the elastic wave propagation over the shape transitions of bodies.
Transkript
THE ELASTIC WAVE PROPAGATION OVER THE SHAPE TRANSITIONS OF BODIES. Š.Morávka, P.Hora Summary: Due to using non-destructive diagnostics method – the acoustic emission- there is required the best knowledge about the rules of the elastic wave propagation in bodies. So this work treats the elastic wave propagation in the basic construction elements of structures. The samples with the most common shape transitions are used – here some experimental bodies with the shoulders (like a stair shape) at various sizes. The results of the analytical computations, numerical simulations and experimental results are verified and compared mutually. The generalized ray theory - one from the analytical methods - is applied. For the extensive numerical simulations the finite element method (implemented in software MARC/MENTAT) is used. The transient piezoceramics transducers are employed for the experimental measuring. 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Petr Hora, CSc., E-mail: [email protected] RED ÒVWDY I\]LNiOQtKR LQåHQêUVWYt VSROHþQp SUDFRYLãW =ý8 3O]H a ÚT$9ý53UDKD9HOHVODYtQRYD3O]H WHOID[ 3RXåLWpPHWRG\ 3UR ]NRXPiQt ãt HQt HODVWLFNêFK YOQ SRXåtYiPH U ]Qp PHWRG\ NWHUp Y]iMHPQêP SRURYQiYiQtP YHULILNXMHPH 3UYQt ] PHWRG MH DQDO\WLFNê YêSRþHW Y\FKi]HMtFt ] exaktních URYQLF NRQWLQXD PHWRGD ]REHFQ QpKR SDSUVNX -H ]DORåHQD QD PHWRG LQWHJUiOQtFK WUDQVIRUPDFt 3UR VWDQRYHQt LQYHU]Qt /DSODFHRY\ WUDQVIRUPDFH QHY\XåtYi VXPDFH S HV UH]LGXD DOH ]P QRX LQWHJUDþQt FHVW\ MH PRåQR VWDQRYLW /DSODFH LQVSHNFt -HMt S HGQRVWt MH DEVHQFH MDNêFKNROL DUWHIDNW aO]HMLYêKRGQ Y S HGP W S tPRX S HG S tFKRGHP SUYQtKR þHOD YOQ\ SRXåtWYS tSDG EOt]NpKRSROHDNUiWNêFKþDV OLW [2], [3]. 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VþDVH W 27,6 RGERN V E\ NH VQtPDþL P OD GRUD]LW þHOD GLODWDþQtFK YOQ RGUDåHQêFK Y]RUNX7HQWRMHYVH]GiEêWMDNQDH[SHULPHQWHFKWDNQD0.3YêVOHGFtFKSDWUQê 'DOãt ]DYOQ Qt O]H LGHQWLILNRYDW MHQ YHOPL VSHNXODWLYQ 1DYtF VH ]Gi åH Q NWHUp YUFKRON\ N LYN\VHVURVWRXFtYHOLNRVWtRVD]HQtSRVRXYDMtDWtPVHP åHLMHMLFKSR DGtP QLW« Obr. 5 0.3DDQDO\WLFN\Y\SRþtWDQêSRVXYNROPêN povrchu pro odsazení 1, 2,5 a 5 a 10 mm. =iY U 9êVOHGN\ ]HMPpQD XND]XMt åH L SRP UQ PDOp RGVD]HQt MH S HNiåNRX SUR ãt HQt 5D\OHLJKRYêFKSRYUFKRYêFKYOQFRåP SUiY Y\XåtYi S tFKRG åH]S VRELWFK\EQRXORNDOL]DFL]GURMH$(NGHVH þHO 5D\OHLJKRYêFK YOQ 9G VOHGNX RGVD]HQt