Tool track interpolation and speed planning method based on machine tool vibration suppression
A technology of vibration suppression and tool trajectory, applied in the field of CNC machining
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Embodiment 1
[0173] In this embodiment, a tool trajectory interpolation and speed planning method based on machine tool vibration suppression is described, and the specific steps are as follows:
[0174] (1) Step 1, read the G01 track point into the memory of the numerical control system.
[0175] (2) Step 2, for the G01 trajectory segment obtained in step 1, design G that satisfies the chord error constraint 4 Continuous interpolation trajectory, the specific operation method is as follows:
[0176] Step 2-1, establish G at the corner of the G01 trajectory 4 Geometric Model of Continuous Transition Curves
[0177] Trajectory corner P i-1 P i P i+1 The transition curve at is composed of symmetrical nine-degree Bezier curves, such as figure 1 As shown, the mathematical form of the transition curve is shown in formula 1:
[0178]
[0179] In formula (1) A i represents a control point that satisfies where α, β, γ, is the control point ratio (CPR), and the value of the contr...
Embodiment 2
[0308] Based on a tool trajectory interpolation and speed planning method based on machine tool vibration suppression provided in Embodiment 1, specific application cases are shown in the following three links:
[0309] (1) The trajectory point of the "dolphin" model {P i} i=0…219 Read into the memory of the CNC system, the G01 track point of the model is as follows Figure 6 shown;
[0310] (2) Read the G01 trajectory segment from the memory {P i} i=0…219 , design G that satisfies the chordal error constraint 4 Continuously interpolated trajectories. Let the chord error constraint of the trajectory be δ=0.04mm, and the calculation accuracy be ε=10 -4 mm, use the algorithm InterG4 provided in steps 2-4 to calculate the G of the "dolphin" model 4 Continuous interpolation trajectory, the trajectory curve generated by 4 iterations is recorded as: Determine {P according to formula (2) i (4)} The CPR value at each corner of the sequence, calculated according to the CPR v...
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