The constant speed grinding of camshaft copying

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Summary: The article gave out the computational method of grinding of camshaft copying constant speed, the grinding machine of profile modeling camshaft that makes constant speed grinding for the design provided academic basis. Keyword:   of ▲ of grinding of camshaft copying constant speed is in camshaft copying, if camshaft divide evenly fast roll, criterion the grinding career that cutting chooses and acceleration change are very big, speed of the biggest grinding and speed of the smallest grinding differ amount to 16 times [1] . The change of grinding speed is one of main reasons that cause cam outline error. Cam outline is the biggest the position of the error, in speed of the biggest grinding around. The method that used section speed change at present lowers rate of the biggest grinding, reduced the biggest error of cam outline thereby. To raise the treatment precision of cam further, the article gave out when camshaft copying, the computational method of constant speed grinding. The grinder of profile modeling camshaft that is grinding of design constant speed and transform existing machine tool, offerred theory of a decisive technology. The fundamental of 1 camshaft copying is in cam copying, if take no account of the production error of cam pattern plate, the movement of cam pattern plate is right be done not have to affect by the grinding speed of treatment cam. Here premise falls, the article undertakes athletic analytic to the constant speed grinding of camshaft copying. By document [2] know, the copying of camshaft is shown 1 times like the graph. Camshaft 2 with cam pattern plate (graph 1 in omited) rigid connection is on electromotor axis. They circle O2 to nod what be A1 relative to length to place a 1 roll. Place frame 1 circle O1 to nod opposite frame 5 swing. Radius is the emery wheel of Rs, circle O3 to nod opposite frame 5 roll. O1 nods the distance that nods to O3 to be A3. When camshaft places a 1 roll relatively with angular velocity ω , cam pattern plate and the gyro wheel that contact with its (graph 1 in omited) the interaction between, make place frame 1 the dot that circle O1 swings. At this moment cam 2 with emery wheel 3 in K point contact. Graph if the athletic analysis of grinding of 1 cam profile modeling takes no account of grinding surplus the influence to treatment, can analyse by the motion below, reach the treatment of constant speed grinding controls a method. The constant speed grinding of 2 camshaft copying sets the absolute velocity that cam nods in K to be Uk, want to realize the constant speed grinding of camshaft, should make the | of modular | Uk of Uk is constant only can. By mechanical principle [3] know, the absolute velocity that cam K nods is Uk, be equal to place frame on the vector that the K on the speed Uk1 that K nods and cam nods the relative speed Uk21 that wears to placing and. Namely Uk=Uk1+Uk21     (1)   by the graph 1 know, the N-n connecting a line of K dot and O3 dot is the fair normal of cam and dot of emery wheel contact. So the cam driven with K point contact roller 4(is the) that the hypothesis adds, o4 of its centre of turning circle is nodded, also go up in normal N-n. The distance R that O4 dot nods to O2 is cam theory outline be worth to diameter, the included angle of it and normal N-n is α N. α N can be begged from inside cam mechanism piece. For example, should be machined cam is to move driven continuously cam, if pursue,2 are shown. Set driven motion curve is S=s(φ ) , rb of radius of H of eccentric throw E, journey, basic circle, S0=R2b-e2, so α N can request a plan by the formula below 2 move driven continuously   of cam S2=s0+H-s   (2)   (3)     (4)   (5)     (6) sets   (7)   (8) skill (3) , (4) is begged to time respectively guide, φ of your ω =d / Dt gets   of DR/dt=A ω   (  of   of 9)d α N/dt=B ω (10) is in O1O2O3 of △ O4O2O3, △ and △ O1KO3, β of the 2= that set β + β 1,   (11)     (12) β 1=cos-1 [(A22+a23-a21)/2a2a3]       (13) δ =tg-1 [2) of β of Rssin β 2/(a3-Rscos]     (14)     (° of 15) γ K=180 -   of   of β 2- δ (16) sets     (17)   , get   of Da2/dt=C ω   (20)d β /   of Dt=D ω   (  of   of 21)d β 1/dt=E ω (22) skill (14) is begged to time guide, consideration type (21) , (22) , get placing wearing the angular velocity ω of 1 1 for   (23) because Uk21 ⊥ Rk, uk ⊥ N-n, so the included angle of Uk and Uk21, the clip that is equal to Rk and N-n hands in α K. The included angle that sets Uk1 and normal is γ , the ° of K=90 of included angle γ as a result of Uk and Uk1 + γ , and the O1KO3 of included angle ∠ of A(a=O1K) and N-n also is 90 ° + γ , so ∠ O1KO3= γ K, γ K is OK by △ beg in O1KO3 piece. In speed triangle, can build the equation Uk1cos below   of   of K=Uk of γ K+Uk21cos α (24) because Uk1=a ω 1, uk=Rk ω , so   (25) basis is machined the need of cam, after the size Uk that gives grinding rate, use type to beg a camshaft (namely drive electromotor) angular velocity, control electromotor roll can realize the constant speed grinding of camshaft. 3 conclusion the article undertook to camshaft copying detailed motion is analysed, gave out when grinding of camshaft constant speed, the computational method of drive electromotor angular velocity, the grinding machine of profile modeling camshaft that makes constant speed grinding for proper design provided academic basis. CNC Milling