfch`fs, @yrfhzfs D., Ed., Yprflner, Zkc. :, pp. 92>-959.

 

 

E, 2=8?, 844(9)1 =4=8>824, DKF1 8=.8=:8/(HYIE)NT.8649-5:=:.===8?99 8=.8=:8/(HYIE)NT.8649-5:=:.===8?99

Depeldelie kl `y  

hcysfs O/Zs

`y

](D7"=")

D (ig)

Dgedfhl (ig)

D-?4% (ig)

=.== =.=8 =.== =.2: =.:5

92.9 6.? 5.9 2.: 8.=

92.9 6.> 5.9 8.? 38

::.? 2=.8 88.= 4.5 8.8

=.2

=.?>

=.5

38

38

=.9 =.4

=.69 8.==

=.8 =.8

38 38

38 38

=.=2= =.=5 =.=> htfkl ht toe   =.8 ssugfln   =.85

 

     

ft.

 

 

   )   g   i    (    t   l   e   g   e   i 8===   h    c   p   s    f    D   l   h    f    d   e    G 8==

8=

 

.

 

8

Ge ?4 8:

 

. = .= =

= .= 5

= .8 =

= .8 5

= .2 =

 Vfecd Ikejjfi felt

= .2 5

= .9 =

=

 

D-8:% (ig)

85.: 4.: 2.: 38 38 38 38 38

fhl  ]erieltfce  ]erieltfce

 

. 95

= .4 =

 

]s ]seu eudk dkst stht htfi fi Ye Yefs fsgf gfi iI Ike kejj jjfi fife felt lt Bh Bhse sed d kl toe toe B Brh rhy, y, Gh Ghie iedk dk,, h hld ld Tr Trhv hvhs hshr hrku ku Yefs Yefsgf gfi i Yck Yckpe pe Dfs Dfs

by Aklhtohl D. Brhy, Akrne Ghiedk, hld Tohcefh Trhvhshrku Yfgpcfjf Yfgp cfjfed ed ]rki ]rkiedure edure jk jkrr Est Estfghtf fghtfln ln Yefsgfi Yefsgfi Y Yckpe ckpe Dfspch Dfspchiegelt iegelts s jkr Yubduitf Yubduitfkl kl Qkle Ehrtoq Ehrtoquh`es, uh`es, H HY Y Flput ]hrhgeters

Dh (ig) Ts (s)

2= Hcckwhbc hbce Yefsgfi Dfspchiegelt elt Toresokcd =.99 Flftfhc Juldh ldhgelth lthc ]erfkd kj Ycfde Ghss

8.5Ts (s) Yh Yh(8 (8.5 .5Ts Ts)) (n) (n) Gw e

=.5= Denr enrhded ded ]erfkd kj Ycfde Ghss =.4> =.4> Ypei Ypeitr trhc hc Hi Hiie iece cerh rhtf tfkl kl ht 8.5T 8.5Ts s (5% (5% dhgpf dhgpfln ln)) ht to toe e bh bhse se kj to toe e sc scfd fdfl fln n ghss ghss h 6 Gkgelt Ghnlftude = Lkrg krghccy dfstrfbuted rhldkg dkg vhrfhbc hbce wfto zerk erk gehl hld sthldhrd hrd devfht htffkl k Yet tk =.= jkr Dh ht toe gedfhl (5=%) estfghte cevec, hld set tk =.>9 jkr Dh ht

Fltergedfhte ]hrhgeters

x8 7 h7

=.>?= i ik klsthlt 9.>56 Eq. ?b

x2 7 b7

:.458 vhcue fl brhi`ets fl Eq. ?i 4.=:? Eq. ?i

x9 7

-2.294 vhcue fl brhi`ets fl Eq. ?h

]seudksthtfi ` vhcue ` 7

=.8=>  

skcutfkl kj Eq. 2h

^fto tofs ` vhcue, fj toe pseudksthtfi JY 824, DKF1 8=.8=:8/(HYIE)NT.8649-5:=:.===8?99

ssugfln toere fs lk ghterfhc hbkve ft j =.>9 toe 8:% prkbhbfcfty kj exieedhlie cevec

e 5=% kr 8:% prkbhbfcfty kj exieedhlie cevec (f.e., e 7 = kr =.>9, respeitfvecy). respe itfvecy).

 

Gkdec jkr ]rkbhbfcfty kj Qerk

]("=")7 8-e(h+bcl`y+icl(`y) (h+bcl`y+icl(`y)\2+dTscl`y+eTs \2+dTscl`y+eTs +lYH85) Jkr Ts 37 =.> s h b i d e j 

Jkr Ts < =.> s

     

-2.:4= -9.2== -=.8>=

 

h

 

b

 

i

     

-=.46= 2.=64 2.6=?

   

d e

 

j 

     

-9.598 -4.>?9 -=.942

     

-=.9== -=.:>2 2.:5?

Gkdec jkr Dfspchiegelt Estfghte

cl(D)7h+bcl`y + icl`y2 + dcl`y*clYH85 + e*cl(YH85) + j*Pcl(YH85)W\2 + n*Ts + o*(G)+f*Ts\2

Ikejjfife Ikejjf ifelts lts Zhc Zhcues ues h   -:.?6: b   -9.959 i   -=.96= d   =.59? e j  n o

       

f e

 

9.=:= -=.225 9.=?8 =.55= -=.?=9 =.>9=