MXPA98001443A - Pneumatic rim that has an improved sequence of pa - Google Patents

Pneumatic rim that has an improved sequence of pa

Info

Publication number
MXPA98001443A
MXPA98001443A MXPA/A/1998/001443A MX9801443A MXPA98001443A MX PA98001443 A MXPA98001443 A MX PA98001443A MX 9801443 A MX9801443 A MX 9801443A MX PA98001443 A MXPA98001443 A MX PA98001443A
Authority
MX
Mexico
Prior art keywords
steps
rim
total
sequence
length
Prior art date
Application number
MXPA/A/1998/001443A
Other languages
Spanish (es)
Other versions
MX9801443A (en
Inventor
Janusz Wesolowski Piotr
Original Assignee
The Goodyear Tire & Rubber Company
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from US08/523,708 external-priority patent/US5753057A/en
Application filed by The Goodyear Tire & Rubber Company filed Critical The Goodyear Tire & Rubber Company
Publication of MX9801443A publication Critical patent/MX9801443A/en
Publication of MXPA98001443A publication Critical patent/MXPA98001443A/en

Links

Abstract

The present invention relates to a rim provided with a tread band having a plurality of load bearing elements, placed around the circumference of the rim, said tread band having a sequence of steps comprising: (a) 67, 69, 71, 73, 76 79, 85, 98 or 103 total steps, (b) only four or five different step lengths, and the lowest individual integers used for step sequences that have four step lengths are: -8-9 and 10 individual integers on the west side used for sequences of steps that have five step lengths 7-8-9-10 and 11; (c) a ratio of the longest length of steps to the length shorter of steps not greater than 1.58, (d) a ratio of the length of steps longer than the shortest step length of any of two steps preceding or following each other does not exceed 1.43, (e) there is no case in the sequence of steps, where the maximum step length s short directly precede or follow directly to the longest step length, (f) there is a constant increase in the length of steps in the four or five different step lengths as one progresses from the shortest step length to the length of longer step, where said 67 total steps consists of: 7 9 8 8 9 10 11 9 10 7 10 7 7 7 7 7 9 10 10 8 11 10 11 8 8 8 7 9 8 10 7 7 7 9 8 9 10 10 8 8 7 7 10 11 9 7 7 8 7 7 10 9 8 10 9 11 8 8 8 7 9 10 11 8 8 7 10, where the 69 total steps consist of: 10 10 9 11 9 7 7 7 8 10 10 8 7 7 7 8 9 9 10 10 7 7 8 9 9 11 8 7 8 7 7 8 8 10 7 7 10 9 9 11 8 9 8 8 9 8 7 8 7 10 10 9 8 8 9 11 9 9 8 8 8 9 7 7 7 9 10 10 9, where the 71 total steps consist of 8 8 10 7 8 7 10 8 11 10 10 9 8 7 7 7 8 8 9 11 8 9 7 7 9 10 10 8 7 8 7 7 7 10 8 8 9 7 10 8 8 11 9 9 9 7 8 8 8 7 8 9 8 10 9 10 11 01 10 7 8 9 7 7 7 7 8 9 9 9 11 where the 73 total steps consist of 9 8 7 8 9 9 9 0 9 8 8 8 8 7 7 7 9 8 9 10 9 7 7 8 8 9 9 9 9 10 10 8 8 8 7 7 8 9 9 7 9 9 10 9 10 10 10 10 8 7 7 8 7 7 7 8 10 9 8 9 7 9 10 10 10 8 7 7 7 7 8 10 where the total 76 steps consist of 7 7 8 8 8 11 9 10 10 9 9 11 8 7 8 8 8 9 11 10 9 8 7 8 8 9 8 7 10 9 11 10 9 8 7 8 8 9 10 8 10 9 7 8 7 7 7 8 10 8 11 9 11 9 10 8 8 8 7 7 8 9 11 8 10 7 8 9 11 11 10 9 8 7 7 7 where the total 79 steps consist of 8 10 9 11 9 10 8 7 7 8 9 9 10 11 9 8 7 8 8 7 9 8 10 9 11 8 8 7 7 7 7 8 9 9 10 10 10 10 11 8 7 8 9 8 9 7 10 10 7 8 8 8 11 11 10 9 9 8 8 7 7 7 7 8 8 11 9 8 10 11 10 10 9 8 7 7 7 8 9, where the 85 total steps consist of 8 7 10 9 9 8 8 7 8 7 9 8 109 9 8 8 7 9 10 8 11 9 7 8 8 7 8 9 10 10 10 10 9 8 8 8 8 10 7 9 9 9 9 8 10 9 11 8 8 7 7 7 7 8 9 8 9 9 11 10 9 8 9 9 7 7 8 7 8 8 9 10 9 11 10 9 11 10 9 8 7 7 7 7, where the 98 total steps consist of 11 9 10 9 8 8 9 10 10 8 7 7 7 8 9 9 9 9 8 7 7 7 9 11 9 8 8 10 8 8 8 8 10 9 8 7 7 7 8 8 11 10 9 11 9 9 9 7 7 8 10 10 11 8 8 9 8 9 10 9 8 7 7 8 8 7 8 8 8 10 10 9 10 9 8 7 8 9 10 11 10 10 8 7 7 8 9 10 10 9 9 7 8 7 8 8 9, where the 103 total steps consist of 10 8 11 8 9 10 9 10 9 8 8 7 7 7 7 8 10 9 10 8 9 9 10 9 9 7 7 8 8 7 7 8 9 8 8 9 8 9 10 10 10 10 11 8 7 7 7 7 8 7 9 11 9 7 8 8 8 7 10 8 9 11 9 7 7 7 9 9 8 7 8 9 10 9 8 10 8 7 8 9 8 7 7 8 9 8 9 10 8 7 8 7 8 10 10 9 9 11 8 8 8 7

