目錄1 目22 原始數(shù)據(jù)33 44 桿件 度的 算65 主要 算 果76 用解析法 滑 行B 運(yùn) 分析97 用 解法 兩個極限位置和一個一般位置 行運(yùn) 分析128E 點的運(yùn) 跡179 MATLAB程序代 1910 B 點的位移、速度、加速度數(shù)據(jù) 2011 E 點的坐 數(shù)據(jù) 21 12參考 目 221 設(shè)計題目縫紉機(jī)導(dǎo)線及緊線機(jī)構(gòu)設(shè)計及其運(yùn)動分析結(jié)構(gòu)示意圖 :該機(jī)構(gòu)由 O1 軸上齒輪驅(qū)動齒輪2， O2 軸上還固接有曲柄 O 2A 和 O2C ，曲柄滑塊機(jī)構(gòu) O 2 AB 的滑塊為縫紉針桿，曲柄搖桿機(jī)構(gòu) O2O3DC 的連桿上點 E 為緊線頭，針桿與緊線頭協(xié)調(diào)動作，完成縫紉和緊線過程。原始數(shù)據(jù)方案號一齒輪轉(zhuǎn)數(shù)n1rpm齒輪轉(zhuǎn)數(shù)n 2rpm模數(shù)mmm中 心 距O1O 2mm距離Lmm針桿沖程Hmm桿長O2O3mm桿長O3Dmm角度1deg2deg3degdegdeg桿長DE / DC2002301.2554403634294212014410801.3O2A / AB0.33 齒輪設(shè)計由傳動比公式知可取 z146 ， z140 。1，標(biāo)準(zhǔn)中心距m( z1 z2 )1.25 (4640)d253.75mm22，齒輪嚙合時的壓力角由得d cosd cosarccosd cosarccos73.75cos2020.7165d543，分度圓直徑d1mz11.254657.5mmd2mz21.254050mm4，基圓直徑db1 d1 cos57.5cos2054.03232mmdb2d2 cos50cos2046.98463mm5，變位系數(shù)由inv2( x1x2 ) taninvz1z2即inv 20.71652( x1x2 ) tan 20 inv 204640得x1 x20.20108取x10.05108, x20.156，中心距變動系數(shù)yz1z2 ( cos1)46 40 (cos201) 0.202cos2cos20.71657，齒高變動系數(shù)y( x1x2 )y0.001088，齒輪機(jī)構(gòu)的傳動類型正傳動9，齒頂高h(yuǎn)a1(ha*x1y)m(1 0.05108 0.00108) 1.25 1.3125mmha 2(ha*x2y)m(1 0.150.00108) 1.251.43615mm10，齒根高h(yuǎn)f 1(h *c*x )m (10.25 0.05108) 1.251.49865mma1h f 2( h* ac*x2 )m(1 0.25 0.15) 1.251.37511，齒頂圓直徑da1d12ha57.52 1.312560.125mmda 2d22ha5021.4361552.8723mm12，齒根圓直徑d f 1d12hf 157.52 1.4986554.5027mmd f 2d22h f 25021.37547.25mm13，齒頂圓壓力角rb127.0161626.0167a1arccosarccosra130.0625a 2arccos rb 2arccos23.4923227.2967ra 226.4361514，分度圓上的齒厚s1m1.252x1m tan2 0.05108 1.25 tan 20 2.00997mm22s2m2x2m tan1.2520.15 1.25tan202.09998mm2215，齒頂厚r a130.0625sa 1s1 r12 ra 1 ( inva 1inv)2.0099728.75230.0625( inv 26.0167inv 20)0.95719 mmsa 2s2ra 22 ra 2 ( inva 2inv)2.0999826.43615r225226.43615(inv 27.2967inv 20)0.91351 mm經(jīng)檢驗sa10.4 m0.41.250.5 mmsa 20.4m0.41.250.5mm16，重合度a1 z1(tan a1tan) z2(tan a2tan)1 46(tan26.0167 tan20.7165)2240(tan27.2967 tan20.7165)1.6835經(jīng)檢驗 a(1.1 1.2)4 桿件長度計算由針桿沖程 H 可得lO2AH3618mm22由lO2 A0.3得l ABAB60mm設(shè) D 的兩個極限位置為D1, D2所以，在D1O3 D2 中l(wèi) D1 D22lO3 D sin22 29 sin 80 1033.26743mm23901449054由余弦定理得l CDlO Cl O2DlO2O2lO D lO Ocos()233233229234222934cos(5480)58.02470mml CDlO2C222lO3D lO3O2cos()lO3 Dl O3 O229234222934cos(5410)33.65311mm所以，有以上兩方程得lCD45.83891mmlO2C12.18580mmlDE由于1.3lCD所以lDE1.345.8389159.59058 mm5 主要計算結(jié)果計算項目z1z2ad1d2db1db 2x1x2x1x2yha1ha 2hf 1hf 2da1da 2d f 1結(jié)果464053.75mm20 4357.5mm 50mm54.03232mm46.98463mm0.201080.051080.150.001081.3125mm1.43615mm1.49865mm1.375mm60.125mm52.8723mm54.5027mmd f 2a1a 2s1s2sa1sa 2lO2 Al ABlO2 ClCDl DE47.25mm26 127 182.00997mm2.09998mm0.95719mm0.91351mm1.683518mm60mm12.18580mm45.83891mm59.59058mm6 