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CN112606629B - Wide band low noise pneumatic tire tread pattern - Google Patents

Wide band low noise pneumatic tire tread pattern Download PDF

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Publication number
CN112606629B
CN112606629B CN202011581397.XA CN202011581397A CN112606629B CN 112606629 B CN112606629 B CN 112606629B CN 202011581397 A CN202011581397 A CN 202011581397A CN 112606629 B CN112606629 B CN 112606629B
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cavity
neck
resonator
tire
along
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CN112606629A (en
Inventor
张永斌
周世文
毕传兴
王帅
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Hefei University of Technology
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Hefei University of Technology
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B60—VEHICLES IN GENERAL
    • B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
    • B60C11/00—Tyre tread bands; Tread patterns; Anti-skid inserts
    • B60C11/03—Tread patterns
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B60—VEHICLES IN GENERAL
    • B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
    • B60C11/00—Tyre tread bands; Tread patterns; Anti-skid inserts
    • B60C11/03—Tread patterns
    • B60C11/12—Tread patterns characterised by the use of narrow slits or incisions, e.g. sipes
    • B60C11/1236—Tread patterns characterised by the use of narrow slits or incisions, e.g. sipes with special arrangements in the tread pattern
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B60—VEHICLES IN GENERAL
    • B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
    • B60C19/00—Tyre parts or constructions not otherwise provided for
    • B60C19/002—Noise damping elements provided in the tyre structure or attached thereto, e.g. in the tyre interior
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B60—VEHICLES IN GENERAL
    • B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
    • B60C11/00—Tyre tread bands; Tread patterns; Anti-skid inserts
    • B60C11/03—Tread patterns
    • B60C2011/0337—Tread patterns characterised by particular design features of the pattern
    • B60C2011/0339—Grooves
    • B60C2011/0341—Circumferential grooves
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00—Road transport of goods or passengers
    • Y02T10/80—Technologies aiming to reduce greenhouse gasses emissions common to all road transportation technologies
    • Y02T10/86—Optimisation of rolling resistance, e.g. weight reduction 

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Tires In General (AREA)

Abstract

The invention discloses a tread pattern of a broadband low-noise pneumatic tire, which is characterized in that a longitudinal groove and a resonator are arranged on a grounding tread of the tire; the longitudinal grooves extend continuously along the circumferential direction of the tire; the resonator comprises a single-cavity resonator and a double-cavity resonator; the single-cavity resonators and the double-cavity resonators are arranged on one side of the longitudinal groove at intervals in parallel; the single-cavity resonator is composed of a single-cavity neck and a single-cavity body, and the double-cavity resonator is composed of a front-section resonator and a rear-section resonator which are connected in series. The invention adopts the Helmholtz resonators in series-parallel connection combined patterns, not only can control the tire tube cavity resonance noise in a wide frequency range, but also can effectively reduce the resonance noise generated by the longitudinal grooves beside the resonators.

Description

Wide band low noise pneumatic tire tread pattern
Technical Field
The present invention relates to a tread pattern for a pneumatic tire, and more particularly to a tread pattern for a pneumatic tire that reduces resonance noise in a tire cavity.
Background
The proportion of tire noise in automobile noise is further increased with the engine noise and the vibration noise of the automobile well controlled. The tire lumen resonance noise is one of the main sources of tire noise, and is caused by air column resonance generated by a pipeline with two open ends formed by a longitudinal groove of a tire tread and the ground, generally generated within the range of 800 plus 1200Hz and is in the sensitive frequency range of human ears, so that the control of the tire lumen resonance noise is an important measure for protecting the physical and mental health of drivers.
In order to reduce the resonance noise of the tire cavity, it has been proposed to provide a helmholtz resonator on the tread surface, the narrow neck opening of which communicates with the longitudinal groove, the end of the cavity terminating in a grounded tread surface, and a plurality of identical resonators arranged in series circumferentially along the tire longitudinal groove. However, the related art has the following problems:
1. the Helmholtz resonator can generate two obvious resonance peak values with the longitudinal groove while reducing the resonance noise of the tire tube cavity, and the two peak values are lower than the tube cavity resonance peak value generated by the longitudinal groove, but still distributed in the range of about 800-1200Hz frequency band to cause discomfort of human ears, so the peak value still needs to be further controlled;
2. because the resonance noise of the tire tube cavity is generated in the wide frequency range of 800-1200Hz, the noise elimination frequency of the tire longitudinal groove is single due to the fact that a plurality of same Helmholtz resonators are arranged in the circumferential direction of the tire longitudinal groove, and the working bandwidth of the resonators cannot be well widened only by the aid of the periodicity of the resonators.
