材料力学第六版PPT-第三章 扭转

1、 从动轮从动轮主动轮主动轮从动轮从动轮 / kW e N m r min 9 549 P M n e2 e1 e3 e 0 x M e MT e e Me x n n MeMe x Me x / kw e r min 9 549 p M n mN6366 mN5 .4774 mN15915 4e 3e2e 1e M MM M 0 0 23e2e TMM M x mN9549 3e2e2 MMT mN5 .4774 2e1 MT x Me2Me3 T2 Me2 1 T 1 3 3 Me4Me1 Me3 Me2 Me2 mN5 .4774 2e1 MT mN6366 4e3 MT mN9549 m

2、ax T 0 10 1 r dx x Me Me dx A B D C () dd2 AA A rrArrT 2 2 r T 0 y F . 00 xz FM zyxd)dd( l l r T O l r r T 2 2 G )1(2 E G 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 deformation geometric relation Distribution regularity of deformation Distribution regularit

3、y of stress Establish the formula Examine the deformation then propose the hypothesis physical relation static relation a b b 1 2 d tan d GG xEG TT A D G D G ) G x GG d d a b A TTD b d D 1 2 G G TA A d TA x G A d d d TA x G A d d d 2 p 2d IA A p d d GI T x P I T max t max p p max max W T I T I T max

4、 p t I W d O )d(2d A 32 d2d 4 2 0 32 p d AI d A 16 2/ 32/ 34 max p t d d d I W d O D d d 32 )1( 44 p D I )1( 16 4 3 t D W 其中其中 D d M1M2 A BC ll Me1Me2 A BC ll 1 Me2 C T1 2 Me2 C Me1 B T2 4kNm 2kNm + _ T max t max max W T M1M2 A BC ll MPa5 .34 )1( 16 4 3 max D T max t max max W T t max W T max t T W

5、tmax WT A B C MeA MeB MeC 22 14 + _MPa84.64 16/ )12. 0( 1022 16/ 3 3 3 1 1 t1 1 max1 d T W T MPa3 .71 16/ )1 . 0( 1014 16/ 3 3 3 2 2 2t 2 max2 d T W T 2max1max l l (a) (b) 2t 2max 1t 1max W T W T d d2 D2 2t1t W T W T 16 )1( 16 43 2 3 1 2t1t Dd WW () 334 12 1 1616 dD 194. 1 8 . 01 1 3 4 1 2 d D 512.

6、0)8 . 01(194. 1 )1( 4 )( 4 22 2 1 22 2 2 1 2 2 2 2 1 2 d D d dD A A ( p d d GI T x x GI T ll dd p p Tl GI () p rad m T lGI max () max max p rad m T GI D + Me 2Me 3Me 1 180 ) 2 ( p e p e GI aM GI aM MPa7 .69 t max max W T mkN292 e M 33. 2 180 ) 23 ( p e p e GI aM GI aM CBBACA D + Me 2Me 3Me Dd MeMe .

7、 2 0 934 dD DD 34p t mm1006. 2 2/ D I W MPa1 .96 t max max W T () . 44 54 p 1 7 83 10 mm 32 D I ./ max max p 180 1 81m T GI mkN98. 1 e MT Dd MeMe MPa1 .96 16/ 3 max max d T 2 2 mm1749 4 d A 实实 2 22 mm577 4 )7176( 空空 A 329. 0 1749 577 1 2 A A C Me ab AB l ACB MeMeAMeB 0 0 eee MMM M BA x C Me ab AB l

8、C Me ab AB l BCAC 1 pp AC T aM a GIGI e eA A P e P 2 GI bM GI bT B BC b aM M A B e e 0 eee MMM BA lMaM lMbM B A / / e e ACB MeMeAMeB MeMe l A B e 0 x ab M MMM BA pp ab AB aabb M lM l G IG I Me Me Me l A B MaMb p p aa ab bb G I MM G I p pp aa a aabb G I M G IG I p pp bb b aabb G I M G IG I Mb MaMe BA

9、 Me Me l A B (a )P R d F (a) R d PP Q T (b) FS T FP F 33 t max 8 16/ 2/ d FD d FD W T 2 S FD TFF 33max 8 8 ) 615. 0 44 14 ( d FD k d FD cc c cc c k d D c 615. 0 44 14 , max (a) R d PP Q T (b) FS T FP F 2 p 2 T l GI 2 FD T Dnl 23 4 4F D n Gd O l l l l l lFW 2 1 4 32 4 2 1 Gd nDF F l l 4 3 4 3 648 Gd

10、nFR Gd nFD l l nR Gd nD Gd c 3 4 3 4 648 令令 c F l l得得 N2510 )105 .59(64 )1014)(1080)(1055( 64 3 4393 3 4 nR Gd F l l 5 . 8 1014 )105 .59(22 3 3 d R d D c MPa325 Pa10325 )1014( 1025 .592510(8 17. 1 8 6 3 3 3max d FD k . b h T 3 t Ihb max max t max W T t GI Tl max 2 t hbW 3 t 3 1 hI 2 t 3 1 hW h/b1.01.21.52.02.53.04.06.08.010.0 0.2080.2190.2310.2460.2560.2670.2820.2990.3070.3130.333 0.1410.1660.1960.2290.2490.2630.2810.2990.3070.3130.333 1.0000.9300.8580.7960.7670.7530.7450.7430.7430.7430.743 mkN4 MT 229. 0246. 0 4833 t m1028605. 01 . 0229. 0 hbI 3622 t m106 .6105. 01 . 0246. 0 hbW