鲁达 今天小编给大家整理了关于函数的计算方法，这应该对从事数控行业的你有所帮助，不会的赶紧学学吧
三角函数计算
角函数的关系
(正弦) sin θ = 对边A / 斜边C
(余弦) Cosθ = 邻边B / 斜边C
(正切) Tanθ = 对边A / 邻边B
对边A = 斜边C * Sinθ
对边A = 邻边B * Tanθ
邻边B = 斜边C * Cosθ
邻边B = 对边A / Tanθ
斜边C = 对边A / Sinθ
斜边C = 邻边B / Cosθ
例题：已知斜边C=20, 角度θ=35度 求对边A及邻边B
对边A =斜边C * Sinθ= 20 * Sin (35) = 20 * 0.573576 = 11.471
邻边B =斜边C * Cosθ= 20 * Cos (35) = 20 * 0.81915 = 16.383
一般车床锥度与三角函数的关系 锥度比T=(大径D-小径d) / (长度L)
Tanθ= (大径D-小径d) / (2*长度L )
D= d + 2*L* Tanθ
d= D - 2*L* Tanθ
θ= Tan - ( (D-d) / 2L )
这里为你提供了sin,cos,tan不同角度的表值，精确度也很高了，相信对你有用
sin1=0.01745240643728351
sin2=0.03489949670250097
sin3=0.05233595624294383
sin4=0.0697564737441253
sin5=0.087816
sin6=0.10452846326765346
sin7=0.124747
sin8=0.006544
sin9=0.023087
sin10=0.17364817766693033
sin11=0.1908089953765448
sin12=0.20791169081775931
sin13=0.22495105434386497
sin14=0.241923
sin15=0.25881904510252074
sin16=0.27563735581699916
sin17=0.2923717047227367
sin18=0.3090169943749474
sin19=0.3255681544571567
sin20=0.3420201433256687
sin21=0.35836794954530027
sin22=0.374606593415912
sin23=0.3907311284892737
sin24=0.40673664307580015
sin25=0.422644
sin26=0.4383711467890774
sin27=0.45399049973954675
sin28=0.46947
sin29=0.48480962024633706
sin30=0.49999999999999994
sin31=0.50542
sin32=0.5299192642332049
sin33=0.544639035015027
sin34=0.5591929034707468
sin35=0.573576436351046
sin36=0.5877852522924731
sin37=0.60483
sin38=0.66583
sin39=0.6293203910498375
sin40=0.6427876096865392
sin41=0.6560590289905073
sin42=0.66982
sin43=0.6819983600624985
sin44=0.6946583704589972
sin45=0.7071067811865475
sin46=0.7193398003386511
sin47=0.73705
sin48=0.7431448254773941
sin49=0.7547095802227719
sin50=0.766044443118978
sin51=0.77708
sin52=0.7880107536067219
sin53=0.7986355100472928
sin54=0.8090169943749474
sin55=0.81918
sin56=0.8290375725550417
sin57=0.8386705679454239
sin58=0.848048096156426
sin59=0.8571673007021122
sin60=0.8660254037844386
sin61=0.8746197071393957
sin62=0.8829475928589269
sin63=0.8910065241883678
sin64=0.898794046299167
sin65=0.9063077870366499
sin66=0.96009
sin67=0.9205048534524404
sin68=0.92773
sin69=0.9335804264972017
sin70=0.9396926207859083
sin71=0.94557
sin72=0.9510565162951535
sin73=0.9563047559630354
sin74=0.9612616959383189
sin75=0.9659258262890683
sin76=0.9702957262759965
sin77=0.9743700647852352
sin78=0.97857
sin79=0.981627183447664
sin80=0.984807753012208
sin81=0.9876883405951378
sin82=0.9902680687415704
sin83=0.992546151641322
sin84=0.99452
sin85=0.9961946980917455
sin86=0.9975640502598242
sin87=0.9986295347545738
sin88=0.9993908270190958
sin89=0.9998476951563913
sin90=1
cos1=0.9998476951563913
cos2=0.9993908270190958
cos3=0.9986295347545738
cos4=0.9975640502598242
cos5=0.9961946980917455
cos6=0.99452
cos7=0.992546151641322
cos8=0.9902680687415704
cos9=0.9876883405951378