Disclosure of Invention
The invention aims to avoid the defects of the prior art and provides a broadband low-noise pneumatic tire tread pattern, which can reduce the resonance peak value generated by a longitudinal groove connected beside a resonator while controlling the resonance noise of a tire tube cavity and can effectively widen the noise elimination bandwidth of the tread pattern.
The invention adopts the following technical scheme for solving the technical problems:
the invention relates to a tread pattern of a broadband low-noise pneumatic tire, which is characterized in that: arranging a longitudinal groove and a resonator on a ground-contacting tread of a tire; the longitudinal groove extends continuously along the circumferential direction of the tire; the resonator comprises a single-cavity resonator and a double-cavity resonator; the front end of a single cavity in the single-cavity resonator is communicated with the longitudinal groove through a single-cavity neck, and the tail end of the single cavity is stopped at the grounding tread; the dual-cavity resonator is formed by connecting a front-section resonator and a rear-section resonator in series, wherein the series connection refers to that: the front cavity in the front section resonator is communicated with the longitudinal groove through a front cavity neck at the front end, the tail end of the rear cavity in the rear section resonator is stopped at the grounding tread, and the rear cavity is communicated with the front end surface and the rear end surface of the front cavity through the rear cavity neck; the single-cavity resonators and the double-cavity resonators are arranged on one side of the longitudinal groove in parallel at intervals.
The tread pattern of the broadband low-noise pneumatic tire is also characterized in that:
the volume of the single cavity neck is smaller than that of the single cavity body, the depth of the single cavity neck in the longitudinal direction of the tire is smaller than that of the single cavity body in the longitudinal direction of the tire, and the depth of the single cavity body in the longitudinal direction of the tire is smaller than that of the longitudinal groove in the longitudinal direction of the tire;
the volume of the front cavity neck is smaller than that of the front cavity, the depth of the front cavity neck in the longitudinal direction of the tire is smaller than that of the front cavity in the longitudinal direction of the tire, and the depth of the front cavity in the longitudinal direction of the tire is smaller than that of the longitudinal groove in the longitudinal direction of the tire;
the volume of the rear cavity neck is smaller than that of the rear cavity, the depth of the rear cavity neck in the longitudinal direction of the tire is smaller than that of the rear cavity in the longitudinal direction of the tire, and the depth of the rear cavity in the longitudinal direction of the tire is smaller than that of the longitudinal groove in the longitudinal direction of the tire.
The tread pattern of the broadband low-noise pneumatic tire is also characterized in that: each cavity neck comprises the single cavity neck, a front cavity neck and a rear cavity neck, and the cross section of each cavity neck is rectangular; and has the following components:
lA>wA，lB1>wB1，lB2>wB2,lB1≤lB2
wherein:
lAfor the length of the single-cavity neck in the transverse direction of the ground-engaging tread, wAThe length of the single-cavity neck along the circumferential direction of the grounding tread;
lB1for the length of the front cavity neck in the transverse direction of the ground-engaging tread, wB1The length of the front cavity neck along the circumferential direction of the grounding tread;
lB2for the length of the rear cavity neck in the transverse direction of the ground-engaging tread, wB2The length of the rear cavity neck along the circumferential direction of the grounding tread;
the tread pattern of the broadband low-noise pneumatic tire is also characterized in that:
setting the resonance frequency f of a single-chamber resonatorAComprises the following steps:
Figure BDA0002866005200000021
setting the resonant frequency f of a front cavity resonator composed of a front neck and a front body in a dual-cavity resonatorB1Comprises the following steps:
Figure BDA0002866005200000022
the dual-cavity resonator is composed of a back cavity neck and a back cavity bodyOf the rear cavity resonator fB2Comprises the following steps:
Figure BDA0002866005200000023
and: f. ofB1<fA<fB2；
Wherein: c. C0Is the speed of sound in the air;
Figure BDA0002866005200000024
Figure BDA0002866005200000025
sA、sB1、sB2the cross sections of the single cavity neck, the front cavity neck and the rear cavity neck are in one-to-one correspondence;
dA、dB1、dB2the diameters of the single cavity neck, the front cavity neck and the rear cavity neck which are equivalent to circular sections are in one-to-one correspondence;
VA、VB1、VB2the volumes of the single cavity, the front cavity and the rear cavity are in one-to-one correspondence;
and x is a tube end correction coefficient with the value of 0.8.
