TAILIEUCHUNG - Standard Handbook of Machine Design P43

CHAPTER 36 WORM GEARING K. S. Edwards, . Professor of Mechanical Engineering University of Texas at El Paso El Paso, Texas INTRODUCTION / KINEMATICS / VELOCITY AND FRICTION / FORCE ANALYSIS / STRENGTH AND POWER RATING / HEAT DISSIPATION / DESIGN STANDARDS / DOUBLE-ENVELOPING GEAR SETS / REFERENCES / ADDITIONAL REFERENCE / GLOSSARY OF SYMBOLS bG C d d0 dR D Db D0 D1 / hk ht L mG m0 mp nw nG Dedendum of gear teeth Center distance Worm pitch diameter Outside diameter of worm Root. | CHAPTER 36 WORM GEARING K. S. Edwards . Professor of Mechanical Engineering University of Texas at El Paso El Paso Texas INTRODUCTION KINEMATICS VELOCITY AND FRICTION FORCE ANALYSIS I STRENGTH AND POWER RATING HEAT DISSIPATION I DESIGN STANDARDS DOUBLE-ENVELOPING GEAR SETS REFERENCES ADDITIONAL REFERENCE GLOSSARY OF SYMBOLS ba Dedendum of gear teeth C Center distance d Worm pitch diameter d0 Outside diameter of worm dR Root diameter of worm D Pitch diameter of gear in central plane Db Base circle diameter Do Outside diameter of gear D Throat diameter of gear f Length of flat on outside diameter of worm hk Working depth of tooth ht Whole depth of tooth L Lead of worm mG Gear ratio Na Nw m Module millimeters of pitch diameter per tooth SI use mp Number of teeth in contact n Rotational speed of worm r min nG Rotational speed of gear r min STANDARD HANDBOOK OF MACHINE DESIGN Na Number of teeth in gear Nw Number of threads in worm pn Normal circular pitch px Axial circular pitch of worm P Transverse diametral pitch of gear teeth per inch of diameter W Force between worm and gear various components are derived in the text X Lead angle at center of worm deg 4 Normal pressure angle deg j x Axial pressure angle deg at center of worm INTRODUCTION Worm gears are used for large speed reduction with concomitant increase in torque. They are limiting cases of helical gears treated in Chap. 35. The shafts are normally perpendicular though it is possible to accommodate other angles. Consider the helical-gear pair in Fig. with shafts at 90 . The lead angles of the two gears are described by X lead angle is 90 less the helix angle . Since the shafts are perpendicular X X2 90 . If the lead angle of gear 1 is made small enough the teeth eventually wrap completely around it giving the appearance of a screw as seen in Fig. . Evidently this was at some stage taken

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