.MCAD 308000000 [  docDocumentLmcObjectZ "d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & & &&& dim_formatSmasslengthtimecharge temperature luminosity substance`NumericalFormatPdjj shpRectU gmcDocumentObjectState[ mcPageModelJ????mcHeaderFooterH@H CHeaderFooterI@I@I@IMbP?MbP? TextState> TextStyle=@ Arial128,0,0Serial_ParPropDefaultV?Normalfont_style_listN font_styleO  VariablesTimes New Roman@O  ConstantsTimes New Roman@O TextArial@O Greek VariablesSymbol@O User^1 MS Sans Serif@O User^2Courier@O User^3System@O User^4Script@O User^5Terminal@O User^6Modern@O User^7MS Serif@O SymbolsSymbol@O Current Selection FontArial@O Undefined Font@O H&H&HeaderArial@O H&H&FooterArial@O Rotated Math FontTimes New RomanLockC docRegionFshpBoxTK ZFNSat Feb 09 8:25:59 PM 2008 TextRegion*@T H CharacterMap-RangeMap:@LDriver in an Open Ended Transmission Line - Acoustic and Electrical Response ChrPropMap6L  RangeElem;L  ChrPropData7 RangeData<d Arial128,0,0 ParPropMap8L ;L  ParPropData9@V,EmbedMap0 ;LinkMap.L;LLinkData/@NormalArial *@T8 c88++-2/09/086;7mArial128,0,08;9@V0;.;/@NormalArial *@T+N;8`>>- Software : 6 8 ; 9@V0;. ; /@NormalArial *@T`+K`8 -0by Martin J. King e-mail MJKing57@aol.com6080; 9@V?!;"9@V?!!0#;.0$;0%/@NormalArial &*@T`[k`hX::-6Copyright 2008 by Martin J. King. All Rights Reserved.6686';6(9@V0);.6*;6+/@NormalArial ,*@T{bH`RR-:Line Configuration : Driver at Closed End -> Far End Open6:8:-;:.9@V?0/;.:0;:1/@NormalArial 2*@T-Unit and Constant Definition63;472eArial128,0,085;69@V,07;.8;9/@NormalArial :eqRegionA@Tl<;tree ? p?@@?t?2@A??\p@B?>rad@C@A@Tz.@D? p@E? @D@F?d@EHz@G?@E@H?d@Gcycle@I?@G@J?d@Isec@K?K@I@L?@K1@M*@T`HH- Air Density :6 @N; @O7@M128,0,08 @P; @Q9@V,0@R;. @S; @T/@NormalArial @U@A@T@V? p@W? @V@X?d@W\r@Y?@W@Z?@@Y@[?t@Z1.21@\?@Zkg@]?@Y@^?d@]m@_?K@]@`?@_3@a*@T|# Mdd-Speed of Sound :6@b;@c7@a128,0,08@d;@e9@V,0@f;.@g;@h/@NormalArial @i@A@T % @j? p@k? @j@l?d@kc@m?@k@n?@@m@o?t@n342@p?@nm@q?@m@r?d@qsec@s?K@q@t?@s1@u@C@T+K7 8ZFNSat Feb 09 8:25:59 PM 2008@v*@TK#[X[`-,Part 1 : Thiele-Small Consistent Calculation6,@w;,@x7@veArial128,0,08,@y;,@z9@V0@{;.,@|;,@}/@NormalArial @~*@Tsf\VVV-@^Detailed User Input (Edit This Section and Input the Parameters for the System to be Analyzed)6^@;@7@~eArial128,0,0@;J@7@~eArial128,0,0@@@8^@;^@9@V0@;.^@;^@/@NormalArial @*@Tz]jj-Series Resistance68@;@9@V0@;.@;@/@NormalArial @*@TY00-@In this Sample Problem, the driver properties are locked but the transmission line geometry can be changed and new results are calculated. This gives the new user a peak at the design process.6@;@7@}0,0,255@;@7@}0,0,255@@;@7@eArial0,0,255@@;@7@}0,0,255@@@8@;@9@V0@;.@;@/@NormalArial @@A@Tb9^@? p@? @@?d@R.add@?@@?t@0.0@?@\W@@C@TK ZFNThu Feb 14 8:51:04 PM 2008@*@Tb_RRR-@UDriver Thiele / Small Parameters : Focal 8V 4412 Average Driver in Final TL Enclosure6U@;U@7@gArial128,0,08U@;U@9@V,0@;.U@;U@/@NormalArial @@A@T[*`@? p@? @@?d@f.d@?@@?t@33.7@?@Hz@@A@T:a@? p@? @@?d@V.ad@?@@?t@66.9@?