用解析法對滑塊進(jìn)行B 運(yùn)動分析lO2 A cos3)0l AB sin(2所以lO2 A coslAB cos0ylO2 AsinlABcos(3) lO2 AsinlABsinB2由以上兩式可得yBlO2 A sinlAB 1lO Acos )2( 2lABy18sin60 1(0.3cos)2B對應(yīng)的位移曲線如下對上式求導(dǎo)得vB18cos2.7sin 21(0.3cos)2433.53972cos65.03096sin 21(0.3cos)2對應(yīng)的速度曲線如下再對上式求導(dǎo)得aB18 2 sin2 5.4cos 2 (1 0.09cos2) 0.1215sin 2 21(0.3cos)2 3210442.03827sin580.113245.4cos 2(10.09cos2) 0.1215sin 2 21 (0.3cos)2 32對應(yīng)的加速度曲線圖如下7 用圖解法對兩個極限位置和一個一般位置對應(yīng)的速度加速度計算，并將結(jié)果與解析法的結(jié)果比較O2 A2 n224.08554 rad60s1 極限點一：901.1 速度分析(mm)速度比例尺：v100scmv Bv Av BA大?。?O2 AO2 A?方向：BAO2 ABA由圖可得（圖見坐標(biāo)紙）v B0vpa1004.35435mmBAsABvBA4357.25radlAB60s1.2 加速度分析(mm 2 )加速度比例尺：a2000scmaaaanBABABA大?。?？2lO A？AB 2l AB2方向：BAAO2BAB A由圖可得（圖見坐標(biāo)紙）aBaa 2000 3.6 7200 mms2方向水平向右AB0由解析法得到的結(jié)果如下v B0vBA433.53972mmsAB7.22566rad saB7309.4285mm s2方向水平向右AB02 極限點二：2702.1 速度分析100(mm)速度比例尺：vscmv Bv Av BA大?。海縊2 A O2 A？方向：B AO2 ABA由圖可得（圖見坐標(biāo)紙）v B0vBApa1004.35 435mmsABvBA4357.25radl AB60s2.2 加速度分析加速度比例尺：a2000(mms2 ) cma Ba AaanBABA大?。?？2lO2 A？AB2l AB方向： BAA O2BABA由圖可得（圖見坐標(biāo)紙）aBab 2000 6.8 13600 mm2方向水平向左sAB0由解析法得到的結(jié)果如下v B0vBA433.53972mmsAB7.22566radsaB13574.64975mms2方向水平向左AB03 一般位置243.1 速度分析(mm)速度比例尺：v100scmvBv Av BA大?。海縧O2 A？方向：BOO2 AAB2由圖可得（圖見坐標(biāo)紙）vBAv ab1001.8180 mmsBAvBA1803 radl AB60svBvpb 100 3.45 345 ms3.2 加速度分析(mms2 )加速度比例尺：a 1000cma BaAaBAna BA大??？2lO2 AAB 2lAB？方向B O2AO2BAAB由圖可得（圖見坐標(biāo)紙）aBab1000 6.356350 mms2方向水平向右由解析法得到的結(jié)果如下vBA183.35694 mmsBAvBA183.356943.055595radsl BA60v345.80677mBsaB6382.97554 mm2方向水平向右s8，E 點的運(yùn)動軌跡O3 點坐標(biāo)為xO3lO2O3cos34cos19.98470 mmyO3lO2O3 sin34sin27.50658mmD 點坐標(biāo)xDlO2O3coslO3D cos19.98470 29cosyDlO2O3 sinlO3D sin27.50658 29sin三角形 O2O3D 中，由余弦定理可得lODlO2O3lO2 D2lO O lO D cos()223233342292234 29cos(54)由正弦定理有l(wèi)O2 O3lO2 Dsin 1sin()所以lO2O3sin()34sin(54)1arcsinlO2 D arcsinlO2D由余弦定理得l2l22O2 DCDlO2Ccos 22lO2D l CD所以lO222lO2l22DlCDlO CDCDlO C2 arc cos 22lO2 D lCD2arc cos 22lO2D lCD2所以2(12 )所以xExDl DE cosyEyDl DE sin并且54l O O34mmlO D29mm，23，3，lO C12.18580 mm，lCD45.83891mm，2lDE59.59058mm ，2 120聯(lián)立以上各方程可以畫出E 點軌跡如下9， MATLAB 程序代碼位移曲線x=0:0.0001:2*pi;y1=18*sin(x);y2=60*sqrt(1-0.09*(cos(x).2);y=y1-y2;plot(x,y);速度曲線a=0:1:360x=a*pi./180;y1=18*cos(x);y2=2.7*sin(2*x);y3=sqrt(1-0.09*(cos(x).2);y=(y1-y2./y3)*24.08554plot(x,y);加速度曲線a=0:0.0001:360;x=a.*pi./180;y1=18.*sin(x);y2=5.4.*(cos(2*x);y3=(1-0.09.*(cos(x).2);y4=0.1215.*(sin(2*x).2;y5=(1-0.09*(cos(x).2).1.5;y=(0-y1-(y2.*y3-y4)./y5).*24.085542;plot(x,y);E 點的運(yùn)動軌跡曲線a=10.*pi./180:0.0001:80.*pi./180;b=54.*pi./180;o3x=-34.*cos(b);o3y=34.*sin(b);dx=o3x+29.*cos(a);dy=o3y+29.