轮系作业

Ex.6-13：(1)ZV1不要圆整(2)dad1+2ha*m(3)hf=1.2m1.21.25m(4)Ex.7-1Shownbelowisahoist.Theteethnumbersofallthegearsare:Z1=20,Z2=50,Z2’=15,Z3=30,Z3’=1,Z4=40,Z4’=18,Z5=52.Findthetrainratioi15andpointouttherotatingdirectionofthehandletoraisetheweight.122'33'4'52050153014018528.5779520018*1*15*2052*40*30*50'4'3'21543215ZZZZZZZZi122'33'4'52050153014018528.5779520018*1*15*2052*40*30*50'4'3'21543215ZZZZZZZZi各轮转向标注在图上122'33'4'5205015301401852常见错误：1、蜗杆蜗轮间相对转动方向错误或漏标！2、齿数比前不能加正负号！122'33'4'5205015301401852Ex.7-2Shownbelowisthegeartraininaclock.S,MandHdenotethepointersofsecond,minuteandhour,respectively.ThegivennumbersofteethareZ1=Z2’=8,Z2=64,Z3’=12,Z4’=15.Ifthemodulesofgear4andgear5areequal,findthenumbersofteethZ3,Z4,andZ5.??Hmnn22'33'44'5SMH18864121560Solution:(1)15*12*1254ZZ8*8*64603'213213ZZZZZnniMS60648*8*603Z15*121254'4'354ZZZZZZnnHM22'33'44'5SMH18864121560'''''''2313'12'123245''353445453434454534606060*8*8606412SMMHzznizznzzzzzznizznmmmmmmaazzzz(2)(1)(2)联立得454845zz315125454ZZZZ22'33'44'5SMH18864121560常见错误：6012Hmnn360012*60Hsnn22'33'44'5SMH18864121560Ex.7-3Shownbelowisageartraininwhichgear3engageswithgears2and4simultaneously.Whatkindofgeartrainisit?IfZ1=34,Z2=Z3=20,andZ4=74,findthetrainratioi1H.132-40H2H14342020742H1434202074143214324114ZZZZZZZZnnnniHHHn4＝018.31754347411141ZZnnH常见错误：错将此行星轮系当成复合轮系11H1nnnniHH2H1434202074Ex.7-4ShownbelowisadifferentialgeartrainwithZ1=15,Z2=25,Z2’=20,Z3=60,n1=200r/min,n3=50r/min.FindboththemagnitudeandthedirectionofnHwhen(1)n1andn3areinthesamedirection;(2)n1andn3areintheoppositedirections.H132＝2’23H12'15252060(1)n1andn3areinthesamedirection52015602521323113＝’ZZZZnnnniHHH6/)5(31nnnH6/)5(31nnnHrpm756/505200＝）＋（H与1、3同向23H12'1525206023H12'15252060(1)n1andn3areinoppositedirections6/)5(31nnnH6/)5(31nnnHrpm33.86/505200＝－）－（H与3同向,与1反向Supposen1=+200rpm,n3=-50rpm,错误：当n1与n3同向时，当n1与n3反向时，52015602521323113＝’ZZZZnnnniHHH52015602521323113＝’ZZZZnnnniHHHEx.7-5Inthecombinedgeartrainshownbelow,Z1=36,Z2=60,Z2’=23,Z3=49,Z3’=69,Z4=31,Z5=131,Z6=94,Z7=36,Z8=167,n1=3549r/min.FindboththemagnitudeandthedirectionofnH.Solution:1.DividingthegeartrainH1322'3'45678n178H6H1322'3'45678n13'578H664H1322'3'45678n13-2'=2-13'578H664H1322'3'45678n1定轴轮系，串联行星轮系，再串联行星轮系H766453'3-2'=2-18H1322'3'45678n1Ex.7-6Inthecombinedgeartrainshownbelow,Z1=20,Z2=25,Z3=15,Z1’=30,Z4=70,Z4’=60,nH=110r/min.Findboththemagnitudeandthedirectionofn1.4312H4'n1'H4312H4'n1'H4'H1'34312H4'n1'H4'H1'31-2-4用定轴轮系去约束差动轮系。