@liter@*@T bII- Adjustments6 8 @; @9@V0@;. @; @/@NormalArial @@A@T#V8-0c@? p@? @@?d@R.e@?@@?t@7.7@?@\W@@A@T$#80d@? p@? @@?d@Q.ed@?@0.44@@A@T$80e@? p@? @@?d@R.e@?@@?d@R.e@?@R.add@@A@TDaX2Pf@? p@? @@?d@L.vc@?@@?t@0.9@?@mH@@A@TD'XPg@? p@? @@?d@Q.md@?@2.57@@A@T<^XPh@? p@? @@?d@Q.ed@?@@?@@@?d@Q.ed@?@R.e@?@@?p@@@?@@?d@R.e@?@R.add@?K@@?@1@@A@Tct+xi@? p@? @@?d@Bl@?@@?t@9.2@?@@?d@newton@?@amp@@A@T[qxj@? p@? @@?d@Q.td@?@@?p@@@?@@?@@@?t@1A?@Q.edA?@A?tA1A?AQ.mdA?K@A?A1A@A@Tk-A? pA? AA ?dAS.dA ?AA ?tA 221.7A ?A A ?dA cmA?A 2A@A@T.A? pA?AA?dAQ.tdA?AA?+@ASerial_DisplayNodeWA?AA@C@TK ZFNThu Feb 14 8:51:04 PM 2008A*@TI`-Enclosure Geometry Definition6A;A7AmArial128,0,08A;A9@V0A;.A;A/@NormalArial A@A@T`'JA ? pA!? A A"?dA!LA#?A!A$?tA#76.313A%?A#inA&*@Tq//-(Length)68A';A(9@V0A);.A*;A+/@NormalArial A,@A@TN-LA-? pA.? A-A/?dA.S.0A0?A.A1?tA03A2?A0S.dA3*@Tnr-(Area of the Driver End)68A4;A59@V0A6;.A7;A8/@NormalArial A9@A@T$O8.0NA:? pA;? A:A?tA=3A??A=S.dA@*@T#m30s-(Area of the Open End)68AA;AB9@V0AC;.AD;AE/@NormalArial AF@A@T<UJPPAG? pAH? AGAI?dAHDensityAJ?AHAK?@AJAL?tAK0.4875AM?AKlbAN?AJAO?dANftAP?KANAQ?AP3AR*@T?SPt-,(Stuffing density : 0 lb/ft3 < D < 1 lb/ft3)6+,AS;AT7ARAU;AV7AR_ASAW;AX7ARAUAY;AZ7AR_AWA[;A\7ARAYA[AU8,A];,A^9@V,0A_;.,A`;,Aa/@NormalArial Ab@A@TdmuApAc? pAd? AcAe?dAdPowerAf?AdAg?tAf1Ah?AfwattAi*@Tcsp}  -.(Input Power) Applied Voltage Reference --->6.8.Aj;.Ak9@V0Al;..Am;.An/@NormalArial Ao@A@Tc>xp~Ap? pAq? ApAr?dAqR.refAs?AqAt?tAs8Au?As\WAv*@T`-End of Abbreviated User Input6Aw;Ax7AvmArial128,0,08Ay;Az9@V0A{;.A|;A}/@NormalArial A~ PageBreakD@T@A*@TcSSS-@^Pre Formated Geometry and Stuffing Location Input (Only Edit Details Below to Change Defaults)622^A;2A7AeArial128,0,0A;,A7AeArial128,0,0AAA8^A;^A9@V0A;.^A;^A/@NormalArial A*@T `-Transmission Line Definition6A;A7AmArial128,0,08A;A9@V0A;.A;A/@NormalArial A*@TU!}}-(0 lb/ft3 < D < 1 lb/ft3)6A;A7AA;A7A_AA;A7AAA;A7A_AA;A7AAAA8A;A9@V,0A;.A;A/@NormalArial A@A@T aQA? pA? AA?dAn_openA?A4A*@T!"II- (n_open > 1)6 8 A; A9@V0A;. A; A/@NormalArial A*@T# `rr-Geometry Definition68A;A9@V0A;.A;A/@NormalArial A@A@T ,H9@]A? pA? AA?dATRA?AA?p@AA?AA?dAS.LA?AS.0A?AA?dALA?KAA?A1A@A@T4'E@#A? pA?AA?dATRA?AA?+@A@WA?AA*@T[khA -Open End of Transmission Line68A;A9@V0A;.A;A/@NormalArial A*@T[Vkh~~-(Driver ---> Open End)68A;A9@V0A;.A;A/@NormalArial A*@T {w /PWW-Section Length68A;A9@V0A;.A;A/@NormalArial A*@T{0==- Initial Area6 8 A; A9@V0A;. A; A/@NormalArial A*@TX{X1@;;- Final Area6 8 A; A9@V0A;. A; A/@NormalArial A*@T{S2[[-Stuffing Density68A;A9@V0A;.A;A/@NormalArial A@A@T :|A? pA? AA?@AA?dAL.oA?A0A?AA?dALA?AA?p@AA?AA?dAn_openA?A1A?KAA?A1A@A@T}A? pA? AA?@AA?dAS.oA? AA?tA0B?A0B?AS.0B@A@TX|B? pB? BB?@BB?dBS.oB? BB?tB0B ?B1B ?BB ?@B B ?dB S.oB ? B B?tB 0B?B 0B?B B?dBTRB?BB?dBL.oB?B0B@A@THB? pB? BB?@BB?dBD.oB?B0B?BDensityB@A@T :B? pB? BB?@BB ?dBL.oB!?B1B"?BB#?dB"LB$?B"B%?p@B$B&?B%B'?dB&n_openB(?B&1B)?KB$B*?B)1B+@A@T"B,? pB-? B,B.?@B-B/?dB.S.oB0? B.B1?tB01B2?B00B3?B-B4?dB3S.oB5? B3B6?tB50B7?B51B8@A@TX|B9? pB:? B9B;?@B:B?tB=1B??B=1B@?B:BA?