*sin(a);o2d=sqrt(34.*34+29.*29-2.*34.*29.*cos(a+b);r1=asin(34.*sin(a+b)./o2d);r2=acos(o2d).2+45.83891.2-12.18580.2)./(2.*(o2d).*45.83891);ex=dx+59.59058.*cos(120.*pi./180+a+r1+r2-pi);ey=dy+59.59058.*sin(120.*pi./180+a+r1+r2-pi);plot(ex,ey);11. B 點的位移、速度、加速度數(shù)據(jù)角度（ ）位移（ mm)速度（ mm/s)加速度（ *10000mm/s2)0-57.2364433.5397-0.32845-55.3960419.5697-0.356210-54.1960403.6721-0.488515-54.2640382.6548-0.532620-51.4101363.8259-0.604025-4902235334.6655-0.645230-48.9396317.1352-0.678435-47.8654285.2145-0.693240-46.8239266.3064-0.719745-45.9654235.3256-0.723550-45.0851213.4059-0.737255-44.2852183.2654-0.738660-43.7327159.8069-0.740465-43.1235135.2356-0.739670-42.7689106.2564-0.737075-42.532686.2354-0.736880-42.192053.0112-0.732785-42.086525.1254-0.731590-42.00000-0.730995-42.0980-25.1256-0.7315100-42.1920-53.0112-0.7327105-42.4562-86.2354-0.7331110-42.7689-106.2564-0.7370115-42.7523-135.2356-0.7395120-43.7327-159.8069-0.7404125-44.0567-183.2654-0.7386130-45.0851-213.4059-0.7372135-45.1254-235.3256-0.7245140-46.8239-266.3064-0.7197145-47.3265-285.2145-0.6923150-48.9396-317.1352-0.6784155-49.2464-334.6655-0.6523160-51.4101-363.8259-0.6040165-52.1656-382.6548-0.5324170-54.1960-403.6721-0.4885175-56.2354-419.5697-0.4256180-57.2364-433.5397-0.3284185-59.0123-445.3566-0.2456190-60.4473-450.2344-0.1259195-61.2395-450.56840.0025200-63.7229-450.96220.1103205-64.2354-443.25460.2354210-66.9396-433.77760.3658215-68.2546-413.65920.4562220-69.9643-397.91500.6227225-71.2356-375.36540.7562230-72.6627-343.94200.8626235-73.5656-300.24680.9654240-74.9096-273.73281.0682245-75.2114-293.26541.1235250-76.5978-190.30221.2254255-77.0123-100.26651.2986260-77.6451-97.55551.3239265-77.9654-46.55661.3452270-78.000001.3575275-77.965446.55661.3698280-77.645197.55551.3239285-77.0123100.26651.3211290-76.5978190.30221.2254295-75.2114293.26541.1235300-74.9096273.73281.0682305-73.5656300.24680.9654310-72.6627343.94200.8626315-71.2356375.36540.7562320-69.9643397.91500.6227325-68.2546413.64920.5241330-66.9396433.77760.3658335-64.2354443.25960.2415340-63.7229450.96220.1103345-61.2395450.56840.0025350-60.4473450.2344-0.1259355-59.0123443.2546-0.2456360-57.2364433.5397-0.328412.E 點的坐標(biāo)數(shù)據(jù)（與對應(yīng)）a( ）Ex(mm)Ey(mm)1066.066148.21981561.077162.15532057.819668.97522554.820174.35533051.922178.90573549.061182.86784046.205986.36194543.343389.45335040.472292.17725537.603194.54946034.75996.56996531.982598.21987029.356399.44457527.0864100.07878027.230298.160713，參考書目朱如鵬主編，機(jī)械原理 . 修訂 2 版. 北京：航空工業(yè)出版社，1998.8韓立竹，王華編著，北京：國防科技出版社，MATLAB電子仿真與應(yīng)用，2001.1C+書目王洪欣主編，機(jī)械原理課程上機(jī)與設(shè)計，南京：東南大學(xué)出版社，2005.8