03第三章 扭转

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 MTxMe2Me3T2Me21T133Me4Me1Me3Me2Me2mN47802e1 MTmN63704e3 MTmN9560max T0101rt dxxMeMedx ABDC TtrrArrAAA )

2、2(dd trT 22 0 yF2、 00 xzFMzyxd)dd( l lr 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

3、 the hypothesis physicalrelationstaticrelationabb12xEGGGddtg TTADGDG) G xGGdd abATTDbdD12GG TAA d TAxGA dddTAxGA ddd2 p2dIAA pddGITx PIT max tmaxppmaxmaxWTITIT maxpt IW 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 dTWT2max1max ll(a)(b)2t2max1t1maxWTWT dd2D22t1tWTWT 16)1(16432312t1t DdWW16)1(1643231 Dd194. 18 . 0113412 dD512

5、. 0)8 . 01(194. 1)1(4)(4222122221222212 dDddDAA (pddGITx xGITllddp PGITl m)rad(PGITl max m)rad(Pmaxmax GITD+M2M3M1180)2(pepe GIaMGIaMMPa7 .69tmaxmax WT mkN292e M 33. 2180)23(pepeGIaMGIaMCBBACA D+M2M3MDdtMM 934. 02 DtDDd mm1006. 22/4pt DIWMPa1 .96tmaxmax WT4544Pmm1083. 732)1( DIm/81. 1180Pmaxmax GITm

6、kN98. 1 MTDdtMM MPa1 .9616/3maxmax dT 22mm17494 dA实实222mm5774)7176( 空空A512. 0)8 . 01(194. 1)1(4)(4222122221222212 dDddDAA CMabABlACBMMAMB00 MMMMBAxCMabABlCMabABlBCAC PP1GIaMGIaTAAC PP2GIbMGIbTBBC baMMAB 0 MMMBAlMaMlMbMBA/ ACBMMAMBMMlABMMMMx ba0BA PbbbPaaaIGlMIGlMBA MMMlABMaMbbpbbpaaaMIGIGM PbbPaaPaa

7、aIGIGIGM 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N2510)105 .59(64)1014)(1080)(1055(643439334

8、 nRGdF 5 . 81014)105 .59(2233 dRdDcMPa325Pa10325)1014(1025 .592510(817. 186333max dFDk .bhT 3tIhb maxmax tmaxWT tGITl max 2thbW 3t31 hI 2t31 hW h/b1.01.21.52.02.53.04.06.08.010.00.2080.2190.2310.2460.2560.2670.2820.2990.3070.3130.3330.1410.1660.1960.2290.2490.2630.2810.2990.3070.3130.3331.0000.9300.8580.7960.7670.7530.7450.7430.7430.7430.743mkN4 MT229. 0246. 0 4833tm1028605. 01 . 0229. 0 hbI 3622tm106 .6105. 01 . 0246. 0