OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 7 1 5 Fig. 7. Diagram of determining the minimum radius vector for a mechanism with a pusher When writing a program to determine the minimum curvature radius, it is necessary to consider the interpolation of the radius vector values for the displacements of the cam mechanism’s roller center [12]. A listing of the program for determining the cam surface curvature is shown in Fig. 8. Fig. 8. Listing of a program for determining the curvature of the cam surface : 0..360 deg : 18 0 : ( ) : ( ) k k k x k th h k y t Discrete angle values Conversion of angle from degrees to radians Ve k f k v f locity analog in the k section along the x axis Velocity analog in the k section alo v f n = − π = ⋅ − = β − = ρ − − : ( , ) ( ) : int ( , , ) ( ) : ( ) it it i i t t R cspline vx vy f x erp R vx g the y axis Spline processing of the velocity analog value array Inter vy d df x f x d polation of the radius vector R array value First derivativ x e of the f = − − − = = − ( ) ( ) ( ) 2 2 1.5 2 2 2 2 1 2 ( ) : ( ) ( ) ( ) ( ) : ( ) 2 ( ) 2 ( ) ( ) : 0..28 it it it it cur it it i i t t t i x function ond derivative of the f x function Formula defining the radii of curvatur d d f x e of t f x dx f x df x x f x d he cam f x d f x f profi x l i e = − + ρ = − + ⋅ − ⋅ = Sec 1 1 1 1 1 1 1 1 0 deg : 180 : ( ) min( ) 0 1 .03 i i i cur cur cur Discrete angle values Conversion of angle from degrees to radians Radius of cu f i f rvature of the cam profile in section Minimum radius of curvature of − π = ⋅ − ρ = ρ − ρ = − 1 the profile in section Results and Discussions Analyzing the obtained power consumption values, we concluded that it is 3.8 kWfor a crankmechanism. For a simple harmonic motion law, it is 3.8 kW; for cycloidal and double harmonic motion law, it is 4.5 kW and 4.3 kW, respectively. These values were calculated at equal profile angles β = 180°. The authors suggest that the new cycle diagram of the cam drive operation should provide a significant reduction in torque for
RkJQdWJsaXNoZXIy MTk0ODM1