Abstract: Systems and methods for improving the uniformity of a tire based on estimated process harmonic magnitudes for one or more process effects are provided. Magnitudes of process harmonics associated with one or more candidate process effects can be determined from the observed magnitudes of one or more harmonics of measured uniformity parameters. The estimated process harmonic magnitude(s) can be determined without requiring phase angle or azimuth information associated with the observed magnitudes. The estimated process harmonic magnitude(s) can be determined by identifying a process harmonic magnitude pattern for identified candidate process effects. A model can be constructed correlating the candidate magnitudes specified by the process harmonic magnitude pattern with observed magnitudes of corresponding harmonics of a measured uniformity waveform. Regression or programming techniques can be used to estimate coefficients associated with candidate magnitude terms in the model.

Abstract: Systems and methods for improving the uniformity of a tire using convolution/deconvolution-based uniformity parameter estimates of a tire are provided. For instance, convolution can be used to estimate radial force variation from one or more uniformity parameter measurements, including radial run out parameter measurements. Deconvolution can be used to estimate radial run out from one or more uniformity parameter measurements, including radial force variation parameter measurements. The estimated uniformity parameter can be estimated from the uniformity parameter measurements using one or more models. The one or more models can represent an estimated radial uniformity parameter at a discrete measurement point as a weighted sum of the measured radial uniformity parameter at the discrete measurement point and one or more selected measurement points proximate the discrete measurement point. The measurement points can be selected based on the contact patch length of the tire.

Abstract: Systems and methods for improving the uniformity of a tire by identifying the effects of tooling elements used during tire manufacture on tire uniformity, such as effects resulting from building drum elements, form elements, mold elements, and other tooling elements, are provided. More particularly, a tooling signature of a tooling element can be identified by analyzing a plurality of uniformity waveforms measured for a set of tires manufactured using the tooling element. The tooling signature can be analyzed and used to modify tire manufacture to improve the uniformity of a tire.

Abstract: A system and related method for improving tire uniformity includes providing a number (n) of test tires manufactured in a known order and identifying at least one candidate cyclic process effect with a corresponding frequency of introduction (f). A given uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for each tire in the test set, and measured data points are combined into a concatenated composite waveform. At least one process harmonic associated with each identified cyclic process effect is separated from the tire harmonics, for example, by Fourier transformation with identification of the process harmonics as positive integer multiples of the mth harmonic of the measured uniformity parameter where m=n/f. Once the process harmonics are extracted, filtered uniformity measurements can be provided or new tires can be built with the process effect minimized.

Abstract: Systems and methods for improving the uniformity of a tire by separating uniformity contributions associated discrete effects, such as effects resulting from product joints, from continuous effects are provided. For instance, uniformity contributions associated with the product joints are determined by analyzing a uniformity waveform to process the uniformity waveform into one or more continuous components and at least one joint component. Knowledge of the uniformity contributions associated with product joints in the tire can be used, for instance, to make structural improvements in the manufacture of the tire, to actively manage the joint-making process, and to perform dynamic correction of joint effects.

Abstract: A system and related method for improving tire uniformity includes identifying at least one candidate process effect and a corresponding process harmonic number for each process effect. A given uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for each tire in a test set, such that the measurements contain tire harmonics as well as a process harmonics corresponding to each candidate process effect. Rectangular coordinate coefficients are electronically constructed for each said process harmonic, after which point the rectangular coordinates corresponding to each process harmonic are solved for (e.g., by using regression-based analysis). The magnitude of each said process harmonic is estimated, and a final magnitude estimate for each process harmonic can be determined by summarizing (e.g., by taking the average or median value) the respectively estimated magnitudes for each process harmonic across all test tires.

Abstract: Systems and methods for improving tire uniformity include identifying at least one candidate process harmonic and corresponding period. A set of uniformity waveforms is then collected for each test tire in a set of one or more test tires. To provide better data for analysis, the collection of waveforms may include multiple waveforms including measurements obtained before and/or after cure, in clockwise and/or counterclockwise rotational directions, and while the tire is loaded and/or unloaded. The uniformity waveforms may be re-indexed to the physical order of the at least one candidate process harmonic, and selected data points within the waveforms may optionally be deleted around a joint effect or other non-sinusoidal effect. The re-indexed, optionally partial, waveforms may then be analyzed to determine magnitude and azimuth estimates for the candidate process harmonics. Aspects of tire manufacture may then be modified in a variety of different ways to account for the estimated process harmonics.

Abstract: A system and related method for improving tire uniformity includes providing at least one set of test tires constructed with one or more process elements provided at known relative angular locations. At least one uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for at least one harmonic of interest for each test tire. Respective rectangular coordinates are determined for each measured uniformity parameter and harmonic of interest for each tire. A form of the determined rectangular coordinates (e.g., the rectangular coordinates themselves and/or the log of the residuals squared) is analyzed for each tire to identify optimized relative angular locations for each process element that reduce dispersion (or dispersion and mean) of the measured uniformity parameter. New tires are built with the one or more process elements positioned in the identified optimized relative angular locations.

