(1) (2) -fluid density and - fluid potential. The potential of the fluid velocity satisfies the equation: (3)
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1 ISS: ISO 9: Cetfed Itetol oul of Egeeg d Iovtve Tecology IEIT Volume 3 Issue Apl Fee osclltos of two cocetclly locted cyldcl sells wt flud betwee tem A. I. Seyfullyev M. A. ustmov S.. Agsev tol Acdemy of Sceces of Azebj Isttute of Mtemtcs d Meccs ku AZ 3 st.. Vbzde Azebj Actectue d Costucto Uvesty ku st. Ay Sult ov. AZ Abstct- Fee vbtos of two cocetclly locted cyldcl sells wt lud betwee tem e studed. Suc systems e met wt et excges. Te eutos of moto depedet o xl decto e wtte o te teccl teoy of cyldcl sells. Te fluds moto s potetl d s wtte by wve euto. Te flud moves ot septed fom te cylde wlls. Te flud pessue tke to ccout te eutos of moto of sells d veloctes of te flud d te sell e euted o te boudes. epesetg te soluto te moc fom t s educed to te system of tscedetl eutos. y compg te soluto of te poblem wtout lud d te soluto vlblty of lud te depedece of te feuecy of te lud less system wt te feuecy of te system wt lud s foud. Ege feueces of vbtos e detemed t some vlues of te system pmetes fluece of te cyldes sze o fee vbtos of te cylde s lso studed. Idex Tems: desty feuecy pessue sell vbtos d wve. I. ITODUCTIO Fo te clculto of Ege feueces d mpltudes of te osclltos of te elstc elemet te lud fo stce of te cyldcl et geetg elemet te tomc ecto o of te tube te et excge devce t s ecessy to kow te mesue of te mss coected to t d to te dmpg foce. As t s demostted te expemets []-[] te vscosty of te lud s get effect to te vlue of te coected mss d to te dmpg of vbto. Moe ove tese popetes deped o te locto of te o-moveble bodes suoudg te cylde. I [7] te coss- secto vbtos of te fte cylde te lud suoudg by te o-movg cocetc sell e vestgted. At ts cse te velocty of te cylde s cged by te moc lw d te smll dsplcemets e vestgted we te mpltude of vbtos s sgfctly less t te dmeso of te gp betwee te cyldes d te lud flow ogted by ts effect s duble oe. It s sow tt tee s bg depedece betwee te ydo-dymcl dmpg of vbtos d te lud vscosty d te feueces of vbtos. I [] vestgto of fee vbtos of specl cluso cotg elstclly suspeded mss stuted coustc medum by te vese metod. II. THE POLEM FOMULATIO. I ts wok te fee osclltos of two cocetclly locted sells e exmed fo te cse we tee s flud betwee te sells. Te cosdeed sell system s get teest e of et excge eseces. O te bse of te teccl teoy te euto of te movemet of sells fo te cse we o dsplcemet occus te xlly decto c be peseted te fom [9]: z t t z wee s dsplcemet potetl - te coodte te ccumfeetl decto -dus of te sell - tckess E - Youg modulus z flud pessue - specfc mss of te sell. I te cse of te potetl movemet of te lud fo smll dsplcemets z z t t -flud desty d - flud potetl. Te potetl of te flud velocty stsfes te euto: t 3 y coectg te potetl of te lud velocty wt te velocty of te sell dsplcemets o te bodes we ve: ; t t 33
2 ISS: ISO 9: Cetfed Itetol oul of Egeeg d Iovtve Tecology IEIT Volume 3 Issue Apl 3 Fo te pupose of vestgto of fee osclltos te ptcul solutos of te system e cosdeed: e t s и e t s y substtutg to d we get y excludg d fom we get 7 I te cse we tee s o lud betwee te sells.e. we te system 7 tkes te fom: wee d e te feueces of fee osclltos of te cyldes wtout y suoudg medum. y combg te eutos 7 d we get 9 o y substtutg te solutos of te euto 3 wee d e te essel s d espectvely eum s fuctos to we ve Tkg to ccout tt d ukow we ve Fo te cse wt we c obt by tkg up te pmetes by te coespodg wy we ve 3
