Automated Bend Generation for 3D Sheet Modeling
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Solution Overview
Problem
Current computer-aided modeling systems lack an efficient method for automatically generating bent joints between flat sheets in 3D models, particularly in scenarios where the sheets have different thicknesses or complex geometries, leading to difficulties in modeling and unfolding such structures.
Innovation Solution
A tool is developed that utilizes multi-objective optimization and mixed integer linear programming to calculate the minimum bend length and parameters for creating a bend object between two flat sheet objects, allowing for the automatic generation of conical or cylindrical bends, even when sheets have varying thicknesses, and ensuring the resulting structure is topologically and geometrically unfoldable.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If manual methods are used to model bent joints between flat sheets, then modeling accuracy can be maintained, but the complexity of the process increases and productivity decreases
Solution Approach 1:
The system performs automatic bend generation that calculates and creates bent joint geometry without requiring manual intervention. The algorithm automatically determines bend parameters, generates 3D geometry, and handles unfolding calculations, allowing the modeling system to serve itself rather than requiring operator input for each bend operation.
Solution Approach 2:
The patent replaces manual modeling operations with an automated computational system using mixed integer linear programming and multi-objective optimization. This substitution of mechanical/manual processes with algorithmic computation achieves both high precision in bend geometry and improved productivity through automation.
2Productivity
If automated bend generation is implemented, then productivity improves, but the device complexity increases due to optimization algorithms
Solution Approach 1:
The patent introduces an intermediary computational layer that translates modeling requirements into optimized bend parameters. The mixed integer linear programming formulation acts as a mediator between the geometric constraints and the optimization objectives, managing the complexity through structured mathematical programming rather than raw algorithmic complexity.
Solution Approach 2:
The system manages complexity by changing parameters in a controlled manner through multi-objective optimization. Instead of complex geometric calculations, the system optimizes parameter sets (bend angles, positions, radii) subject to constraints, transforming a complex geometric problem into a parameter optimization problem that is more manageable.
3Adaptability or versatility
If bends are generated for sheets with different thicknesses, then adaptability improves, but manufacturing precision becomes more difficult to maintain
Solution Approach 1:
The patent applies local quality by allowing different bend parameters for different regions of the sheet based on local thickness variations. The optimization algorithm determines specific bend geometry (radius, angle, position) tailored to each bend location and the local sheet properties, rather than applying uniform parameters throughout.
Solution Approach 2:
The system dynamically adjusts bend parameters based on the specific geometry and thickness distribution of each sheet. The multi-objective optimization adapts the bend generation process to varying sheet characteristics, making the system dynamic rather than static in its approach to different sheet configurations.
4Adaptability or versatility
If complex geometries are modeled, then adaptability improves, but the difficulty of detecting and measuring increases
Solution Approach 1:
The patent segments the complex bent sheet structure into manageable components: flat sheet portions, bend portions, and unfolding sequences. The algorithm processes each bend independently, calculating its contribution to the overall geometry and unfolding behavior, breaking down the complex measurement problem into discrete segment analyses.
Solution Approach 2:
The system performs preliminary calculations of bend parameters and unfolding geometry before final model generation. By pre-calculating the effects of each bend and their interactions, the system prepares the necessary measurement and detection data in advance, reducing the complexity of subsequent analysis.
Data Source
AI summary
A modeling application is provided with functionality that adds a bend between two flat sheets.