Compared with the prior art, the invention has the beneficial effects that:
1. the Helmholtz resonator is connected in series and in parallel to form combined patterns, the single-cavity resonator acts on the first-order resonance frequency of the tube cavity, and the series double-cavity resonator acts on the vicinity of two peak values generated by the single resonator, so that the peak value of the tire tube cavity near the resonance frequency is effectively reduced, and the two resonance peak values generated by the Helmholtz resonator and a longitudinal groove connected beside the Helmholtz resonator can be effectively reduced;
2. the single-cavity resonator and the serial-type double-cavity resonator are alternately arranged on one side of the longitudinal groove of the tire in parallel, so that the resonance noise of the tube cavity of the tire is reduced in the wide frequency range of 800-1200Hz, and meanwhile, the sound energy of the noise is dispersed into a wider frequency band, so that the energy is prevented from being excessively concentrated, and the purpose of reducing the noise is achieved.
3. The invention connects two different forms of resonator patterns beside the longitudinal groove of the tire, and can reduce the impact sound generated by the pattern blocks impacting the road surface to a certain extent.
Drawings
FIG. 1 is a plan development view of a tread pattern of a pneumatic tire of the present invention;
FIG. 2 is a schematic diagram of a single-chamber resonator according to the present invention;
fig. 3 is a sectional view of a single cavity resonator of the present invention taken along line a-a of fig. 2;
fig. 4 is a schematic structural view of a dual-cavity resonator according to the present invention;
fig. 5 is a sectional view of the dual cavity resonator of the present invention taken along line B-B of fig. 4;
FIGS. 6a, 6b and 6c are three-dimensional schematic diagrams of three grounding models for simulation comparison;
FIG. 7 is a comparison graph of the frequency spectra of the two grounding models shown in FIGS. 6a, 6b and 6 c;
reference numbers in the figures: the structure comprises a longitudinal groove 1, a grounding tread 2, a single-cavity resonator 3, a double-cavity resonator 4, a single-cavity neck 5, a single-cavity 6, a front-cavity neck 7, a front-cavity 8, a rear-cavity neck 9 and a rear-cavity 10.
Detailed Description
Referring to fig. 1, the structural form of the tread pattern of the broadband low-noise pneumatic tire in the embodiment is as follows:
a longitudinal groove 1 and a resonator are arranged on a grounding tread 2 of the tire, the longitudinal groove 1 continuously extends along the circumferential direction of the tire, and the resonator comprises a single-cavity resonator 3 and a double-cavity resonator 4; the front end of a single cavity 6 in the single cavity resonator shown in fig. 2 and 3 is communicated with the longitudinal groove 1 through a single cavity neck 5, and the tail end of the single cavity 6 is stopped at the grounding tread 2; the dual-cavity resonator 4 shown in fig. 4 and 5 is formed by connecting a front-stage resonator and a rear-stage resonator in series, and the series connection means that: a front cavity 8 in the front-section resonator is communicated with the longitudinal groove 1 at the front end through a front cavity neck 7, the tail end of a rear cavity 10 in the rear-section resonator is stopped at the grounding tread 2, and the rear cavity 10 is communicated with the front end surface and the rear end surface of the front cavity 8 through a rear cavity neck 9; the single-chamber resonators 3 and the dual-chamber resonators 4 shown in fig. 1 are arranged in parallel one by one at intervals on one side of the longitudinal groove 1.