3 ISS: ISO 9: Cetfed Itetol oul of Egeeg d Iovtve Tecology IEIT Volume 3 Issue Apl 3 y deotg d tkg to ccout te codto of o-tvlty of te soluto of te system 3 we get: o y solvg te elto to we get c wee c Fo some gve vlues of te pmetes of te poblem te gps e costucted t te tevls 3 fo d fo fg 3 te gps e costucted t te tevl fo d fo fg 3 3 te gps e costucted t te tevl fo d fo fg 3 3. III. COCLUSIOS Te vlue of te Ege feuecy of te system ceses uckly by te cesg of te feuecy of te fee cyldes. Te te cesg of te feuecy of te system goes muc slowe d ppoxmtes symptotclly to te cet vlue. Te feuecy of te secod mode begg ceses fom some vlue wt te decesg of te stffess of te tubes up to te cet vlue. Ts c be expled by te movemet of tube wlls d flud ptcles tt occus t te sme. Fst foud by lytcl soluto of te fee vbtos of cocetc tubes. Suc tube system c be used et excges etg o coolg devces. Meg Ege feueces tubes my be ecessy to pevet te esoce peome te vcty of souces of vbto o covesely cuse fluctutos te system to ece et tsfe. EFEECES [] M. H. Ibgmov V. F. Syvsky A. G. elykov Ivestgto of te dded mss d dmpg coeffcets osclltos of cyldes vscous luds Pept FEI- Obsk pp [] S. S. Ce M. W. Wmbsgs. A. edzejczyk Added mss d dmpg of vbto od cofed vscous flud Ts. ASME..Appl. Mec. p [3] A. Te Eytoll Mst ustmov Ivestgto of Fee Vbtos Of Specl Icluso Cotg Elstclly Suspeded Mss Stuted Acoustc Medum by te Ivese Metod Itetol oul of osystems vol.3 p.3-. [] A. I. Golovov Ivestgto of fee vbtos of te sells by fte elemet metod. Ivestgtos te teoy of pltes d sells. MY. 3 z z Stte Uvesty p [] V. A. Qbkov Te m esults of te study of dymc cctestcs of sells flled wt flud: lyss d flud Poc. Scece. Of te symposum ovosbsk p. 99. [] H. Hug Y. P. Lu Y. F. Wg Tset tecto of specl coustc wves cyldcl elstc sell d t s tel mult-degee-of feedom meccl systems Acoust. Soc. Amec vol. p [7] V. F. Syvsky V. S. Fedotovsky A.. ut O te osclltos of cylde vscous flud Appled Meccs vol.xvi p.-7. [] G. lkev 97. To ow symmetc osclltos sllow specl sell wt lud oul of Egeeg MTT pp. -3. [9] A. P. Flppov Vbtos of Defomble Systems Msostoee Moscow 97. AUTHO IOGAPHY Seyfullyev Alzde Imml ol Cddte of Pyscs d Mtemtcs Sceces docet tol Acdemy of Sceces of Azebj Isttute of Mtemtcs d Meccs ku AZ 3 st.. Vbzde 9..seyfullyev@yoo.com
4 ISS: ISO 9: Cetfed Itetol oul of Egeeg d Iovtve Tecology IEIT Volume 3 Issue Apl ustmov Mexset Akf kz Cddte of Pyscs d Mtemtcs Sceces docet Isttute of Mtemtcs d Meccs of te tol Acdemy of Sceces of Azebj; ku AZ 3 st.. Vbzde 9. Eml: meset@gml.com Asev Sm mz ol Cddte fo degee Azebj Actectue d Costucto Uvesty; Eml: bksm@ml.u epublc of Azebj ku st. Ay Sultov. AZ APPEDIX Fg : Te depedeces of te feueces of osclltos fo dffeet modes of te system o te feuecy of te empty sell 3 3
5 ISS: ISO 9: Cetfed Itetol oul of Egeeg d Iovtve Tecology IEIT Volume 3 Issue Apl Fg : Te depedeces of te feueces of osclltos fo dffeet modes of te system o te feuecy of te empty sell Fg 3: Te depedeces of te feueces of osclltos fo dffeet modes of te system o te feuecy of te empty sell 3 37
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