Description

PNEUMATIC RIM THAT HAS AN IMPROVED SEQUENCE OF STEPS BACKGROUND OF THE INVENTION The present invention relates to a pneumatic tire, more particularly to a tread pattern for a pneumatic tire. As a tire travels on a surface, a movement of the air occurs, creating an audible sound. For any given pattern of tread, a certain amount of acoustic energy is produced. While two different tread patterns can produce the same amount of acoustic energy, the noise produced by each can have drastically different effects on people. A tire can have a rough and unpleasant sound and another, a very acceptable sound. The difference between the two sounds is in their frequency spectrum and can result in a different subjective audible reaction. The condition where the generated sound is dominated by a single frequency and its harmony, that is, a majority of the generated sound is concentrated in a very small frequency range of the sound spectrum, which is inconvenient. This situation is psychologically disturbing to a listener, creating an uncomfortable sensation. Additionally, in addition to being irritating, total sounds can be perceived at great distances and require more sound-proof material, compared to non-total sounds. If a given concentration of sound energy can be spread over a wider range of frequency, the inconvenient shape of the sound would be reduced. Several methods have been suggested in the past to reduce the objectionable noise generated by the tires, by disseminating the energy produced over the frequency range. For example, the patents of E. U. A., Nos. 4,327,792 and 4,474,223, disclose a method for disseminating noise by load bearing elements of a tread of the rim. This is achieved by designing load carrying elements according to a five-stage procedure, to determine the maximum number of repeated cycles of the design, which can be used, selecting the maximum step ratio, determining the appropriate number of harmonic segments in the which the tread can be divided, determining the size of each harmonic segment and the number of design cycles for each harmonic segment and finally arranging the various design cycles in each of the harmonic segments, so that the wavelength of the predominant frequency of modulation of the segment corresponds to the length of the formula of that segment.
SUMMARY OF THE INVENTION The present invention relates to a rim provided with a tread band having a plurality of load bearing elements, placed above the circumference of the rim. This tread has a step sequence comprising: (a) from 67 to 103 total steps; (b) only four or five different step lengths and the indivisible minor integers used for the step sequences, which have four step lengths, are 7-8-9 and 10, and the smallest indivisible integers used for the sequences of Steps that have five step lengths are 7-8-9-10 and 11; (c) a ratio of the longest step length to the shortest step length not exceeding 1.58; (d) a ratio of the longest step length to the shortest step length of any two steps, which precede or follow each other, which does not exceed 1.43; (e) there is no case in the step sequence, where the shortest step length directly precedes or follows directly to the longest step length; (f) there is a constant increase in step length at four or five different pitch lengths as it progresses from the shortest step length to the longest step length. Detailed Description of the Drawings Figure 1 is a graphic illustration of the Harmonic Analysis of the pulse function for a tire tread with 79 steps, obtained according to the present invention and using the sequence of steps dosed herein. Figure 2 is a graphical illustration of the Harmonic Analysis of the pulse function for a tire tread band having 79 steps, obtained according to the patent of E. U. A., No. 4,474,223. Detailed Description of the Invention As used herein and in the claims, the following terms are intended to mean: "Step", also known as "design cycle", means a section of the