The geometrical angle of milling cutter of head of ball of face of the knife before making the same score is analysed

Three-dimensional surface processes the work that ball head milling cutter uses extensively already at having intricate geometry figure. In the ball head milling cutter of all sorts of types, the ball head milling cutter that has side of the knife before making the same score has a structure simple, design easily make, facilitate grind again wait for a characteristic. The cutting function of milling cutter of head of ball of face of the knife before be being made the same score for research, the computer that builds the cutting force that leaves pushball head milling cutter in different cutting condition, torque and cutting power forecasts a model, must undertake analytic study to the geometrical parameter of pushball head milling cutter above all. The geometrical angle that the article drafts milling cutter of pair of head of ball of face of the knife before making the same score -- include edge parameter equation, method dip of forward horn, blade, tool cutting edge angle make one analysis. Milling cutter of head of ball of face of the knife before making the same score can be regarded by sphere of cylinder and semicircle two parts are formed, its edge is formed jointly by spherical curve and columnar corkscrewed yarn. Graph the 1 coordinate system sketch map that is milling cutter of head of ball of face of the knife before making the same score. Graph sketch map of system of coordinate of milling cutter of head of ball of face of the 1 knife before making the same score pursues 1 in, OU-XUYUZU is the department of cutting tool coordinate with couplet of solid of ball head milling cutter, ZU axis and coincide of line of milling cutter center, coordinate origin OU is the center of semicircle ball, in initiative cutting position, XU axis is in for edge perpendicular within the plane of ZU axis umbriferous the tangent that is in in origin. The A-A plane in the graph is pushball head milling cutter namely before knife face, this plane and YUOUZU coordinate plane are perpendicular and intersect with XUOUZU coordinate plane Gn horn. The corner parameter W on face of the knife before introducing, when pellet radius is R, spherical on a bit more aleatoric coordinate can express to be a basis type (1) , edge assumes office the tangent vector of a bit and tangent unit vector 0 can express to be a basis respectively type (3) , the law section equation of this bits on knowable edge is milling cutter of head of CoswXu+singnsinwYu+cosgnsinwZu+D=0 (4) pushball before knife face equation is - CtggnYu+ZU+R=0 (5) right now, the equation of tool reference plane on edge is Singn(1-cosw)Xu-sinwYu=0 (6) equation (4) , (5) couplet stands, beg those who give side of the knife before law section and milling cutter to cross a line, change brief for unit vector, have (7) general equation (4) , (6) couplet stands, beg those who give law section and milling cutter tool reference plane to cross a line, change brief for unit vector, have (the law of this bits on 8) edge is forward horn is equation (7) , (the included angle between the two units vector that 8) place represents, namely (9) type (9) makes clear, the either dot on the pellet share the crucial point of milling cutter of head of ball of face of this kind of knife before making the same score all has same way forward horn, its size and face of the knife before making the same score and the angle of cut with XUOUZU planar coordinate are equal. Graph 1 in, what Y horn is edge to went up in XUOUYU plane is umbriferous with coordinate origin connect the included angle between line and XU reference axis, the arrowy path that F horn chooses for the random on edge arrives the corner of XUOUYU plane, y and F can express to pursue for Tany=Yu/Xu=singn(1-cosw)/sinw (10) Sinf=-Zu/R=sin2g N+cos2gncosw (11) respectively 1 in, vector is the tangent on the passes hemisphere acme at this o'clock big circle on edge, of the tool reference plane that should order on edge namely and tool cutting edge plane cross a line, change brief define to can be written into the basis after unit vector, the blade dip Ls of this bits on edge is the 0 included angle with 0, namely Cosls CNC Milling