Calculating method for envelop feature lines of rotary cutter based on enveloping theory and division of longitudes

A calculation method and a rotary-type technology, applied in the fields of calculation, electrical digital data processing, special data processing applications, etc., can solve the problems such as the state and error of the effective characteristic line that cannot be calculated, avoid the iterative process, improve the calculation accuracy, The effect of improving computational efficiency

Active Publication Date: 2015-08-26
BEIHANG UNIV
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Problems solved by technology

Chen Zhitong proposed the warp and latitude method of discrete tools into a set of warp and latitude, which plays an important role in the tool path planning where the feed direction is undetermined, but the proposed method is to determine the effective features by calculating the

Method used

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  • Calculating method for envelop feature lines of rotary cutter based on enveloping theory and division of longitudes
  • Calculating method for envelop feature lines of rotary cutter based on enveloping theory and division of longitudes
  • Calculating method for envelop feature lines of rotary cutter based on enveloping theory and division of longitudes

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Example Embodiment

[0088] The specific embodiments of the present invention are as follows:

[0089] See figure 1 — Figure 4 , the present invention a kind of based on the envelope theory and the warp line dividing the rotary type tool envelope characteristic line calculation method, it comprises the following steps:

[0090] Suppose the parameter equation of the workpiece surface is S(u, v), the tool surface corresponding to the current tool position is τ, the radius of the center circle of the tool is R, and the radius of the arc segment of the meridian is r.

[0091] Step 1 Establish a vector field on the design surface according to the tool path planning direction.

[0092] The feed direction corresponding to each driving point is planned on the design surface. If the feed direction of the tool at the positioning point S(u, v) is Λ(u, v), then Λ(u, v) is a vector field established on the design surface. where Λ(u, v) is a unit vector and satisfies

[0093]

[0094] That is, Λ(u, v) ...

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Abstract

Provided is a calculating method for envelop feature lines of a rotary cutter based on an enveloping theory and division of longitudes. The calculating method comprises five steps: step 1, establishing a vector field on a designed curved surface according to the planning direction of a cutter path; step 2, dividing longitudes of the cutter and establishing a local coordinate system to each longitude; step 3, projecting set points of longitudes to the designed curved surface of a workpiece and acquiring the local feeding direction of a corresponding projective point in a direction field; step 4, utilizing that dot product between corresponding normal vector of the cutter curved surface of the longitudes in an envelope equation and the local feeding direction of the longitudes is zero as a condition to calculate effective feature points; step 5, calculating distances among effective feature points of all the longitudes to the curved surface of the workpiece in order to acquire the minimum distance of lines. The calculating method for envelop feature lines of the rotary cutter based on the enveloping theory and division of longitudes has a great application prospect in the technical field of numerical control machining of complex surfaces.

Description

technical field [0001] The invention relates to an accurate solution method for the envelope motion characteristic line of an end milling tool with a complex busbar structure in the process of end milling a complex curved surface in numerical control machining, in particular to a rotary tool envelope characteristic line based on envelope theory and meridian division The calculation method belongs to the technical field of numerical control machining of complex curved surfaces. Background technique [0002] In NC machining of complex curved surfaces, the calculation of the error distribution between the tool motion envelope and the design surface is the basis for optimizing the tool position and tool path according to the principle of maximizing the line width. In general, the envelope surface of the tool is determined by the determined tool trajectory and attitude, but when the tool trajectory and attitude are not determined, the envelope surface of the tool cannot be solved...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 陈志同甘植旺宁涛李珊珊叶德力
Owner BEIHANG UNIV
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