tread, in the circumferential direction, which is repeated around the outer circumference of the rim. Typically, a step contains a load carrying element and an adjacent slot, which separates attachments that carry load on a tread of the rim. However, the limits of a pitch in the circumferential direction may bisect a load carrying element or the adjacent slot, depending on the point at the limit in the axial direction. Even so, each step generally contains the total of at least one item carrying charge and at least one slot, but may consist of two fractions which total one item or full slot. "Step ratio" means the ratio of the length of the longest design cycle to the shortest design cycle length. "Sequence of passage" means the particular arrangement of different segments of the length of the design cycle, around the complete circumference of the tread. "Pneumatic tire" means a mechanical laminated device, generally of toroidal configuration (usually an open bull shape), having flanges, a fabric or framework layer and a tread band. The pneumatic tires of the present invention have an improved passage sequence. The use of these sequences in the tires results in improved subjective properties of the noise and is believed to result in the reduction of irregular wear of the tread. The ratio of the longest step length to the shortest step length must not exceed 1.58. Preferably, the ratio varies from 1.42 to 1.58.
This ratio of the length of the longest step to the shortest step length of any of two steps that precede or follow each other, must not exceed 1.43. Therefore, this step length ratio varies from 1.0 to 1.43. In the sequences of the steps used in the present invention, the smaller indivisible integers used for the step sequences, which have four step lengths, are 7, 8, 9 and 10 and for the step sequences having five step lengths , the step relationships are 7, 8, 9, 10 and 11. There is a constant increase in the step length in the four different step lengths and the five different step lengths, as one progresses from the step length over cut to the longest step length. For example, for a step length ratio of 7, 8, 9 and 10, there is a constant increase of 1. There are nine sequence of steps which are the preferred embodiments of the present invention. In terms of these step relationships, the following sequences are described. The sequences below are interpreted in terms of a closed loop (like a tire) and any step can start the sequence or finish the sequence, as long as the order of the sequence is maintained. The first sequence of steps consists of 67 total steps. This sequence of steps is as follows: 7 9 8 8 9 10 11 9 10 7 7 7 7 7 7 9 10 10 8 11 10 11 8 8 8 7 9 8 10 7 7 7 9 8 9 10 10 8 8 7 7 10 11 9 7 7 8 7 7 9 8 10 9 11 8 8 8 7 9 10 11 8 8 7 19.
The second preferred sequence of steps has a total of 69 steps and is as follows: 10 9 11 9 7 7 7 8 10 8 7 7 7 8 9 9 10 10 7 7 8 9 9 11 8 7 8 7 7 8 8 10 7 7 10 9 9 11 8 9 8 8 9 8 7 8 7 10 9 8 8 9 11 9 9 8 8 8 9 7 7 7 9 10 10 9.
The third preferred step sequence consists of 71 total steps and is as follows: 8 10 7 8 7 10 8 11 10 9 8 7 7 7 8 8 9 11 9 7 7 9 10 10 8 7 8 7 7 10 8 8 9 7 10 8 11 9 9 9 7 8 8 8 7 9 8 10 9 10 11 10 10 7 9 7 7 7 7 8 9 9 9.
The fourth preferred sequence of steps consists of total steps and is as follows: 8 7 8 9 9 9 10 9 8 8 8 8 7 7 7 9 8 9 9 7 7 8 8 9 9 9 9 10 8 8 8 7 7 8 9 9 9 9 10 9 10 10 10 10 8 7 8 7 7 7 8 10 9 8 7 9 10 10 10 8 7 7 7 8 19.
The fifth preferred sequence of steps consists of total steps and is as follows: 7 8 8 8 11 9 10 10 9 11 8 7 8 8 8 9 11 10 8 7 8 8 9 8 7 10 9 10 9 8 7 8 8 9 10 8 9 7 8 7 7 7 8 10 8 9 11 9 10 8 8 8 7 7 9 11 8 10 7 8 9 11 11 9 8 7 7 7.
The sixth preferred sequence of steps consists of total steps and is as follows: 9 11 9 10 8 7 7 8 9 10 11 9 8 7 8 8 7 8 10 9 11 8 8 7 7 7 8 9 9 10 10 10 10 11 8 8 9 8 9 7 10 10 7 8 8 11 11 10 9 9 8 8 7 7 7 8 8 11 9 8 10 11 10 9 8 7 7 7 8 9.
