Ship
@!l!:s:F{n
e#;
'iD\ ii Folloqrsedasddire
s$
StabilityofShips
G.$d ft bnoyinryldiig or rlt csrs or bLoy.nc) Bbc
G lil
Ih. ro$r oi orlnuorgm!i!
rh! cflter or bnoyoly B s rhc seol
nll| rorc..tr Nir mov.lo l Posfon B
ldtrd or,!i'iy
rllldnfl W. aod!d YMi.xUI r on
ldiig up\nt\ 'busl, B, Nlrcnft \
inryinerlE d sDhlo!
,5rlr lrnzonkldinun!! btr**r rhcft
w b) rl)cnghthg LlkrGZ. \$L$
, ' , '
eEmdeendJ'dhs[Mmhlhfuho8h'
",!\
Br ..rir'F\'rrn,JJr,.
d i,.ir r! rQpo,.i M rEr r, I't plr M
rser rtu ndlcds M lod rhccsk. of g.aliryGj
t'q\'
,
h. roh., f F,roiorG..
fi.. r.r i! n!e0.
..d,r.oGM '0 F.. r',,'0' 1' . 'dGM p}'.rc!.hrvvl"
r.,1
i. heiehris kmw0.rhe g|liig mommr.ri b! foNd by mdiDtyingrh. rishrif! hB Gz by
Bighlinm
g o m e nEl W . G Z= W . G M . s l . ,
Fig.4l
rearE
nlFnq
d rc'reMc eish,
of buoystrcyBM is iidjcdcd hy rhc for-
BIM: K?
E@
$".".
n,,,,
".,d",,!,,
Tli! Loieirudil iiulldq
Mr of a iin b
B l,N movcdronvxil rd B,
nlhingrnonqrw.Gz s prodrsdiwlrr w is
rh|di\rrkcor ofrhc\hDx Gz (rtE kuh
ndr.fui.h.rskGMr
i\ sLlLnlcry mushty
m
'.t:
li
t
',,'.,..,.''.",,."',......',...'...
d, o.EorM3h,p3..ftrorrfviyGnfteddDnortr.
nrr'! dsitY.di(djoi.
c{ rLctqh!rz i'trt
rbr
x- y. andzjc,
posirilcb nir boirr 5jds
lL!Zn,.poe \n!i
Lm,ng
lr
l:
,t.,.
F i ! . J l \ , J ' , u ,
Eil@@@@
1)
- G
I
$,rH".d,",,"$",",
@
BasicElem€nts
of RcgularWrves
rie+{
(r) ind FiFj ,l (b) dcpid hlmdni
wloi
l. frcm ,vo ditreEd peBp€rives
. Fic.l l {r) sio*s rhl wlvc prcrik (wirh qav. rnprin'de, a, 8id
vM reu$. r ) ,s a iuncrion
ordisrai
. Fis.l-l (b) shNs rinc ruryd or rhcu\r 0mfik (virh *rv. ampli,
tude,a. ind Mve ffqlem, c) dbltflar r oncrocatron.
r A $rvcshichcnDotnrisrh€
sen.nd towsrsu {.poi
ndcturgh
om rhc $ill wdi lcd ro rhc fe$j o. ro rh€ hl'gh)
r H I Wryc hoichr(F]=2ajvEe anplrtodc)
. i
wavercnerhlhor;odaldisrncebeNeninyr*osuNc$i[wlcrcnt
. Tw: trhve p.nod (rhesm. dkr$.c ^ {avd.ngrh rroig rhe!'ne dis) G.c rig.{{-b)
e vdociry (r /rw; vclociry d vhich rhewve prcflc
Uiddgo* , ..n|lcb ]60ie3Ee .yd. ol phAe .hsg.)
. k : w!*rumbu(k=rrl,\
Gid.h))
. o crrtu|fi \qvc rEqulncy (o=? z/T! (nd./s))
. d vave !c!pns! (d =H/,I, nho o
q$cbcrkatlhenppslimilof H/,\=!|0 )
For pias velociq, cv, ir is in1libnad 1
rheuverom movs *irh rhis ph,{ ycl€iq,.
rihe wvdom 'novB ii rbc posniv. x diEdronj rhe*st
p6ilc (rhc shrp. ol rheldd
(=a.cos(kr-@t)
suftr)
an
qavs (roucr d(rwin
gru!tuy {!Er).
s mpk
waw wtoctty(c,) a, = *51-1 ftn^l
ellaneousitemsrehtcd to wav€e
.d!ron!of ,h. ur. F(tdr.,R(Eff
F ."
p wrocily-
6-
5-4
"t.t\,
-3
cs=+cw
-2
E@
snp
"-d,,"c,"$.-
2)sillifi cadwaveheigh(rlLt)
sigtrinsd *Nc bcidl js dc[neds thc aEnge
h.ighrof rhehishe$oE rhid (Lj) ofsll*avc5rc.
