滚珠丝杠选型计算.pdf

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1、B-1 SBCSBC Precision RolledPrecision Rolled Ball ScrewBall Screw ? ? 精密转造滚珠丝杠 B 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW 估算速度 Calculation Speed 转速Rotational Speed : Tolerance Class P d 0 :丝杆直径 Screw Diameter 容许等级P 临界速度 Critical Rotational Speed n cr min-1 参考see D-3 f 标志index p 安全系数Safety Factor 容许值Permi

2、ssible crs 支撑方法 图表 Diagram 临界速度 ncr与公称直径和非支撑螺母的最大长度/cr有关 1) 最大转速就是容许范围内的最大速度。 容许转速是n / 和ncrp的最小值。 建议根据客户要求提供支撑方式。 注：Remarks Critical speed (1st order) ncr as a function of nominal- screw length /cr. Support recommendation on request. and the max. unsupported o d0 / The rotational speed limit is the

3、result of the maximum perimissible ball speed. The permissible speed is the lowest of the values n and n . crp 图解 Diagram *扭曲负载 Buckling Max load Fc as a function of size and max.column length / c Compression loads (where force pushes on bearing and support) tend to cause the screw shaft to bend, re

4、quiring larger screw diameters than for comparably loadded tensile situations. Where possilble, applications shoud be designed for tension loading (where force pulls on bearing and support.) 根据型号与运行的最大长度/ c来确定最大扭曲负载 Fc。 丝杠受径向负载时，超载时的轴变形弯曲，这种现象叫做扭曲。产生扭曲的最小径向负载， 称为扭曲负载。因此客户选型时必须注意，应在允许范围内选定丝杠直径。 精密转造滚

5、珠丝杠 PRECISION ROLLED BALL SCREW 扭曲负荷计算 Calculation Buckling 扭曲负荷 Buckling 标志index p 容许值permissible 型号 Example: 6310 支撑方法 Support 3 寿命计算 Calculation LIfe 根据负荷计算寿命Life as a function of load 例 尺寸要求 L10 DIN 69051 / 2 x 106 revs根据公式计算额定寿命 Nominal life expectancy to DIN 69051 / 2 x 106 revs = L10= 4010(间隙

6、型Backlash) 4020 4040 4010 5020 5020 5010(间隙型Backlash) 6310(间隙型Backlash) 8010(间隙型Backlash) 8020(间隙型Backlash) 8020 8010 6320 6310 5010 1605(无间隙型Non-Backlash) 1605(间隙型Backlash) 2002(间隙型Backlash) 2005(间隙型Backlash) 2525(间隙型Backlash) 3205(间隙型Backlash) 3210 4005 3220 4005(间隙型Backlash) 3210(间隙型Backlash) 250

7、5 2510 2510 1605 The calculation and diagrams on pages D-29 only apply as an approximation. Please contact us if and accurate calculation is required 参考see D-8 注 Notes D-2至D-9页的计算公式和图表是估测算值。如需精确计算，请SBC与联系。 Fm 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW 寿命计算 Calculation

8、Life Mounting 额定寿命Life Expectancy 额定寿命 Modified Life In Revolutions Equivalent Rotational Speed rev Equivalent Load N Modified Dyn. Load Rating N 根据时间计算 Modified Life In Hours 根据DIN69 051/4的负荷进行寿命计算 Load rating /life calculation as a function of load to DIN 69 051/4 基本动负载率N 平均负载N 平均转数 冲击负载 Load Impa

9、ct 最佳条件 Optimum 如需特殊径向负载，请与SBC联系。 In case of radial loads please contact us 安装公差 Mounting Tolerances ? ? ” ” 效率，扭矩计算公式 Calculation Efficiency, Torques 效率Efficiency 效率 不仅取决于计算数据，而且受启动和运动等因素的影响。因此实际值有约 5%的误差。 把转动转化为 直线运动时的 理论效率 就速度，温度和润滑而言，理论效率会降低约 5%。如果此负载F和基本动负载Cam之差在0.5以下，那 负载系数f1应进一步减小（见下图）。对于滚珠丝杠

