ࡱ>   bjbjT~T~ M`66  +4   $_ "   rrr Rr rrr@n3=a^ r0+rh rr$  r     r   +              :  Normal Vibrational Modes of a Truck Tire Cody Borigo Advisor: Dr. John Dooley The objective of this research is to identify and understand the normal vibrational modes of a truck tire in order to determine if tire failure could be predicted by monitoring these vibrations. Vibrational data was collected by striking the tire and recording vibrations via a microphone. The vibrational data was then broken down into its constituent frequencies via Fourier analysis. Several factors have been analyzed including resonance, absorption, effect of pressure change, and the effect of loading the tire with additional mass. Several phenomena have been identified, including a 200 Hz vibration that can be attributed to a circumferential wave in the air cavity, two dominant and related frequencies near 100 Hz that depend strongly on pressure and could be due to Stoneley waves, and an absorption frequency that is also highly dependent on pressure and responsive to mass loading, which may be attributed to the breathing mode of the tire. 01= hKh7k hKhKhKh7kCJ$aJ$hKh7k5CJ$aJ$hK5CJ$aJ$jhKUmHnHu1=W $a$gdK$d`a$gdK $da$gdK ,1h/ =!"#$% FN(>oYJFIFC    #%$""!&+7/&)4)!"0A149;>>>%.DIC;C  ;("(;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;" }!1AQa"q2#BR$3br %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz w!1AQaq"2B #3Rbr $4%&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz ?Hi0sIYFi 4s@bCSU?N:S֢F#Z?ƹj_ 0?@\ k7 Esi~;ZIG'ܐ"; LCwm 9e AFkW6@ m+(cu US妦K/IsfWZj O\LRIbf>v5 hB6$ 5yZ%l2,PK>ޠ獵`4L<籧J.yNN+G;MP@m"iJ)a4x"&޿E HyzK ׂbZ$$%AKZ_˟ʓ/\VFLJu)g)2J+pz^tt`G]e[CtV7ZF8_Xcr}VA+_HebcCeAkcwu!N!Ci FcSCcĈb(3|qMX]0Iwwn1wUNSÁ-.Ƙ'ճi-&Ƥbc 7o/SRwk?0-TK>)9N?zWK>)P'yqs4yP(絺.֠O?տ zYQkpLje3z58x'0[WȻmW"Q'ԚoOGjM}2?œYY`_F?@(#=a?zQ1Zp=n%?@Gڇ}XS@ /h#_&́Ty\??c;-gOҀq?I=~THF;b5O "MFe;t^Ռz} kFgӤBS<XsQ&OE.iwƪ*@ uTQEQEQEQEQE4gQLQuRa?*:hf,b7Gdj2˰aBJI-r֟UjYrizdE;w[R5 c# cNW9uQ.7ѕO)c`t,<ڹf޼_x.WP'Ju_oZ;K33;k Dfb%JPo.RH['@RI?aKO<7qj.[h9yYm7B+v䵈 \,sLid=he=Wִb{H+igr6ڹ=pN jnŷpKgwV5s5ox#QO^+~c\:C]& JБ\F$`ʺI/N{\p`H˰MIWٙ{nϵ66Fke?QdO'h¨rFMv4rxF[)YȹP eI궣vc>\n)e;zvU/M}&UWl>_,?i|fskT5JC>§cUsC}DHĜ{UKFW94 kf9t3ȅ]ыT9k;INbŠj6nՔ!i3e،8&#y]]u(^6XW c4{O#e+F+Z.lҲ 3ǥ][cbĺ8IT2} Q@ԗOl'-o\3[:d֮[x`["X݁,E8YJSmY#< i 5i -h>[¤ᴥ$.;}hݱ Gs8:K5]ŸzChg4B"Cלj#[YnU*BpT^UX{oC W Q 1SZGa\i ny]r_qβ9mo#" dn*\!hA=YZ3%^/) ?A/jf\wQODDws}bsڎhLPhih(((((S(6SѴ{fXL MSb@PQKEQ@KIK@ E!8@C#W\?ֱ]GL!6-_]R6ɧ&VqeF;0\̹'lL=fl6w5_݉6"޸S>82fwĤ~#);}XVFhB ?`kC_[HЬm#0B\֭1Ml8DA5QϷx)QXU-ξ&EsIS}B#m#kTdT 4scIAyZixh)~izSOIkJ7'&=aWGͤ-م^jqiX}HXJ)^RXثR;[> /-jwr?|H:959eGk^}@֣RGJ䈮ïj]c^_% O }}Y]z1kd?(-ܒ=kLӄh\Ӎk2$0y݀"#׵u ޟ*Pv bi#ʊC3.yOVMvuGr_ޣ@TD.3q~ొ!s3F}#33;I@P׊kCD˳ɴn> n Muov >S,ǩZл8o#òt`i9GOjqAz548DG#ҐRFa졾[%ps\Um[sZְ"*H qFk79q Donz][A5*+%fvGe?=Om㢤mW}99|ͱ?n"81'`?c /P 3S]mYEܧ#l*)C]^DT;9 2>'V> 5o$,2'bWI-[ښIGZ=ڱ,')[{[ hZhѻƍ/~4{^rxz/mI bZ v1b#p-J=?\:1E3<8#}[2EHOSÀx? 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