机械设计基础-凸轮反转法

单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,4.3,反转法,整个机构反转,使凸轮回到原来位置,凸轮回到原来的位置,则相当于凸轮不转,而从动件反转一个凸轮转动的角度,凸轮不动,从动件反转,纸上凸轮转不了,反转角,(,凸轮转角,),位移,凸轮轮廓上的点,凸轮不动,从动件反转,反转角,(,凸轮转角,),位移,凸轮轮廓上的点,凸轮不动,从动件反转,反转角,(,凸轮转角,),位移,凸轮轮廓上的点,凸轮不动,从动件反转,反转角,(,凸轮转角,),位移,凸轮轮廓上的点,凸,轮,轮,不,不,动,动,从,动,动,件,件,反,反,转,转,反,转,转,角,角,(,凸,轮,轮,转,转,角,角,),位,移,移,凸,轮,轮,轮,轮,廓,廓,上,上,的,的,点,点,凸,轮,轮,不,不,动,动,从,动,动,件,件,反,反,转,转,反,转,转,角,角,(,凸,轮,轮,转,转,角,角,),位,移,移,凸,轮,轮,轮,轮,廓,廓,上,上,的,的,点,点,凸,轮,轮,不,不,动,动,从,动,动,件,件,反,反,转,转,反,转,转,角,角,(,凸,轮,轮,转,转,角,角,),位,移,移,凸,轮,轮,轮,轮,廓,廓,上,上,的,的,点,点,A,O,B,B,A,O,A,二,、,、,凸,凸,轮,轮,设,设,计,计,的,的,步,步,骤,骤,1,、,确,确,定,定,基,基,圆,圆,、,、,偏,偏,距,距,圆,圆,3,、,设,设,计,计,理,理,论,论,廓,廓,线,线,2,、,确,确,定,定,从,从,动,动,件,件,运,运,动,动,规,规,律,律,4,、,设,设,计,计,实,实,际,际,廓,廓,线,线,基,圆,圆,偏,距,距,圆,圆,理,论,论,廓,廓,线,线,实,际,际,廓,廓,线,线,1,、凸轮廓线设计方法的基本原理,一、凸轮轮廓曲线的设计,反转原理：,依据此原理可以用几何作图的方法,设计凸轮的轮廓曲线，,例如：,-,给整个凸轮机构施以,-,时，不影响各构件之间的相对运动，此时，凸轮将静止，而从动件尖顶复合运动的轨迹即凸轮的轮廓曲线,。,2,、用作图法设计凸轮廓线,尖顶凸轮绘制动画,滚子凸轮绘制动画,e,A,-,偏,置,置,直,直,动,动,尖,尖,顶,顶,推,推,杆,杆,凸,凸,轮,轮,机,机,构,构,中,中,，,，,已,已,知,知,凸,凸,轮,轮,的,的,基,基,圆,圆,半,半,径,径,r,0,，,角,速,速,度,度,和,推,推,杆,杆,的,的,运,运,动,动,规,规,律,律,和,和,偏,偏,心,心,距,距,e,，,设,计,计,该,该,凸,凸,轮,轮,轮,轮,廓,廓,曲,曲,线,线,。,。,s,60,120,90,90,1,3,5,7,8,1,3,5,7,8,9,11,13,15,9,11,13,12,14,1,2,3,4,5,6,7,8,k,1,k,2,k,3,k,5,k,4,k,6,k,7,k,8,15,14,13,12,11,10,9,k,9,k,10,k,11,k,12,k,13,k,14,k,15,1,2,3,4,5,6,7,8,15,14,13,12,11,10,9,0,凸,轮,轮,理,理,论,论,廓,廓,线,线,设,设,计,计,的,的,基,基,本,本,原,原,理,理,反,转,转,法,法,s,o,s,60,120,90,90,1,3,5,7,8,1,3,5,7,8,9,11,13,15,9,11,13,12,14,e,A,-,1,2,3,4,5,6,7,8,k,1,k,2,k,3,k,5,k,4,k,6,k,7,k,8,0,s,60,120,90,90,1,3,5,7,8,1,3,5,7,8,9,11,13,15,9,11,13,12,14,e,A,-,1,2,3,4,5,6,7,8,k,1,k,2,k,3,k,5,k,4,k,6,k,7,k,8,0,e,A,-,e,A,-,e,A,-,e,A,-,e,A,-,e,A,-,摆,动,动,尖,尖,顶,顶,推,推,杆,杆,凸,凸,轮,轮,机,机,构,构,中,中,，,，,已,已,知,知,凸,凸,轮,轮,的,的,基,基,圆,圆,半,半,径,径,r,0,，,角,速,速,度,度,，,摆,动,动,推,推,杆,杆,长,长,度,度,l,以,及,及,摆,摆,杆,杆,回,回,转,转,中,中,心,心,与,与,凸,凸,轮,轮,回,回,转,转,中,中,心,心,的,的,距,距,离,离,d,，,摆,杆,角,角,位,位,移,移,方,方,程,程,，,，,设,计,计,该,该,凸,凸,轮,轮,轮,轮,廓,廓,曲,曲,线,线,。