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12.1 ANSI/AGMA 6022-C93 (R2000), Design Manual for Cylindrical Wormgearing. 12.2 ANSI/AGMA 6035-A02, Design, Rating and Application of Industrial Globoidal Wormgearing.
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ANSI/AGMA 6034-B92 (R1999), Practice for Enclosed Cylindrical Wormgear Speed Reducers and Gearmotors.
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See Ref. [12.2].
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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13.1 INTRODUCTION / 13.2 13.2 KINEMATICS / 13.3 13.3 MECHANICS / 13.6 13.4 BUCKLING AND DEFLECTION / 13.8 13.5 STRESSES / 13.9 13.6 BALL SCREWS / 13.10 13.7 OTHER DESIGN CONSIDERATIONS / 13.12 REFERENCES / 13.13
LIST OF SYMBOLS
A A(t) C d dc dm dr E F Fc G h I J k L Lc n ns Area Screw translation acceleration End condition constant Major diameter Collar diameter Mean diameter Root or minor diameter Modulus of elasticity Load force Critical load force Shear modulus Height of engaged threads Second moment of area Polar second moment of area Radius of gyration Thread lead Column length Angular speed, r/min Number of thread starts
13.1 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
POWER SCREWS 13.2
GEARING
Ne Pi p Sy Tc Ti TR TL t V(t) w Wi Wo n x t c
Number of engaged threads Basic load rating Thread pitch Yield strength Collar friction torque Basic static thrust capacity Raising torque Lowering torque Time Screw translation speed Thread width at root Input work Output work Flank angle Normalized flank angle Thread geometry parameter Screw translation Screw rotation Efficiency Lead angle Coefficient of thread friction Coefficient of collar friction Normal stress von Mises stress Shear stress Helix angle
13.1 INTRODUCTION
Power screws convert the input rotation of an applied torque to the output translation of an axial force. They find use in machines such as universal tensile testing machines, machine tools, automotive jacks, vises, aircraft flap extenders, trench braces, linear actuators, adjustable floor posts, micrometers, and C-clamps. The mechanical advantage inherent in the screw is exploited to produce large axial forces in response to small torques. Typical design considerations, discussed in the following sections, include kinematics, mechanics, buckling and deflection, and stresses. Two principal categories of power screws are machine screws and recirculatingball screws. An example of a machine screw is shown in Fig. 13.1. The screw threads are typically formed by thread rolling, which results in high surface hardness, high strength, and superior surface finish. Since high thread friction can cause self-locking when the applied torque is removed, protective brakes or stops to hold the load are usually not required.
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
POWER SCREWS 13.3
POWER SCREWS
FIGURE 13.1 Power screw assembly using rolled thread load screw driven by worm shaft and gear nut. (Simplex Uni-Lift catalog UC-101, Templeton, Kenly & Co., Inc., Broadview, Ill., with permission.)
Three thread forms that are often used are the Acme thread, the square thread, and the buttress thread. As shown in Fig. 13.2, the Acme thread and the square thread exhibit symmetric leading and trailing flank angles, and consequently equal strength in raising and lowering. The Acme thread is inherently stronger than the square thread because of the larger thread width at the root or minor diameter. The generalpurpose Acme thread has a 141 2-degree flank angle and is manufactured in a number of standard diameter sizes and thread spacings, given in Table 13.1. The buttress thread is proportionately wider at the root than the Acme thread and is typically loaded on the 7-degree flank rather than the 45-degree flank. See Refs. [13.1], [13.2], [13.3], and [13.4] for complete details of each thread form. Ball screws recirculate ball bearings between the screw rod and the nut, as shown in Fig. 13.3. The resulting rolling friction is significantly less than the sliding friction of the machine screw type. Therefore less input torque and power are needed. However, motor brakes or screw stops are usually required to prevent ball screws from self-lowering or overhauling.
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