Calculation method for motion trail of ultrasonic elliptical vibration cutting technology
A technology of elliptical vibration and motion trajectory, which is applied in the calculation of motion trajectory and the calculation of motion trajectory of ultrasonic elliptical vibration cutting technology, which can solve cutting problems and achieve the effects of reducing the difficulty of calculation, increasing the distance threshold, and good versatility
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specific Embodiment approach 1
[0051] Specific implementation mode one: combine Figure 1 to Figure 2 Illustrate this embodiment, a kind of calculation method that is used for ultrasonic elliptical vibration cutting technology motion trajectory of this embodiment, it comprises the following steps:
[0052] Step 1: Use the method of homogeneous coordinate transformation to study the motion trajectory expression of the ultrasonic elliptical vibration cutting technology corresponding to the oblique straight line from a new perspective. The main body of the ultrasonic elliptical vibration cutting device is composed of a piezoelectric ceramic sheet group, a horn and a tool 1 . Under the action of electric excitation at a certain frequency, the piezoelectric ceramic sheet group produces a displacement output with the same frequency as the electric excitation, and the displacement output is amplified by the horn to make the tool 1 move along a certain path. When the frequency of electrical excitation is the natur...
specific Embodiment approach 2
[0072] Specific implementation mode two: combination figure 1 with figure 2 To illustrate this embodiment, the motion trajectory method of the ultrasonic elliptical vibration cutting technology proposed in this embodiment is applicable to different types and forms of ultrasonic elliptical vibration cutting devices. The ultrasonic elliptical vibration cutting device described in step 1 is a non-resonance type or a resonance type, and the resonance type is a longitudinal vibration-flexural vibration composite form or a bending vibration-flexural vibration composite form or a longitudinal vibration-longitudinal vibration composite form. It is also applicable to other forms of the non-resonant type and the resonant type, such as bending vibration-bending vibration combination, longitudinal vibration-longitudinal vibration combination, etc. Although the ultrasonic elliptical vibration cutting devices are not the same, their internal movement trajectory synthesis principle is the ...
specific Embodiment approach 3
[0073] Specific implementation mode three: combination figure 1 with figure 2 Describe this embodiment, this embodiment has multiple methods to determine the discrete point sequence P i (y i ,z i ) (i=1,2,...,m). If the moving path 6 is a function expression, discrete points can be extracted by means of equal variable intervals or equal chord lengths according to the nature of the function; if the moving path 6 is difficult to express with a function or has no functional expression, a series of discrete points can be extracted from the curve point, the sequence of discrete points will be used as P i (y i ,z i ) (i=1,2,...,m). Other compositions and connections are the same as those in Embodiment 1 or Embodiment 2.
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