@B@BB?dBAS.oBC? BABD?tBC1BE?BC0BF?B@BG?dBFTRBH?BFBI?dBHL.oBJ?BH1BK@A@THBL? pBM? BLBN?@BMBO?dBND.oBP?BN1BQ?BMDensityBR@A@T :BS? pBT? BSBU?@BTBV?dBUL.oBW?BU2BX?BTBY?dBXLBZ?BXB[?p@BZB\?B[B]?dB\n_openB^?B\1B_?KBZB`?B_1Ba@A@T"Bb? pBc? BbBd?@BcBe?dBdS.oBf? BdBg?tBf2Bh?Bf0Bi?BcBj?dBiS.oBk? BiBl?tBk1Bm?Bk1Bn@A@TX|Bo? pBp? BoBq?@BpBr?dBqS.oBs? BqBt?tBs2Bu?Bs1Bv?BpBw?@BvBx?dBwS.oBy? BwBz?tBy2B{?By0B|?BvB}?dB|TRB~?B|B?dB~L.oB?B~2B@A@THB? pB? BB?@BB?dBD.oB?B2B?BDensityB@A@T :B? pB? BB?@BB?dBL.oB?B3B?BB?dBLB?BB?p@BB?BB?dBn_openB?B1B?KBB?B1B@A@T"B? pB? BB?@BB?dBS.oB? BB?tB3B?B0B?BB?dBS.oB? BB?tB2B?B1B@A@TX|B? pB? BB?@BB?dBS.oB? BB?tB3B?B1B?BB?@BB?dBS.oB? BB?tB3B?B0B?BB?dBTRB?BB?dBL.oB?B3B@A@THB? pB? BB?@BB?dBD.oB?B3B?BDensityB@A@T 5:(B? pB? BB?@BB?dBL.oB?B4B?BB?dBLB?BB?p@BB?BB?dBn_openB?B1B?KBB?B1B@A@T"5(B? pB? BB?@BB?dBS.oB? BB?tB4B?B0B?BB?dBS.oB? BB?tB3B?B1B@A@TX5|(B? pB? BB?@BB?dBS.oB? BB?tB4B?B1B?BB?@BB?dBS.oB? BB?tB4B?B0B?BB?dBTRB?BB?dBL.oB?B4B@A@TH5(B? pB? BB?@BB?dBD.oB?B4B?BDensityB*@TCSP*X-%Total Length of the Transmission Line6%8%B;%B9@V0B;.%B;%B/@NormalArial B@A@TbW(B? pB?BB?@@BB?@BB?tB0C?Bn_openC?BC?dCiC?CC?dCL.oC?CiC?BC?+@C@WC?CinC *@T}`-Total Amount of Stuffing68C ;C 9@V0C ;.C ;C/@NormalArial C@A@TC? pC?CC?@@CC?@CC?tC0C?Cn_openC?CC?dCrC?pCC?CC?@CC?@CC?p@CC?CC?@CC?dCS.oC ? CC!?dC rC"?C 0C#?CC$?dC#S.oC%? C#C&?dC%rC'?C%1C(?C2C)?CC*?dC)L.oC+?C)rC,?CC-?dC,D.oC.?C,rC/?CC0?+@C/@WC1?C/lbC2*@T# `-End of Detailed Input6C3;C47C2mArial128,0,08C5;C69@V0C7;.C8;C9/@NormalArial C:*@T3C@`uu-End of Part 1 Input6C;;C<7C:mArial128,0,08C=;C>9@V0C?;.C@;CA/@NormalArial CB CollapseBarB@TXKdX@L CC@Smasslengthtimecurrent temperature luminosity substance@Pdii @U@[>@N@O  VariablesTimes New Roman@O  ConstantsTimes New Roman@O TextArial@O Greek VariablesSymbol@O User 1Arial@O User 2 Courier New@O User 3Arial@O User 4Times New Roman@O User 5Times New Roman@O User 6Arial@O User 7Times New Roman@O SymbolsSymbol@O Current Selection FontArial@O Undefined Font@O HeaderArial@O FooterArial@O Rotated Math FontTimes New RomanUCD@C@TK CE*@Tz-*jj-Series Resistance68CF;CG9@V0CH;.CI;CJ/@NormalArial CK@A@T=bR9JCL? pCM? CLCN?dCMR.addCO?CMCP?tCO0.0CQ?CO\WCR*@TeburRRR-@UDriver Thiele / Small Parameters : Focal 8V 4412 Average Driver in Final TL Enclosure6UCS;UCT7CRgArial128,0,08UCU;UCV9@V,0CW;.UCX;UCY/@NormalArial CZ@A@T[*C[? pC\? C[C]?dC\f.dC^?C\C_?tC^33.7C`?C^HzCa@A@T:Cb? pCc? CbCd?dCcV.adCe?CcCf?tCe66.9Cg?CeliterCh*@T II- Adjustments6 8 Ci; Cj9@V0Ck;. Cl; Cm/@NormalArial Cn@A@TV-Co? pCp? CoCq?dCpR.eCr?CpCs?tCr7.7Ct?Cr\WCu@A@T#Cv? pCw? CvCx?dCwQ.edCy?Cw0.44Cz@A@TC{? pC|? C{C}?dC|R.eC~?C|C?dC~R.eC?C~R.addC@A@Ta2C? pC? CC?dCL.vcC?CC?tC0.9C?CmHC@A@T'C? pC? CC?dCQ.mdC?C2.57C@A@T^C? pC? CC?dCQ.edC?CC?@CC?dCQ.edC?CR.eC?CC?p@CC?CC?dCR.eC?CR.addC?KCC?C1C@A@Tt +C? pC? CC?dCBlC?CC?tC9.2C?CC?dCnewtonC?CampC@A@Tq C? pC? CC?dCQ.tdC?CC?p@CC?CC?@CC?tC1C?CQ.edC?CC?tC1C?CQ.mdC?KCC?C1C@A@Tk*-"C? pC? CC?dCS.dC?CC?tC221.7C?CC?dCcmC?C2C@A@T.*"C? pC?CC?dCQ.tdC?CC?