材料力學第3章 扭轉(zhuǎn)1課件

1、Mechanics of Materials Chapter 3 Torsion 從動輪從動輪主動輪主動輪從動輪從動輪m)(N9549 nPMem)(N7024 nPMsee2e1e3e0 xMeMT eeMexnnMeMexMexnPM9549e mN6379mN4780mN159004e3e2e1e MMMM 0023e2e TMMMx mN95603e2e2 MMTmN47802e1 MTxMe2Me3T2Me21T33Me4Me1Me3Me2mN63704e3 MTmN9560max T0101rt dxxMeMedx ABDC TtrrArrAAA )2(dd trT 22 dA 0

2、 yF2、 00 xzFMyzxd)dd( l lr TO TO lrtrT 22 G )1(2 EG 變形幾何關(guān)系變形幾何關(guān)系物理關(guān)系物理關(guān)系靜力關(guān)系靜力關(guān)系 觀察變形觀察變形 提出假設提出假設變形的分布規(guī)律變形的分布規(guī)律應力的分布規(guī)律應力的分布規(guī)律建立公式建立公式deformationgeometricrelation Distribution regularity of deformationDistribution regularity of stressEstablish the formulaExamine the deformationthen propose the hypot

3、hesis physicalrelationstaticrelationabb12xEGGGddtg TTADGDG) G xGGdd abATTDbdD12GG TAA d TAxGA dddTAxGA ddd2 p2dIAA pddGITx PIT xGGdd max tmaxppmaxmaxWTITIT maxpt IW PIT dO AAId2p maxPt IW )d(2d A32d2d42032pdAIdA 162/32/34maxptdddIW dODdd32)1(44p DI)1(1643t DW其中其中Dd M1M2ABCllM1M2ABCll1M2CT12M2CM1BT2

4、4kNm2kNm+_T maxtmaxmaxWT M1M2ABCllMPa5 .34)1(1643max DT maxtmaxmax WTtmax WTmax TA max AT ABCMAMBMC22 14 +_MPa84.6416/ )12. 0(102216/33311t11max1 dTWTMPa3 .7116/ )1 . 0(101416/333222t2max2 dTWTDdtMMmkN98. 1 MT 934. 02 DtDDd MPa1 .96tmaxmax WT3543tm1006. 216)1( DWDdtMMMPa1 .9616/3maxmax dT 22mm17494

5、dA實實222mm5774)7176( 空空A03. 35771749 空空實實AAT max maxT max max (pddGITx xGITllddp PGITl m)rad(PGITl max m)rad(Pmaxmax GITDdtMM934. 02 DtDDd 4544Pmm1083. 732)1( DIm/81. 1180Pmaxmax GITmkN98. 1 MTDdtMMD+M2M3M1180)2(pp GIMaGIMamkN292 M 33. 2180)23(ppGIaMGIaMCBBACA D+M2M3MMPa7 .693ttmaxmax WMWT CMabABlACB

6、MMAMB00 MMMMBAxCMabABl0 CBACAB PP1GIaMGIaTAAC PP2GIbMGIbTBBC baMMAB 0 MMMBAlMaMlMbMBA/ ，ablACBMMAMB+MAMBTWTmaxtmax TmaxPmax GI為了使為了使 與與 下降，有兩條途徑。下降，有兩條途徑。max max 使使Tmax降低。降低。(通過調(diào)整主動輪的位置通過調(diào)整主動輪的位置)提高提高Wt 和和 IP。(b)(b)采用空心軸。采用空心軸。(a)(a)加大直徑；加大直徑； 若若d2dd2d，則，則 Wt 8Wt IP 16IPMMlABMMMMx ba0BA PbbbPaaaIGlM

7、IGlMBA MMMlABMaMbbpbbpaaaMIGIGM PbbPaaPaaaIGIGIGM PbbPaaPbbbIGIGIGM MbMaMBA MMlAB(a )PRdF(a)RdPPQT(b)FSTFPF33tmax816/2/dFDdFDWT 2SFDTFF 33max88)615. 04414(dFDkdFDccc ccckdDc615. 04414, max (a)RdPPQT(b)FSTFPFp22GIlTv 2FDT Dnl 4324GdnDFv O FW21 432421GdnDFF 4343648GdnFRGdnFD nRGdnDGdc3434648 令令cF 得得N2

8、510)105 .59(64)1014)(1080)(1055(643439334 nRGdF 5 . 81014)105 .59(2233 dRdDcMPa325Pa10325)1014(1025 .592510(817. 186333max dFDk .bhT 3tIhb maxmax tmaxWT tGITl max 2thbW h/b1.01.21.52.02.53.04.06.08.010.00.2080.2190.2310.2460.2560.2670.2820.2990.3070.3130.3330.1410.1660.1960.2290.2490.2630.2810.2990.3070.3130.3331.0000.9300.8580.7960.7670.7530.7450.7430.7430.7430.7433tIhb max tmaxWT tGITl 2thbW hTmaxmax 3t31 hI 2t31 hW bbd )(1.542 b.d3821 321max892)(bT.hbT 3t2max93. 1WT)(bT 497. 1)()(2max1max bd382.