Patterned Tire Modeling With IGA for Accurate Shape Reproducibility
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing tire analysis methods, such as FEM, require significant time and effort for element division and struggle to accurately model patterned tires, lacking reproducibility and analysis accuracy.
Innovation Solution
A method using isogeometric analysis (IGA) to separately model the case and pattern of a patterned tire with spline functions, joining their surfaces and calculating restoring forces at the join surface to enhance reproducibility and accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If FEM is used for tire numerical analysis, then element division can be performed, but time and effort are significantly required for element division
Solution Approach 1:
The patent replaces the traditional FEM mechanical element division process with an isogeometric analysis approach that uses spline functions to directly represent CAD geometry. This substitution eliminates the need for separate element division steps, as the spline-based modeling inherently provides the discretization needed for numerical analysis, thereby resolving the contradiction between model creation efficiency and time consumption.
2Manufacturing precision
If FEM is used for tire numerical analysis, then analysis can be performed, but the shape expressed in CAD cannot be analyzed as-is, reducing reproducibility
Solution Approach 1:
The patent merges the CAD modeling process with the numerical analysis discretization process by using spline functions that serve both purposes. The same spline representation used to define the tire geometry in CAD is also used to perform the isogeometric analysis, eliminating the need for separate element division and ensuring that the analyzed shape exactly matches the original CAD design, thus resolving the contradiction between shape reproducibility and process complexity.
3Measurement precision
If IGA is used for patterned tire analysis, then shape reproducibility improves, but specific methods for using spline functions in simulation are not disclosed
Solution Approach 1:
The patent segments the patterned tire into distinct components (tread pattern elements and tire body) that can be independently modeled using spline functions. This segmentation allows for precise control over each component's geometry while maintaining the overall tire shape fidelity, and the method clearly discloses how to apply spline functions to each segment, thereby resolving the contradiction between analysis accuracy and modeling method clarity.
Data Source
AI summary
A tire model creation device includes: a modeling unit that separately models each of a case and a pattern representing the patterned tire, using a spline function; a surface joining unit that joins a surface of a case model, which is a model of the case, and a surface of a pattern model, which is a model of the pattern; a calculation point arrangement unit that arranges, relative to a join surface between the surface of the case model and the surface of the pattern model, a calculation point for calculating a restoring force of the join surface; and a restoring force calculation unit that calculates the restoring force based on the arranged calculation point.