MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C91F45.18622720" Questo documento č una pagina Web in file unico, nota anche come archivio Web. La visualizzazione di questo messaggio indica che il browser o l'editor in uso non supporta gli archivi Web. Scaricare un browser che supporti gli archivi Web, come Microsoft Internet Explorer. ------=_NextPart_01C91F45.18622720 Content-Location: file:///C:/55825AEF/2_Modelli_Guasto.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="windows-1252" Presentazione di PowerPoint

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Fare clic per modificare lo stile= del titolo dello schema
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‹N›
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1
2.1 – Tempo al guasto
2.2 – Funzione di affidabilitŕ
2.3 – Rateo di guasto
2.4 – Tempo medio al guasto
2.5 – Processo di Poisson
2.6 – La distribuzione esponenziale
2.7 – La distribuzione di Weibull
2 – Modelli di guasto di un elemento
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2
La variabile di s= tato ed il tempo di funzionamento di una unitŕ
2.1 Tempo al guasto
Modelli di guasto di un elemento= 3;
 
Introd= uzione terminologia mediante una realizzazione (anologia con PROVA ed EVENTO)
T č il= tempo al guasto di un elemento il cui valore č a priori non prevedibile (varabile casuale)
Variab= ile di stato X(t)=3D 1 se l’unitŕ č funzionante al tempo t, č X(t)=3D 0 altrimenti.
 X(t) č l’indicatore temporale = degli stati sano/guasto
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Content-Location: file:///C:/55825AEF/2_Modelli_Guasto_file/slide0003.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="windows-1252" Presentazione di PowerPoint
3




Probabilitŕ cumulativa
di guasto (detta anche
funzione di distribuzione o di ripartizione)
Funzione di densitŕ di= probabilitŕ
Modelli di guasto di un elemento= 3;
 Tempo al guasto
Descrizione probabilistica del tempo al guasto T
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4
Se Dt č piccolo:
Tempo al guasto
Illustrazione della Funzione di distribuzione…
Modelli di guasto di un elem= ento
… e della Funzione di densitŕ di probabilitŕ
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5
Modelli di guasto di un elem= ento
     2.2 - Funzione di affidabilitŕ
Č detta anche
funzione di
sopravvivenza<= /div>
Funzione di affidabilitŕ :
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Modelli di guasto di un elem= ento
       2.3 – Rateo di guasto
•Il significato di F(t+Dt)-F(t)  č …… 
•                          =    R(t )
•           …… P(t<T<t= +Dt | T>t)  
•Indico con z(t) il limite per Dt -> 0 di
•P(t<T<t +Dt | T>t) =3D F(t+Dt)-F(t)    1   =3D f(t)
•             Dt                      Dt         R(t)   R(t)
•   allora  P(t<T<t +Dt | T>t) =3D z(t) Dt= 3;
• La funzione z(t) =3D<= /span> f(t)  č chiamata”rateo = di guasto”
•                          =     R(t)
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7
Si ottengono le impor= tanti relazioni per
l’ affidabilitŕ: =
R(t) =3D e -ň0t z(u) du&= #13;
e per la funzione di densitŕ di probabilitŕ:=    
 
f(t) =3D z(t) e -ň0tz(u) du&= #13;
Demo su note
Modelli di guasto di un elemento
                           Rateo di guas= to
f(t) = =3D d F(t) / dt =3D d ( 1 - R(t) ) / dt =3D - R’ (t)
quindi=
z(t) = =3D -R’(t)/ R(t) =3D d ln R(t) / dt
poiché= R(0) =3D 1
 ň0t z(u) = du =3D - ln R(t)
Allora=
R(t) = =3D e -ň0t z(u) du
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8
Modelli di guasto di un elem= ento
                           Rateo di guas= to
            
