滚珠丝杠选型计算

滚珠丝杠的选型方法及计算

B

精密转造滚珠丝杠SBC Precision Rolled Ball Screw

B-1

滚珠丝杠的选型方法及计算

精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW

估算速度 Calculation Speed容许等级P Tolerance Class P

转速 Rotational Speed:

※ d 0:丝杆直径 Screw Diameter

Critical Rotational Speed n cr[min -1]

临界速度

f crs[参考 see D-3]

安全系数 Safety Factor容许值 Permissible

标志 index p

支撑方法

图表 Diagram临界速度 n cr与公称直径和非支撑螺母的最大长度/cr有关注：Remarks 1)最大转速就是容许范围内的最大速度。 容许转速是n/和n crp的最小值。

Critical speed (1st order) ncr as a function of nominal- o d 0 and the max. unsupported screw length/cr.

The rotational speed limit is the result of the maximum perimissible ball speed. The permissible speed is the lowest of the values n/ and ncrp .建议根据客户要求提供支撑方式。 Support recommendation on request.

滚珠丝杠的选型方法及计算

精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW

扭曲负荷计算 Calculation Buckling

扭曲负荷 Buckling

型号 Example: 6310支撑方法 Support 3

图解 Diagram根据型号与运行的最大长度/ c来确定最大扭曲负载 Fc。

Max load Fc as a function of size and max.column length/

c

*扭曲负载 Buckling

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。

Compression loads (where force pushes on bearing and support) tend to cause the screw shaft to bend, requiring 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.)标志 index p容许值 permissible

滚珠丝杠的选型方法及计算

精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW

寿命计算 Calculation LIfe根据负荷计算寿命Life as a function of load1605(无间隙型Non- Backlash) 1605 1605(间隙型Backlash) 2002(间隙型Backlash) 2005(间隙型Backlash) 2525(间隙型Backlash) 2505 3205(间隙型Backlash) 2510 2510 3210(间隙型Backlash) 4005(间隙型Backlash) 3210 4005例

4010(间隙型Backlash) 4020 4040 4010 5020 5020 5010(间隙型Backlash) 5010 6310(间隙型Backlash) 6320 8010(间隙型Backlash) 6310 8010 8020(间隙型Backlash) 8020

3220

尺寸要求

注 Notes L 10= DIN 69051/ 2 x 10 6[ revs]根据公式计算额定寿命 L 10= Nominal life expectancy to DIN 69051/ 2 x 10 6[ revs]F m参考see D-8 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。 The calculation and diagrams on pages D-2~9 only apply as an approximation. Please contact us if and accurate calculation is required

滚珠丝杠的选型方法及计算

精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW

寿命计算 Calculation Life Mounting额定寿命Life Expectancy冲击负载 Load Impact最

佳条件 Optimum In case of radial loads please contact us如需特殊径向负载，请与SBC联系。

安装公差 Mounting Tolerances

额定寿命 Modified Life In Revolutions

Equivalent Rotational Speed[rev] Equivalent Load[N] Modified Dyn. Load Rating[N]根据DIN69 051/4的负荷进行寿命计算基本动负载率[N]平均负载[N]

平均转数

根据时间计算 Modified Life In Hours

Load rating/life calculation as a function of load to DIN 69 051/4

滚珠丝杠的选型方法及计算

精密转造滚珠丝杠 PRECISION ROLLED BALL SCREW

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。 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.把转动转化为直线运动时的理论效率把直线运动转化为转动时的理论效率

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：

B B

When converting torque into linear motion, the necessary drive torque is: F P ho[Nm] Ta= 2000 p

When converting linear motion into torque, the resulting output torque is: F Ph o ' p[Nm] Ta= 2000 p

The theoretical efficiency ( ). when converting torque into linear motion, is:

The theoretical efficiency ( ). when converting linear motion into torque, is:

摩擦角度 Friction Angle

”= 0.23: P1~P4”= 0.34: P5~P9O O

滚珠丝杠的总强度 Rigidity Miscellaneous滚珠丝杠的总强度R tot是由其螺杆强度R S共同构成的。 R nuar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。

=

P h0 tan with tan= d0 tan (+" )

=

P h0") tan ( with than= d0 tan ( )

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C am之差在0.5以下，那负载系数f 1应进一步减小(见下图)。对于滚珠丝杠而言，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。

For operational influences such as speed, temperature, lubricant, etc., approx. 5% o f t h e theoretical efficiency will be deducted. If the relation between the load F and the dynamic load rating C am is below 0.5, then an additional reduction in relation to the load factor f/ (see table) below)is to be applied. The efficiency calculated on this basis applies for the ball screw including lubrication but without considering wipers or shaft support. If an improvement of the efficiency is required, we kindly request you to contact us. F Cam 0.4 0.3 0.2 0.1

tot s nu螺杆强度取决于其支撑方法的变化。

The total rigidity of R tot of a ball screw is formed by rigidity of the screw shaft R S and that of the nut unit R nuar. 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: 1 1 1[ N/u m]=+ R R R The rigidity of the screw shaft depends on the support characteristics:一端支撑 Rigid mounting at one end两端支撑 Rigid mounting at both ends

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