+@C@WC?CC@D@T;@C;FC*@TFVSh-&Set-up Counters for Numerical Analysis6&C;&C7CeArial128,0,08&C;&C9@V?0C;.&C;&C/@NormalArial C@A@T _Nx2s C? pC? CC?dCNC?CC?tC2C?C11C@A@Tg"xs C? pC?CC?dCNC?CC?+@C@WC?C _n_u_l_l_J`C*@T\  LL- Time Domain6 8 C; C9@V?0C;. C; C/@NormalArial C@A@T< C? pC? CC?dCnC?CC? @CC?tC0C?C1C?CC?dCNC?C1C@A@T iC C? pC? CC?dCT.maxC?CC?tC1C?CsecC@A@T> C? pC? CC?dCdtC?CC?dCT.maxC?CC?dCNC?KCC?C1C*@T}(mm-Frequency Domain68C;C9@V?0D;.D;D/@NormalArial D@A@T o, D? pD? DD?dDrD?DD? @DD ?tD1D ?D2D ?DD ?tD 0.5D ?D ND@A@T9 D? pD? DD?dDsD?DD? @DD?tD0D?D1D?DD?tD0.5D?DND@A@T #7 D? pD? DD?dDd\wD?DD?dDcycleD?DD ?dDT.maxD!?KDD"?D!1D#@A@T&  D$? pD%?D$D&?dD%d\wD'?D%D(?+@D'@WD)?D'Hz1J`D*@D@T+@3+ D+*@T6FCH-@ICalculate Acoustic Circuit Elements From Driver Thiele / Small Parameters6ID,;ID-7D+eArial128,0,08ID.;ID/9@V,0D0;.ID1;ID2/@NormalArial D3@A@TKZ{3cD4? pD5? D4D6?dD5C.adD7?D5D8?dD7V.adD9?D7D:?dD9\rD;?D9D@A@T`Fszc D?? pD@?D?DA?dD@C.adDB?D@DC?+@DB@WDD?DBDE?@DDDF?dDEmDG?DE5DH?DDnewton3J`DI@A@T~r7 DJ? pDK? DJDL?dDKM.adDM?DKDN?tDM1DO?DMDP?@DODQ?dDPf.dDR?DP2DS?DOC.adDT@A@T`~~! DU? pDV?DUDW?dDVM.adDX?DVDY?+@DX@WDZ?DXD[?dDZkgD\?DZD]?dD\mD^?D\43J`D_@A@T3"D`? pDa? D`Db?dDaR.adDc?DaDd?@DcDe?@DdDf?dDeBlDg?De2Dh?DdDi?dDhS.dDj?Dh2Dk?pDcDl?DkDm?dDlQ.edDn?DlDo?dDnR.eDp?DnQ.mdDq@A@T`z" Dr? pDs?DrDt?dDsR.adDu?DsDv?+@Du@WDw?DuDx?@DwDy?dDxnewtonDz?DxsecD{?DwD|?dD{mD}?D{53J`D~@A@T;$D? pD? DD?@DD?dDR.atdD?DsD?DD?dDR.adD?DD?@DD?dDBlD?D2D?DD?@DD?dDS.dD?D2D?pDD?DD?dDR.eD?DD?@DD?@DD?tD1jD?DsD?Dd\wD?DL.vcD@A@T`# D? pD?DD?{@DD?DD?dDR.atdD?D0D?DD?+@D@WD?DD?@DD?dDnewtonD?DsecD?DD?dDmD?D5D@D@T3@;3D*@T>NK:H-@HAcoustic Impedance Calculation for the Open End of the Transmission Line6HD;HD7DeArial128,0,08HD;HD9@V,0D;.HD;HD/@NormalArial D@A@T_jp'kB D? pD? DD?dDnD?DD?tD0D?Dn_openD*@T~! -Exponential Line Coefficient6D;D7DgArial128,0,08D;D9@V0D;.D;D/@NormalArial D@A@T," D? pD? DD?@DD?dD\gD?DnD?DD?@DD?dDlnD?pDD?DD?@DD?dDS.oD? DD?dDnD?D1D?DD?p@DD?DD?dDS.oD? DD?dDnD?D0D?KDD?D1D?DD?dDL.oD?DnD*@TH@-Viscous Damping Coefficient68D;D9@V,0D;.D;D/@NormalArial D@A@T<ID? pD? DD?dD\l.tubeD?DD?tD10D?DD?@DD?dDnewtonD?DsecD?DD?dDmD?D4D@A@TSC;JD? pD? DD?@DD?dD \l.fiberD?DnD?DD?@DD?@DD?@DD?dDD.oD?DnD?DD?@DD?dDftD?D3D?DlbE?D1570E?DE?@EE?dEnewtonE?EsecE?EE?dEmE?E4E@A@TVQBsKE ? pE ? E E ?@E E ?dE orderE ?E nE?E E?@EE?tE2E?EE?@EE?@EE?tE1E?E0.2E?pEE?EE?@EE?@EE?dED.oE?EnE?EE?@EE?dEftE?E3E ?ElbE!?E0.2E"?EE#?dE"\FE$?pE"E%?E$E&?@E%E'?@E&E(?dE'D.oE)?E'nE*?E&E+?@E*E,?dE+ftE-?E+3E.?E*lbE/?E%0.2E0?EE1?@E0E2?@E1E3?tE21E4?E20.2E5?pE1E6?E5E7?@E6E8?@E7E9?dE8D.oE:?E8nE;?E7E?E<3E??E;lbE@?E60.4EA?E0EB?dEA\FEC?pEAED?ECEE?@EDEF?@EEEG?dEFD.oEH?EFnEI?EEEJ?@EIEK?dEJftEL?EJ3EM?EIlbEN?ED0.4EO@A@T7LEP? pEQ? EPER?@EQES?dER\lET? EREU?dETnEV?ETrEW?EQEX?dEW\l.tubeEY?EWEZ?@EYE[?@EZE\?dE[ \l.fiberE]?E[nE^?EZE_?p@E^E`?E_Ea?@E`Eb?dEarEc?Ead\wEd?E`Ee?tEd50Ef?EdHzEg?E^Eh?dEgorderEi?EgnEj?EYEk?p@EjEl?EkEm?tEl1En?ElEo?p@EnEp?EoEq?