F(t)       ----     ň0tf(u) du       1-R(t)       1- e -ň0tz(u) du
 f(t)  d F(t)/dt   -------         - dR(t)/dt   z(t) e -ň0tz(u) du
R(t)      1-F(t)    ňtoof(u) du       ----             e -ň0tz(u) du
z(t)   dF(t)/dt   =     f(t)         <= span style=3D'font-family:"Comic Sans MS"'>-d ln R(t)        -----
                 1-F(t)     ň0tf(u) du          dt
Relazioni tra F(t), f(t), R(t) e z(t)
F(t)      f(t)        R(t)          z(t)
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9
Modelli di guasto di un elem= ento
                           Rateo di guasto      
Immagini= amo un esperimento: si pongono    in funzione n unitŕ identiche a t =3D 0
Suddivisione di t in Dt uguali
n(i) n° unitŕ che si guastano nel Dt i°
m(i) unitŕ in funzione inizio al Dt  i°
<= /div>
Demo su note
Visualizzazione statistica del rateo di guasto;
Gli intervalli Dt sono numerati 1,2,..,i,..
Le unitŕ guaste non sono sostituite
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10
Modelli di guasto di un elem= ento
                           Rateo di guas= to
•Corrispondenza tra funzioni statistiche e teoriche
•        =      m(i)/n                         R(t)
•        =    [n(i) / Dt] /n f(t)
•       Possiamo stimare il rateo di guas= to z(i):
•                        n(i)        <= span style=3D'font-family:"Comic Sans MS";mso-ascii-font-family:"Comic Sans MS"; mso-bidi-font-family:"Times New Roman";font-size:75%;color:#333333;mso-col= or-index: 3;position:relative;top:.37em;mso-text-raise:-25%'>=3D   n(i) =      = .       
•                 n Dt  m(i)/n       m(i) Dt 
•          che corrisponde a  z(t)=3Df(t)/R(t)
•              Perciň z(i) Dt=3D   n(i) .
•                                       m= (i)
•
•
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11
Modelli di guasto di un elemento
                           Rateo di guas= to
•   
•    z(t)         Curva empirica a “vasca da bagn= o”
i
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12
Modelli di guasto di un elemento
                           Rateo di guas= to
•<= span style=3D'font-family:"Comic Sans MS"'>Curva a vasca da bagno (se n molto grande)
•<= span style=3D'font-family:"Comic Sans MS";color:#FC1E68'>z(t)
    Difetti        Vita utile                Usura
t
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13
=
2.4 – Tempo medio al guasto=
Modelli di guasto di un elemento

(Introdotto nella Sez. 1 come MTTF =3D= Mean Time To Failure)
MTTF =3D E(T) =3D ň= 0oo<= /span>t f(t) dt  =3D ň0oo<= /span>R(t) dt =
Se il tempo per la riparazione č piccolo
MTTF  rappresenta il valor medio del
tempo fra successivi guasti
Equivalente MTBF=3DMean Time Between Failures
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2.5 – Processo di Pois= son <= /span>
Modelli di guasto di un elementoDescrive la frequenza degli eventi rari =
Es. incidenti aerei di atterrag= gio in un anno per una data compagnia aerea.      = Se l č in numero medio di eventi per ora, t č il tempo, la frequenza N(t) ha la probabilitŕ:                                                = Pr [N(t)=3Dn] =3D  (lt)n e-l= t. ….             
                                       n= !        
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Modelli di guasto di un elemento
Processo di Poisson
…ed il valore atteso č:
= E[N(t)=3Dn] =3D lt
Il Processo di Poisso= n č importante
in affidabilitŕ: i gu= asti sono eventi rari.
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Modelli di guasto di un elemento         Processo di Poisson
Pr [N(t)=3Dn] =3D  (lt)n e-l= t. (1)
                                    n!        
Per N(t)=3D0 la proba= bilitŕ č e-lt
Se T indica il tempo = del primo evento, N(t)=3D0 corrisponde a T>t e quindi e-lt  č la P(T > t) = Perciň T puň rappresentare la v= .c. del tempo al guasto.
Demo su note
Il processo di Poisson puň rappresntare il caso di componente inzialmente sa= no che dopo un tempo T1 si guasta e viene immediatamente sostituito con un componente di identiche caratteristiche che a sua volta si guasta dopo un intervallo temporale T2 ecc
Quindi N(t)=3Dn equivale a (T1+T2+….+Tn) <=3D t
Caso N(t)=3D0  =3D> Pr(T>t)=3D e= xp(- lt= )
  allora 1-exp(- lt) =3D P(T<t= ) č la funzione di ripartizione di t
d[1-exp(- lt= )] / dt =3D l = exp(- lt= ) č la funzione di densitŕ di t
Questo introduce la distribuzione esponenziale – molto usata in affidabilitŕ – c= he č discussa nelle prossime slides
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2.6 – La distribuzione esponenziale
Modelli di guasto di un componente
Nella distribuzione esponenziale
f(t) =3D l e-lt (per t > 0 e l > 0)
l = č il parametro della distribuzi= one [h-1]
F(t) =3D Pr(T<t) =3D 1 - e-lt  č la probabilitŕ di guasto = ;
mentre R(t)= =3D Pr(T>t) =3D e-lt  č l’affidabilitŕ
MTTF =3D ň0ooR(t) dt =3D  ň<= span style=3D'font-family:"Comic Sans MS";font-size:67%;color:#FC1E68;position:= relative; top:.37em;mso-text-raise:-25%'>0oo = e-lt dt =3D 1/l
e il rateo di guasto č:
z(t) =3D f(t) / R(t) =3D l
Demo su note
Modelli probabilistici per il tempo di guasto e loro plausibilitŕ per la descrizi= one di casi reali
1 – a rateo di guasto z(u) costante nel tempo – distribuzione esponenziale
 R(t) =3D e-ň<= /b>0tz(u) du =3D e-lt
 č usato per un’ampia famiglia di componenti
2 - a rateo di guasto z(u) variabile nel tempo: IFR o DFR;
La distribuzione esponenziale rappresenta la distribuzione di confine IFR - = DFR
MTTF=3DMean Time To Failure
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Modelli di guasto di un componente
 La distribuzione esponenziale = 3;
•l (costante) corrisponde alla vita utile del = componente (curva a vasca da bag= no) ed
•esprime un concetto comune se, ad es.            = l =3D 4 guasti/anno, allora MTTF =3D Ľ anni.
•Questa č la distribuzione piů popolare in = affidabilitŕ <= /div>
• Poiché generamente lt << 1 = allora F(t) č bene approssimata da F(t) =3D lt&#= 13;
•<= span style=3D'font-family:Arial;font-size:88%;mso-special-format:lastCR;display= :none'>
Se lt = =3D0.001 F(t)=3D1-exp(-0.001)=3D0.000995 che č vicino a 0.001
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Modelli di guasto di un componente
La distribuzione esponenziale
L<= /span>
La probabilitŕ che un componente si guasti al tempo t č =3D f(t) dt =3D l e-lt dt Puň essere interpretata come pr= odotto delle probabilitŕ (T>=3Dt) x (T=3Dt | T>=3Dt)
Le prima č: e-lt  mentre la second= a č l dt
Inoltre:  P(T > t + x | T > t) =3D e-lx = 3;
Generazione casuale di tempi al guasto distribuiti es= ponenzialmente
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 Modelli di guasto di un componente

