APVC2007. Rank Ordering and Parameter Contributions of Parallel Vibration Transfer Path Systems *

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1 , Saoo, Jaan Ran Odng and Paa Conbuon of Paalll Vbaon anf Pah Sy * Yn HANG ** Rajnda SINGH *** and Banghun WEN ** **Collg of Mhanal Engnng and Auoaon, Nohan Unvy, POBo 19, No. -11 Wnhua Road, Shnyang, , Chna E-al: yzhang@al.nu.du.n *** Aou & Dyna Laboaoy, Cn fo Auoov Rah, Mhanal Engnng, h Oho Sa Unvy, Colubu, OH, USA Aba h a bad on ba hoy of vbaon and nvy hnqu, h obl fo an odng and aa onbuon an of aalll vbaon anf ah a olvd. h anf ao and nvy a loyd a aun on, and h ffv aoah fo an odng and aa onbuon an of aalll vbaon anf ah a nd. h an odng of onbuon aong ull and/o ul-dnonal ah a nd oly and ly n fquny ang. Ky wod: Vbaon, anon, Pah, Ran; Paa onbuon, quny and ang 1. Inoduon *Rvd, (No. - [DOI:./ABCDE.6.] I valuabl o gv nvgaon on dyna naon aong ull and/o ul-dnonal ah n any aal uu and ahn. h ff of ou, anf ah, v and dyna naon aong h, on h ovall vbaon and no foan a no wll undood. Many la ah ln hb ul-dnonal a byond vy low fqun and hu h oly of h obl na. Idnfaon of donan ah( n any y (o vn a ub-y ual fo ubqun uual odfaon o oonn lon n od o anua vbaon and no lvl. Howv, a o naon of h onbuon of ull ah no aghfowad, ally a low and d fqun. o al, onvnonal au uh a fo and vloy anbl ay no b alabl o ul-dnonal obl n h aoad anbly u b dbd ung a a hough h un of off-dagonal a no oabl [1]. uh, h ng hod of anf ah analy, bad on obly o dan foulaon, o yld nonn ul n of an odng and h alaon a ubo [1]. Vbaoy ngy (o ow analy hod hav bn wdly ud o db h dyna bhavo of uual and aou y [1-6]. Boh dn and aal analy hav bn loyd o ov a boad ang of fqun vn hough o ayo hod a alabl only n h hgh fquny g [6]. On h ba of h ba onon of vbaon ho and h nvy hnqu of uu, h a, aally and ffvly, n h quanav hod fo ah anbly of aalll vbaon anf ah y n fquny ang, and h aa onbuon an of aalll vbaon anf ah y n ang wh dyna nvy a aun on. h an b onvnnly ud n dbng 1

2 , Saoo, Jaan h an od of ull and/o ul-dnonal ah, and fuho h hoal analy and nual ouaon fo ah anbly and nvy of aalll vbaon anf ah y an b ahvd, o a o ovd ffv aoah o da vbaon and no by an of odfyng uu oology o odl aa and lng o hangng a.. anbly of h ou Condng h wo-dg-of-fdo aalll vbaon anf ah y (g.1, wh only ngl aon ondd. Govnng quaon of g. 1 hown a follow K C M & & & (1 g. 1. h wo-dg-of-fdo aalll vbaon anf ah y odl wh M,, C K, ( wh 1, 1. Sn {(} nuodal aon (, ( ( Au on a ϕ (, ϕ ( ( wh and dnd on and hyal aa. Subu ( and ( no (1 - - ϕ ϕ ( h fquny funon ( d d { } (5 wh { } d R { } I d hfo, h agnud of ady a on a

3 , Saoo, Jaan Hn [ ( ( ] ( ϕ - (6a d[ ( ] ( ( ϕ - (6b d [ ( ] [ ( ] - ϕ (7a ( R{ d[ ( ]} ( I{ d[ ( ]} ( - ( ϕ (7b h nfaal fo a j ( R{ d[ ( ]} ( I{ d[ ( ]} ( ϕ j ( j ( & & j ( j ( ( ϕ j h agnud (j1,, (8 j ( [ ( ] j j j (j1,, (9 ( R{ d[ ( ]} ( I{ d[ ( ]} h anbl of and fo and aon fo a ( [ ( ] j j j (j1,, (1 d ( R{ d[ ( ]} ( I{ [ ( ]}. Analy of nvy of h ah Condng h fv-dg-of-fdo aalll vbaon anf ah y odl n g., wh only ngl aon ondd, and h a a, dang a, ffn a, dlan vo and nal fo vo a vly [ C ] 1 1 g.. h fv-dg-of-fdo aalll vbaon anf ah y odl [ M ] [ ] 1 dag