cos10=0.984807753012208
cos11=0.981627183447664
cos12=0.97857
cos13=0.9743700647852352
cos14=0.9702957262759965
cos15=0.9659258262890683
cos16=0.9612616959383189
cos17=0.9563047559630355
cos18=0.9510565162951535
cos19=0.94558
cos20=0.9396926207859084
cos21=0.9335804264972017
cos22=0.92774
cos23=0.9205048534524404
cos24=0.96009
cos25=0.9063077870366499
cos26=0.898794046299167
cos27=0.8910065241883679
cos28=0.882947592858927
cos29=0.8746197071393957
cos30=0.8660254037844387
cos31=0.8571673007021123
cos32=0.848048096156426
cos33=0.838670567945424
cos34=0.8290375725550417
cos35=0.81918
cos36=0.8090169943749474
cos37=0.7986355100472928
cos38=0.7880107536067219
cos39=0.77709
cos40=0.766044443118978
cos41=0.754709580222772
cos42=0.7431448254773942
cos43=0.73705
cos44=0.7193398003386512
cos45=0.7071067811865476
cos46=0.6946583704589974
cos47=0.6819983600624985
cos48=0.66982
cos49=0.6560590289905074
cos50=0.6427876096865394
cos51=0.6293203910498375
cos52=0.66583
cos53=0.60484
cos54=0.5877852522924731
cos55=0.5735764363510462
cos56=0.5591929034707468
cos57=0.5446390350150272
cos58=0.5299192642332049
cos59=0.50544
cos60=0.5000000000000001
cos61=0.4848096202463371
cos62=0.469476
cos63=0.4539904997395468
cos64=0.43837114678907746
cos65=0.422644
cos66=0.4067366430758004
cos67=0.3907311284892737
cos68=0.3746065934159122
cos69=0.35836794954530015
cos70=0.3420201433256688
cos71=0.325568
cos72=0.30901699437494745
cos73=0.29237170472273677
cos74=0.27563735581699916
cos75=0.25881904510252074
cos76=0.241927
cos77=0.22495105434386514
cos78=0.20791169081775923
cos79=0.19080899537654491
cos80=0.17364817766693041
cos81=0.023092
cos82=0.006546
cos83=0.124749
cos84=0.10452846326765346
cos85=0.087836
cos86=0.06975647374412523
cos87=0.052335956242943966
cos88=0.03489949670250108
cos89=0.0174524064372836
cos90=0
tan1=0.017455064928217585
tan2=0.03492076949174773
tan3=0.052407779283041196
tan4=0.06992681194351041
tan5=0.08748866352592401
tan6=0.10510423526567646
tan7=0.1227845609029046
tan8=0.14054083470239145
tan9=0.453627
tan10=0.17632698070846497
tan11=0.19438030913771848
tan12=0.2125565616700221
tan13=0.2308681911255631
tan14=0.24932800284318068
tan15=0.2679491924311227
tan16=0.2867453857588079
tan17=0.30573068145866033
tan18=0.3249196962329063
tan19=0.34432761328966527
tan20=0.36397023426620234
tan21=0.3838640350354158
tan22=0.4040262258351568
tan23=0.4244748162096047
tan24=0.4452286853085361
tan25=0.4663076581549986
tan26=0.4877325885658614
tan27=0.5095254494944288
tan28=0.5317094316614788
tan29=0.554309051452769
tan30=0.5773502691896257
tan31=0.6008606190275604
tan32=0.6248693519093275
tan33=0.6494075931975104
tan34=0.6745085168424265
tan35=0.7002075382097097
tan36=0.7265425280053609
tan37=0.7535540501027942
tan38=0.7812856265067174