10、而言，在此基础上的计算效率只包括润滑，并没有 包括抽支撑的润滑环。如需要提高效率，请与SBC联系。 把直线运动 转化为转动 时的理论效率 Efficiency not only depends on geometrical data, but also on various operating influences. Thus, the actual values can differ by 5% from the calculated ones. For operational influences such as speed, temperature, lubricant, etc., a

11、pprox. 5% of the theoretical efficiency will be deducted. If the relation between the load F and the dynamic load rating Cam is below 0.5, then an additional reduction in relation to the load factor f/ (see table) below)is to be applied. The theoretical efficiency ( ). when converting torque into li

12、near motion, is: The theoretical efficiency ( ). when converting linear motion into torque, is: 摩擦角度Friction Angle P1P4 P5P9 tan tan ( ) tan = tan ( + ) with tan ( ) with than = = = The efficiency calculated on this basis applies for the ball screw including lubrication but without considering wiper

13、s or shaft support. If an improvement of the efficiency is required, we kindly request you to contact us. 0.4 0.3 0.2 0.1 4010FK - P4 10000 0.190.97 f/ 0.08 10 40 Practical efficiency after running in. tan = = = = = = 53900 0.99 0.98 0.97 0.96 计算实例 Example f/ C F am C F am C53,900N= = = = = = F10,00

14、0N 0.957 0.957f/ 0.957 p p p 0.88 5% 0.950.97 0.08 am =C = = = = = = f/ =F轴向负载 Axial load 基本动态负载 Dyn. load rating * 支撑方法Support of Screws 丝杠支撑方法请参照样本中的H-1至H-13页。 A= 螺杆横截面图Screw shaft cross secton d016 R When converting torque into linear motion, the necessary drive torque is: The total rigidity of R

15、tot of a ball screw is formed by rigidity of the screw shaft RS and that of the nut unit Rnuar. The rigidity values for Rnu, are minimum values and refer to the preloaded ball nut/screw shaft area applying an accuracy factor. The overall rigidity (without bearing)is calculated as follows: The rigidi

16、ty of the screw shaft depends on the support characteristics: Rigid mounting at both endsRigid mounting at one end 1 Rtot T 2000 FP NmNm ho p a RsR N/ m nu 11 When converting linear motion into torque, the resulting output torque is: 扭转力矩 Torques: Ta ; Te 把转动转化为直线运动时，其驱动力 矩为： 把直线运动转化为转动时，产出的输出力 矩为：

17、A 103 104 /1 21 mm /, /1, /2 E N/ m N/ mm2 = = =T 2000 F a = = s1 E 20 5 25 525 428 5 723 10 685 5 1155 1040 1075 10,20 1705 10,20 2823 10 4650 20 4412 3240 R R A bei/a/2 /2/2 2 / N/ m /2 / / 103 E s2 s2min 506380 5 162263 Pho A mm2 Examples of bearing supports are shown on page H1H13 负载系数 Load fact

18、or 旋转角度 Load angle 理论效率 Theor. efficiency 实际效率 Pract.efficiency 驱动力矩 Drive torque 输出力矩 Output torque am Ta p Te 2 = = + Pho p p P d0 h0 P d0 h0 运行一定行程后得出的实际效率。 滚珠丝杠的总强度 Rigidity Miscellaneous 滚珠丝杠的总强度Rtot是由其螺杆强度RS共同构成的。 Rnuar强度值是最小值，指的是要求有一定精度的预紧型滚珠螺杆或螺母的区域。 螺杆强度取决于其支撑方法的变化。 一端支撑两端支撑 B 0.23 : O 0.34

19、 : O 4.55 o tan(4.55 +0.23 ) oo o u u u B-10B-11 B 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW ? ?B-12 B-13 导程精度的测试条件 Acceptance Test Conditions 容许行程偏差 Permi ssible Travel Deviations 类型丝杠的定位 Positioning Ball screwsCType V perm. travel variation within 300mm travel C1-4

20、*ep = 2 Tab.1 Tab.1 Tab. 1 Tab.2 1 3 4 5 /u m 315 6 6 12 12 16 18 23 23 315 400 400 500 500 630 630 800 800 1000 1000 1250 1250 1600 1600 2000 2000 2500 2500 3150 3150 4000 4000 5000 5000 6300 7 6 13 12 18 19 25 25 8 7 15 13 20 20 27 26 9 7 16 14 22 21 30 29 10 8 18 16 25 23 35 31 11 9 21 17 28 26 4