ualy esiDardi Mve h.ighr signilis wlE rreisir
ish.dtrageren|ns$ndrniouchro$
r) N3tud nniigei'.hiis pcidls sd o@ud{wE
pqiod
I
Fig,4-6 sar-u,-.h-!h
e|n'gs,Thesfucisrcqchly6tr.
o88
VGM
T P= 0 . 5 [
. Eicound wd. tsdodtrE).As shownh Fis.{-7.a shrpmakingvs (m's) i
ho{vlEsof rruep€ood,Tv(=0
3rtr).b'ah.,r,ridph6s{loclry.c\(= I 25fi)
ship sp*d pc,pcidicurf rooc waE l
Lodis cxpnscd by rhcfdlrowing.qudton:
+
f rtfnin8 b rh! rprib
rcrirtomtlp.
Fig,,l-7
r-.,-,,.F
r r,,
it rt!
l2
,i,,t
E@
sh,pH-d'r"s,"$.*
Itangerous
Encounter
withHighWaveGroup
cB=rD cw (sE Fslllt
croupvdejty n nqny.qual ro ri! $*d 6hp.n!nt
ol a shiph rhevind dierioi, dai3.6us d.ouitr
*id hich *r
sou! @q 'hi. b i pl6on6d
wh.Eby'i.shiphrdct.Jby,sn.Bsioo|hjgh
u6. As m4riomd aboE,d'. mainum !m hei$r
-,*k7;
$Enl dagemN phenmem,kigr'bing Ih. dsk or
Fi3,4-eshowsrh?d?finitionolcncounr.rrnsk
Fis.4-c
Dcinioid(rENbr4r!
I
r hisnvavegroup;ir x
s.li d'cfrs!(, .&n E io ot shiplped v (knob)rouvr psiod TG), vn, is sho*n as r
$ffiim
orhish*,B. core
ft.y win bins rh. shiprob.M,
*hi.h pob rdnw.d. sbbiliry
fddopingd'.&ig.ix-m'
b'trshipsp..dffn(6bi|ily
Fig/-r0
Di4mfud€d4!q34ftd
cnonoflnrafl Slrhilir! cau\ed bl Ridingon$,,eCr6r al Midship
-r--
ir Loj'g*('idr rd. ^ srrnr r a nd( orrcdrcd ni
:
$,pH,.r,.a," $..",
@
Redudion or shbil'ty tnds ro be norc
i'h i la'!. flar (oib in
(bnkds
ad
nshi,g
{ shfs
rsdt
md k$ siFincad i tuu-hun ships
andburk canieB).
laBqvave|olih.i'.hry(*i€hei
.rpsiziig docrd rdtrccd lrbiliry. ship{sd shouldbc e\lu(d or cou6e .red.o' bofi, in ordq ro
pcnoJ.whm cr{urii! d. aboveprcduE' dE shoutdbe
s bsn ca rhd fuy !l&e rhed(k u.d( urr or 6u$ sF
Synchronous
RouingMotion
h.n rrE n,tunr muiig pedod(rr) .dincidd vnh de en$!n
d lwc Fnod (TL)(riF1{).
o
a
o
\lft4
fufunrc|3'.dd.bd.nd€hlorudby$aid*a€'
tu iimb or$ip! 'onmituid. wirhrrrswaEcd (orrqh).
n.krm*ne
4hreno6 Enheil{cddngdan!.b6 h.aryreriis.)
tl!
:
"," . ,. _._:i":r,:-
ns toigs(i(
rhc$LPbcom( cndei )
sdiis rd sFchroios ro mtr b. obrriid ustngrhe
co.,= r-TR
125rT
l-TR. 1.251[
HowloavoldsynchronoG
rolllng
ch.ns..F€d{vF)O- O
ch.ns.odE (') o - o
(Fts.
sftdE
mm *Mi drqr4
dm.)
,"",,-",,.,.,Lffi."
\%,
r a
-r--
sh,pH*d,,,gr,,$,,.,
@
rEr\sc
nabirity
isrhcpmdd ohhcsiipt leishr(w) ind rishrins
kE. (cz) (cz-cM {ii 3 )i i.e
igL,lc.dclkcledc4eiicludfad
s pir.h.d ftd doryn.cM lncEds duerorh. inreae m eFer
.nr. on theorherhind.
M deu*s dE b a dccN i effediv. wder phne widrtl
ilhelbendmc'bcsnclishlingmom
I
v.9|phHbdMd'3ighhdnqnrrEd
ptriod(rE)n rppmr
=
ptriodof'hc ship(rr) (i . rr t/2 rR) rhe aren for 'hisN
.
.' '
,, ." ..,,.'..""".,
"'
*"..";,
..".
