Rolling Tire Steady State Simulation via Constant Force
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Solution Overview
Problem
The computational resources required for finite element analyses of tires, particularly for simulating a rolling tire on a road surface, are significant and costly.
Innovation Solution
A method and apparatus for modeling a rolling tire using a finite element analysis system, where a finite element model of a tire is input and a constant force is applied between the tire and the road surface, with optional camber, to perform a simulation while maintaining these conditions throughout.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a finite element analysis simulation of a rolling tire on a road surface is performed, then accurate dependent variable values (spindle moments, slip angles) are obtained, but significant computational resources are required
Solution Approach 1:
The tire is segmented into a first portion and a second portion, with the first portion being a replicate of the second portion. This segmentation allows the simulation to model only a portion of the tire rather than the entire tire, significantly reducing the number of finite elements and computational resources required while maintaining accuracy of dependent variable values through the replicate relationship.
Solution Approach 2:
The patent extracts and removes the redundant second portion of the tire from the simulation model, keeping only the first portion. By taking out the duplicate section and using the replicate relationship to represent it, the computational model size is reduced without sacrificing the accuracy needed to obtain accurate spindle moments and slip angles.
2Stability of the object's composition
If a constant force is applied between the tire and road surface to maintain steady state conditions, then steady state behavior is achieved, but the simulation complexity increases
Solution Approach 1:
A constant force is applied preliminarily between the first portion of the tire and the road surface before and during the simulation to maintain steady state conditions. This preliminary application of force ensures the tire operates in a stable, steady-state regime, simplifying the analysis by eliminating transient effects and reducing the overall simulation complexity despite the added force constraint.
Data Source
AI summary
An apparatus and method are disclosed for modeling at least a portion of a rolling tire (200). A finite element model of at least a portion of a tire (200) rolling against a tire contacting surface (202, 506, 602) is input into a finite element analysis system (100). The system executed instructions that result in the application of a constant force to the model tire (200) or portion thereof by the tire contacting surface (202, 506, 602). The application of force control boundary conditions, as opposed to displacement control, provides significant benefit in terms of computational time of the finite element analysis solution. A finite element analysis simulation of the model against the tire contacting surface (202, 506, 602) is performed while maintaining the force on the model tire (200). Alternatively, a camber (γ) is also applied to the tire and maintained throughout the simulation.