@EpEr?dEqrEs?Eqd\wEt?EpEu?tEt50Ev?EtHzEw?EnEx?dEworderEy?EwnEz?KEjE{?Ez1E|*@TX-@ATerminus Impedance : Piston in an Infinite Baffle Impedance Model6A8AE};AE~9@V0E;.AE;AE/@NormalArial E@A@Ty- E? pE? EE?dEa.LE?{EE?EE?@EE?dES.oE? EE?dEn_openE?E1E?E\pE@A@T*w:[E? pE? EE?@EE?dEJ.1E?pEE?ExE?@EE?@EE?tE0E?E25E?EE?dEkE?pEE?EE?@EE?@EE?p@EE?KEE?E1E?EkE?EE?p@EE?EE?dExE?E2E?EE?@EE?tE2E?EkE?E1E?EE?@EE?dEkE?EE?dE\GE?pEE?EE?dEkE?E2E@A@T>E? pE? EE?@EE?dEH.1E?pEE?ExE?@EE?@EE?tE0E?E25E?EE?dEkE?pEE?EE?@EE?@EE?p@EE?KEE?E1E?EkE?EE?p@EE?EE?dExE?E2E?EE?@EE?tE2E?EkE?E2E?EE?@EE?dE\GE?pEE?EE?dEkE?EE?tE3E?E2E?EE?dE\GE?pEE?EE?dEkE?EE?tE5E?E2E@A@T8KE? pE? EE?@EE?dEZ.mouthE?ErE?EE?@EE?@EE?dE\rE?EcE?EE?dES.oE? EE?dEn_openE?E1E?pEE?EE?p@EE?EE?tE1E?EE?@EE?tE2E?EE?dEJ.1F?pEF?FF?@FF?tF2F?FF?@FF?dFrF?Fd\wF?FcF ?Fa.LF ?EF ?@F F ?tF 2F ?F F?@F F?dFrF?Fd\wF?F cF?F a.LF?EF?tF1jF?FF?@FF?tF2F?FF?dFH.1F?pFF?FF?@FF?tF2F?FF?@FF ?dFrF!?Fd\wF"?FcF#?Fa.LF$?FF%?@F$F&?tF%2F'?F%F(?@F'F)?dF(rF*?F(d\wF+?F'cF,?F$a.LF-@D@Tc@kcF.*@Tnl~{C X\\-Speed of Sound68F/;F09@V0F1;.F2;F3/@NormalArial F4@A@TH]F5? pF6? F5F7?dF6 D.pointsF8?pF6F9?0F8F:?0AF9F;?0AF:F?@F=F??F=1F@?F<0.573FA?F;0.382FB?F:0.191FC?F90.000FD@A@T=eFE? pFF? FEFG?dFF c.pointsFH?pFFFI?0FHFJ?0AFIFK?0AFJFL?0AFKFM?0AFLFN?@FMFO?FM319FP?FL320FQ?FK325FR?FJ335FS?FI342FT@A@TH_FU? pFV? FUFW?dFVsmoothFX?FVFY?dFXcsplineFZ?pFXF[? FZF\?@F[F]?dF\ D.pointsF^?F[F_?dF^ c.pointsF`@A@TaB`Fa? pFb? FaFc?@FbFd?dFcc.fiberFe?FcnFf?FbFg?@FfFh?dFginterpFi?pFgFj? FiFk? @FjFl? @FkFm?dFlsmoothFn?FlFo?dFn D.pointsFp?FkFq?dFp c.pointsFr?FjFs?@FrFt?dFsD.oFu?FsnFv?FrFw?@FvFx?dFwftFy?Fw3Fz?FvlbF{?FfF|?dF{mF}?F{secF~*@TND X>>- Exponents6 8 F; F9@V0F;. F; F/@NormalArial F@A@T.YS/C8 F? pF? FF?@FF?dF\aF?FnF?FF?@FF?tF1F?F2F?FF?dF\gF?FnF@A@TSF8s5F? pF? FF?@FF?dF\bF? FF?dFnF?FrF?FF?@FF?tF1F?F2F?pFF?{FF?FF?@FF?@FF?tF4F?FF?@FF?p@FF?FF?dFrF?Fd\wF?F2F?FF?p@FF?FF?dFc.fiberF?FnF?F2F?FF?dF4F?FF?@FF?5@FF?@FF?tF1jF?FF?dF\lF? FF?dFnF?FrF?FrF?Fd\wF?FF?dF\rF?FF?p@FF?FF?dFc.fiberF?FnF?F2F?FF?p@FF?FF?dF\gF?FnF?F2F*@T}J`mm-?G<nG??G/G@?dG?expGA?pG?GB?GAGC?@GBGD?tGC1jGE?GCGF?dGE\bGG? GEGH?dGGnGI?GGrGJ?GBGK?dGJL.oGL?GJnGM@A@T6VtC[EGN? pGO? GNGP?@GOGQ?dGPp.1LGR? GPGS?dGRnGT?GRrGU?GOGV?@GUGW?@GVGX?@GWGY?@GXGZ?K@GYG[?GZ2G\?GY\rG]?GXG^?p@G]G_?G^G`?dG_c.fiberGa?G_nGb?G]2Gc?GWGd?dGc\bGe? GcGf?dGenGg?GerGh?GVGi?dGhexpGj?pGhGk?GjGl?K@GkGm?GlGn?dGm\aGo?GmnGp?GkGq?dGpL.oGr?GpnGs?GUGt?@GsGu?dGtrGv?Gtd\wGw?pGsGx?GwGy?@GxGz?dGyexpG{?pGyG|?G{G}?@G|G~?K@G}G?G~1jG?G}G?dG\bG? GG?dGnG?GrG?G|G?dGL.oG?GnG?GxG?dGexpG?pGG?GG?@GG?tG1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGL.oG?GnG*@TG`-1Case 2 : Excitation at x = L : u(0) = 0, u(L) = 161G;1G7GmArial128,0,081G;1G9@V0G;.1G;1G/@NormalArial G@A@TICHG? pG? GG?@GG?dGp.2LG? GG?dGnG?GrG?GG?@GG?@GG?tG1jG?G\rG?GG?p@GG?GG?dGc.fiberG?GnG?G2G?GG?p@GG?GG?@GG?K@GG?pGG?GG?@GG?dG\aG?GnG?GG?tG1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGexpG?pGG?GG?@GG?tG1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGL.oG?GnG?GG?p@GG?GG?@GG?dG\aG?GnG?GG?tG1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGexpG?pGG?GG?