 2.7 – La distribuzione di Weibull
Il rateo di guasto non č costante durante la  vita dei componenti meccanici (usura) = ;La distribuzione di W= eibull consente la modellazione del rateo di guasto che varia nel tempo
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 Modelli di guasto di un componente

 2.7 – La distribuzione di Weibull
Funzione di distribuzione del tempo al guasto T  di un’unitŕ:                                              <= /span>= F(t) =3D P ( T< t)  =3D   1 – exp – ( l t )  a                 t > 0 ; a >  0 ; l > 0<= /span>
R( t ) =3D  P (= T > t)  =3D exp – ( l t )  a 
z (t) =3D F ( t ) /  <= /span>R ( t ) =3D ( = a l ) ( l t )  a – 1
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casi particolari
 a =3D 1                z (t)  =3D l (cost.)
a > 1           =      z (t)  =3D l ( t )  crescente
a =3D2             =      z (t)  =3D a l 2 t
(0 < a <1)            z (t)  =3D l ( t )  decresce= nte .
Modelli di guasto di un componente

 2.7 – La distribuzion= e di Weibull
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 Modelli di guasto di un componente
 .. La distribuzione lognormale
Il tempo al guasto T ha una distribuzione lognormale se Y =3D ln T č distribui= to normalmente (gaussiana).     =
f(t) =3D 1<= span style=3D'font-family:"Comic Sans MS";font-size:150%'> / [ ( 2 p )1/2 s <= /span>t ] exp–( ln t – m )2 s2 
La distribuzione lognormale viene comunemente usata come u= na distribuzione per il tempo di riparazione
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Modelli di guasto di un componente
ESERCIT= AZIONI ED ESEMPI APPLICATIVI
EXCEL
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‹intestazione›
‹data/ora›
Fare clic per modificare gli stili del testo dello schema= 3;
Secondo livello
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‹pič di pagina›
‹N›
Introduzione terminologia mediante una realizzazione (anologia con PROVA ed EVENTO) T č il tempo al guasto di un elemento il cui valore č a priori non prevedibile (varabile casuale) Variabile di stato X(t)=3D 1 se l’uni= tŕ č funzionante al tempo t, č X(t)=3D 0 altrimenti.
 X(t) č l’indicatore temporale = degli stati sano/guasto
Descrizione probabilistica del te= mpo al guasto T
f(t) =3D d F(t) / dt =3D d ( 1 - R(= t) ) / dt =3D - R’ (t)
quindi
z(t) =3D -R’(t)/ R(t) =3D d ln R(t)= / dt
poiché R(0) =3D 1
 <= /span>ň0t z(u) du =3D - ln R(t)
Allora
R(t) =3D e -ň0t <= /span>z(u) du
Visualizzazione statistica del rateo di guasto;
Gli intervalli Dt sono nume= rati 1,2,..,i,..
Le unitŕ guaste non sono sostituite
Equivalente MTBF=3DMean Time Betw= een Failures
Il processo di Poisson puň rappre= sntare il caso di componente inzialmente sano che dopo un tempo T1 si guasta e vi= ene immediatamente sostituito con un componente di identiche caratteristiche c= he a sua volta si guasta dopo un intervallo temporale T2 ecc
Quindi N(t)=3Dn equivale a (T1+T2+….+Tn) <=3D t
Caso N(t)=3D0  =3D> Pr(T&g= t;t)=3D exp(- lt)
  allora 1-exp(- lt) =3D P(T<t) č la funzione di ripartizione di t
d[1-exp(- lt)] / dt =3D l exp(- lt) č la funzione di densitŕ di t
Questo introduce la distribuzione esponenziale – molto usata in affidabili= tŕ – che č discussa nelle prossime slides
Modelli probabilistici per il tem= po di guasto e loro plausibilitŕ per la descrizione di casi reali
1 – a rateo di guasto z(u) costante nel tempo – distribuzione esponenziale
 R(t) =3D e-ň0tz(u) du =3D e-lt
 č usato per un’ampia famiglia di componenti
2 - a rateo di guasto z(u) variabile nel tempo: IFR o DFR;
La distribuzione esponenziale rappresenta la distribuzione di confine IFR = - DFR
MTTF=3DMean Time To Failure
Se lt =3D0.001 F(t)=3D1-exp(-0.001)=3D0.000995 che č vicino a 0.001
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application/javascript; charset="windows-1252" function LoadSld() { var sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { =09 sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); =09 if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis()=20 { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans )=09 { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply()=09 } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis()=20 { if( !IsNts() ) return false=20 SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) {=20 nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.filter !=3D ""; } function GetSldId() { return sId=3Dlocation.href.substring(location.href.la= stIndexOf('/')+1) } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } } var g_HLinkArray =3D new Array(); =20 function IMapAreaObj( areaObj, coords ) { this.areaObj =3D areaObj; this.coords =3D coords; } function InitHLinkArray() { var appVer =3D navigator.appVersion; var msie =3D appVer.indexOf ( "MSIE " ) var ver =3D 0; if ( msie >=3D 0 ) ver =3D parseInt ( appVer.substring( msie+5 ) ); linkNum =3D 0; for (i=3D0; i 4 ) ) g_HLinkArray[linkNum++] =3D new IMapAreaObj( areaObj, ParseCoords( ar= eaObj.coords ) ); } } function ScaleHyperlinks( factor ) { =20 for ( ii=3D0; ii< g_HLinkArray.length; ii++) { coordsStr=3D""; imaObj =3D g_HLinkArray[ii]; for ( jj=3D0; jj < imaObj.coords.length-1; jj++ ) coordsStr +=3D (imaObj.coords[jj]*factor) + ","; coordsStr +=3D (imaObj.coords[jj]*factor); imaObj.areaObj.coords =3D coordsStr; } } function ParseCoords( coordsStr ) { var numArray =3D new Array(); var i =3D curPos =3D commaPos =3D 0; while ( ( commaPos =3D coordsStr.indexOf(",", curPos) ) !