4312H4'n1'H3H1'4'1-2-4Ex.7-7Inthecombinedgeartrainshownbelow,Z1=Z5=Z6=17,Z2=18,Z2’=27,Z3=34,Z4=51.n1=110r/min.Findboththemagnitudeandthedirectionofn6.Solution:1.Dividingthegeartrain122'3456n1122'3456n12=2'613122'3456n12=2'6133654=0用行星轮系去约束差动轮系。122'3456n12=2'613364=05常见错误：两个基本周转轮系的系杆是不一样的。共用同一代号H引起混淆。HHHnnnni3113HHHnnnni4664122'3456n1常见错误：'2132613'21323113ZZZZiZZZZnni1-2-2’-3不是定轴轮系！!122'3456n1正负号的判断！613iEx.7-8ShownbelowisageartrainwithZ1=16,Z2=Z2’=25,Z3=57,Z4=56.Findthetrainratioi14.Solution:1.Dividingthegeartrain122'34H321H122'34H321H2=2'34122'34H0321H2=2'304122'34HTheyaretwoplanetarygeartrainsinseries(串联).021H03342=2'122'34H常见错误：1、齿数比前面的正负号。122'34H131311311ZZnnnnnniHHHHH'23、4、244'2ZZnn2、7-8.ShowninFig.7-18isthegeartraininaclock.S,MandHdenotethepointersofsecond,minuteandhour,respectively.ThegivenSHM122'33'44'5numbersofteethareZ1=Z2’=8,Z2=64,Z3’=12,Z4’=15.Ifthemodulesofgear4andgear5areequal,findthenumbersofteethZ3,Z4,andZ5.??HmnnSolution:'''''''2313'12'123245''353445453434454534606060*8*8606412SMMHzznizznzzzzzznizznmmmmmmaazzzz(1)SHM122'33'44'515*12*121215*125454ZZZZ'''''''2313'12'123245''353445453434454534606060*8*8606412SMMHzznizznzzzzzznizznmmmmmmaazzzz(2)(1)(2)联立得454845zzSHM122'33'44'5315125454ZZZZ常见错误：SHM122'33'44'56012Hmnn360012*60Hsnn7-9.ShowninFig.7-19isadifferentialgeartrainwithZ1=15,Z2=25,Z2’=20,Z3=60,n1=200r/min,n3=50r/min.FindnHwhen（1）n1andn3areinthesamedirection;(2)n1andn3areintheoppositedirections.122'H3Solution:此轮系为一差动轮系(1)Whenn1andn3areinthesamedirection：113200/min52005*5075/min66Hnrnnnr350/minnrH的转速为75r/min,方向与轮1转向相同。122'H3520*1560*25'21323113ZZZZnnnniHHHSolution:此轮系为一差动轮系(2)Whenn1andn3areintheoppositedirections.113200/min52005*508.33/min66Hnrnnnr350/minnrH的转速为8.33r/min,方向与轮1转向相反。122'H3520*1560*25'21323113ZZZZnnnniHHH常见错误1：122'H3'2132'21323113ZZZZZZZZnnnniHHH常见错误2：Whenn1andn3areinthesamedirection，122'H3Whenn1andn3areintheoppositedirection，'21323113ZZZZnnnniHHH'21323113ZZZZnnnniHHH常见错误3：Whenn1andn3areinthesamedirection，122'H3Whenn1andn3areintheoppositedirection，'21323113ZZZZnnnniHHH'21323113ZZZZnnnniHHH常见错误4：Whenn1andn3areintheoppositedirection，122'H3'2132311350200ZZZZnnnnnniHHHHH可能他认为：既然齿数比前面已经加了负号，所以就不需在50前面加负号了。7-10.ShowninFig.7-20isageartraininwhichgear3engageswithgears2and4simultaneously.Whatkindofgeartrainisit?IfZ1=34,Z2=Z3=20,andZ4=74,findthetrainratioi1H.H12341,4,2－3,H组成一差动轮系，