4 , Saoo, Jaan [ K ] { ( } { n( }, ( { } { } 1 a dffnaon of quaon (1 o g h followng nvy quaon D&& D& D ( M C K M C K ( I && ( I & ( I DV DV DV (11 wh I h dny a wh dg, h ybol Kon odu, V( , D DV, D& DV, D & DV h Jaob a,.. h nvy a. Solv fo, &, & & fo Eq. (1 and ubu h oluon no quaon (11, o g h nvy a D DV, D& DV, D & DV, o ha w an analyz h ah nvy. Bad on f uaon, w an n h nvy of ah ah a D (1a D D D D D D D D D (1b (1 (1d (1 W an u h o dn h onbuon of h aa of ah ah. If h nvy hgh, h on and onbuon wll b hgh.. Nual al Eal 1:-DO y a g g,.5 N /, 1 N/, 1 g, 1. N /, 18 N/, 1.5 N /,.75 N /,.5 N /, 15 N/, 5 N/, N/, 1 N, 1 ad/. Dn h anbly and nvy of ah ah. h naual fqun and naual od a 1.997, { ( 1 1. }, 15.86, ( 1. { } g how h anbl of j (j1,, of ah ah a funon of aon fquny (ad/., a wo naual fqun ( 1 o, j (j1,, a lag; Sond ah 1 ha lag onbuon oad wh ah, and ah ha lag onbuon han ah. hfo, w an dgn vbaon onol aodngly. Eal : 5-DO y..5, 1 N /, 5 N/,.5 g, 1 N /, 1 N/, 1. g,.5 g,.6 g, 116 N /, N /, 8 N /, 118 N/, 6 N/, N/, 1 N, 1 ad/. Dn y haa and on.

5 , Saoo, Jaan anbly Pah 1 Pah Pah quny g.. h anbly uv g. -6 how h nv V( a funon of. Snvy ( 1 g.. h uv of h nvy wh o a Snvy ( D /D D /D 1 g.5. h uv of h nvy wh o dang W an ha a ha lag onbuon o h v, hn h dang and ffn h la. uho, a h bgnnng, h ah lo o h v hav lag onbuon oad wh ho whh a fah away. hfo, w nd o dgn a, ffn and dang afully. 5

6 , Saoo, Jaan Snvy ( D /D D /D 1 g.6. h uv of h nvy wh o ffn 5. Conluon h a dal wh h onbuon and anng of anon ah. Bad on h ba lna vbaon hoy, anbly and nvy a ung a a o gv h an odng of ah n h fquny doan a wll a n h doan. h ovd ngh no h PA and ah anng. 6. Rfn (1 R. Sngh and S. K, Jounal of Sound and Vbaon, Eanaon of Mul-Dnonal Vbaon Iolaon Mau and h Colaon o Sound Radaon ov a Boad quny Rang, Volu 6(,, ( L. C and M. Hl, Suu-Bon Sound: Suual Vbaon and Sound Radaon a Audo qun, Sng-Vlag, 197 ( J. L. Wohlv and R. J. Bnhad, Jounal of Sound and Vbaon, Mhanal Engy low Modl of Rod and Ba, Volu 15(1, 199,.1-19 ( S. K and R. Sngh, Jounal of Sound and Vbaon, Vbaon anon hough an Iolao Modld by Connuou Sy hoy,volu 8(5, 1, (5. E. Roo and R. Sngh, No Conol Engnng Jounal, Mobly Analy of Suu-bon No Pow low hough Bang n Gabo-l Suu, Volu (, 1996, (6 R. H. Lyon and R. G. Djong, hoy and Alaon of Saal Engy Analy,Buwoh-Hnann,1995 Anowldgn W would l o ou aaon o Poga fo Changjang Shola n Unvy, o Chn Naonal Naual Sn oundaon (5551, o h Laonng Naual Sn oundaon (5 and o Laonng Innovav Rah a n Unvy. 6

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