Method of calculating deflection of rotating tire, method of accumulating data of rotating tire, method of calculating contact length of rotating tire
First Claim
1. A method of calculating deflection of a rotating tire that calculates a distribution of deflections at a tire tread portion in a radial direction of the tire when the tire is rotating on a road surface, the method comprising:
- an acquiring step of acquiring measurement time series data of acceleration in a radial direction at a predetermined position on a tire circumference of a rotating tire;
a least-square regression step of extracting acceleration data in a vicinity of a contact region of the tire from the acquired measurement time series data of acceleration at the predetermined position on the tire circumference, and, using a deflection function expression that represents a peak shape having a peak value and a curve which is gradually approaching to zero on both sides of the peak shape as a function expression for reproducing the distribution of deflections at the tire tread portion, subjecting the extracted acceleration data to least-square regression using a second-order differential function expression of the deflection function expression to determine deflection function parameter value of the deflection function expression, solely from the acquired time series data of acceleration; and
a calculation step of calculating reproduced distribution of deflections of the rotating tire from the deflection function expression the deflection function parameter values of which have been determined.
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Abstract
A method of calculating deflection of a rotating tire, through high speed data processing, based on measurement time series data of acceleration on a tire tread portion has the following steps. A step of acquiring measurement time series data of acceleration on a tire circumference in a radial direction of a rotating tire; a step of extracting acceleration data in a vicinity of a contact region from the acquired measurement data and subjecting the extracted acceleration data to least-square regression using a second-order differential function expression of a deflection function expression that represents a peak shape having a peak value and a curve gradually approaching to zero on both sides thereof, whereby a deflection function parameter values are determined; and a step of calculating a contact deflection from the deflection function expression determined by the deflection function parameter values.
5 Citations
17 Claims
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1. A method of calculating deflection of a rotating tire that calculates a distribution of deflections at a tire tread portion in a radial direction of the tire when the tire is rotating on a road surface, the method comprising:
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an acquiring step of acquiring measurement time series data of acceleration in a radial direction at a predetermined position on a tire circumference of a rotating tire; a least-square regression step of extracting acceleration data in a vicinity of a contact region of the tire from the acquired measurement time series data of acceleration at the predetermined position on the tire circumference, and, using a deflection function expression that represents a peak shape having a peak value and a curve which is gradually approaching to zero on both sides of the peak shape as a function expression for reproducing the distribution of deflections at the tire tread portion, subjecting the extracted acceleration data to least-square regression using a second-order differential function expression of the deflection function expression to determine deflection function parameter value of the deflection function expression, solely from the acquired time series data of acceleration; and a calculation step of calculating reproduced distribution of deflections of the rotating tire from the deflection function expression the deflection function parameter values of which have been determined. - View Dependent Claims (2, 3, 4, 5, 6, 7, 11, 12, 13)
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8. A method of accumulating data of a rotating tire, comprising:
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an acquiring step of acquiring measurement time series data of acceleration in a radial direction at a predetermined position on a tire circumference of a rotating tire; a least-square regression step for extracting acceleration data in a vicinity of a contact region of the tire from the acquired measurement time series data of acceleration at the predetermined position on the tire circumference, and, using a deflection function expression that represents a peak shape having a peak value and a curve which is gradually approaching to zero on both sides of the peak shape as a function expression for reproducing the distribution of deflections at the tire tread portion, subjecting the extracted acceleration data to least-square regression using a second-order differential function expression of the deflection function expression to determine deflection function parameter value of the deflection function expression, solely from the acquired time series data of acceleration; and an accumulating step of accumulating the deflection function parameter values of the deflection function expression determined in the least-square regression step as data at every round of tire rotation. - View Dependent Claims (14, 15)
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9. A method of calculating a contact length of a rotating tire, comprising:
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an acquiring step of acquiring measurement time series data of acceleration in a radial direction at a predetermined position on a tire circumference of a rotating tire; a least-square regression step for extracting acceleration data in a vicinity of a contact region of the tire from the acquired measurement time series data of acceleration at the predetermined position on the tire circumference, and, using a deflection function expression that represents a peak shape having an peak value and a curve which is gradually approaching to zero on both sides of the peak shape as a function expression for reproducing the distribution of deflections at the tire tread portion, subjecting the extracted acceleration data to least-square regression using a second-order differential function expression of the deflection function expression to determine deflection function parameter value of the deflection function expression, solely from the acquired time series data of acceleration; a calculation step of calculating the reproduced deflection in a vicinity of the contact region from the deflection function expression the deflection function parameter values of which have been determined; and a contact length calculating step for calculating a contact length of the rotating tire based on the deflection of the tire which is calculated in the calculation step. - View Dependent Claims (10, 16, 17)
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Specification