@GG?K@GG?G1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGL.oG?GnG?GG?@GG?dGrG?Gd\wG?pGG?GG?@GG?dGexpG?pGG?GG?@GG?K@GG?G1jG?GG?dG\bG? GG?dGnG?GrG?GG?dGL.oH?GnH?GH?dHexpH?pHH?HH?@HH?tH1jH?HH?dH\bH ? HH ?dH nH ?H rH ?HH ?dH L.oH?H nH@A@TU$ B IH? pH? HH?@HH?dHp.20H? HH?dHnH?HrH?HH?@HH?@HH?@HH?@HH?tH2H?H\rH?HH?p@HH ?HH!?dH c.fiberH"?H nH#?H2H$?HH%?dH$\bH&? H$H'?dH&nH(?H&rH)?HH*?dH)expH+?pH)H,?H+H-?@H,H.?dH-\aH/?H-nH0?H,H1?dH0L.oH2?H0nH3?HH4?@H3H5?dH4rH6?H4d\wH7?pH3H8?H7H9?@H8H:?dH9expH;?pH9H?K@H=H??H>1jH@?H=HA?dH@\bHB? H@HC?dHBnHD?HBrHE?H@A@T  [ <; I?? pI@? I?IA?@I@IB?dIAZ.alIC?IArID?I@IE?@IDIF?@IEIG?dIFp.aoIH?IFrII?IEPaIJ?IDIK?@IJIL?@IKIM?dILU.aoIN?ILrIO?IKIP?dIOmIQ?IO3IR?IJIS?dIRsecIT?KIRIU?IT1IV@A@T f 2 IW? pIX? IWIY?@IXIZ?dIY\eI[?IYrI\?IXI]?@I\I^?@I]I_?dI^S.oI`? I^Ia?tI`0Ib?I`0Ic?I]Id?dIcS.oIe? IcIf?dIen_openIg?Ie1Ih?I\Ii?@IhIj?@IiIk?tIj1Il?IjIm?dIlmIn?Il3Io?IiIp?dIosecIq?KIoIr?Iq1Is?IhIt?@IsIu?@ItIv?dIuU.aoIw?IurIx?ItIy?dIxmIz?Ix3I{?IsI|?dI{secI}?KI{I~?I}1I@A@T O  I? pI?II?@II?@II?@II?vI32.811I?I1.970I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?{@II?II?dIZ.alI?IrI?II?dI\rI?II?dIc.fiberI?I1I?II?@II?@II?tI1000I?I1.000I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?@II?dIrI?Id\wI?II?dIHzI?KII?I1I : )O)OImpedance Magnitude&&&&&&&&&& & & & & &&&I@A@T U\  I? pI?II?@II?@II?@II?tI180I?KII?I180I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?@II?dIargI?pII?II?dIZ.alI?IrI?IdegI?II?@II?@II?tI1000I?I1.000I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?@II?dIrI?Id\wI?II?dIHzI?KII?I1I : )OFrequency (Hz))Impedance Phase (deg)&&&&&&&&&& & & & & &&&I@C@T K ZFNThu Feb 14 20:46:14 2008I@D@T}@}} I*@Ts Hcc-6Resulting Acoustic Impedance for the Transmission Line66I;6I7IeArial128,0,086I;6I9@V,0I;.6I;6I/@NormalArial I@A@TIf I? pI?II?@II?@II?@II?vI30.849I?I1.852I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?{@II?II?dIZ.alI?IrI?II?dI\rI?IcI?II?@II?@II?tI1000I?I1.000I?II?dI _n_u_l_l_I?I _n_u_l_l_I?II?@II?dIrI?Id\wI?II?dIHzI?KII?I1I : )O)OImpedance Magnitude&&&&&&&&&& & & & & &&&I@A@TeM.e(I? pI?II?@II?@II?@II?tI180I?KIJ?I180J?IJ?dJ _n_u_l_l_J?J _n_u_l_l_J?IJ?@JJ?dJargJ?pJJ?JJ ?dJZ.alJ ?JrJ ?JdegJ ?IJ ?@J J?@J J?tJ1000J?J1.000J?J J?dJ _n_u_l_l_J?J _n_u_l_l_J?J J?@JJ?dJrJ?Jd\wJ?JJ?dJHzJ?KJJ?J1J : )OFrequency (Hz))Impedance Phase (deg)&&&&&&&&&& & & & & &&&J*@T8:HE ***-@XVelocity at the Terminus of the Transmission Line for a 1 m/sec Excitation at the Driver6XJ;XJ7JmArial128,0,08XJ ;XJ!9@V,0J";.XJ#;XJ$/@NormalArial J%@A@T UQ U)J&? pJ'?J&J(?@J'J)?@J(J*?@J)J+?vJ*1.442J,?J*0.01J-?J)J.?dJ- _n_u_l_l_J/?J- _n_u_l_l_J0?{J(J1?J0J2?dJ1\eJ3?J1rJ4?J'J5?@J4J6?@J5J7?tJ61000J8?J61.000J9?J5J:?dJ9 _n_u_l_l_J;?J9 _n_u_l_l_J?dJ=rJ??J=d\wJ@?J@N@O  VariablesTimes New Roman@O  ConstantsTimes New Roman@O TextArial@O Greek VariablesSymbol@O User 1Arial@O User 2 Courier New@O User 3Arial@O User 4Times New Roman@O User 5Times New Roman@O User 6Arial@O User 7Times New Roman@O SymbolsSymbol@O Current Selection FontArial@O Undefined Font@O HeaderArial@O FooterArial@O Rotated Math FontTimes New Roman%Jl@C@TK Jm@D@T@Jn*@T +(f-@SFar Field Acoustic Response of the Offset Driver in the Sectioned Transmission Line6SJo;SJp7JneArial128,0,08SJq;SJr9@V,0Js;.SJt;SJu/@NormalArial Jv*@T;lKHgTT-Driver Radius :68Jw;Jx9@V0Jy;.Jz;J{/@NormalArial J|@A@T.YHhJ}? pJ~? J}J?dJ~a.dJ?