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内蒙古工业大学学报 JOURNAL OF INNER MONGOLIA 第 22 卷 第 2 期 POL YT ECHNIC UNIVERSIT YVol. 22No. 2 2003 文章编号: 1001- 5167( 2003)02-0153-04 Inner Mongolia Polytechnic University Department of Mechanical Engineering T he 11thSino-Polish Conference on CAD in Machinery Huhhot, China, October 2002 ZHANG Ye College of Mechanical Engineering, Inner Mongolia Polytechnic University, Huhhot, 010062 THREE-DIMENSIONAL ENT ITY MODEL AND MOVEMENT EMULATION OF REDUCER BASED ON UG PLANE Abstract: This article introduces to modeling for reducer with three- dimensional entity by MOSWLING module in the latest edition UG NX of UG software, which mainly concern with model of the main components such as shaft, gear, gear shaft, mount and cover and complete corresponding assembly. Then, carry out movement emula- tion for all the assembly with MOT ION module. Keywords: UG; three-dimensional entity model; reducer; emulation UG is three-dimensional entity model plane which integrates CAD/ CAM/ CAE, and is computer aided design, analysis and manufacture software which is used widely in the world. There are several problems should be paid attention to in this article: involutes tooth profile model of gear teeth, hol- lowing operation of cover when modeling, location between gear shaft and gear when assembling. 1 Plotting involutes tooth profile of gear teeth Involutes tooth profile of gear teeth can be plotted with “expression“ in UG 3 . On the other hand, this article program for involutes tooth profile of gear teeth with VC+ + 6. 0 and save coordi- nate value of tooth profile surface in corresponding data file, and plot involutes tooth profile of gear teeth using “read point from file“ in spline with the defined point. Polar coordinates parameter equation of involutes is 4 rk= rb cos?k ?k= inv?k= tg?k- ?k make rkand?kgo to xk= rkcos?k yk= rksin?k and spreadwithtrigonometric expressions,canget: xk= rb cos( ?k+ ?k) + ( ?k+ ?k) sin( ?k+ ?k) yk= rb sin( ?k+ ?k) - ( ?k+ ?k) cos( ?k+ ?k) Here rkis radius of involutes tooth profile at K point, ?kis angle of involutes at AK segment, rbis base radius and ?kis pressure angle at K point. Fig. 1Fig. 2 Program with VC+ + 6. 0 and change ( ?k + ? k) from 0 to 180, can get corresponding xkand yk, and save them in corresponding data file jkx. dat. The results like Fig. 1. InsertCurveSpline in UG main menu , click “Through Points“ button after showing dia- logue, then the system show dialogue Spline Through Points like Fig. 2. Click “Points From File“ button and select before-mentioned data file jkx. dat, can get corresponding involutes like Fig. 3. Fig. 3 154 内蒙古工业大学学报2003 年 Because tooth thickness and tooth spacewidth of reference circle is equality, the opposite center angle of gear teeth and tooth space is equality, then the opposite center angle of half tooth thickness is 1 2 360 2 z , viz 90 z , here z is number of teeth. XC axis should be rotated ?k+ 90 z and make the above ?k expression go to, corner is tg?k- ?k+ 90 z . Because of the pressure angle of reference circle of standard gear is 20 , so XC axis should be rotated ( tg20 - 203. 1415926/ 180 ) 3. 1415926180 + 90 z . Plot a line at XC axis, and select the line as center of mirror and mirror involutes with “Existing Line“ in “ Mirror Through a Line“. T he radius of the angle between tooth profile surface and roof is = c*m 1- sin?i, here m is module, ? iis nominal pressure angle, c*is bottom clearance coefficient 2. At last, can get three-dimensional entity model of gear with tripping, cornering and stretching. like Fig. 4. Fig. 4 At the same method, can get gear teeth involutes tooth profile of gear shaft. 2 Some problems should be paid attention to when modeling cover Hollow cover after completing the whole model of cover, can get partial entity and cant get the perfect full entity. Here, we use “Region“ in “Hollow“ and change cover into two parts: bearing seat, protuberant level and boarding body which is connect with mount is one part, the other is another part, and hollow separately. The key point is the two parts cannot Unite before hollowing and must be United after hollowing. We think the complicated body should be disintegrated into simple bodies and be hollowed separately, then Unite. 155 第 2 期 ZHANG Ye Three-Dimensional Entity M odel and Movement Emulation 3 Location of gear shaft and gear when assembling Axial location between gear and gear shaft is not confirmed when they are assembled on mount, so intervening can happen among gear teeth. T here are eight types restriction in UG 1 , such as Mate, Align, Angle, Parallel, Perpendicular, Center, Distance and T angent, but they all cannot set up mating relation of two gears. T herefore, it is necessary to plot corresponding location surface during the course of entity model of gear shaft and gears. Here we plot centerline of tooth space of gear shaft and centerline of gear teeth and the two lines should be kept parallel each other during the course of assembly, so the intervening among teeth can be avoided. We keep the above two lines separately par- allel with fringe lines of mount with Parallel restriction relation, so the two lines may be parallel more. T hereby, gear teeth cannot intervene during the course of engagement. We complete three- dimensional entity model of the main components of reducer. Then, we make movement emulation for it. First, establish movement analysis case, and gear shaft and bearing inside track is link 1, and shaft, gear, fixed-distance loop and corresponding bearing inside track is link2. Then, set up Joint for movement unit, namely set up Revolute between gear shaft and gear separate- ly. At last, set up Compound -Gear of revolute1 and 2. Select Kinematic/ Dynamic Analysis in Ani- mation, and input T ime and Step, we can make movement emulation for reducer. Reference: 1 Guangli Zhang, Peng Zhang, Xue Hong, UG18 BASIC TU TORIAL Beijing: publishing company of Q
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