21、0 35 13 10 24 19 33 29 46 39 15 11 29 22 39 33 54 44 18 13 35 25 46 38 65 51 22 15 41 29 55 44 77 59 26 17 50 34 68 52 93 69 32 21 62 41 84 56 115 82 - - 76 49 102 60 140 99 - - - - 125 65 170 119 e v e v e v e v p up p up p up p up C V300 p m V2 p m 1 6 4 3 12 6 4 18 7 5 23 8 7 52 12 9 130 - 10 210

22、 - Tab.1 Tab.1 Tab.2 Tab.2 Tab.2 Tab.2 -0.01/10000 T - - Tab.1 0 2 . /u 300 .V300p perm. travel variation within 2 travel perm. travel variation within useful travel /u travel compensation tolerance on useful travel /u 300P V c e 2 p Vup p /1 = Axial thread length/u = Usable travel/e = Exoess travel

23、 = Tab.2/0 = Nominal travel/0 = travel deviation /1 = 轴向螺纹长度/u = 有效行程/e =超量行程= Tab.2/0 =平均行程/0 =行程偏差 /u 300 V300p d0 mm Tp0 N m /u / u d0 Tp0 % 额定转矩Nom. drag torque许用偏差Permissible deviation /x mm 61 D ; - - - - - - 3 4 - 4 5 6 5 6 8 5 6 8 6 8 10 8 10 12 6 8 10 12 16 8 10 12 16 20 8 10 12 16 20 10 12

24、 16 20 25 12 16 20 25 32 许用偏差Permissible deviation tp m 34579,10 10 12 16 20 - 12 166 20 25 32 16 20 25 32 40 20 20 25 32 40 20 25 32 40 50 63 80 125 200 250 324063 40 63 100 160 80 160 250 400 630 - - 32 63 125 - - 32 63 125 - - - - 80 160 250 400 630 10 12 16 20 25 32 12 16 20 25 32 40 16 20 25 32

25、 40 50 20 20 25 32 40 50 32 40 50 63 80 100 40 50 63 80 100 125 50 80 125 200 63 100 160 250 80 100 160 250 80 125 200 315 125 200 315 500 - - - - - t 7 t 8 t9; t10 t 12 60 4000mm /u / u d0 r par T=F tt t r d0 mm /1 /d040t 40 /1/d060 5max /x mm 60 /1/d0 d0/11 80 80 /1/d0100 轴向和径向的跳动精度 Acceptance Tes

26、t Conditions 测试 测试 说明 说明 径向偏差决定垂直度 径向偏差t6取决于do和 /11 的有效变化。 径向偏差跳动。t7取决于do和 /12 的变化。 轴向偏差 预压和无间隙的单元各自的轴向 和径向的偏差 最高值是有效的 B u u 7 The highest value is valid. Coaxiat t between screw support axial line and output axial line depends on the variety of d or /12.0 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW 精密转造滚珠

27、丝杠 PRECISION ROLLED BALL SCREW ? ? F B-16B-17 Correct lubrication of ball bearing screws is not only a must to achieve the calculated lifetime,but has also an influence on a quiet running, on temperature rise during the operation as well as on the no load torque. Fundamentally, the oils and grease m

28、atch those of ball final acceptance test at THOMSON will be performed with an oil ISO VG100. Ball bearing screws can also be lubricated with grease. In this case longer lubrication intervals are possible. Generally the use of CL- oils or the use alloyed CLP - oils with EP-additives increase the corr

29、osion prevention and the resistance to aging. The correct viscosity depends on the circumference speed(so diameter and revolution), the ambient-and/or. on the anticipated operating temperature. The amount of oil required per ball circle depends on the revolving speed and amounts at approx. 3 to 6cm

30、/h. At submerged lubrication it suffices when at horizontal installation the oil level is the center of the lowest ball. 粘度的确定请参考下表 To establish the viscosity please use the following diagram KGT63 X 10 平均速度average speed nm=200min-1 运行温度Operating temperature t=25 For the nominal diameter 63 mm and n