The seventh preferred sequence of steps consists of total steps and is as follows: 7 10 9 9 8 8 7 8 7 8 10 9 9 8 8 7 9 10 11 9 7 8 8 7 8 9 10 10 10 9 8 8 8 8 10 7 9 9 9 8 10 9 11 8 8 7 7 7 8 9 8 9 9 11 9 8 9 9 7 7 8 7 8 9 10 9 11 10 9 11 10 9 7 7 7 7.
The eighth preferred sequence of steps consists of total steps and is as follows: 9 10 9 8 8 9 10 10 8 7 7 8 9 9 9 9 9 8 7 7 9 11 9 8 8 10 8 8 8 10 9 8 7 7 7 8 11 10 9 11 9 9 9 7 7 10 10 11 8 8 9 8 9 10 8 7 7 8 8 7 8 8 8 10 9 10 9 8 7 8 9 10 10 10 8 7 7 8 9 10 10 9 7 8 7 8 8 9.
The ninth preferred sequence of steps consists of 103 total steps and is as follows: 8 11 8 9 10 9 10 9 8 8 7 7 7 7 8 10 9 10 8 9 9 10 9 9 7 7 8 8 7 7 8 9 8 8 9 8 9 10 10 10 11 8 7 7 7 7 8 7 9 11 9 7 8 8 8 7 10 8 9 11 9 7 7 7 9 9 8 7 8 9 10 9 8 10 8 7 8 9 8 7 7 8 9 8 9 10 8 7 8 7 8 10 10 9 9 11 8 8 8 7 8.
The rims of the present invention can be for passenger vehicles, multipurpose vehicles, light trucks and medium trucks. According to the present invention, what determines the length of the individual design cycles in a given rim are the requirements of (a) there are only 67 to 103 total steps, (b) only four or five different step lengths, (c) the specific sequence of the step, (d) the four or five length ratios of the design cycle and (e) the known outer circumference of the rim. To determine how long each design cycle will be for a rim of a given external circumference, one takes the sum of all the integers in the sequence of steps, expressed in terms of relations. For example, from the previous sequence of 67 steps, the sum would be 574 (7 x 19 + 8 x 17 + 9 x 11 + 10 x 14 + 11 x 6). For a rim of size P195 / 65R15, the outer circumference will be of 2001 mm. If one divides the external circumference of 2001 mm by 574, 3,486 is obtained. One takes this number, 3,486, and multiplies it by 7, 8, 9, 10, and 11, to supply the respective lengths of steps, 24.40, 27.89, 31.37, 34.86, and 38.35.
EXAMPLE 1 Computer simulation tests were carried out, comparing the Harmonic Analysis of the pulse function of the treads of the tires with the sequences of steps, arranged according to the present invention, versus the sequences of steps of according to the US patent, No. 4,474,223. Figure 1 is a graphic illustration of the Harmonic Analysis of the impulse function, which uses the sequence of steps consisting of 79 individual steps, which are as follows: 8 10 9 11 9 10 8 7 7 8 9 9 10 11 9 8 7 8 8 7 9 8 10 9 11 8 8 7 7 7 7 8 9 9 10 10 10 10 11 8 7 8 9 8 9 7 10 10 7 8 8 8 11 11 10 9 9 8 8 7 7 7 7 8 8 11 9 8 10 11 10 9 8 7 7 7 8 9.
Figure 2 is a graphical illustration of the Harmonic Analysis of the pulse function, which uses a sequence of steps consisting of 79 individual steps, according to the patent of E. U. A., No. 4,474,223, and which are as follows: 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 11 11 11 11 11 11 11 11 9 9 9 7 7 7 7 7 7 9 9 9 9 9 9 11 11 11 11 11 11 9 9 9 7 7 7 7 9 9 9 9 11 11 11 11 9 9 7 7 7 7 7 9 9 9 9 9 11 11 11 11 11 9 9.
When comparing Figures 1 and 2, it is seen that the Fourier spectrum of the pulse function for the tread of the rim, where the sequence of steps is arranged, according to the present invention (Figure 1) has harmonic components more flat than the sequence of steps in Figure 2. The flatter harmonic components produce a reduced noise of the rim, as this rim makes contact with the road surface. The quality of the calculated Fourier spectrum can also be expressed by a maximum Normalized Amplitude. It is clearly visible from the comparison of Figures 1 and 2, that the maximum Normalized Amplitude, calculated from the step sequence (s), according to the present invention, is smaller than that according to the US patent. , No. 4,474,223. Therefore, it has been determined that a rim having the steps disposed in accordance with the present invention has a reduction in tread noise, as the rim contacts the road surface. In particular, there is a reduction of the maximum amplitude in the 200 harmonic spectrum by more than 20 percent.