{J~J?JJ?dJS.dJ?J\pJ*@Tk{xiii-Terminus Radius :68J;J9@V0J;.J;J/@NormalArial J@A@TYxjJ? pJ? JJ?dJa.LJ?{JJ?JJ?@JJ?dJS.oJ? JJ?dJn_openJ?J1J?J\pJ*@TkXnn-Response Radius :68J;J9@V0J;.J;J/@NormalArial J@A@TlJ? pJ? JJ?dJradiusJ?JJ?dJ1J?JmJ*@TAmX11-@^Calculate the System Response for a Voltage that Produces a 1 Watt Input into an 8 Ohm Driver.6^8^J;^J9@V0J;.^J;^J/@NormalArial J@A@T+J? pJ? JJ?dJe.gJ?{JJ?JJ?dJPowerJ?JR.refJ@A@Th,nJ? pJ? JJ?dJp.gJ?JJ?@JJ?dJe.gJ?JBlJ?JJ?dJS.dJ?pJJ?JR.eJ*@T  -and68J;J9@V0J;.J;J/@NormalArial J@A@T J? pJ? JJ?@JJ?dJkJ?JrJ?JJ?@JJ?dJrJ?Jd\wJ?JcJ@A@TqJ? pJ?JJ?@JJ?@JJ?dJe.gJ?J2J?JJ?tJ8J?J\WJ?JJ?+@J@WJ?JwattJ*@T5 x%%-(RMS)68J;J9@V0J;.J;J/@NormalArial J*@T+;8sXvv-Driver ("d" subscript)68J;J9@V0J;.J;J/@NormalArial J@A@T@H3XtJ? pJ? JJ?@JJ?dJU.dJ?JrJ?JJ?dJp.gJ?pJJ?JJ?@JJ?@JJ?@JJ?tJ1J?JJ?@JJ?@JJ?tJ1jJ?JrJ?Jd\wJ?JC.adJ?JJ?dJR.atdJ?JrJ?JK?@JK?@KK?tK1jK?KrK?Kd\wK?JM.adK?JK?dKZ.alK?KrK @A@TDeXuK ? pK ? K K ?@K K ?dK U.dK?K 0K?K K?@KK?tK0K?KK?dKmK?K3K?KK?dKsecK?KKK?K1K@A@T1wK? pK? KK?@KK?dKp.dK?KrK?KK ?@KK!?@K K"?dK!\rK#?K!cK$?K K%?@K$K&?dK%U.dK'?K%rK(?K$S.dK)?pKK*?K)K+?@K*K,?dK+expK-?pK+K.?5K-K/?@K.K0?K@K/K1?K01jK2?K/K3?dK2kK4?K2rK5?K.radiusK6?K*K7?dK6expK8?pK6K9?K8K:?@K9K;?K@K:K?dK=kK??K=rK@?{K9KA?K@KB?@KAKC?dKBradiusKD?KB2KE?KAKF?dKEa.dKG?KE2KH@A@TOxKI? pKJ? KIKK?@KJKL?dKKSPL.dKM?KKrKN?KJKO?tKN20KP?KNKQ?dKPlogKR?pKPKS?KRKT?{@KSKU?KTKV?dKUp.dKW?KUrKX?KSKY?@KXKZ?tKY2K[?KYK\?tK[10K]?KK[K^?K]5K_?KXPaK`*@TyX-Terminus ("L" subscript)68Ka;Kb9@V0Kc;.Kd;Ke/@NormalArial Kf@A@T4zKg? pKh? KgKi?@KhKj?dKiU.LKk?KirKl?KhKm?@KlKn?K@KmKo?KnKp?dKo\eKq?KorKr?KmKs?@KrKt?dKsS.oKu? KsKv?dKun_openKw?Ku1Kx?KrKy?dKxS.oKz? KxK{?tKz0K|?Kz0K}?KlK~?dK}U.dK?K}rK@A@T {K? pK? KK?@KK?dKU.LK?K0K?KK?@KK?tK0K?KK?dKmK?K3K?KK?dKsecK?KKK?K1K@A@TP28|K? pK? KK?@KK?dKp.LK?KrK?KK?@KK?@KK?dK\rK?KcK?KK?@KK?dKU.LK?KrK?KK?dKS.oK? KK?dKn_openK?K1K?pKK?KK?@KK?dKexpK?pKK?5KK?@KK?K@KK?K1jK?KK?dKkK?KrK?KradiusK?KK?dKexpK?pKK?KK?@KK?K@KK?K1jK?KK?dKkK?KrK?{KK?KK?@KK?dKradiusK?K2K?KK?dKa.LK?K2K@A@TPP8}K? pK? KK?@KK?dKSPL.LK?KrK?KK?tK20K?KK?dKlogK?pKK?KK?{@KK?KK?dKp.LK?KrK?KK?@KK?tK2K?KK?tK10K?KKK?K5K?KPaK*@T[kh~X-System ("o" subscript)68K;K9@V0K;.K;K/@NormalArial K@A@T|t3K? pK? KK?@KK?dKU.oK?KsK?KK?@KK?dKU.dK?KsK?KK?dKU.LK?KsK@A@Tn1K? pK? KK?@KK?dKp.oK?KrK?KK?@KK?dKp.dK?KrK?KK?dKp.LK?KrK@A@TOK? pK? KK?@KK?dKSPL.oL?KrL?KL?tL20L?LL?dLlogL?pLL?LL?{@LL?LL ?dLp.oL ?LrL ?LL ?@L L ?tL 2L?L L?tL10L?KLL?L5L?L PaL*@TUEE-5Acoustic Response of the Driver in an Infinite Baffle65L;5L7LeArial128,0,085L;5L9@V,0L;.5L;5L/@NormalArial L*@TXss-Driver (no subscript)68L;L9@V0L;.L;L /@NormalArial L!@A@T8-L"? pL#? L"L$?@L#L%?dL$UL&?L$rL'?L#L(?dL'p.gL)?pL'L*?L)L+?