Toothed Workpiece Surface Modification via Diagonal Generating
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Solution Overview
Problem
Existing methods for producing toothed workpieces with modified surface geometry lack flexibility in specifying desired modifications, limiting the range of achievable surface geometries.
Innovation Solution
A diagonal rolling process using a tool with a modified surface geometry, where the tool's geometry is described by linear functions in specific directions, allowing for varying slopes and coefficients that can be freely selected within certain boundaries, and a diagonal ratio is determined to map the tool's geometry onto the workpiece, enabling precise specification of the workpiece's surface geometry.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If existing methods for producing toothed workpieces with modified surface geometry are used, then the manufacturing process is relatively simple, but the flexibility in specifying desired modifications is limited
Solution Approach 1:
The patent applies parameter changes by introducing a mathematical model with multiple adjustable parameters (linear function coefficients, diagonal ratio, direction angles) that define the tool's surface geometry. By varying these parameters, the system can specify a wide range of desired modifications to the workpiece surface geometry, transforming a rigid process into a flexible, programmable one.
Solution Approach 2:
The patent implements dynamics by making the tool's surface geometry parameters variable and adaptable rather than fixed. The linear function coefficients and diagonal ratio can be dynamically adjusted based on the desired workpiece modification, allowing the manufacturing process to adapt to different specification requirements without changing the physical tooling infrastructure.
2Adaptability or versatility
If a modified tool surface geometry with linear functions and varying coefficients is used, then flexibility in producing customized surface geometries increases, but the complexity of determining suitable tool geometry and diagonal ratio increases
Solution Approach 1:
The patent applies preliminary action by establishing a complete mathematical model before the actual manufacturing process. The model pre-defines the relationships between tool geometry parameters, diagonal ratio, and resulting workpiece surface geometry. This preliminary mathematical framework enables practitioners to calculate and determine suitable parameters through computation rather than through trial and error during manufacturing.
Solution Approach 2:
The patent implements feedback through the mathematical model that predicts the workpiece surface geometry based on the chosen tool parameters. This predictive capability allows for verification and adjustment of parameters before actual manufacturing, creating a feedback loop where the mathematical relationship guides parameter selection and ensures the desired outcome is achieved.
3Manufacturing precision
If the pitch of modification in the first direction varies depending on tool rotation angle and width position, then customization of workpiece surface geometry is enhanced, but the complexity of the modification specification increases
Solution Approach 1:
The patent applies segmentation by dividing the modification specification into distinct mathematical components: linear function coefficients, diagonal ratio, and direction angles. Each component handles a specific aspect of the geometry modification, allowing for systematic control and precise specification of complex surface geometries through manageable, separate parameters.
Data Source
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AI summary
The present invention relates to a method for producing a toothed workpiece with a modified surface geometry by means of a diagonal generating method using a modified tool, wherein a tool is used whose surface geometry includes a modification which, in the generating pattern, occurs at least locally in a first direction of the tool by a linear and/or or quadratic function can be described at least approximately, the coefficients of this linear and/or quadratic function being formed by coefficient functions FFtC,1, FFtL,1 and/or FFtQ,1 in a second direction of the tool, which runs perpendicular to the first direction and/or a modification, the pitch and/or crowning of which varies depending on the tool rotation angle and/or the tool width position, and the targeted modification of the tool by the diagonal generating method results in a corresponding modification on the surface of the work piece is produced, a desired modification of the surface geometry of the workpiece being specified and a modification of the surface geometry of the tool suitable for producing this desired modification being determined in combination with a diagonal ratio of the diagonal rolling method suitable for producing the desired modification.