Claims (15)

  1. CLAIMS 1. A rim provided with a tread, having a plurality of load-bearing elements, placed around the circumference of the rim, this tread has a sequence of steps characterized by: (a) from 67 to 103 total steps; (b) only four or five different step lengths and the indivisible minor integers used for the step sequences, which have four step lengths, are 7-8-9 and 10, and the smallest indivisible integers used for the sequences of Steps that have five step lengths are 7-8-9-10 and 11; (c) a ratio of the longest step length to the shortest step length not exceeding 1.58; (d) a ratio of the longest step length to the shortest step length of any two steps, which precede or follow each other, which does not exceed 1.43; (e) there is no case in the step sequence, where the shortest step length directly precedes or follows directly to the longest step length; (f) there is a constant increase in step length at four or five different pitch lengths as it progresses from the shortest step length to the longest step length.
  2. 2. The rim of claim 1, characterized in that the sequence of steps consists of 67 total steps and consists of: 7 9 8 8 9 10 11 9 10 7 10 7 7 7 7 7 9 10 10 8 11 10 11 8 8 8 7 9 8 10 7 7 7 9 8 9 10 10 8 8 7 7 10 11 9 7 7 8 7 7 10 9 8 10 9 11 8 8 8 7 9 10 11 8 8 7 19.
  3. 3. The rim of claim 1, characterized in that the sequence of steps consists of 69 total steps and consists of: 10 10 9 11 9 7 7 7 8 10 10 8 7 7 7 8 9 9 10 10 7 7 8 9 9 11 8 7 8 7 7 8 8 10 7 7 10 9 9 11 8 9 8 8 9 8 7 8 7 10 10 9 8 8 9 11 9 9 8 8 8 9 7 7 7 9 10 10 9.
  4. 4. The rim of claim 1, characterized in that the sequence of steps consists of 71 total steps and consists of: 8 8 10 7 8 7 10 8 11 10 10 9 8 7 7 7 8 8 9 11 8 9 7 7 9 10 10 8 7 8 7 7 7 10 8 8 9 7 10 8 8 11 9 9 9 7 8 8 8 7 8 9 8 10 9 10 11 10 10 7 8 9 7 7 7 7 8 9 9 9
  5. 11. 5. The rim of claim 1, characterized in that the sequence of steps consists of 73 total steps and consists of: 9 8 7 8 9 9 9 10 9 8 8 8 8 8 7 7 7 9 8 9 10 9 7 7 8 8 9 9 9 9 10 10 8 8 8 7 7 8 9 9 7 9 9 10 9 10 10 10 10 8 7 7 8 7 7 7 8 10 9 8 9 7 9 10 10 10 8 7 7 7 7 8 19.
  6. 6. The rim of claim 1, characterized in that the sequence of steps consists of 76 total steps and consists of: 7 7 8 8 8 11 9 10 10 9 9 11 8 7 8 8 8 9 11 10 9 8 7 8 8 9 8 7 10 9 11 10 9 8 7 8 8 9 10 8 10 9 7 8 7 7 7 8 10 8 11 9 11 9 10 8 8 8 7 7 8 9 11 8 10 7 8 9 11 11 10 9 8 7 7 7.
  7. 7. The rim of claim 1, characterized in that the sequence of steps consists of 79 total steps and consists of: 8 10 9 11 9 10 8 7 7 8 9 9 10 11 9 8 7 8 8 7 9 8 10 9 11 8 8 7 7 7 7 8 9 9 10 10 10 10 11 8 7 8 9 8 9 7 10 10 7 8 8 8 11 11 10 9 9 8 8 7 7 7 7 8 8 11 9 8 10 11 10 10 9 8 7 7 7 8 9.
  8. 8. The rim of claim 1, characterized in that the sequence of steps consists of 85 total steps and consists of: 8 7 10 9 9 8 8 7 8 7 9 8 10 9 9 8 8 7 9 10 8 11 9 7 8 8 7 8 9 10 10 10 10 9 8 8 8 8 10 7 9 9 9 9 8 10 9 11 8 8 7 7 7 7 8 9 8 9 9 11 10 9 8 9 9 7 7 8 7 8 8 9 10 9 11 10 9 11 10 9 8 7 7 7 7.
  9. 9. The rim of claim 1, characterized in that the sequence of steps consists of 98 total steps and consists of: Ll 9 10 9 8 8 9 10 10 8 7 7 7 8 9 9 9 9 9 8 7 7 7 9 11 9 8 8 10 8 8 8 8 10 9 8 7 7 7 8 8 11 10 9 11 9 9 9 7 7 8 10 10 11 8 8 9 8 9 10 9 8 7 7 8 8 7 8 8 8 10 10 9 10 9 8 7 8 9 10 11 10 10 8 7 7 8 9 10 10 9 9 7 8 7 8 8 9.
  10. 10. The rim of claim 1, characterized in that the sequence of steps consists of 103 total steps and consists of: 10 8 11 8 9 10 9 10 9 8 8 7 7 7 7 8 10 9 10 8 9 9 10 9 9 7 7 8 8 7 7 8 9 8 8 9 8 9 10 10 10 10 11 8 7 7 7 7 8 7 9 11 9 7 8 8 8 7 10 8 9 11 9 7 7 7 9 9 8 7 8 9 10 9 8 10 8 7 8 9 8 7 7 8 9 8 9 10 8 7 8 7 8 10 10 9 9 11 8 8 8 7 8.
  11. 11. The rim of claim 1, characterized in that the ratio of the longest step to the shortest step length varies from 1.42 to 1.58.
  12. 12. The rim of claim 1, characterized in that the rim is for a passenger vehicle.
  13. 13. The rim of claim 1, characterized in that the rim is for a multi-purpose vehicle.
  14. 14. The rim of claim 1, characterized in that the rim is for a light truck.
  15. 15. The rim of claim 1, characterized in that the rim is for a medium truck.
MXPA/A/1998/001443A 1995-09-05 1998-02-23 Pneumatic rim that has an improved sequence of pa MXPA98001443A (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US08523708 1995-09-05
US08/523,708 US5753057A (en) 1995-09-05 1995-09-05 Pneumatic tire having pitch sequencing
PCT/US1996/013054 WO1997009184A1 (en) 1995-09-05 1996-08-13 Pneumatic tire having improved pitch sequencing

