Real-Time Tire Force Simulation via Precomputed Lookup Tables
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Solution Overview
Problem
Existing tire simulation methods, such as the 'Magic Formula' developed by Pacejka, fail to accurately model forces transmitted by tires, especially under significant and variable stress conditions, and do not provide real-time values for longitudinal, transverse forces, and self-aligning torque.
Innovation Solution
A method that establishes a mechanical model of tire forces using dynamic and specific parameters, with iterative calculations to solve equations, accounting for temperature influences and thermal models to update parameters in real-time, enabling precise calculation of longitudinal, transverse forces, and self-aligning torque during vehicle rolling.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a physical model of the tire is used to accurately model forces transmitted by the tire, then the accuracy of force modeling is improved, but the calculation time increases and real-time values cannot be provided
Solution Approach 1:
The patent pre-calculates and stores force characteristics in lookup tables during an offline phase, so that during real-time operation, only table lookups and simple interpolations are needed, eliminating the need for time-consuming iterative physical model calculations while maintaining accuracy
Solution Approach 2:
The patent creates simplified representations of the complex physical model by storing pre-computed force characteristics in lookup tables, which serve as copies that can be quickly accessed and interpolated during real-time operation without requiring the full computational complexity of the original physical model
2Productivity
If parameters devoid of causal link with physics are used to model the tire, then the calculation speed is improved, but the accuracy of force transmission modeling deteriorates
Solution Approach 1:
The patent creates simplified representations of the complex physical model by storing pre-computed force characteristics in lookup tables, which serve as copies that can be quickly accessed and interpolated during real-time operation without requiring the full computational complexity of the original physical model
Solution Approach 2:
The patent transforms the continuous physical model into a discrete set of pre-computed values stored in lookup tables, changing the parameter representation from continuous mathematical functions to discrete tabulated data that can be quickly accessed and interpolated
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables real-time simulation of tire forces and self-aligning torque, improving accuracy and responsiveness under varying stress conditions, and optimizing tire behavior modeling.
Implementation Method 1
a process for modeling the temperatures of a tire in a rolling situation on the ground by taking into account the effects of hysteresis in the elastomer
Implementation Method 2
a third model, a global model of heating and heat flow, this third model taking the form of a system of equations expressing variations over a wheel revolution period of a peripheral temperature of the tread and an internal temperature of the tire as a function of previously known or estimated values of the peripheral and internal temperatures, of a coefficient thermal conduction of the tread
Data Source
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AI summary
The invention relates to a method for simulating the behaviour of a tyre mounted on a vehicle in running conditions on the ground, wherein said method comprises a mechanical model for essentially computing the longitudinal (Fx) and transverse (Fy) stresses transmitted by the tyre between the ground and the vehicle according to dynamic parameters related to the physical conditions of the tyre running and use and according to physical tyre-specific parameters. According to the invention, the mechanical model is set and solved in an iterative manner (8-10), assuming that the tyre contact surface with the ground comprises an adherence contact area and a sliding contact area and assuming that there is a unique x-coordinate point b indicative of the transition between the two contact areas. Applicability: real-time simulation of a vehicle dynamic behaviour.