第8章 动力学普遍定理

1、m/skgiim vpCiimmrr Ciimmvv Cmvp aFmFvtmd)(dtmd)(dFv t dFt ddFI ttd0 FIsNtmd)(dFv Ivv0mmt eiF iiF tttmiiiiiddd)(dieFFFv ttmiiiidd)(dieFFv 0ditiF eddiIp edditFp e0itIpp eeeddddddizziyyixxFtpFtpFtp e0e0e0izztziyytyixxtxIppIppIpp恒量xtxpp0 0eixFaabb110aabbpppptqmddVVqabtqvvppdV0 ttqbaabddVFFFPvvFFFPvvbaab

2、qVFF FF 0FFFPbaabqvvF VbbaavAvAqVvrvMmmO)(xym )( v)( vmMz)()(vvMmMmzzOs/mkg2 zzOLL)(iiOOmvML)(iizzmMLv)()()()(rrriiiCCiiiiiCiiiCiiiiiOmmmmmmvrrvrvrvrvvrvrLCCCOmLvrLCiimmrr 0rrCiimmvviiiCmrvrL)()()()(rrriiiCCiiiiiCiiiCiiiiiOmmmmmmvrrvrvrvrvvrvrLCzCzzLmML)( v0rCiiCiiiiiCmmmvrvrvrLCCOmvrLCzCzzLmML)( vC

3、CziiiiiizzJrmrmmML)()(22rv2iizrmJCCzCzzJmML)( v)()(2CCzCzCzzJmrJmMLvzzCJJmrC2zzJL )( vMmO)(dddd)(dd)(ddvrvrvrvMmtmtmtmtOFv )(ddmtvrt ddFrvM)(ddmtO)()(dd)()(dd)()(ddFvFvFvzzyyxxMmMtMmMtMmMt2. 质点系的动量矩定理)()()(dd(i)(e)iOiOiiOmtFMFMvM)()()(dd(i)(e)iOiOiiOmtFMFMvM0)(i)iOFM)()(dd(e)iOiiOmtFMvM)(dd(e)iOOtFM

4、L)(dd)(dd)(dd(e)(e)(e)izziyyixxMLtMLtMLtFFFtoiOtt d)(e)0FMLLtoiOt d)(e)FM(e)iFtizztztiyytytixxtxtMLLtMLLtMLL0(e)00(e)00(e)0d)(d)(d)(FFF恒矢量)( vMmO恒量)( vmMz恒矢量OL恒量zL0002012 2maamaLz021sin2lamLz21zzLL022sinlaa011JL 12112JJL02111JJJtMftMJf120 tJJJJtJM)(2102112f221mv)21(2iivmTe221TmvCr2r21Tvmii2r22121iiC

5、vmmvTreaTTT221CmvT 222)(21)(21iiiirmrmTziiJrm2221zJT 222121CzCJmvT221PJT rF ddW iiiWWrF dddBAABWrF d BAzyxABzFyFxFW)ddd(ABBABBBABBBAAiWrFrrFrrFrFrFd)d()dd(dddABABABrrrddd/d)dd(ddABBABABBABBirFWrrFrF0ll kF)(21222112kW),(111iiizyx),(222iiizyx)(d2112iiiBiAiiizzgmzgmW),(CCCzyx)(2112CCzzmgWtWdddvFrF CCii

6、iitWrFrFvFrFdddddRdd)(d)(ddziziziMMtMWWFF21d12zMWdddRCzCMWrF00)ddd(dMMzyxMMzFyFxFVrF)(d00zzmgzmgVzz)(2202kV22kV 02010,nzzznzzz,21)(0iiizzgmV)(0CCzzmgV201210WWW110VW220VW2112VVWvF PzzMtMtWPddddWmvd)21d(21221222121WmvmviWTddiiPtWtTdddd无用有用输入PPPtTdd无用有用输入PPtTPdd121212WWTTi2211VTVT1vmghmv02121ghv212max0

7、21k2maxmax2121210kmgmvkmghgmkkmg2122maxsgmRMsgmMW)sin(sin2121201T22222112212121CCJvmJT2111RmJ 22221RmJC11RvC22RvC2122324mmvTC1212WTTsgmRMmmvC)sin(0324212122111232sin2mmRsgRmMvC1211232msin2RmgRmMaCRvtsvdd2222212121vRJmJmvTmgvksviPtTdd系统中只有物块的重力与弹簧力作功，重力功率为ksvmgvtvvRJmtTdddd2ksmgtsRJm222dd00kmg xs0kxkxkmgtxRJm0222dd0dd222kxtxRJmkmgst2.45kN mgF01VststmgkVmax22max222121mvT 02Tststmgkmvmax22max220021ststmgkmvmax22max220021mgkst0222max2maxstststgvststgv2max1maxstmkgvmggvkkFstst112maxmaxkN9 .166.9kN45. 2250kgN/m1035. 3m/s8 . 9m/s5 . 01kN45. 262maxFkW62. 1%30输入无用PP无用