@L*L,?@L+L-?tL,1L.?L,L/?@L.L0?@L/L1?tL01jL2?L0rL3?L/d\wL4?L.C.adL5?L+L6?dL5R.atdL7?L5rL8?L*L9?@L8L:?@L9L;?tL:1jL?L8M.adL?@A@T L@? pLA? L@LB?@LALC?dLBULD?LB0LE?LALF?@LELG?tLF0LH?LFLI?dLHmLJ?LH3LK?LELL?dLKsecLM?KLKLN?LM1LO@A@T<k+XLP? pLQ? LPLR?@LQLS?dLRpLT?LRrLU?LQLV?@LULW?@LVLX?dLW\rLY?LWcLZ?LVL[?@LZL\?dL[UL]?L[rL^?LZS.dL_?pLUL`?L_La?@L`Lb?dLaexpLc?pLaLd?5LcLe?@LdLf?K@LeLg?Lf1jLh?LeLi?dLhkLj?LhrLk?LdradiusLl?L`Lm?dLlexpLn?pLlLo?LnLp?@LoLq?K@LpLr?Lq1jLs?LpLt?dLskLu?LsrLv?{LoLw?LvLx?@LwLy?dLxradiusLz?Lx2L{?LwL|?dL{a.dL}?L{2L~@A@T<IpXL? pL? LL?@LL?dLSPLL?LrL?LL?tL20L?LL?dLlogL?pLL?LL?{@LL?LL?dLpL?LrL?LL?@LL?tL2L?LL?tL10L?KLL?L5L?LPaL@C@TkKw xZFNThu Nov 08 19:56:49 2007L@D@T @  L*@T =0 - `---@UFar Field Transmission Line System and Infinite Baffle Sound Pressure Level Responses6UL;UL7LeArial128,0,08UL;UL9@V0L;.UL;UL/@NormalArial L@A@T5 b 5 L? pL?LL?@LL?@LL?@LL?tL180L?KLL?L180L?LL?dL _n_u_l_l_L?L1.0L? LL?@LL?@LL?dLargL?pLL?LL?dLp.oL?LrL?LdegL?LL?@LL?dLargL?pLL?LL?dLpL?LrL?LdegL?LL?@LL?@LL?tL1000L?L10L?LL?dL _n_u_l_l_L?L _n_u_l_l_L?LL?@LL?dLrL?Ld\wL?LL?dLHzL?KLL?L1L > )OFrequency (Hz)) Phase (deg)(Near Field Anechoic Sound Pressure Level&&&&&&&&&& & & & & &&&L@A@T c  L? pL?LL?@LL?@LL?@LL?tL100L?L60L?LL?dL _n_u_l_l_L?L1.0L? LL?@LL?dLSPL.oL?LrL?LL?dLSPLL?LrL?LL?@LL?@LL?tL1000L?L20L?LL?dL _n_u_l_l_L?L _n_u_l_l_L?LL?@LL?dLrL?Ld\wL?LL?dLHzL?KLL?L1L > )OFrequency (Hz))SPL (dB)(Near Field Anechoic Sound Pressure Level&&&&&&&&&& & & & & &&&L*@T   `- )OFrequency (Hz)) Phase (deg)(Near Field Anechoic Sound Pressure Level&&&&&&&&&& & & & & &&&M'@A@T d  M(? pM)?M(M*?@M)M+?@M*M,?@M+M-?tM,100M.?M,60M/?M+M0?dM/ _n_u_l_l_M1?M/1.0M2? 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OO?@OO?dO\fO?OqO?KOO?OO?@OO?@OO?dOp.angleO?OO?dOqO?O1O?OO?dOp.angleO?OO?dOqO?O1O?OO?tO2O?Od\wO@C@TK $ ZFNWed Mar 08 20:17:28 2006O@A@TcCO? pO?OO?@OO?@OO?@OO?tO360O?O0O?OO?@OO?OO?OO?@OO?dOp.angleO?OqO?OdegO?OO?@OO?@OO?tO1000O?O10O?OO?@OO?OO?OO?@OO?dOqO?Od\wO?OO?dOHzO?KOO?O1O = )OFrequency (Hz)) Phase (deg)Phase Angle of System Pressure&&&&&&&&&& & & & & &&&O@A@T0 g0 DO? pO?OO?@OO?@OO?@OO?tO0.05O?KOO?O0.01O?OO?@OP?OP?OP?@PP?dP\fP?PqP?PsecP?OP?@PP?@PP ?tP1000P ?P10P ?PP ?@P P ?P P?PP?@PP?dPqP?Pd\wP?PP?dPHzP?KPP?P1P = )OFrequency (Hz))System Group Delay&&&&&&&&&& & & & & &&&P*@T(%E`-?Terminus Air Velocity (should be < 10 m/sec / 342 m/sec = 0.03)6>?P;P7PmArial128,0,0P;%P7P}PP;P7PeArial128,0,0PP;P7P}PPP8?P ;?P!9@V0P";.?P#;?P$/@NormalArial P%@B@T=KI=@L2 2 P&@Smasslengthtimecharge temperature luminosity substance@Pdii @U@[>@N@O  VariablesTimes New Roman@O  ConstantsTimes New Roman@O TextArial@O Greek VariablesSymbol@O User 1Arial@O User 2 Courier New@O User 3Arial@O User 4Times New Roman@O User 5Times New Roman@O User 6Arial@O User 7Times New Roman@O SymbolsSymbol@O Current Selection FontArial@O Undefined Font@O HeaderArial@O FooterArial@O Rotated Math FontTimes New RomanP'@C@TK 0 P(@A@T +{cIH- P)? pP*? 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