31、m= 200 min-1 the left part of the diagram indicates a viscosity v1 of 110 mm2/s Projection of this value into the right diagram results in the intersection point with the temperature of 25 between ISO VG46 and ISO VG 68. To guarantee a sufficient lubrication film at all working conditions, the highe

32、r value should be chosen, in this case ISO VG68, at long operating times eventually even higher. From the following lubrication material list, corresponding oils with this viscosity class can be chosen. 润滑油Oil lubrication 通常，使用CL润滑油和带EP型添加剂的CLP型润滑油可起到更好的防腐防老化作用。适当的粘度取决于周转速（即直 径与转速），工作环境及预设运行温度，每一滚珠做

33、圆周运动所需油量取决于转速并近似每小时3至6立方厘米的油量。 当水平安装油位低于球中心时，采取注入式润滑。上面提到的油量已经足够了。 公称直径为63 mm，而且nm= 200 min-1图表左部分表示110mm的粘度v1 此值在图表左侧产生了25的交叉点，（在 ISO VG46 和 ISO VG 68之间）。为保证在任何条件下有足够的润滑层，应采 取更高的数值。 在这种情况下，如果运行时间长， ISO VG 68应更高。具有这种粘度级的相关润滑油可从后面的润滑原料例表中选取。 例如Example: Since at each stroke of the ball bearing screw,

34、even with the best wipers, a small quantity of grease from the nut escapes, and remains on the spindle. Therefore the grease supply decreases during the operation. Consequently the operation time of the ball bearing screw without re-lubrication is limited. To achieve the calculating lifetime L10 it

35、is therefore necessary, to either compensate the loss of grease through a central installation for lubrication or as a function of the application an adjusted lubrication plan. For manual re- lubrication an average value of 700 operating hours can be assumed. This indication varies largely as a func

36、tion of the machine construction and the application. Following the Walkpenetration greases are divided into NLGI-classes according to Din51818. Normally, for ball bearing screws,water resistant greases of class K2k20 (DIN51825)have to be used(operating temperature -20 to+120). In special cases grea

37、ses K1K-20 (at very high number of revolutions) and/or KP2K-20 (at high load and /or. low speed) are also possible. Avoid mixing greases of different saponification characteristics. At operating temperatures that are over or under the values indicate, a verification with the manufacturer is necessar

38、y. The grease quantity has to be defined, so that the cavities are approx.half full. Unnecessary temperature rise of the ball bearing screw by overgreasing is to be avoided by making sure that consumed grease or excess grease can escape. If the ball screw is vertically installed, a safety nut should

39、 be applied. This nut blocks the load in case the ball nut has been destroyed by excessive force. Installation of a rotating ball nutInstallation of a safety nut 使用实例 Application 润滑脂 Grease Lubrication 滚珠丝杠可采用润滑脂。这种润滑方式可延长使用寿命。 即使每个行程都有最佳的刮油环擦拭，仍会有少量油脂溢出并残留在主轴上。因此，运行过程中有油量会减少。如果不再 次润滑，运行寿命缩短。要达到设计寿命

40、是必要的。因此应采用中心润滑安装来补偿油损或调整润滑方式。手动润滑的平 均运行时间是700小时。这种手动润滑方式因机械构造及应用功能的不同而有所变化。 根据 Din51818，油脂的流动渗透性分别为NLGI级别。通常，耐水的K2K0(Din51825)级油脂必须用于滚珠丝杠。 （运行温度-20到+120）。在特殊情况下也可采用K1K-20和/或 KP2K-20 型油脂（高负载，低速度）。 避免具有不同皂化特征的油脂混合使用。当运行温度高于或低于指定值时，有必要与生产厂家联系解决。 必须确定认油脂质量，注油油位位于孔深的一半处。确保耗费的和多余的油脂及排除，以防因油脂过多导致不必要的升温。 润滑

41、 Lubrication 滚珠丝杠的适当润滑可以延长其使用寿命，还会影响其运行声音，温度以及非复合转矩。从根本上讲，润滑油和润滑脂应 与这种丝杠相匹配。 如果客户没有明确指定润滑剂，THOMSON公司使用 ISO VG100型润滑剂进行可行性测试。 螺杆直径 工作温度 旋转螺母的安装方式 如果把滚珠丝杠垂直安装时，应该用安全螺母一旦球式螺栓超载荷，此安全螺母可分担负载 旋转螺母的安装方式 安全螺母 B 3 相对粘性 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW B-18B-19 装配，润滑与安装 Installation, Lubrication, Assembly