The corresponding settings in the specific implementation also include:
the volume of the single cavity neck 5 is smaller than that of the single cavity 6, the depth of the single cavity neck 5 along the longitudinal direction of the tire is smaller than that of the single cavity 6 along the longitudinal direction of the tire, and the depth of the single cavity 6 along the longitudinal direction of the tire is smaller than that of the longitudinal groove 1 along the longitudinal direction of the tire.
The volume of the front cavity neck 7 is smaller than that of the front cavity 8, the depth of the front cavity neck 7 in the longitudinal direction of the tire is smaller than that of the front cavity 8 in the longitudinal direction of the tire, and the depth of the front cavity 8 in the longitudinal direction of the tire is smaller than that of the longitudinal groove 1 in the longitudinal direction of the tire.
The volume of the rear cavity neck 9 is smaller than that of the rear cavity 10, the depth of the rear cavity neck 9 in the longitudinal direction of the tire is smaller than that of the rear cavity 10 in the longitudinal direction of the tire, and the depth of the rear cavity 10 in the longitudinal direction of the tire is smaller than that of the longitudinal groove 1 in the longitudinal direction of the tire.
The tire longitudinal direction means a tire radial direction, i.e., a diameter direction of the tire.
The cross-section that sets up each chamber neck is the rectangle, and each chamber neck includes single chamber neck 5, antechamber neck 7 and back chamber neck 9 to have:
lA>wA，lB1>wB1，lB2>wB2,lB1≤lB2
wherein:
lAthe length of the single-cavity neck 5 in the transverse direction of the grounding tread is the length of the neck of the single-cavity neck 5;
wAthe length of the single-cavity neck 5 along the circumferential direction of the grounding tread is the neck width of the single-cavity neck 5;
lB1the length of the front cavity neck 7 in the transverse direction of the grounding tread is the length of the neck of the front cavity neck 7;
wB1the length of the front cavity neck 7 in the circumferential direction of the grounding tread is the neck width of the front cavity neck 7;
lB2the length of the rear cavity neck 9 in the transverse direction of the grounding tread is the length of the neck of the rear cavity neck 9;
wB2the length of the rear cavity neck 9 in the circumferential direction of the ground-contacting tread,i.e. the neck width of the rear cavity neck 9.
The ground contact tread lateral direction refers to the tire tread width direction, and the ground contact tread circumferential direction refers to the tire circumferential direction, i.e., the tire circumferential direction; setting the resonance frequency f of the single-chamber resonator 3AComprises the following steps:
Figure BDA0002866005200000041
the resonance frequency f of a front cavity resonator consisting of a front cavity neck 7 and a front cavity body 8 in the double-cavity resonator 4 is setB1Comprises the following steps:
Figure BDA0002866005200000042
setting the resonance frequency f of a rear resonator consisting of a rear neck 9 and a rear body 8 in the dual-chamber resonator 4B2Comprises the following steps:
Figure BDA0002866005200000043
and: f. ofB1<fA<fB2；
Resonance frequency f of the single-chamber resonator 3AIs based on the first-order resonance frequency f of the tyre tube cavity0Set of f0The method is determined by substituting a tire tread model only containing a longitudinal groove 1 into a boundary element simulation to calculate a first-order peak value obtained by a frequency response function curve through a sound field; resonance frequency f of the dual-chamber resonator 4B1And fB2Two resonance frequencies f generated by the single-cavity resonator 3 and the longitudinal groove 1 in front and back1And f2Set of f1And f2The method is determined by substituting a tire tread model of a single-cavity resonator 3 beside a longitudinal groove 1 into a boundary element simulation to calculate a frequency response function curve by a sound field to obtain a front peak value and a rear peak value; the preferred scheme is as follows: let fB1Slightly less than f1，fB2Is slightly larger than f2This is because the parallel structure of the resonators causes f1Migration to low frequencies, f2Migration to high frequencies. The Helmholtz resonator series-parallel combined pattern arranged according to the method can control the resonance of the tube cavity of the tire and can also reduce the peak value formed by the single-cavity resonator and the longitudinal grooves.