Abstract: A system and related method for improving tire uniformity includes identifying at least one candidate process effect and a corresponding process harmonic number for each process effect. A given uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for each tire in a test set, such that the measurements contain tire harmonics as well as a process harmonics corresponding to each candidate process effect. Rectangular coordinate coefficients are electronically constructed for each said process harmonic, after which point the rectangular coordinates corresponding to each process harmonic are solved for (e.g., by using regression-based analysis). The magnitude of each said process harmonic is estimated, and a final magnitude estimate for each process harmonic can be determined by summarizing (e.g., by taking the average or median value) the respectively estimated magnitudes for each process harmonic across all test tires.

Abstract: A tire manufacturing method includes a method for optimizing the uniformity of a tire by reducing the green tire radial runout. The green tire radial runout is modeled as a vector sum of each of the vectors representing contributions arising from the tire building steps. A set of vector coefficients is generated from the vector equation. The building steps include building the tire carcass, building the tire summit, transferring the summit onto the inflate carcass, and measuring the radial runout and tooling angles at each step in the process. After the model is built, the vector equations and coefficients are applied to subsequent tires. By adjusting the tooling angles, green tire radial runout can be optimized.

Abstract: A tire manufacturing method includes a method for optimizing the uniformity of a tire by reducing the after cure radial force variation. The after cure radial force variation vector is modeled as a vector sum of each of the vectors representing contributions arising from the tire building steps—the “tire room effect vector” and a vector representing contributions arising from the vulcanization and uniformity measurement steps—the “curing room effect vector.” In further detail, both the tire room and curing room effect vectors can be further decomposed into sub-vectors representing each radial force variation contribution for which a measurable indicator is available. For a series of tires, the method obtains such measurements as the before cure radial runout (RRO) at one or more stages of the building sequence, measurements of loading angles on the tire building equipment, and measurements made during vulcanization process.

Abstract: A system and related method for improving tire uniformity includes providing a number (n) of test tires manufactured in a known order and identifying at least one candidate cyclic process effect with a corresponding frequency of introduction (f). A given uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for each tire in the test set, and measured data points are combined into a concatenated composite waveform. At least one process harmonic associated with each identified cyclic process effect is separated from the tire harmonics, for example, by Fourier transformation with identification of the process harmonics as positive integer multiples of the mth harmonic of the measured uniformity parameter where m=n/f. Once the process harmonics are extracted, filtered uniformity measurements can be provided or new tires can be built with the process effect minimized.

Abstract: A system and related method for improving tire uniformity includes providing at least one set of test tires constructed with one or more process elements provided at known relative angular locations. At least one uniformity parameter, such as radial or lateral run-out, balance, mass variation, radial lateral or tangential force variation, is measured for at least one harmonic of interest for each test tire. Respective rectangular coordinates are determined for each measured uniformity parameter and harmonic of interest for each tire. A form of the determined rectangular coordinates (e.g., the rectangular coordinates themselves and/or the log of the residuals squared) is analyzed for each tire to identify optimized relative angular locations for each process element that reduce dispersion (or dispersion and mean) of the measured uniformity parameter. New tires are built with the one or more process elements positioned in the identified optimized relative angular locations.

Abstract: A tire manufacturing method includes a method for optimizing the uniformity of a tire by reducing the after cure radial force variation. The after cure radial force variation vector is modeled as a vector sum of each of the vectors representing contributions arising from the tire building steps—the “tire room effect vector” and a vector representing contributions arising from the vulcanization and uniformity measurement steps—the “curing room effect vector.” In further detail, both the tire room and curing room effect vectors can be further decomposed into sub-vectors representing each radial force variation contribution for which a measurable indicator is available. For a series of tires, the method obtains such measurements as the before cure radial runout (RRO) at one or more stages of the building sequence, measurements of loading angles on the tire building equipment, and measurements made during vulcanization process.

Abstract: A tire manufacturing method includes a method for optimizing the uniformity of a tire by reducing the green tire radial runout. The green tire radial runout is modeled as a vector sum of each of the vectors representing contributions arising from the tire building steps. A set of vector coefficients is generated from the vector equation. The building steps include building the tire carcass, building the tire summit, transferring the summit onto the inflate carcass, and measuring the radial runout and tooling angles at each step in the process. After the model is built the vector equations and coefficients are applied to subsequent tires. By adjusting the tooling angles, green tire radial runout can be optimized.

Abstract: A tire manufacturing method includes a method for optimizing the uniformity of a tire by reducing the after cure radial force variation. The after cure radial force variation vector is modeled as a vector sum of each presenting contributions arising from the tire building steps—the “tire room effect vector” and a vector representing contributions arising from the vulcanization and uniformity measurement steps—the “curing room effect vector.” In further detail, both the tire room and curing room effect vectors can be further decomposed into sub-vectors representing each radial force variation contribution for which a measurable indicator is available. For a series of tires, the method obtains such measurements as the before cure radial runout (RRO) at one or more stages of the building sequence, measurements of loading angles on the tire building equipment, and measurements made during vulcanization process.