:
E
,!.
l
a'd"
Fig,4l6 P.,1 ,
o L O b O ) b r r n dt r t r , .
. ,]lc .nd ofrol (o) ad rien incrcrs4(o b o) b siverhefrm slr dh nomotum.
* throushuprish (6), sd mi sussive ouNd
gEdfflfunddFoiousone'Thntype
uve pe od b(oncs lhon rn lo oNitr8 md quding sb, rhis can o(u panicdrly *hci
i'iil ndrenhc heigr h sm,ll sd 'h. ilruEl rcll penod k v.iy ldng (L'
, r shlpvirh rn qrnsive b.w t tre ard r lotrgifld !.n i. su$prihle ro panmeri. rclliis
lltrighlonbim|ionofw*.h.igh''Mrep.nod.miun|o||ingpenodmdshipsF.d
udq wav. Fddd (rE). ship sp.ed shoutdbe tuinbined
iRbbi|ity'trd3f'\ou'dbrLrf''
e iear headss whei .ofuin{
shlpsad Pccs vm $bjcr b sp4d Edudioi. arordi0lty
ior oily in ro[Niis sd qDdelrs sA. @r a{, rc
E@
*'r""anur"'t"-
Sud-ridiDgmd Bmaching.to
rllietr a shiph snured on rhe
dirioN, me orbir,l v.lociry ot
fiC.4J7
r!\
'adai
q.
di"e. ri !trch I siturion (i.e
shiphEnins dM.srdF), No
is sisGd b..m.on,o ,n. Jd!0n.,ts
Flg.4l8 tu !,oo h-hru .,
",;,,",;"..
' .
- hNn
as brcachiigrd. $d rheship
n chrngeof hcadin!
nbchmd*idl,snxr|mg|e.9y]0.r0d!!.bl|]erorc
'rdnd]snNlyovenikeiby'nc{av
o| irl.ndi4
is oNideicd b be L'31,.
{hde
L
is
ship
L.ngrh.lr shouldbs norcd
).
d , . r cR : m 4 n r r c m ( t . 4 r t s r i r h c o w
l sped *hm I rars. sulgefay ortr rhis * 6
shiPeiss{fr)
.9.81|ngh|gh.psd!|*..
ri{,.1.t9
v shF$sdfimD r: wsFdod (ec)
Fi8 !t_20
S l r i p\ l o t i o Di n H c r d r n d B o $ S ( r t
-l
< shipLensrh
wavelenqlh
Fi!.1.:\
> shipLengrh
wrverensrh
= shipLength
wruerensrh
I r.l :5
E@sb+Hmd.!h$$N
9
*
shipplnsor warn cstro(n b.€u* rrre'ch
Fig,4-26 Frd-r q,d(r&.sr,r$d.,
-"
Propell.rRlcing iDd ReductionofShip Spe€d
i.ausinsn b ra( Thisgrcdrid rbru
ld loadrtsul\ in a suddennsese in propdlerreoturions,g.i.mins irros vihnrion Knosr B
bB, .n d.Jn shoutdh.
.l
dtoz o2lw/4
"l
ItD 101lTWo)
Fig'l-27
a
Fis.l1r
rh! ou
qrsim ir lLbjlar b qc$N
E@
s h , pr ' * d h s h $ ^ ^
ShippingWaterForwdd
The npacr rorc of $ipping N{cr has No etrebr dird dynamic pEstrE cEded by rh. shirFd
B.
shippins *rei
Asdncd m ao adut shir ot
(.oftspoidir3
ro B€.ufon $at. r). Th! c!
sidsshipspeeds.w$cmsubmglsmd
nlioso|Mrleng'nbshipl.nglh'
ilcEasswhenshielcne'rlkdru|bN[t
srnppiig *fur
Fig.,i.:0
fr$.i.,
nay 6. deErsd
i
s.h wiln ib ovn anplltude,tensrhor rftqu.ncyfd dirce
Th. iitbdion olrhe$ ompon.nc on lc.d b itresuhnq
Nedles ro sn il k impoilnr ro inw
tl
rig.4-30
by rcdlcitrs
;!
o
:
."",Lt=
F',;';
Fis..l.ll
n!qu.rrofdnl,pingtrj.([lhu$jn
tr.hip'$j)6..n.uG!F$abirrl
Trbk4 I
r".,-,, i,r.....ir
rir* crri.rr rLr.sr.tu\Pondhs
ro rhc B{ufon sdd 1ra$ hcishr) irc sho{r
3
:""""
,"
ti
I2
@i,,,,",.,,,,,,\,...
rr !r' b. qn r trL( i! bi Li'Dcsrs
g 5
i, Trhhr r rr n ns\!Drr udN,ion
Slamning
.60flom 3rammrns o!q$ $hLD.duL
!,e
rins wavelmp.cl
-6-fis.l:1,{