Wherein: c. C0Is the speed of sound in air; m and N are both mathematical representations for simplifying fB1And fB2The expression of (2);
Figure BDA0002866005200000051
Figure BDA0002866005200000052
sA、sB1、sB2the cross sections of the single cavity neck 5, the front cavity neck 7 and the back cavity neck 9 are in one-to-one correspondence;
VA、VB1、VB2the volumes of the single cavity 6, the front cavity 8 and the rear cavity 9 are in one-to-one correspondence;
dA、dB1、dB2the one-to-one correspondence is the equivalent diameter of becoming circular cross section of single chamber neck 5, preceding chamber neck 7 and back chamber neck 9, is the equivalent diameter of becoming circular cross section of neck for rectangular cross section, and it is:
Figure BDA0002866005200000053
and x is a tube end correction coefficient with the value of 0.8.
Simulation verification:
in order to verify the effectiveness of the solution according to the invention, a comparison was made, the first solution being a reference model engraved with only longitudinal grooves 1 as shown in fig. 6a, and the second solution being a tread pattern simulation model according to the invention as shown in fig. 6 b.
In the first reference model shown in fig. 6a, the rectangular block has a length of 180mm, a width of 100mm and a height of 30mm, the surface grooves of the rectangular block are longitudinal grooves 1, the width of the grooves is 8mm and the depth of the grooves is 8 mm;
four single-cavity resonators are formed in the second reference model shown in fig. 6b, the length of the neck of the single-cavity resonator is 6mm, the width of the neck is 1mm, the depth of the neck is 3mm, the length of the resonance cavity is 23.80mm, the width is 10mm, the depth is 6mm, and the volume is 1428mm3(ii) a The single-cavity resonators are alternately arranged in parallel on one side of the longitudinal groove at a spacing of 40 mm.
In the simulation model of the present invention shown in fig. 6c, four helmholtz resonators, two single-chamber resonators and two dual-chamber resonators are formed in an alternating arrangement; the resonance frequency of the single-cavity resonator is set according to the cavity resonance frequency generated by the tire longitudinal groove, and the two resonance frequencies of the double-cavity resonator are set according to the two resonance frequencies generated by the lateral connection of the single-cavity resonator and the longitudinal groove; the neck and cavity shape of single chamber resonator and two-chamber resonator are the rectangle, and the neck length of single chamber resonator is 6mm, and the neck width is 1mm, and the neck degree of depth is 3mm, and the length of sympathetic response cavity is 23.80mm, and the width is 10mm, and the degree of depth is 6mm, and the volume is 1428mm3(ii) a The neck length of the anterior segment resonator of the double-cavity resonator is 6mm, the neck width is 1mm, the neck depth is 3mm, the length of the anterior cavity is 24mm, the width is 10mm, the depth is 6mm, and the volume is 1440mm3(ii) a The length of the neck of the rear-section resonator of the double-cavity resonator is 9mm, the width of the neck is 1mm, the depth of the neck is 2.5mm, the length of the rear cavity is 19mm, the width is 8mm, the depth is 6mm, and the volume is 912mm3(ii) a The single-cavity resonators and the double-cavity resonators are alternately arranged in parallel on one side of the longitudinal groove at a distance of 40 mm.
