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DISSERTAÇÃO_Detecção de falhas em vigas em balanço através da análise de sinais de vibração e estatísticas de ordem superior

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(30) 372845. Š 4185

(31) 75 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE o‹ cŠ 5ŒbTSOISTIMO EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ml‹ cŠ 5QPL\ILZ[OVO1QLULNKO EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE mkŠ Š 8  8 4 1 Ž845 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE m Š cŠ L\bMT\Z[O EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE m Š cŠ IPLXTYULNL\ZO EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE m‰Š cŠ \RNIXTVTIUQLZ[O EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE klŠ cŠ 6QOJTXXLYT\MOVOX3I\LIX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE k Š cŠ XMLM‘XMIJLXVT5QVTY3bWTQIOQ EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE k†Š ccŠ

(32) TSI\IZ’TX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE koŠ c“Š

(33) IXJQIYI\L\MTI\TLQVTIXJKTQ EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE tmŠ c“cŠ

(34) 8JOYOJNLXXISIJLVOQEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE tkŠ c“cŠ

(35) 8WLQLXTNTZ[OVTWLQ”YTMQOX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ttŠ c•Š 8TVTXTbQLIX QMISIJILIXEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE t Š c–Š T\TQLNIVLVTX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE t‰Š c—Š O\XMQbZ[OVTbYKIWTQWNL\OaMIYO\OTXWLZOVTWLQ”YTMQOX EEEEEEE mŠ cŠ5\THNLXXHTLQ\I\P EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ‹ Š  1 84  15

(36) 53 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE †Š cŠ ŒbIXIZ[OVT3I\LIX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE †Š cŠ \RNIXTVOX3I\LIX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE n Š cŠ 6QO˜TMOVO

(37) TMTJMOQH UOQVLPTY4 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE nnŠ cŠ 6QO˜TMOVO

(38) TMTJMOQH UOQVLPTY44 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE n†Š Š 8 371

(39) 53

(40) 437335 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE n‰Š cŠ \RNIXTVT3I\LIX EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE n‰Š cŠ LWLJIVLVTVTVIXJQIYI\LZ[OVLX 53 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE †lŠ cŠ 8TXbNMLVOXVT

(41) TMTJZ[OH UOQVLPTY4 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE †nŠ cŠ 8TXbNMLVOXVT

(42) TMTJZ[OH UOQVLPTY44 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ‰lŠ Š 5735 6 836 14 37178 3 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ‰tŠ 8  8™4 3 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ‰nŠ.  š5 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE o‰‹.

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(64) k†. #"f"#"4 % w<%*+( !" $"4 <4% %0$% f#"w<7*3%j 04$%&'( +% ."0(3+%+" +( 3(*."#!(# %*%0963(:+6$%0 " 3(4)0"5+%+" +% %)03%&'(2 *.%B0|%*+( % ()"#%&'( "4 $"4)( #"%0 qD=1F2 kllorE @ %*A0!" *( +(4C*( +( $"4)( $"4 % .%*$%6"4 +" )"#4$# % +"*$f3%&'( +" f"*º4"*(! $#%*!$9#(! " 4)%3$(!E @0g4 +!!(2 )"#4$" <4% B(% 0(3%0|%&'( +(! "."*$(!2 "4B(#% $"*>% % +"!.%*$%6"4 +"2 6"#%04"*$"2 *'( 3(*!"6<# +"$"#4*%# % *%$<#"|% +"!!"!E ‡"!$" $#%B%0>(2 (! !*%! *( +(4C*( +( $"4)( " *( +(4C*( +% f#"w<7*3% f(#%4 %*%0!%+(! )%#% ."#f3%# % )(!!B0+%+" +" (B$"#:!" <4% +!$*&'( "*$#" %! 30%!!"!2 4%! *'( f(#%4 *%+% 3(*30<!.(!E =*$'(2 +")(! +"!!% %*A0!" )#"04*%#2 ( )#4"#( $#%$%4"*$( +(! !*%! +" .B#%&'( 3(0"$%+(! f( % %)03%&'( +%! =!$%$C!$3%! +" F#+"4 ?<)"#(# q=F?r2 w<" "5$#%C#%4 (! )%#}4"$#(! +(! !*%! )%#% 3%+% $)( +" 30%!!" +%! .6%!E @ !"&'( kEn *$#(+<| (! )#*3)%! 3(*3"$(! " +"f*&¹"! +" =F?E c› XMLM‘XMIJLXVT5QVTY3bWTQIOQ @ 4%(#% +%! $g3*3%! +" )#(3"!!%4"*$( +" !*%! $"4 .%*$%6"*! " 04$%&¹"! w<" +"$"#4*%4 !<% %)03%&'( "4 #"0%&'( %( $)( +" !*%02 +"!"4)"*>( " 3(4)0"5+%+" 3(4)<$%3(*%0E ;#%*+" )%#$" +%! "!$%$C!$3%! <!%+%! 3(*$"4)0%4 %)"*%! % %<$(3(##"0%&'(2 (< !"y%2 "!$%$C!$3%! +" !"6<*+% (#+"4E @! )#*3)%! y<!$f3%$.%! )%#% "!!" f%$( !'( w<" qG€@‡@s=12 kllkrj. %rÖ)#(3"!!(! 6%<!!%*(! (< >)($"$3%4"*$" 6%<!!%*(! !'( *$"#%4"*$" 3%#%3$"#|%+(! )(# !"<! 4(4"*$(! +" )#4"#% " !"6<*+% (#+"*!´ BrÖ4<$(! #"!<0$%+(! +" 3<*>( )#A$3( <$0|%4 %)"*%! "!$%$C!$3%! +" !"6<*+% (#+"4 3(4(2 )(# "5"4)0(2 % $"(#% +% )#"+&'( 0*"%#´.

