Conformal Cellular Structures With Graded Microstructure Continuity
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Solution Overview
Problem
Conventional systems are inadequate for designing conformal cellular structures with spatially-variable microstructures, limiting mechanical and structural properties due to their inability to represent general types of internal features effectively.
Innovation Solution
The method involves using a level-set function to map base microstructure cells to a discrete solid object mesh, applying an isoparametric transformation, and a global cutting function to generate continuous geometric connections between transformed base cells, ensuring full geometric connectivity and variable structural properties.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If conventional explicit parametric techniques are used to represent truss/beam-based or shell-like features, then the design process is simplified, but the ability to represent variations of microstructures involving general types of internal features is severely limited
Solution Approach 1:
The patent introduces an implicit function-based geometric model as an intermediary representation that bridges the gap between simple parametric techniques and complex microstructure design. This implicit model serves as a mediator that enables both ease of design and comprehensive representation of general internal features through mathematical functions rather than explicit geometric constraints
Solution Approach 2:
The patent transforms the design approach by changing from explicit parametric representation to implicit function-based representation. This parameter change allows the system to represent complex microstructures with general internal features by using implicit mathematical functions that can describe arbitrary geometries without being constrained by explicit parametric definitions
2Strength
If spatially-variable microstructural cells are used to improve mechanical performance, then the mechanical and structural properties are enhanced, but the complexity of representing and fabricating these structures increases
Solution Approach 1:
The patent applies local quality by enabling spatially-variable microstructural cells that can have different geometries, orientations, and properties at different locations within the structure. This allows optimization of mechanical performance in specific regions while managing complexity through systematic design methods that adapt local cell characteristics to functional requirements
Solution Approach 2:
The patent segments the structure into discrete microstructural cells that can be independently designed and optimized. This segmentation approach allows complex spatially-variable structures to be managed through modular design units, where each cell can be defined by implicit functions and assembled into the overall structure with controlled complexity
3Reliability
If conformal cellular structures with full geometric connectivity are created, then the mechanical performance and structural integrity are improved, but the manufacturing precision requirements increase
Solution Approach 1:
The patent replaces traditional mechanical geometric constraint systems with implicit function-based mathematical representations. This substitution allows conformal cellular structures with full geometric connectivity to be defined through continuous implicit functions, which inherently ensure geometric continuity without requiring high manufacturing precision for individual feature definitions
Solution Approach 2:
The patent performs preliminary action by pre-defining the implicit geometric model that ensures full connectivity and conformality before fabrication. The implicit function representation is established in advance to guarantee geometric continuity, allowing the manufacturing process to follow a predetermined path that maintains structural integrity without requiring real-time precision adjustments
Data Source
AI summary
Modeling, constructing, and designing conformal cellular structures with spatially variable and graded microstructures that have full geometric continuity is disclosed, which includes defining a global structural domain, where the microstructures are generated for a global mesh, defining a unit structure as a base cell using a level set function, which allows for beams, trusses, shells, and solids, transforming and mapping the base cell into each element of the global mesh using an isoparametric transformation, which creates a conformal cellular structure in accordance with a set of requirements on distribution of material and/or mechanical properties, and applying a global cutting function to guarantee geometric continuity in connections on the common face of any two neighboring cells of the structure. As a result, more complex geometric shapes and features can be generated at the cell level, while maintaining the specified geometric connectivity across the cells of the structure.