42、 滚珠丝杠可在干燥的室内储存 6个月但应做到: 用Catrol DW36X安全涂层保护并与硅胶一起密封与 塑料袋内 1. 储存/包装Storage/Packaging Ball screws can be stored up to 6 months in dry rooms subject to: Preservation with Catrol Safecoat DW36X. Ball screws are sealed in a plastic bag together with silica gel. 2. 安装Installation 2.1 扣错会缩短寿命Misalignment r

43、educes life 2.2 安装前必须用溶剂清洗丝杠 Prior to installation ball screws must be cleaned by a solvent 2.3 清洗后必须采取适当的润滑 After cleaning, ball screws must be lubricated with the appropriate lubricant 3. 客户进行润滑剂润滑 Lubrication Performed By The Custome 4. 由客户卸下螺母 Dismantling of Ball Nut By Customer Dismantling shou

44、ld be avoided if at all possible. To avoid losing balls, nut must be screwed on a sleeve(see below). 5. 由客户配装Assembly by customer Assembly is done by repeating the operation in the opposite order. Do not force ball nut on ball screw shaft. 6. 由客户进行螺母测试Adjustment of ball nut by customer If you need q

45、uestion for adjusting preload for preload and Non-backlash type, please contact us. 7. 滚珠丝杠轴端的加工Journal machining on ball screw shafts If you need an end-machining, please contact us with drawing. 几点注意Few points to note: Cover ball nut on ball screw shaft. Remove hardness zone by grinding or anneali

46、ng at approx.900and subsequent turning. Straighten ball screw shaft if required. 尽量避免拆卸螺母必须用螺丝固定在假轴上，以防止滚珠脱落 装配是通过反方向连续运转完成的不要强行将螺母安装于螺杆轴上 如客户需要对螺母进行预压或间隙的调整，请与SBC联系 如客户需要对滚珠丝杠轴端进行加工，请附上图纸与SBC联系 螺母旋于螺杆上 硬区产生是通过研磨或在大约9 0 0高温退火后连续旋转所产生的 必要时进行螺杆校直 滑动 锁动 螺杆 螺母 B 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW B-20

47、B-21 精密转造滚珠丝杠 Rolled Ball Screw Product 订购示例 Ordering Example 丝杠直径 丝杠导程 STK1605S800/1000C5AB 产品选型 Product Selection Ball Screw STK Precision Rolled Ball Screw MBS Miniature Rolled Ball Screw SLK Long Lead Rolled Ball Screw Non-Preload STK,SLK Non-Backlash STK,SLK Preload STK, SLK Non-Backlash Preloa

48、d Screw Dia (mm) Screw Lead 螺母类型 Nut Type STK- 法兰型 Flange Type SLK- 大导程法兰型 Long-Lead Flange Type MBS- 微型 Miniature 预紧Preload 螺纹长度Thread Length (mm) 丝杠长度Total Length (mm) 精度等级Precision 轴端加工（马达）Screw End-Machining (Motor) 轴端加工（无马达）Screw End-Machining (Non-Motor) C5 C7 S : 间隙型 Clearance Type A : 无间隙型 N

49、on-backllash Type (mm/rev) 12 16 20 25 32 40 50 63 80 04 05 10 20 25 40 STK精密转造滚珠丝杠 MBS微型转造滚珠丝杠 SLK大导程精密转造滚珠丝杠 滚珠丝杠 无预紧 无间隙 无间隙 预紧预紧 B 精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW B-22B-23 STK型精密转造滚珠丝杠 Precision Rolled Ball Screw STK Type Part Number STK1605 - 3 - R STK2005 - 4 - R STK2505 - 4 - R STK2510 - 4 - R STK3205 - 4 - R STK3210 - 4 - R STK4005 - 4 - R STK4010 - 4 - R 3X1 4X1 4X1 4X1 4X1 4X1 4X1 4X1 15.6 19.6 24.6 24.6 31.6 31.6 39.6 39.6 5 5 5 10 5 10 5 10 3.5