(65) k‰. 3rÖ%! "!$%$C!$3%! +" !"6<*+% (#+"4 $%4Bg4 !'( !<f3"*$"! )%#% 3%#%3$"#|%# !!$"4%! 3<y%! !%C+%! )(+"4 !"# 4(+"0%+%! 3(4( f0$#(!2 3(4 #"!)(!$% "4 f#"w<7*3% 3(*>"3+% " #<C+( B#%*3( 6%<!!%*( *% "*$#%+%E. ‡( "*$%*$(2 %06<*! )#(B0"4%! !'( +" *%$<#"|% *'( 6%<!!%*%E ‡"!!"! 3%!(!2 %! *f(#4%&¹"! "!$'( )#"!"*$"! *'( %)"*%! *% %<$(3(##"0%&'(2 4%! $%4Bg4 *% "!$%$C!$3% +" (#+"4 !<)"#(# q=F?r2 +"f*+%! )(# 4(4"*$(! " 3<4<0%*$"! qG€@‡@s=12 kllkrE =4B(#% % =F? !"y% +"f*+% "4 $"#4(! +" 4(4"*$(! " 3<4<0%*$"!2 "!!"! )(!!<"4 3%#%3$"#C!$3%! +!$*$%!E =*w<%*$( 4(4"*$(! !'( <$0|%+(! *% %*A0!" +" !*%! +"$"#4*C!$3(!2 (! 3<4<0%*$"! !'( <!%+(! *% %*A0!" +" !*%! "!$(3A!$3(! q‡u„u@?´ D=‡=12 mpptrE G(*f(#4" D"*+"0 qmppmr2 %! "!$%$C!$3%! +" (#+"4 !<)"#(# q=F?r )(+"4 0".%# % #"!<0$%+(! 4%! #")#"!"*$%$.(! w<%*+( "4)#"6%+%! "4 )#(3"!!(! *'( 6%<!!%*(! " !!$"4%! *'( 0*"%#"! +( w<" %! "!$%$C!$3%! +" !"6<*+% (#+"4E ?%B":!" w<" <4 !*%0 6%<!!%*( g 3(4)0"$%4"*$" 3%#%3$"#|%+( )"0% !<% 4g+% " .%#}*3%E G(*!"w<"*$"4"*$"2 %! =F? +" <4 !*%0 6%<!!%*( !'( *<0%! (< )(!!<"4 *f(#4%&¹"! #"+<*+%*$"!E 1(6(2 %! =F? !'( 4"*(! %f"$%+%! )(# #<C+(! 6%<!!%*(! +( w<" %! "!$%$C!$3%! +" !"6<*+% (#+"4E %+( w<" 4<$%! %)03%&¹"! )#A$3%! )(!!<"4 #<C+( %+$.( 6%<!!%*(2 %! =F? $74 !+( <$0|%+%! 3(4 B%!$%*$" f#"w<7*3%2 3(*f(#4" g 4(!$#%+( "4 D"*+"0 qmppmrE ‡( w<" $%*6" %( 4(*$(#%4"*$( +" !*%!2 %! =F? $74 !+( <$0|%+%! 3(4( )%#}4"$#(! w<" %04"*$%4 !!$"4%! +" +"$"3&'( " 30%!!f3%&'( +" +!$³#B(! "0g$#3(! 3(4 B%!$%*$" !<3"!!( q/=vv=uv@ "$ %0E2 kllp2 klmm´ vud=uvF "$ %0E2 kll‰rE ‡( 4(*$(#%4"*$( +" 3(*+&¹"! +" "!$#<$<#%! +"!$%3%4:!" (! $#%B%0>(! +" ;"04%* qklmtr2 €%!!%4 "$ %0E qklmkr2 ?%+2 @0 " /*%"3> qklm r " ?%+ "$ %0Eqklmtr2 w<" <$0|%#%4 %*A0!" "!)"3$#%0 +" (#+"4 "0".%+% qá²®­¡ê£è¢£¡.