Publications (2)

Publication Number Publication Date
MX9801443A MX9801443A (en) 1998-05-31
MXPA98001443A true MXPA98001443A (en) 1998-10-23

Family

ID=

Similar Documents

Publication Publication Date Title
US4474223A (en) Spreading noise generated by load supporting elements of a tire tread
US4327792A (en) Spreading noise generated by load supporting elements
US5753057A (en) Pneumatic tire having pitch sequencing
US5759312A (en) Pneumatic tire having pitch sequencing
US5125444A (en) Pneumatic tire generating musical pattern sound
US5383506A (en) Pneumatic tire having reduced noise
CA1157752A (en) Spreading noise generated by load supporting elements
US5759310A (en) Pneumatic tire having pitch sequencing
US5743974A (en) Pneumatic tire having pitch sequencing
MXPA98001443A (en) Pneumatic rim that has an improved sequence of pa
MXPA98001398A (en) Pneumatic rim that has an improved sequence of pa
JP4311788B2 (en) Pneumatic tire
MXPA98001397A (en) Pneumatic rim that has an improved sequence of pa
JPH0429562B2 (en)
JPS6025806A (en) Low noise tire
JPH01282006A (en) Pneumatic tire
JPH0761211A (en) Pneumatic tire
JPH09136513A (en) Pneumatic tire
EP0630767B1 (en) Pneumatic tyre
KR100808300B1 (en) Method for designing tread pattern of noise reduction tire
JPH0840016A (en) Pneumatic tire
JPH10100614A (en) Low noise tire
CA1176966A (en) Spreading noise generated by load supporting elements
JPH0825907A (en) Emergency use tire
JPH06206404A (en) Pneumatic tire