And performing acoustic boundary element simulation aiming at the reference model and the simulation model, and calculating a sound pressure level frequency response function of a middle measuring point in the pipe. And obtaining the tube cavity resonance frequency of the tire and the corresponding sound pressure level amplitude through the sound pressure frequency response function curve. In the simulation process: the air density was 1.20kg/m3(ii) a The speed of sound in the air is defined as 343.65(1+0.0168i) m/s, and the imaginary part is added to the speed of sound in the air to take the fact that the air in the experimental environment is not ideal gas into consideration and the air has the effect of air damping; the sound source type is monopole sound source, and the sound pressure amplitude is 1N/m
FIG. 7 shows three results obtained from simulationSpectral comparison of species models, curve R in FIG. 71Is the sound pressure level frequency response curve, curve R, of the first reference model shown in FIG. 6a2Is the sound pressure level frequency response curve, curve R, of the second reference model shown in FIG. 6b3The sound pressure level frequency response curve of the tread pattern simulation model of the present invention shown in fig. 6c is shown. As can be seen from FIG. 7, the first-order luminal resonance frequency of the spectrum of the first reference model is 909Hz, and the corresponding sound pressure level amplitude is 142.60 dB; the frequency spectrum of the second reference model has two peaks, the frequency of the first peak is 624Hz, the corresponding peak is 136.91dB, the frequency of the second peak is 1310Hz, and the corresponding amplitude peak is 137.71 dB; the frequency spectrum of the tread pattern simulation model of the invention has four low peaks, the frequency of the first peak is 510Hz, the corresponding peak is 132.37dB, the frequency of the second peak is 752Hz, the corresponding amplitude peak is 127.82dB, the frequency of the third peak is 1147Hz, the corresponding peak is 133.53dB, the frequency of the fourth peak is 1410Hz, and the corresponding amplitude peak is 132.02 dB. Within the frequency band of 0-2000Hz, the RMS value of the first reference model is 161.94dB, the RMS value of the second reference model is 156.78dB, the RMS value of the tread pattern simulation model is 153.82dB, the lumen resonance noise of the tread pattern simulation model is reduced by 8.08dB relative to the first reference model, and is reduced by 5.16dB relative to the lumen resonance noise of the second reference model. Therefore, the pipe cavity resonance peak value at 909Hz is dispersed into four continuous low peak values in the frequency band of 400-1500Hz by the tire tread pattern, the noise elimination frequency band is obviously widened, and the noise reduction effect is obviously improved. The RMS value here refers to the square root of the sum of the squares of all data in the frequency interval, which is used to characterize the amount of energy in the signal.
Through comparison, the tire tread pattern can well control the first-order cavity resonance peak value on one hand, and can also effectively reduce two peak values generated by the side-connected longitudinal grooves of the single-cavity Helmholtz resonator; on the other hand, the centralized tube cavity resonance noise can be dispersed in a wider frequency band, and the purpose of noise reduction of the tire is well achieved.
The examples are given solely for the purpose of illustration and are not to be construed as limitations of the invention, as any equivalent modifications are intended to fall within the scope of the invention.

Claims (3)

1. A tread pattern of a broadband low-noise pneumatic tire is characterized in that: a longitudinal groove (1) and a resonator are arranged on a ground-contacting tread (2) of the tire; the longitudinal groove (1) extends continuously along the circumferential direction of the tire; the resonator comprises a single-cavity resonator (3) and a double-cavity resonator (4); the front end of a single cavity (6) in the single-cavity resonator is communicated with the longitudinal groove (1) through a single-cavity neck (5), and the tail end of the single cavity (6) is stopped at the grounding tread (2); the dual-cavity resonator (4) is formed by connecting a front-section resonator and a rear-section resonator in series, wherein the series connection refers to that: a front cavity (8) in the front section resonator is communicated with the longitudinal groove (1) at the front end through a front cavity neck (7), the tail end of a rear cavity (10) in the rear section resonator is stopped at the grounding tread (2), and the rear cavity (10) is communicated with the front end surface and the rear end surface of the front cavity (8) through a rear cavity neck (9); the single-cavity resonators (3) and the double-cavity resonators (4) are arranged on one side of the longitudinal groove (1) in parallel at intervals;
setting the resonance frequency of a single-chamber resonator (3)
Figure 722818DEST_PATH_IMAGE001
Comprises the following steps:
Figure 719374DEST_PATH_IMAGE002
the resonance frequency of a front cavity resonator consisting of a front cavity neck (7) and a front cavity (8) in a double-cavity resonator (4) is set
Figure 961000DEST_PATH_IMAGE003
Comprises the following steps:
Figure 236123DEST_PATH_IMAGE004
the resonance frequency of a rear cavity resonator consisting of a rear cavity neck (9) and a rear cavity body (10) in the double-cavity resonator (4) is set
Figure 879594DEST_PATH_IMAGE005
Comprises the following steps:
Figure 277077DEST_PATH_IMAGE006
and:
Figure 5999DEST_PATH_IMAGE007
；
wherein:
Figure 84813DEST_PATH_IMAGE008
is the speed of sound in the air;
Figure 582791DEST_PATH_IMAGE009
Figure 416755DEST_PATH_IMAGE010
、
Figure 367393DEST_PATH_IMAGE011
、
Figure 249898DEST_PATH_IMAGE012
the cross sections of the single cavity neck (5), the front cavity neck (7) and the back cavity neck (9) are in one-to-one correspondence;
Figure 602382DEST_PATH_IMAGE013
、
Figure 544931DEST_PATH_IMAGE014
、
Figure 45182DEST_PATH_IMAGE015
the single cavity neck (5), the front cavity neck (7) and the back cavity neck (9) are equivalent in one-to-one correspondenceA diameter of a circular cross-section;
V A 、V B1、V B2the volumes of the single cavity (6), the front cavity (8) and the rear cavity (10) are in one-to-one correspondence;
Figure 465799DEST_PATH_IMAGE016
is the pipe end correction coefficient with the value of 0.8;
Figure 938369DEST_PATH_IMAGE017
the length of the single cavity neck (5) along the transverse direction of the grounding tread;
Figure 51818DEST_PATH_IMAGE018
the length of the front cavity neck (7) along the transverse direction of the ground-contacting tread;
Figure 977049DEST_PATH_IMAGE019
the length of the rear cavity neck (9) along the transverse direction of the ground-contacting tread is the length.
