材料力学第3章 扭转1课件

1、Mechanics of Materials Chapter 3 Torsion 从动轮从动轮主动轮主动轮从动轮从动轮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 变形几何关系变形几何关系物理关系物理关系静力关系静力关系 观察变形观察变形 提出假设提出假设变形的分布规律变形的分布规律应力的分布规律应力的分布规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实实222mm5774)7176( 空空A03. 35771749 空空实实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为了使为了使 与与 下降，有两条途径。下降，有两条途径。max max 使使Tmax降低。降低。(通过调整主动轮的位置通过调整主动轮的位置)提高提高Wt 和和 IP。(b)(b)采用空心轴。采用空心轴。(a)(a)加大直径；加大直径； 若若d2dd2d，则，则 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.