(66) ko. ઢ§ £žr )%#% +"$"3&'( +" B%##%! w<"B#%+%! "4 4($(#"! +" *+<&'(2 f%0>%! "4 "!$#<$<#%! +" 4%w<*%#%! " "4 !!$"4%! %"#("!)%3%!E "*$#" 4<$%! #%|¹"! )%#% % <$0|%&'( +% =F? "4 )#(3"!!%4"*$( +" !*%!2 %0g4 +% 3%#%3$"#|%&'( +" )#(3"!!(! *'( 6%<!!%*(!2 %! 4%! #"0".%*$"! !'( q‡u„u@?´ D=‡=12 mppt´ ‡u„u@?´ 8=evF8-1-2 mpptrj. %rÖ!<)#"!!'( +" #<C+( 3(0(#+( 6%<!!%*( +" "!)"3$#( +"!3(*>"3+(´ BrÖ +"*$f3%&'( " #"3(*!$#<&'( +" !*%! 3(4 f%!" *'( 4C*4%´ 3rÖ"5$#%&'( +" *f(#4%&¹"! w<%*$( %( +"!.( +( 4(+( 6%<!!%*(´ +rÖ+"$"3&'( " 3%#%3$"#|%&'( +" )#()#"+%+"! *'( 0*"%#"! )#"!"*$"! *( !*%0´ "rÖ +"*$f3%&'( +" !!$"4%! *'( 0*"%#"!E. ‡( 3(*$"5$( +% )#"!"*$" !!"#$%&'( +" D"!$#%+(2 % "!3(0>% )"0%! "!$%$C!$3%! +" (#+"4 !<)"#(# 3(4( )%#}4"$#(! )%#% %*A0!" +" !*%! +" .B#%&'( +"<:!" )"0%! !"6<*$"! #%|¹"!j r % 0$"#%$<#% %$<%0 4(!$#% ( !<3"!!( +% %)03%&'( +" =F? )%#% % 3%#%3$"#|%&'( +" !*%! 3(4 f"*º4"*(! $#%*!$9#(!2 )%#% f*! +" #"3(*>"34"*$( +" )%+#¹"! q/=vv=uv@ "$ %0E2 kllp2 klmm´ vud=uvF "$ %0E2 kll‰rE cc›

(67) TSI\IZ’TX G(*f(#4" !<)#%3$%+( " %)(*$%+( "4 D"*+"0 qmppmr2 %! =F? )(+"4 !"# +"f*+%! "4 $"#4(! +" 4(4"*$(! " 3<4<0%*$"!E D(4"*$(! !'( 4%! *+3%+(! )%#% !*%! +"$"#4*C!$3(!2 "*w<%*$( 3<4<0%*$"! !'( 4%! %)03%+(! "4 !*%! %0"%$9#(!E G(4( (! !*%! +" .B#%&'( %)#"!"*$%42 "4 !<% 4%(#%2 3%#%3$"#C!$3%! *'( 0*"%#"! q/@vv@v´ ƒFv=‡2 klmtr2 ( <!( +" 4g$(+(! B%!"%+(! "4 3<4<0%*$"! )(+" !"# 4<$( )#(4!!(# *% 30%!!f3%&'( " +"$"3&'(.