,。,5),摆,动,动,尖,尖,顶,顶,推,推,杆,杆,盘,盘,形,形,凸,凸,轮,轮,机,机,构,构,A,1,A,2,A,3,A,4,A,5,A,6,A,7,A,8,B,1,B,2,B,3,B,4,B,5,B,6,B,7,B,8,120,60,90,B,1,1,B,2,2,B,3,3,B,4,4,B,5,5,B,6,6,B,7,7,-,r,0,A,B,l,d,60,120,90,90,1,2,3,4,1,2,3,4,5,6,7,8,5,7,6,8,2,R,V=,R,v,R,V,6),直动推杆圆柱凸轮机构,思路：,将圆柱外表面展开，得一长度为,2,R,的平面移动凸轮机构,，,其移动速度为,V=,R,，,以,V,反向移动平面凸轮，相对运动不变，,滚子反向移动后其中心点的轨迹即为,理论轮廓,，其,内外包络线,为实际轮廓,。,B,v,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1,V=,R,V,2,R,s,6),直,动,动,推,推,杆,杆,圆,圆,柱,柱,凸,凸,轮,轮,机,机,构,构,已,知,知,：,：圆,柱,柱,凸,凸,轮,轮,的,的,半,半,径,径,R,，,从,从,动,动,件,件,的,的运,动,动,规,规,律,律，,设,设,计,计,该,该,圆,圆,柱,柱,凸,凸,轮,轮,机,机,构,构,。,。,v,R,s,1,2,3,4,5,6,7,8,6,5,4,3,2,1,7,A,R,7),摆,动,动,推,推,杆,杆,圆,圆,柱,柱,凸,凸,轮,轮,机,机,构,构,已,知,知,：,：圆,柱,柱,凸,凸,轮,轮,的,的,半,半,径,径,R,，,滚,滚,子,子,半,径,径,r,r,从,动,动,件,件,的,的,运,运,动,动,规,规,律,律,，,，,设,设,计,计,该,该,凸,凸,轮,轮,机,机,构,构,。,。,2,”,3,”,4,”,5,”,6,”,7,”,8,”,9,”,0,”,0,”,-,V,2,R,2r,r,1,”,A,V=,R,A,5,A,6,A,7,A,8,A,9,A,2,A,3,A,4,A,1,A,0,0,1,2,3,4,5,6,7,8,9,0,2,R,A,0,中,线,线,4,5,6,3,2,1,0,8,7,9,3.,用,解,解,析,析,法,法,设,设,计,计,凸,凸,轮,轮,的,的,轮,轮,廓,廓,曲,曲,线,线,3.1,偏,置,置,直,直,动,动,滚,滚,子,子,推,推,杆,杆,盘,盘,形,形,凸,凸,轮,轮,机,机,构,构,由,图,图,可,可,知,知,：,：,s,0,(r,0,2,-e,2,),1/2,实,际,际,轮,轮,廓,廓,线,线,为,为,理,理,论,论,轮,轮,廓,廓,的,的,等,等,距,距,线,线,。,曲,线,线,任,任,意,意,点,点,切,切,线,线,与,与,法,法,线,线,斜,斜,率,率,互,互,为,为,负,负,倒,倒,数,数,：,：,(1),求,导,导,得,得,：,：,dx/d,(ds/d,-,e)sin,+(s,0,+s)cos,dy/d,(ds/d,-,e)cos,-,(s,0,+s)sin,原,理,理,：,：反,转,转,法,法,。,。,设,计,计,结,结,果,果,：,：轮,廓,廓,的,的,参,参,数,数,方,方,程,程,。,。,式,中,中,“,”,对,应,应,于,于,内,内,等,等,距,距,线,线,，,，,“,”,对,应,应,于,于,外,外,等,等,距,距,线,线,。,。,实,际,际,轮,轮,廓,廓,为,为,B,点,的,的,坐,坐,标,标,：,：,x,=,y,=,x=,(s,0,+s)sin,+ecos,y=,(s,0,+s)cos,-,esin,tg,=,-,dx,/,dy,=(dx/d,),/,(,-,dy/d,),=sin,/,cos,(1),x,-,r,r,cos,(,x,y,),r,r,n,n,(,x,y,),(,x,y,),可得：,sin=(dx/d),/,(dx/d),2,+(dy/d),2,cos=,-,(dy/d),/,(dx/d),2,+(dy/d),2,y,-,r,r,sin,y,x,B,0,y,x,s,0,s,e,s,0,e,r,0,-,r,r,r,0,n,n,演,讲,讲,完,完,毕,毕,，,，,谢,谢,谢,谢,观,观,看,看,！,！,