SUDYG SRGREQ GRFKi]t NH ]SRåG Qt GLODWDþQtFK YOQ 1HSRGD LOR VH SURNi]DW åiGQRX NRUHODFL PH]L IUHNYHQþQtPLVSHNWU\RGH]HYQDMHGQRWNRYêVNRNDYêãNRXRGVD]HQt ÒURYH P VKRG\ DQDO\WLFNêFK YêSRþW numerických simulací a experimentálních HQt MH UHODWLYQ GREUi D RGSRYtGi WHFKQLFNêP PRåQRVWHP 2PH]XMtFt MVRX ]HMPpQD YHOPL Y\VRNp SRåDGDYN\ QHVWDFLRQiUQtFK 0.3 PRGHO QD YêNRQ KDUGZDUH 3 HVWRåH VH Y\XåtYDMtGYDYêNRQQpVWURMHZRUNVWDWLRQ6*,2FWDQHD3&V PRåQpVHIUHNYHQþQ S LEOtåLWNPRåQRVWHPP Pentiem 450 MHz, stále není HQt 3 tVS YHN SUHVHQWXMH þiVW UR]ViKOHMãtKR ~NROX MHKRå FtOHP MH EOtåH SR]QDW ]iNRQLWRVWL ãt HQt HODVWLFNêFK YOQ YW OHVHFK ]HMPpQD SUR SRW HE\ DSOLNDFH PHWRG\ $( 3UiFH EXGH GiOH SRNUDþRYDW VWXGLHP ãt HQt HODVWLFNêFK YOQ QD GDOãtFK NRQVWUXNþQtFK SUYFtFK 1\Qt SUREtKDMt YêSRþW\ DP HQt W OHV RSDW HQêFK WHQNêP ]i H]HP YUXEHP oU ]QêFK KORXENiFK 'iOH VH EXGHPH ]DEêYDW URWDþQtPL W OHV\ Hãt VH RVD]HQp YiOFH aMVRXS LSUDYHQ\NUXKRYpGHVN\VRWYRU\3UREtKDMtYêSRþW\PRGHOXWOXVWRVW QQpQiGRE\D hranolu sRWYRUHP7RMVRXDOHVDPRVWDWQpSUREOpP\RNWHUêFKP åHEêWUHIHURYiQRMLQG\ Literatura. [1] Hora P. & al.: Nové PHWRG\Y\KRGQRFRYiQtVLJQiO R HãHQtJUDQWX*$ý5þ3O]H DNXVWLFNpHPLVH=iY UHþQi]SUiYD =iSDGRþHVNiXQLYHU]LWD [2] Pao Y.-H., Gajewski R. R.: The Generalized Ray Theory and Transient Responses of Layered Elastic Solids. In: Physical Acoustics, Edited by Warren P. Mason and R. N. Thurston, Vol. 13, Academic Press New York, 1977. >@ +RUD 3 7HRULH ]REHFQ QpKR SDSUVNX D DQDOê]D WUDQ]LHQWQtFK YOQ YH YtFHYUVWYpP SHYQpPW OHVH9ê]NXPQi]SUiYD93Ò766.ý6$93O]H >@ 0RUiYND â 3RURYQiQt DQDO\WLFNpKR HãHQt QHVWDFLRQiUQt Ui]RYp QDSMDWRVWL NRQWLQXD sYêSRþWHPSRPRFt0.36WURMQtFN\þDVþVWU%UDWLVODYD >@0RUiYNDâ6SROHþQpSRVRX]HQtYHGOHMãtFK~þLQN SURVWRURYpDþDVRYpGLVNUHWL]DFHS L QHVWDFLRQiUQtP]DWtåHQt,Q1iURGQtNRQIHUHQFH,QåHQêUVNiPHFKDQLND ’99, Svratka, 1999. [6] Proctor T. M. Jr.: An Improved Piezoelectric Acoustic Emission Transducer., J.Acoust. Soc. Am., vol. 71, pp. 1163-1168, No. 5, 1982. >@ 0RUiYND â $QDOê]D ãLURNRSiVPRYpKR VQtPDþH QDS RYêFK YOQ Kolokvium 'LDJQRVWLNDDDNWLYQt t]HQt’98, Brno, VUT, 1998. 3UiFH E\OD þiVWHþQ SRGSRURYiQD SURMHNWHP 0â07 þ - *UDQWRYRX DJHQWXURX ý5 SURVW HGQLFWYtP JUDQWX þ3 Ä0RGHORYiQt ãt HQt QDS RYêFK YOQ SUR ~þHO\ ]S WQp UHNRQVWUXNFH ]GURMH DNXVWLFNp HPLVH³ D SLORWQtP SURMHNWHP Ò7 $9 ý5 þ 338³ $QDOê]D GLVSHU]QtFKMHY S LXOWUD]YXNRYpPQHGHVWUXNWLYQtPKRGQRFHQtPDWHULiO
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