tan39=0.8097840331950072
tan40=0.8390996311772799
tan41=0.8692867378162267
tan42=0.9004040442978399
tan43=0.93258
tan44=0.9656887748070739
tan45=0.9999999999999999
tan46=1.0355303137905693
tan47=1.0723687100246826
tan48=1.1106125148291927
tan49=1.10092
tan50=1.19175359259421
tan51=1.234897156535051
tan52=1.2799416321930785
tan53=1.3270448216204098
tan54=1.3763819204711733
tan55=1.4281480067421144
tan56=1.4825609685127403
tan57=1.5398649638145827
tan58=1.6003345290410506
tan59=1.6642794823505173
tan60=1.7320508075688767
tan61=1.8040477552714235
tan62=1.8807264653463318
tan63=1.9626105055051503
tan64=2.050303841579296
tan65=2.1445069205095586
tan66=2.246036773904215
tan67=2.355852365823753
tan68=2.4750868534162946
tan69=2.6050890646938023
tan70=2.7474774194546216
tan71=2.904210877675822
tan72=3.0776835371752526
tan73=3.2708526184841404
tan74=3.4874144438409087
tan75=3.7320508075688776
tan76=4.0107809335358455
tan77=4.3353
tan78=4.704630109478456
tan79=5.144554015970307
tan80=5.671281819617707
tan81=6.3041
tan82=7.1207
tan83=8.144346427974593
tan84=9.514364454222587
tan85=11.43005230276132
tan86=14.300666256711942
tan87=19.081
tan88=28.636253282915515
tan89=57.289961630759144
tan90=(无限)
切削速度的计算
Ｖc＝(π*Ｄ*Ｓ)／１０００
Vc：线速度(m/min) π：圆周率) D：刀具直径(mm)
S：转速(rpm)
例题. 使用Φ25的铣刀Vc为(m/min)25求S=?rpm
Vc=πds/1000
25=π*25*S/1000
S=1000*25/ π*25
S=320rpm
进给量(F值)的计算
Ｆ＝Ｓ＊Ｚ＊Ｆz
F：进给量(mm/min) S：转速(rpm) Z：刃数
Ｆz：(实际每刃进给)
例题.一标准2刃立铣刀以2000rpm)速度切削工件，求进给量(F
值)为多少？(Ｆz=0.25mm)
Ｆ＝Ｓ＊Ｚ＊Ｆz
Ｆ＝2000*2*0.25
Ｆ＝1000(mm/min)
残料高的计算
Scallop＝（ae＊ae）／8R
Scallop：残料高(mm) ae：XYpitch(mm) R刀具半径(mm)
例题.Φ20R10精修2枚刃，预残料高0.002mm，求Pitch为多
少？mm
Scallop=ae2/8R
0.002=ae2/8*10
ae=0.4mm
逃料孔的计算
Φ＝√２Ｒ2 Ｘ、Ｙ＝Ｄ／４
Φ：逃料孔直径(mm) R刀具半径(mm) D：刀具直径(mm)
例题. 已知一模穴须逃角加工(如图)，
所用铣刀为ψ10；请问逃角孔最小
为多少？圆心坐标多少？
Φ=√２Ｒ2
Φ=√２＊５２
Φ=7.1(mm)
Ｘ、Ｙ＝Ｄ／４
Ｘ、Ｙ＝１０／４
Ｘ、Ｙ＝2.5 mm
圆心坐标为)
取料量的计算
Ｑ＝（ae＊ap＊Ｆ）／１０００
Ｑ：取料量(cm3/min) ae：XYpitch(mm)ap：Zpitch(mm)
例题. 已知一模仁须cavity等高加工，Φ35R5的刀XYpitch是刀具的60%，每层切1.5mm，进给量为2000mm/min，求此刀具的取料量为多少？
Ｑ＝（ae＊ap＊Ｆ）／１０００
Ｑ＝35*0.6*1.5*2000／1000
Ｑ＝63 cm3/min
每刃进给量的计算
Ｆz＝ｈm * √(Ｄ／ap )
Ｆz：实施每刃进给量 ｈm：理论每刃进给量ap：Zpitch(mm)
D：刀片直径(mm)
例题(前提depo XYpitch是刀具的60%)
depoΦ35R5的刀，切削NAK80材料ｈm为0.15mm，Z轴切深1.5mm，求每刃进给量为多少？
Ｆz＝ｈm * √(Ｄ／ap )
Ｆz＝0.2*√10
Ｆz＝0.5mm
冲模刀口加工方法
刀口加工深度＝板厚－刀口高＋钻尖（０．３Ｄ）
Ｄ表示刀径
钻头钻孔时间公式
Ｔ（ｍｉｎ）＝Ｌ（ｍｉｎ）／Ｎ（ｒｐｍ）＊ｆ（ｍｍ／ｒｅｖ）
＝πＤＬ／１０００ｖｆ
Ｌ：钻孔全长 Ｎ：回转数 ｆ：进刀量系数
Ｄ：钻头直径 ｖ：切削速度
如图 孔深ｌ 钻头孔全长Ｌ 则Ｌ＝ｌ＋Ｄ／３
Ｔ＝Ｌ／Ｎｆ＝πＤＬ／１０００ｖｆ
系数表ｆ 直径ｍｍ 进刀ｍｍ／ｒｅｖ
1.6~3.2 0.025~0.075
3.2~6.4 0.05~0.15
6.4~12.8 0.10~0.25
12.8~25 0.175~0.375
25以上 0.376~0.625
管牙计算公式
１英寸＝２５．４ｍｍ＝８分
２５．４／牙数＝牙距
例如 ２５．４／１８＝１．４１４ 牙距为５／１６丝攻
马力（枪钻）
Ｗ＝Ｍｄ＊Ｎ／９７．４１０
Ｗ：所要动力（ＫＷ）
Ｍｄ：扭矩（ｋｇ－ｃｍ）
Ｎ：回转数（ｒ.ｐ.ｍ）
扭矩计算公式如下：
Ｍｄ＝１／２０＊ｆ＊ｐｓ＊
ｆ为进给量ｍｍ／ｒｅｖ系数
ｒ为钻头半径赛（ｍｍ）
α：切削抵抗比值ｐｓ．在小进给时，一般钢为５００ｋｇ／ｍ㎡；一般铸铁为３００ｋｇ／ｍ㎡；
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