Curve design method for large-ellipticity piston excircle profile
A kind of curve design, large ellipse technology, applied in the direction of piston, mechanical equipment, machine/engine, etc., can solve the problems such as the adverse effect of the shape accuracy of the processed curve, discontinuous acceleration, etc., to avoid sudden acceleration of acceleration, continuous displacement curve, and improve processing. The effect of precision
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[0061] Example 1:
[0062] A design method for the outer circle profile curve of a large ellipse piston adopts a combined ellipse and cycloid curve. The cycloid is also called a sinusoidal acceleration curve. The acceleration characteristic of this curve is a sinusoidal curve. The ellipse and cycloid combined curve can avoid the instantaneous sudden change of acceleration at the intersection θ, and reduce the impact of the processing process. It includes the following steps:
[0063] Step 1 Take the center of the piston skirt section as the center of the ellipse, and take the diameter D of the major axis of the piston skirt as the major axis of the ellipse, and determine the minor axis of the ellipse by the ellipticity G of the piston skirt;
[0064] Step 2 Make an eccentric circle on the short axis of the piston skirt, the angle formed by the intersection of the ellipse and the eccentric circle is θ, the offset of the eccentric circle relative to the short semi-axis of the ellipse ...
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[0077] Example 2:
[0078] The expression of elliptical linear acceleration is:
[0079] 0-θ elliptical acceleration expression: as formula (4)
[0080] θ-90° elliptical acceleration expression:
[0081]
[0082] The sudden change of acceleration is due to the instantaneous increase of H in formula (5). Therefore, the eccentric circular shape is replaced by a gradual ellipse line that changes with the quadratic sine law to smoothly transition the displacement, velocity and acceleration at the tip of the combined curve.
[0083] A method for designing the outer circular surface curve of a large elliptic piston, which adopts the ellipse superimposed gradient ellipse combined curve, and includes the following steps:
[0084] Step 1 Take the center of the piston skirt section as the center of the ellipse, and take the diameter D of the major axis of the piston skirt as the major axis of the ellipse, and determine the minor axis of the ellipse by the ellipticity G of the piston skirt;
[0085]...
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[0097] Example 3:
[0098] Taking the angle of intersection θ=54°, the eccentricity e=2.44, the offset of the eccentric circle relative to the short semi-axis of the ellipse is h=0.4, and the ellipticity G=0.3 as the simulation experiment conditions, the combination of "ellipse + eccentric circle" is obtained Curve characteristics such as Figure 5 (a)-Figure 5 (d) As shown, the curve characteristics of the "ellipse + ellipse" combination are as follows Figure 6(a)-Figure 6(d) As shown, the curve characteristics of the “ellipse + cycloid” combination are as follows Figure 7(a)-Figure 7(d) As shown, the curve characteristics of the combination of "ellipse + gradient ellipse" are as follows Figure 8(a)-Figure 8(d) Shown.
[0099] The spindle speed of the comparison experiment is 800 rpm.
[0100] Table 1 Comparison of characteristics of four methods of motion law
[0101]
[0102] Through comparison, the following conclusions are obtained:
[0103] (1) The displacement, velocity, acce...
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