2. The broadband low noise pneumatic tire tread pattern of claim 1, wherein:
the volume of the single cavity neck (5) is smaller than that of the single cavity body (6), the depth of the single cavity neck (5) along the longitudinal direction of the tire is smaller than that of the single cavity body (6) along the longitudinal direction of the tire, and the depth of the single cavity body (6) along the longitudinal direction of the tire is smaller than that of the longitudinal groove (1) along the longitudinal direction of the tire;
the volume of the front cavity neck (7) is smaller than that of the front cavity (8), the depth of the front cavity neck (7) along the longitudinal direction of the tire is smaller than that of the front cavity (8) along the longitudinal direction of the tire, and the depth of the front cavity (8) along the longitudinal direction of the tire is smaller than that of the longitudinal groove (1) along the longitudinal direction of the tire;
the volume of rear cavity neck (9) is less than the volume of rear cavity (10), rear cavity neck (9) is less than rear cavity (10) along the ascending degree of depth of tire vertical, rear cavity (10) is less than vertical ditch (1) along the ascending degree of depth of tire vertical.
3. The broadband low noise pneumatic tire tread pattern of claim 1, wherein: each cavity neck comprises the single cavity neck (5), a front cavity neck (7) and a rear cavity neck (9), and the cross section of each cavity neck is rectangular; and has the following components:
Figure 765139DEST_PATH_IMAGE020
wherein:
Figure 826636DEST_PATH_IMAGE021
the length of the single cavity neck (5) along the circumferential direction of the grounding tread;
Figure 110986DEST_PATH_IMAGE022
the length of the front cavity neck (7) along the circumferential direction of the grounding tread;
Figure 523513DEST_PATH_IMAGE023
the length of the rear cavity neck (9) along the circumferential direction of the ground-contacting tread is the length.
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JP2009029354A (en) * 2007-07-30 2009-02-12 Bridgestone Corp Pneumatic tire
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CN105283326A (en) * 2013-04-25 2016-01-27 株式会社普利司通 Pneumatic tire
CN206236423U (en) * 2016-12-13 2017-06-09 南京越博动力系统股份有限公司 A kind of Frequency Adjustable heimholtz resonator
CN111619292A (en) * 2020-06-05 2020-09-04 合肥工业大学 Low-noise pneumatic tire tread pattern

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JP2009029259A (en) * 2007-07-26 2009-02-12 Bridgestone Corp Pneumatic tire
JP2009029354A (en) * 2007-07-30 2009-02-12 Bridgestone Corp Pneumatic tire
CN105283326A (en) * 2013-04-25 2016-01-27 株式会社普利司通 Pneumatic tire
CN206236423U (en) * 2016-12-13 2017-06-09 南京越博动力系统股份有限公司 A kind of Frequency Adjustable heimholtz resonator
CN111619292A (en) * 2020-06-05 2020-09-04 合肥工业大学 Low-noise pneumatic tire tread pattern

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