机械原理红唐大放著矿业课后答案

习 a＝m(z1+z2)/2＝mz1(1+i12)/2＝6z1(1+3.6)/2＝345mm计算小齿轮的分度圆直径d1＝mz1＝6×25＝150计算小齿轮的基圆直径db1＝d1cosα＝150cos20°＝140.954计算小齿轮的齿厚s＝mπ/2＝6×π/2＝9.425计算小齿轮的齿槽宽e＝mπ/2＝6×π/2＝9.425ssrK2r srb12r(invinv)srb12r

srb12rv09.425140.954140.954(tan0o0π/180)r r1

8－2一对渐开线标准齿轮在标准距df1，基圆直径db1，基圆齿厚sb1。由图得 aaadf1＝(z1－2h*－2c)m＝(18－2－0.5)×4＝62a

8－2ssrb12rnv04π67.65867.658(tan20oπ/180)6.913 1

α为角，α＝20°，通过测量Wk，可以检测齿轮分度圆上的齿厚。Wk的计算为 ss

inv)sr

2rbinvscosmzcosinvcos(smzinv当为变位齿轮时，smπ/22xmtan，pbmπcosWk＝(k－1)pb＋sb＝mcosα[(k－0.5)π＋zinvα]＋2xmsinα 当x＝0时，Wk为Wk＝(k－1)pb＋sb＝mcosα[(k－0.5)π＋zinvα] 由(k－1)pb1＋sb1＝mcosα[(k－0.5)π＋z1invα]pb1为pb1＝{mcosα[(k－0.5)π＋z1invα]－sb1}/(k－1)pb1＝{4cos20°[2.5π＋18(tan20°－20°×π/180)]－6.913}/2＝11.808mm■或由pb1×z1＝db1×π得pb1为pb1＝db1×π/z1＝67.658×π/18＝11.808mm■ s1＝6.283 db1＝d1cosα＝mz1cosα＝4×21cos20°＝78.934mmdb2＝d2cosα＝mz2cosα＝4×72cos20°＝270.631mmda1＝(z1+2h*)m＝(21a2)4＝91mmada2＝(z2+2h*)m＝(72＋2)4＝296mmαa1＝arccos(rb1/ra1)，αa2＝arccos(rb2/ra2)，α'＝arccos(acosα/a')αa1＝arccos(rb1/ra1)＝arccos(78.934/91)＝29.841αa2＝arccos(rb2/ra2)＝aα[z1(tana1tan)z2(tana2tan)]α[21(tan29.841tan20)72(tan23.894tan20)]/(2π)(4.40345.6911)/(2π) 一对渐开线标准齿轮在标准距下传动，已知模数m＝6，齿数z1＝23、z2＝64，当距a'＝263mm时，试计算啮合角α'。计算标准距a＝m(z1+z2)/2＝6(23+64)/2＝261acosacos0.5 β＝20ºb＝65mmεγ。tanttann/costarctan(tanmnmtcos

/cos)arctan(tan0/cos0)13omtmn/cos8/cos08.513mmhmhm，cmcan at an athhm/m18/8.513 an ccm/m0.258/8.513 an db1＝d1cosαt＝mtz1cosαt＝8.513×25cos21.173°＝58mmdb2＝d2cosα＝mtz2cosαt＝8.513×67cos21.173°＝531.868mmda1＝(z1+2h*)mt＝(25＋2×0.9397)8.513＝228.824mmda2＝(z2+2h*)mt＝(67＋2×0.9397)8.513＝586.370mmarccos(58/228.824)＝29.854αa2＝arccos(rb2/ra2)＝γαβ[z1(tanat1tant)z2(tanat2tant)]/(2π)bsin/(mnγαβ[25(tan29.854tan20)67(tan24.899tan20)]/(2π)65sin20γαβ a＝m(z1+z2)/2＝4(23+79)/2＝204mminv2(x1x2)tan/(z1z2)invinv2(0.650.4)tan0/(2379)(tan00π/o20.25tan0/102(tan00oπ/0oα'＝20.741°y0.5(z1z2)(cos/cosy0.5(2379)(cos0/cos2.741) (x1x2)(0.650.4)0.2455 a aa aa ada1df1Rθa1θf1δa1δf1。计算小圆锥齿轮大端分度圆直径d1＝mz1＝6×21＝126a计算小圆锥齿轮大端齿顶高ha1＝h*m＝1×6＝6aa计算小圆锥齿轮大端齿根高hf1＝h*cm＝(1+0.2)6＝7.2aa计算小圆锥齿轮大端齿全高h1＝(2h*cm＝(2×10.2)6＝13.2a计算小圆锥齿轮分度锥角δ1＝arctan(1/i12)＝arctan(z1/计算小圆锥齿轮大端齿顶圆直径da1＝d1+2ha1cosδ1＝1262×6cos18.7117°＝137.366z2z 212z2z 212计算锥距R 0.5 ＝196.380计算小圆锥齿轮齿顶角计算小圆锥齿轮齿根角 计算小圆锥齿轮顶锥角计算小圆锥齿轮根锥角d2＝336mmmt2ma1向齿距pa1，③导程L，④蜗杆的直径系数q；⑤蜗杆传动的标准距a，⑥导程角λ1。计算蜗杆的轴向齿距pa1＝pt2