NON-STATIONAR STOCHASTIC VIBRATION SI(NAL MOD3LIN
Transcription
NON-STATIONAR STOCHASTIC VIBRATION SI(NAL MOD3LIN
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' %$ P cmFD2Q FN.QRGCIK 8 Gp 8 G¼ pG¡pL½LÉLl pG¡pLo4o qpG 2o 2¼ qpG¡pG¼ÉLn pG¡lLpLlLl pG¡pLªLp qpG.¼ 2½G¼ qpG¡pLpLnLo pG¡pL½LpLl qpG.¼pLlLª 8 Gl qpG¡p4 L 2p qpG¡pLÉLÉLÉ pG¡pLÉLnLª qpG¡pG¼pG¼ qpG¡pLl G 1−step ahead predictions 0.04 0.02 0 −0.02 −0.04 231.5 232 232.5 233 Time (sec) 233.5 234 Å8N.eL[?ZEQYoGt/hwdrq ckPcV: ?j¡o2Ws¢¤£G¥/UDGGQS2$JLKMQ4DLR?QqKMCEQ\qJ4H?Q4JL\?ZEQ4GNOFCEN.DLR$KYN.CEH?N.RCEH?Q gLJ4S.NO?J4CEN.DLRKMQC(V:D?tJLFCE[$J4S8KMN.eLR$J4Suj?bt/\?ZEQ4GNOFCEN.DLR$Kj tw½Lo Ä\?ZEDL$J4?N.S.N.CMTS.N.UN.CIKIWI Spectrum (db) 200 160 120 20 80 5 4 3 2 Frequency (Hz) 1 10 ec) (s e 0 0 im T Å8N.eL[?ZEQ(nGt N.UQqGQ\$QR$GQRGCKM\$Q4FCEZE[?UD_^iCEH?Qhwdrq ckPcV: ?j¡o2Ws¢¤£G¥KMN.eLR$J4SUDGGQSu 4J R$J4S.T?KMNOKYYJLKJ4\?\?S.N.Q4¶^DLZCEH?Q ZIKMCCEN.UQYN.CEH?N.RCEH?QgGN.?ZIJ4CEN.DLRJ4R$J4S.T?KMNOKFDLRGCEQGCj$J4R$ JFDLU\$J4ZENOKMDLRYN.CEH-\?[?ZEQ ck´J4R$J4S.T?KMNOKYJLK(J4SOKMDUJLGQ2 H?QUJ4N.R-FDLR$FS.[$KMN.DLR$KD_^ CEH?NOKYKMCE[$GTJ4ZEQ2t A H?Q ckPcmUQCEH?DGS.Q4CEDJR?DLRqKMCIJ4CEN.DLR$J4ZET ckPcV: ?j¡o2Ws¢¤£G¥KMN.eLR$J4S/ZEQ\?ZEQq KMQRGCIJ4CEN.DLRYN.CEH$JLKMNOK ^[?R$FCEN.DLR$K8CEH$J4CwN.R$FS.[$GQYJFDLR$KMCIJ4RGCJ4R$J(KMN.R?Q4FD2KMN.R?Q\$J4N.Z FIH$J4ZIJLFCEQZEN.µQ4GTCEH?QKMT?KMCEQU ^ZEQ4³2[?QR$FTD_^ ±¢ G¹p¡o H?Q ckPcV: ?j¡o2Ws¢¤£G¥8UDGGQS2YJLK8KM[$FFQ4KEK^[?S.S.TgLJ4S.NO?J4CEQ4bjLJ4R$(S.Q4(CEDUQ4J4R?N.R?e_^[?S J4R$JLFF[?ZIJ4CEQKMN.eLR$J4SYJ4R$J4S.T?KMNOK uCIK(CEN.UQqGQ\$QR$GQRGC(KM\$Q4FCEZE[?Uj/JLKQS.SJLKN.CIK R$J4CE[?ZIJ4S ^ZEQ4³2[?QR$FTJ4R$?J4U\?N.R?eZIJ4CEN.DCEZIJ 8§Q4FCEDLZEN.Q4KjGYJLKKMH?D4YRCED$Q(N.RFS.D2KMQ J4eLZEQQUQRGCwYN.CEHN.CIKCEH?QDLZEQCENOFJ4SFDL[?RGCEQZE\$J4ZEC ) H?Q ckPcUQCEH?DGb·¡KKM[?