There are four motion variables of X, Y, γ, and γ P in the above equation, but there are only three equations, so it is a multi-solution system with the following three solutions: W/XY/γ P /T, W/X γ /γ P /T, W/Y γ /γ P /T The above combination movement from the tool to the motion unit showing combinations between the workpiece, the left side of the formula wherein "W" represents a workpiece, the right side "T" represents the tool, showing the intermediate relative motion between the unit and the O W O P Sports combination. It can be seen that the attitude term in the above equation has no variables, so only one motion unit is needed to create a wire: Z. Previous page next page 2 Tiered Tray Decor,2 Tier Farmhouse Tray,Vintage Rustic 2-Tier Cake Tray,Decorating 2 Tier Tray xiacun factory , https://www.xiacunmetal.com
Solution 1: Let γ = 0, then the equations can uniquely determine that γ P , X, and Y are functions of θ ZW .
Solution 2: Let X=0, then the equations can uniquely determine that γ, γp, and Y are functions of θ ZW .
Solution 3: Let Y=0, then the equations can uniquely determine γ, γ P , and X as a function of θ ZW .
These three sets of solutions can be written in the form of a motion combination, ie:
The above formula contains the case of linear motion. For the motion of the gyroscopic motion unit, considering the characteristics of equation (6), the motion cascading matrix of double γ can be set, and the motion combination W/γγ/ can be obtained by the same reason. γ P /T .
(2) Motion analysis when creating a wire: The tool pose matrix when creating a wire is 
(9)
(3) Combine the motion units of the busbars and wires to obtain the motion combination required to create a cylindrical surface:
W/XYZ/γp/T, W/XZγ/γp/T, W/YZγ/γp/T, W/γγZ/γp/T
Where W/XYZ/γp/T, W/XZγ/γp/T are the same, one of them can be taken.
(4) Machine tool motion function scheme generation: The combination formula obtained by the above formula only represents the number and nature of the relative motion between O P and O W , and various schemes can be obtained by arranging the motion units in the equation. Under the condition that the formula (4) is satisfied, the following 15 schemes can be obtained (indicated by the creation movement):
W/XYZ/γp/T, W/XZY/γp/T, W/YXZ/γp/T, W/YZX/γp/T, W/ZXY/γp/T, W/ZYX/γp/T,
W/XZγ/γp/T, W/XγZ/γp/T, W/ZXγ/γp/T, W/ZγX/γp/T, W/γXZ/γp/T, W/γZX/γp/T,
W/Zγγ/γp/T, W/γZγ/γp/T, W/γγZ/γp/T
These 15 motion schemes are all possible motion schemes when the milling cutter creates a cylindrical surface, representing the required combination of motion units between the tool and the workpiece.