Radial Force Variation Analysis in Tire Wheel Assemblies
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Solution Overview
Problem
Existing methods for controlling radial force variation in tire/wheel assemblies are limited by manufacturing tolerances and variations in material properties, as they do not effectively account for factors beyond the highest radial force variation of the tire and wheel runout, leading to incomplete minimization of overall radial force variation.
Innovation Solution
A method involving a radial force variation machine that measures and calculates specific harmonic orders of radial force and wheel runout, using phasors and transfer function coefficients to quantify tire and wheel force metrics, and derive a remaining force metric that accounts for unattributed variations, allowing for improved assembly alignment and reduced radial force variation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If only the highest radial force variation of the tire and wheel runout are measured for match-mounting, then the manufacturing process is simple and quick, but the overall radial force variation of the tire/wheel assembly cannot be fully minimized because other contributing factors are ignored
Solution Approach 1:
The patent segments the radial force variation analysis into multiple harmonic orders (1st, 2nd, 3rd, etc.) rather than treating it as a single parameter. Each harmonic order is measured and analyzed separately, allowing identification of different contributing factors at various frequencies. This segmentation enables comprehensive analysis of tire, wheel, and interaction effects without requiring a single overly complex measurement system.
Solution Approach 2:
The patent transforms the radial force variation data into phasor representations (amplitude and phase angle) for each harmonic order. This parameter transformation allows mathematical combination of multiple factors using vector addition, enabling precise calculation of remaining force metrics. The phasor approach converts complex periodic variations into manageable parameters that can be systematically analyzed and minimized.
2Measurement precision
If multiple harmonic orders and remaining force metrics are measured and calculated, then the radial force variation can be more accurately minimized, but the measurement and calculation process becomes more complex and time-consuming
Solution Approach 1:
The patent performs preliminary measurement of multiple harmonic orders during the initial tire/wheel assembly inspection. By capturing all necessary data (amplitudes and phases of 1st, 2nd, 3rd and higher harmonic orders) in advance, the system enables rapid calculation of remaining force metrics without requiring additional measurement time. The phasor calculations are performed computationally after data collection, separating measurement time from analysis time.
Solution Approach 2:
The patent replaces complex mechanical measurement procedures with computational analysis. Instead of using separate physical devices to measure each contributing factor, the system uses a single radial force variation machine to capture comprehensive data, then applies mathematical transformations (Fourier analysis, phasor calculations) to extract detailed information. This substitution of computational methods for mechanical measurement reduces both device complexity and measurement time.
3Ease of operation
If match-mounting is performed using only the highest radial force variation point, then the process is straightforward and fast, but unaccounted force metrics continue to contribute to assembly vibration and performance issues
Solution Approach 1:
The patent introduces phasor representations as intermediary elements between the raw radial force variation measurements and the final match-mounting decision. The phasors (with their amplitude and phase angle) serve as intermediate parameters that capture both the magnitude and angular position of each harmonic order. This intermediary representation enables systematic combination of multiple factors through vector addition, providing a more reliable basis for match-mounting while maintaining operational clarity.
Solution Approach 2:
The patent creates a universal analysis framework that handles multiple harmonic orders and different contributing factors (tire radial force variation, wheel runout, and their interactions) through a single integrated process. The remaining force metric calculation serves as a universal indicator that accounts for all unmeasured and unaccounted factors, providing a comprehensive quality check for match-mounting that applies to all tire/wheel assemblies regardless of specific characteristics.
Data Source
AI summary
A method of controlling a assembly includes measuring a first amplitude of a selected harmonic order of the radial force variation of the assembly, and locating a first angular location of the selected order of the radial force variation of the assembly. A second angular location of a tire is located, which indicates a phase of the selected order of a radial force variation of the tire, having a second amplitude. A third angular location of a wheel is located, which indicates a phase of the selected order of a runout value of the wheel, and has a third amplitude. A remaining force metric may be calculated using the pairs of the first amplitude and the first angular location, the second amplitude and the second angular location, and the third amplitude and the third angular location.