\$QZEN.DLZKM\$Q4FCEZIJ4SZEQ4KMDLS.[?CEN.DLRNOKDLZECEHQU\?H$JLKMN.µN.R?e? uR$GQQ4bjGKMN.eLR$J4SbQ4KMCEN.UJ4CEN.DLRNOKw$JLKMQ4[?\$DLRDLR?S.TlLoKEJ4U\?S.Q4K/\$QZYKMT?KMCEQUÄ\$QZEN.DGb cS.CEH?DL[?eLH%R?DLC\?ZEQ4KMQRGCES.TN.S.S.[$KMCEZIJ4CEQ4bjwR?DLRqs\$J4ZIJ4UQCEZENOFUQCEH?DG?KH$Jg2QKMQZEN.DL[$K G0N F[?S.CMTN.RKM[$FIHJKMQCECEN.R?e?j$JLKCEH?Q[$KMQD_^iJ¨IKMH?DLZECI©YN.R$GD4¹S.Q4JL?KwCEDZEQ4G[$FQ4 JLFF[?ZIJLFTJ4R$ZEQ4KMDLS.[?CEN.DLRjbYH?QZEQ4JLKCEH$J4CD_^¬J-¨ES.DLR?e2©DLR?QCEDZEQ4G[$FQ4CEZIJLFI«GN.R?e J4?N.S.N.CMT2 Å?DLZ(CEH?Q ckZEQ\?ZEQ4KMQRGCIJ4CEN.DLRD_^¬CEH?QKMN.eLR$J4Suj8J¨ES.DLR?e2© ck(VulLª2Ws¢¤£G¥UDGGQS/YJLK [$KMQ4b> QT2DLR$N.CIKYH?Q4JgGTD4g2QZ§qs\$J4ZIJ4UQCEZEN.µ4J4CEN.DLRjGCEH?NOKYUDGGQSNOK¨IJY«GYJ4ZI?© ^DLZ Frequency (Hz) Frequency (Hz) 0.92 0.9 0.88 0.86 0.84 0 5 Time (sec) 10 3.8 3.7 3.6 3.5 0 5 Time (sec) 10 5 Time (sec) 10 0.08 Damping Damping 0.04 3.9 0.02 0 0.06 0.04 0 5 Time (sec) 10 0 Å8N.eL[?ZEQ 2t N.UQqsgLJ4ZETGN.R?eR$J4CE[?ZIJ4Si^ZEQ4³2[?QR$FN.Q4KYJ4R$-?J4U\?N.R?eZIJ4CEN.D2KD_^¬CEH?QgGN.?ZIJ4CEN.DLR KMN.eLR$J4SwV twCEH?QDLZEQCENOFJ4Suj qwq/q¤twQ4KMCEN.UJ4CEQ4$WI J4R$J4S.T?KMNOKj ^sJ4[?S.CGQCEQ4FCEN.DLR-J4R$FDLRGCEZEDLSuj8J4R$SOJLFI«?KCEH?QGN.ZEQ4FC\?HGT?KMNOFJ4SKMN.eLR?N?q FJ4R$FQD_^iN.CIKUN.GQ4 ckPcmFDL[?RGCEQZE\$J4ZEC !@Y!!!( QS.SOJ4R?eLQZjLP X.jG¼½Lª2j >2; @ F K ;2=?> =?; =?; j2PJ4ZIFQS ] Q«G«2QZj ¸ Q "wDLZE«b QRPZIJLbjLk(.j4Å$JLKEKMDLNOKjGB$ ] J4R$2 =$QgGN.CECj ?¡c.jL¼½L½LªGj¨Ich8DLS.TGR?DLUNOJ4SqcS.eLQ?ZIJ4NOF PQCEH?DGº^DLZ ¸ DLRq§B2CIJ4CEN.DLR$J4ZET ckPcÆB2N.eLR$J4ScR$J4S.T?KMNOKt-h/J4ZECIK J4R$, Ij¡© =?; ! = Lj?nLoGVE¼4WIj$\?\Y¼ qÉLªG »wDLH?QRj&=8.j¼½L½LoGj 7 = =?; j$h/ZEQRGCENOFQq¿J4S.Sbh k( Å?DL[$KM«GN.CIJ4«GNOKj2X ¸ .j4BGJ4«2QS.SOJ4ZEN.DL[j ? 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