=3D -1 ) {=20 numArray[i++] =3D parseInt( coordsStr.substr( curPos, commaPos ) ); curPos =3D commaPos + 1; } numArray[i] =3D parseInt( coordsStr.substr( curPos ) ); return numArray; } function PlaySound( href, loop ){ href=3D unescape(href); if( window.event ) window.event.cancelBubble =3D true; pptSound.src =3D href; pptSound.loop =3D loop ? -1 : 0; } function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { =09 if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"Fine della presentazione. Fare clic per uscire.", SCREE= N_MODE=3D"Frames", gIsEndShow=3D0, NUM_VIS_SLDS=3D24, SCRIPT_HREF=3D"script= .js", FULLSCR_HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var gMainDoc=3Dnew Array(new hrefList("slide0042.htm",1,-1,1),new hrefList(= "slide0004.htm",1,-1,1),new hrefList("slide0003.htm",1,-1,1),new hrefList("= slide0005.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("s= lide0043.htm",1,-1,1),new hrefList("slide0062.htm",1,-1,1),new hrefList("sl= ide0008.htm",1,-1,1),new hrefList("slide0050.htm",1,-1,1),new hrefList("sli= de0052.htm",1,-1,1),new hrefList("slide0051.htm",1,-1,1),new hrefList("slid= e0053.htm",1,-1,1),new hrefList("slide0025.htm",1,-1,1),new hrefList("slide= 0045.htm",1,-1,1),new hrefList("slide0044.htm",1,-1,1),new hrefList("slide0= 046.htm",1,-1,1),new hrefList("slide0065.htm",1,-1,1),new hrefList("slide00= 54.htm",1,-1,1),new hrefList("slide0048.htm",1,-1,1),new hrefList("slide001= 0.htm",1,-1,1),new hrefList("slide0055.htm",1,-1,1),new hrefList("slide0063= .htm",1,-1,1),new hrefList("slide0061.htm",1,-1,1),new hrefList("slide0049.= htm",1,-1,1)); /********************************************* Frameset functions These functions control slide navigation and state of the frameset. **********************************************/ function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) {=09 var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix();=20 function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') {=20 href=3Dnew String(document.location.href)=20 Start=3Dhref.indexOf('!')+1=20 End=3Dhref.lastIndexOf('/')+1=20 if (End < Start)=20 return href.substring(0, Start)=20 else=20 return href.substring(0, End)=20 } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ClearMedia() { // Clear any sounds playing before launching another browser window. Other= wise, // in fullscreen mode, you'll continue to hear the sound in the frames mod= e. if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() {=20 if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { =20 obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else =20 return gCurSld } function GetNumSlds() { =20 if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; =09 var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document var dir =3D doc.body.dir if( dir !=3D "rtl" ) dir =3D "ltr"; doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); /********************************************* Navigation button implementation There are 2 types of buttons: ImgBtn, TxtBtn implemented as function objects. They share a similiar interface so the event handlers can call SetActive, for example, on a button=20 object without needing to know exactly=20 what type of button it is. **********************************************/ //---------------------------------- function ImgBtn( oId,bId,w,action ) //---------------------------------- { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0=20 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { =20 obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0=20 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } =20 } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } //----------------------------------------- function TxtBtn( oId,oeId,action,chkState ) //----------------------------------------- { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { =20 this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) {=20 if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } =20 } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1=20 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etPressed() } function _BSetA_BorderImg() {=20 b =3D gBtnArr[this.mBorderId]=20 if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _BSetI_BorderImg() {=20 b =3D gBtnArr[this.mBorderId] if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN= tsPane ) gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg; gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg; gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.= ToggleNtsPane,GetNtsState ) gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To= ggleNtsPane,GetNtsState ) gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n= b_prevBorder",30,parent.GoToPrevSld ) gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n= b_nextBorder",30,parent.GoToNextSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice= ","nb_voiceBorder",18,parent.ToggleVNarration ) gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT= xt","nb_otlTxtBorder",23,parent.ToggleOtlText ) gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts" gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState /********************************************* Context menu implementation _CM() is the function that's hooked up to the oncontextmenu event. Once we're asked to show the menu, we first build it by creating DIVs on-the-fly. Then we position it=20 within the screen area so it doesn't get clipped. Creating the DIVs using createElement() means we don't have to write out any extra HTML into the slide HTML files. **********************************************/ var sNext=3D"Successivo",sPrev=3D"Precedente",sEnd=3D"Fine presentazione",s= Font=3D"Arial",sArrow=3D"Freccia",sFreeform=3D"Figura a mano libera",sRect= =3D"Rettangolo",sOval=3D"Ovale" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) =09 CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();= PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; 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 No= te
Presentaz= ione
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