Cardan Shafts for Industrial Applications - Dana
Cardan Shafts for Industrial Applications - Dana Cardan Shafts for Industrial Applications - Dana
General theoretical instructionsKinematics of Hooke’s joints1. The jointsIn the theory of mechanics, thecardan joint (or Hooke’s joint)is defined as a spatial or sphericaldrive unit with a non-uniformgear ratio or transmission. Thetransmission behavior of this jointis described by the followingequation:1a 2 = arc tan · tan(acosb 1)1b290°b = Deflection angle of joint [
General theoretical instructionsThe following diagram shows theratio i = ω 2 /ω 1 for a full revolutionof the universal joint for b = 60°.The degree of non-uniformity U isdefined by:U = i max. – i min. = tanb · sinbi21,51Where:0,5i max. =1cosbi min. = cosb0p/2 p 3p/2 2pa 1Angular difference ϕ K max.10°19°0,98°0,87°0,76°0,6ϕ K max.5°0,54°0,43°0,32°U0,21°0,10°0°0° 5° 10° 15° 20° 25° 30° 35° 40° 45°Deflection angle bDegree of non-uniformity UThe diagram shows the course ofthe degree of non-uniformity U andof the angular difference ϕ K max. asa function of the deflection angleof the joint from 0 to 45°.From the motion equation it isevident that a homokinematicmotion behavior correspondingto the dotted line under 45° – asshown in the diagram – can onlybe obtained for the deflectionangle b = 0°. A synchronous orhomokinematic running can beachieved by a suitable combinationor connection of two ormore joints.37
- Page 1: Cardan Shafts forIndustrial Applica
- Page 4: Today, there are basically two type
- Page 8 and 9: Survey of Spicer ® GWB TM cardan s
- Page 10 and 11: Special designs of Spicer ® GWB TM
- Page 13 and 14: Intermediate shafts*(available with
- Page 15 and 16: Data sheet series 687/688DesignL f6
- Page 17 and 18: Data sheet series 687/688DesignL f2
- Page 19 and 20: Data sheet series 587DesignL fStand
- Page 21 and 22: Data sheet series 390 Maximum beari
- Page 23 and 24: Data sheet series 392/393 High torq
- Page 25 and 26: Data sheet series 492 Maximum torqu
- Page 27 and 28: Data sheet series 498DesignL fFlang
- Page 29 and 30: Data sheet series 587/190 Super sho
- Page 31 and 32: Data sheet series 230 Quick release
- Page 33 and 34: Data sheet Flange connection with s
- Page 35 and 36: Data sheet Standard companion flang
- Page 37: Design features series 390/392/3931
- Page 41 and 42: Technical instructions for applicat
- Page 43 and 44: Technical instructions for applicat
- Page 45 and 46: Technical instructions for applicat
- Page 47 and 48: Technical instructions for applicat
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- Page 51 and 52: Selection of Spicer ® GWB TM carda
- Page 53 and 54: Additional information and ordering
- Page 55 and 56: GreeceSokrates Mechanics GmbH205, P
General theoretical instructionsThe following diagram shows theratio i = ω 2 /ω 1 <strong>for</strong> a full revolutionof the universal joint <strong>for</strong> b = 60°.The degree of non-uni<strong>for</strong>mity U isdefined by:U = i max. – i min. = tanb · sinbi21,51Where:0,5i max. =1cosbi min. = cosb0p/2 p 3p/2 2pa 1Angular difference ϕ K max.10°19°0,98°0,87°0,76°0,6ϕ K max.5°0,54°0,43°0,32°U0,21°0,10°0°0° 5° 10° 15° 20° 25° 30° 35° 40° 45°Deflection angle bDegree of non-uni<strong>for</strong>mity UThe diagram shows the course ofthe degree of non-uni<strong>for</strong>mity U andof the angular difference ϕ K max. asa function of the deflection angleof the joint from 0 to 45°.From the motion equation it isevident that a homokinematicmotion behavior correspondingto the dotted line under 45° – asshown in the diagram – can onlybe obtained <strong>for</strong> the deflectionangle b = 0°. A synchronous orhomokinematic running can beachieved by a suitable combinationor connection of two ormore joints.37
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