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Kinematic approximation algorithm having a ruled surface

A technology of rules and algorithms, which is applied in the field of kinematics approximation algorithms using ruled surfaces, can solve the problems of local errors in tool positioning data, high time consumption, and troublesome problems, and achieve the effect of small global error checking

Inactive Publication Date: 2012-04-18
SIEMENS AG
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  • Claims
  • Application Information

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Problems solved by technology

[0004] Disadvantageously, this prior art has the disadvantage that there is no global continuity guarantee, multiple optimization cycles are required, cycle calculations are complex, the time expenditure is relatively high, the tool positioning data may have local errors and sufficient tool positioning is required data

Method used

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  • Kinematic approximation algorithm having a ruled surface
  • Kinematic approximation algorithm having a ruled surface
  • Kinematic approximation algorithm having a ruled surface

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Embodiment Construction

[0047] figure 1An example of a ruled surface is shown. Regular surfaces are defined in terms of surfaces that can be covered by the movement of straight lines in Euclidean space. Regular surfaces can be produced easily and cost-effectively. Ruled surfaces appear in many manufacturing processes.

[0048] Regular surfaces are the preferred choice for fabrication. A regular surface is a special type of surface that can be produced by moving straight lines through space. Regular surfaces arise in different applications such as electrical discharge processing (EDN) of wires and laser cutting where the cutting tool is controlled as a moving straight line. Furthermore, it is known that ruled surfaces are efficiently manufactured using the side-cutting method in CNC processing. Approximating free-form surfaces to regular surfaces is a typical design strategy to reduce manufacturing costs. There is therefore a need in the industry for efficient ruled surface approximation algorit...

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Abstract

The present invention relates to a method for producing at least one surface on a workpiece by means of a material removal tool and a corresponding material removal device. The problem addressed by the present invention is to provide a method for producing any surface on a workpiece in such a way that the surface is produced quickly and at low cost. An error between any surface to be produced and a produced ruled surface should be small. The invention is characterized in that based on any surface to be produced, a movement path of the material removal tool is controlled to produce a ruled surface approximating to said surface to be produced, the movement path being provided in the form of a curve on a dual unit sphere, wherein a point on the curve corresponds to a location and an orientation of the material removal tool. The curve can be produced based on ruling lines, which are converted into points on the dual unit sphere by means of mathematical transformations. Said points are interpolated by means of a dual sphere spline interpolation algorithm to produce the curve. Said curve can then be transformed back into the ruled surface to be produced or can be used directly to follow the movement path of the material removal tool. Likewise, directrix curves of the ruled surface can be determined by means of the dual sphere spline interpolation algorithm. The method is suited in particular for producing the surfaces of components of turbomachinery, such as impellers. Any surfaces can be produced on any materials.

Description

technical field [0001] The invention relates to a method for producing at least one surface on a workpiece by means of a material removal tool and a corresponding material removal device. Background technique [0002] The workpiece can be, for example, a component part of a technical machine, in particular a fluid machine such as a propeller, a turbine of a centrifugal compressor, a rotor of a pump, a gas turbine or a turbocharger. Workpieces can be generalized as components to be processed. [0003] In a conventional manner, the geometry design component is separated from the fabrication component. During the design phase, engineers create regular surfaces and provide surfaces for manufacturing. Ruled surfaces can approximate free-form surfaces or can be optimized according to design requirements. Specific methods are applied in the manufacturing phase to manufacture this ruled surface. For example, five-axis-side-milling has the following steps: First, a milling tool c...

Claims

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Application Information

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IPC IPC(8): G05B19/4093
CPCG05B19/4093Y02P90/02
Inventor J.舒尔策周雅赟
Owner SIEMENS AG
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