CAD Geometry Definition Accuracy via Singular Constraint Detection
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Solution Overview
Problem
In CAD systems, under-defined geometries due to singular constraint schemes can lead to errors where geometries appear well-defined but are not, and adding more constraints can over-define the model rather than resolving the issue, causing unexplained errors.
Innovation Solution
A method to identify under-defined geometries by determining the degree of freedom for each geometry, identifying constraints, and distinguishing between well-defined and under-defined geometries, specifically identifying those under-defined due to singular configurations (UDS) and storing indicators for UDS and computed-from-singular geometries.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If more constraints are added to resolve under-defined geometries, then the model definition accuracy improves, but the model becomes over-defined causing errors
Solution Approach 1:
The system performs preliminary analysis of the constraint scheme before final model validation. By detecting singular configurations in advance and identifying under-defined geometries beforehand, the system can resolve issues without adding excessive constraints that would cause over-definition errors.
Solution Approach 2:
The system implements feedback mechanisms that continuously monitor constraint satisfaction and geometry definition status. When under-defined geometries are detected, the system provides feedback to adjust the constraint scheme appropriately, preventing both under-definition and over-definition conditions.
2Ease of operation
If constraint schemes are simplified to reduce complexity, then ease of operation improves, but under-defined geometries increase causing unexplained errors
Solution Approach 1:
The system automatically analyzes and adjusts constraint schemes without requiring manual intervention. It self-diagnoses singular configurations and under-defined geometries, then automatically resolves them by adjusting the constraint scheme while maintaining operational simplicity.
Solution Approach 2:
The system dynamically changes constraint parameters and configuration settings to resolve under-defined geometries. By adjusting constraint values, types, and arrangements based on detected singularities, the system maintains simple operation while ensuring reliable geometry definition.
3Measurement precision
If detailed analysis of each geometry is performed to identify UDS, then measurement precision of geometry status improves, but computational time increases
Solution Approach 1:
The system segments the complex model into individual geometries and constraint schemes for targeted analysis. By processing each geometry's constraint scheme separately and identifying singular configurations at the local level, the system achieves precise UDS detection without requiring exhaustive analysis of the entire model.
Solution Approach 2:
The system applies partial analysis focused on identifying singular configurations and under-defined geometries rather than performing complete exhaustive analysis. By concentrating computational resources on detecting critical issues like singular constraint schemes, the system achieves sufficient precision without excessive computational time.
Data Source
AI summary
Systems, methods, and computer program products for identifying under-defined geometries due to singular constraint schemes. A method includes receiving a CAD model having a plurality of geometries and determining the degrees of freedom for each of the geometries. The method includes identifying a number of constraints on each of the geometries and identifying any of the geometries that are under-defined and any of the geometries that are well-defined. The method includes identifying any of the under-defined geometries that are under-defined due to singular (UDS) and storing a UDS indicator for each of the geometries identified as UDS. The method can include identifying geometries computed from these UDS geometries (CFS) and storing a CFS indicator for each of the geometries identified as CFS.