(68) kp. +" f%0>%!E " f%$(2 ."$(#"! "5$#%C+(! +( !*%0 +" .B#%&'( 3(4 $g3*3%! B%!"%+%! "4 =F? !'( 3%)%|"! +" f(#*"3"#2 )%#% 3%+% 30%!!" +" f%0>%!2 *f(#4%&¹"! 4<$( B"4 +"f*+%!E " %3(#+( 3(4 D"*+"0 qmpplr2 ( 3<4<0%*$" +" !"6<*+% (#+"4 6#÷ÿ$2 g %)"*%! % %<$(3(##"0%&'( +" ÷ÿ%2E ?" ÷ÿ%2 g <4 )#(3"!!( %0"%$9#( !4"$#3%4"*$" +!$#B<C+( "*$'( ( 3<4<0%*$" +" $"#3"#% (#+"4 g 6<%0 % |"#(E ‡"!!" 3%!(2 ( 3<4<0%*$" +" w<%#$% (#+"4 !"#% ( 4%! *+3%+(E @+3(*%04"*$"2 "4 %06<*! )#(3"!!(!2 (! .%0(#"! +(! 3<4<0%*$"! +" $"#3"#% (#+"4 !'( 4<$( )"w<"*(! "*w<%*$( w<" (! .%0(#"! +(! 3<4<0%*$"! +" w<%#$% (#+"4 !'( 4<$( 6#%*+"!E ‡"!!" 3%!(2 ( 3<4<0%*$" +" w<%#$% (#+"4 $%4Bg4 g ( 4%! *+3%+(E @! "5)#"!!¹"! +(! 3<4<0%*$"! +" !"6<*+%2 $"#3"#% " w<%#$% (#+"*! +" <4 !*%0 %0"%$9#( ÷&ý'#ûw<%*+(û(û)÷&ý'*ûõû+2 !'( #"!)"3$.%4"*$" qD=‡=12 mppmrj. 6#÷,ù-õ(.÷,ý-÷,ý/ù-02 qmr.  #÷,ù-õ(.÷,ý-÷6,ý/ù-02 qkr. 

(69) #÷,ù-õ(.÷,ý-÷ ,ý/ù-08 6#÷,ù-6#÷,+-2 qtr. "4 w<" ùûg ( ù:g!4( %$#%!(2 " ÷&ý' g ( ý:g!4( "0"4"*$( +( ."$(# 1E. 8%#% <4 ."$(# 3(4 3(4)#4"*$( f*$( ÿ22# %! %)#(54%&¹"! "!$(3A!$3%! (f"#"3"4 %! !"6<*$"! "5)#"!!¹"! qD=‡=12 mppmrj. 36#÷,ù-4õ26 2ýõ+÷,ý-÷,ý/ù-# q r.

(70) tl. 3 #÷,ù-4õ26 2ýõ+÷,ý-÷6,ý/ù-# qnr. 3

(71) #÷,ù-4õ26 2ýõ+÷,ý-÷ ,ý/ù-8266 2ýõ+÷,ý-÷,ý/ù- 2ýõ+÷6,ý-# q†r. "4 w<" ùûõû+#ü#555#266û8ûüE. ‡($" w<" %! =w<%&¹"! q r " q†r *'( )(+"4 !"# <!%+%! !" ùû7û266û/ûü# )(!ýû/ûùû!"#A 4%(# w<" 25 "!!% f(#4%2 )"#+"4:!" *f(#4%&¹"! *( 3A03<0( +(! 3<4<0%*$"!E =4 vB"#( "$ %0E qkll‰r2 f( )#()(!$% <4% %B(#+%6"4 %0$"#*%$.%2 "4 w<" 3%+% 3<4<0%*$" g 3%03<0%+( <$0|%*+( $(+%! %! 2 %4(!$#%! +" !*%0 +!)(*C."0E d%!3%4"*$"2 f(#4%:!" <4 $)( +" Ý©¤¤¢£¡3#3<0%# *(! !*%!2 +" $%0 f(#4% w<" !" ( .%0(# +" ýû/ûù f(# 4%(# w<" 2 "4 ô <*+%+"!2 "!$" .%0(# g !<B!$$<C+( )(# ô2 $(4%*+( 3(4 !!( %! %4(!$#%! %*$"3"!!(#%! %( .%0(# ù#ûw<" %*$"#(#4"*$" *'( "#%4 <$0|%+%!E ‡% ."#+%+"2 g 3(4( !" >(<."!!" <4% 3(*$*<+%+" +% ³0$4% %4(!$#% )%#% % )#4"#%2 f%|"*+( 3(4 w<" ( !*%0 !"y% .#$<%04"*$" 3#3<0%#E D%$"4%$3%4"*$"2 % !<B!$$<&'( +" ý/ü2 w<%*+( ý/üû7û22 )(+" !"# +%+% )(#j. ö89:ý/ù#2;õ,ý/ù-8<2# q‰r. "4 w<" < g ( *³4"#( *$"#( (B$+( w<%*+( !" +"!3(*!+"#%4 %! 3%!%! +"34%! +% +.!'( +" ý/ù )(# 22 ( w<" *% ."#+%+" #"!<0$% *( #"!$( +% +.!'( +" ý/ù )(# 2E @!!42 %! "5)#"!!¹"! qmr " qtr )(+"4 !"# "!$4%+%!2 )%#% 2 f*$(2 )(#j. 36#÷,ù-4õ26 2ýõ+÷,ý-÷=ö89,ý/ù#2-># qor.

(72) tm. 3 #÷,ù-4õ26 2ýõ+÷,ý-÷6=ö89,ý/ù#2-># qpr. ". 3

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