CN116448319B - Tire dynamic balance detection method, device, medium, equipment and terminal - Google Patents
Tire dynamic balance detection method, device, medium, equipment and terminal Download PDFInfo
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- CN116448319B CN116448319B CN202310712714.4A CN202310712714A CN116448319B CN 116448319 B CN116448319 B CN 116448319B CN 202310712714 A CN202310712714 A CN 202310712714A CN 116448319 B CN116448319 B CN 116448319B
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Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M1/00—Testing static or dynamic balance of machines or structures
- G01M1/14—Determining unbalance
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M17/00—Testing of vehicles
- G01M17/007—Wheeled or endless-tracked vehicles
- G01M17/02—Tyres
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- 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
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Abstract
The invention belongs to the technical field of tire detection, and discloses a method, a device, a medium, equipment and a terminal for detecting dynamic balance of a tire, wherein a clamp for the tire is fixed on the detection equipment, and the system is used for controlling a vibration table to apply excitation force or external excitation of excitation displacement to the tire; the sensor detects the amplitude of a certain position of the tire and records the data in the system, and the system analyzes the obtained amplitude data of the certain position of the tire to determine the dynamic balance condition of the tire. The invention solves the problems of the existing tire dynamic balance detection method by adding the counterweight and reducing the local mass, thereby ensuring that the tire is normally used. According to the invention, a plurality of clamps can be arranged on one vibrating table, and whether a plurality of tires reach a dynamic balance state can be detected, so that people are liberated from heavy physical labor, partial mental labor and severe dangerous working environments, the production efficiency is greatly improved, and the consistency is improved due to the fact that the testing flow belongs to program control, and the device is suitable for batch production.
Description
Technical Field
The invention belongs to the technical field of tire detection, and particularly relates to a method, a device, a medium, equipment and a terminal for detecting dynamic balance of a tire.
Background
At present, the method for detecting the dynamic balance of the tire is mainly realized by a dynamic balancing machine, the tire is arranged on a rotatable shaft, and the periphery of the shaft is provided with sensors; the tire is driven to rotate by the high-speed rotation of the shaft, and the centrifugal force applied to the sensor is converted into an electric signal; through continuous measurement of the signals, the analysis of the computer is used for detecting whether the tire is in dynamic balance. The method is suitable for detecting single tires, but is very unfriendly to the tires produced in mass production, and belongs to the waste of cost improvement, manpower, material resources and financial resources.
Through the above analysis, the problems and defects existing in the prior art are as follows: the existing method for detecting the dynamic balance of the tires is only suitable for detecting single tires, and has low efficiency and high cost when detecting a large number of tires.
Disclosure of Invention
Aiming at the problems existing in the prior art, the invention provides a method, a device, a medium, equipment and a terminal for detecting dynamic balance of a tire.
The invention is realized in such a way that a method for detecting the dynamic balance of a tire comprises the following steps: the tire clamp is fixed on detection equipment, and the system is used for controlling the vibration table to apply external excitation of exciting force or exciting displacement to the tire; the sensor detects the amplitude of a certain position of the tire and records the data in the system, and the system analyzes the obtained amplitude data of the certain position of the tire to determine the dynamic balance condition of the tire.
Further, the tire dynamic balance includes: when the rigid body rotating shaft passes through the mass center and is an inertial main shaft, no additional dynamic constraint force of the bearing occurs when the rigid body rotates; the vibration response of the tire is realized through modal analysis, the value of the frequency of the vibration exciting force is applied when the amplitude of a certain position of the tire reaches the maximum value is detected by applying simple harmonic vibration exciting force on the tire, and whether the tire reaches a dynamic balance state is judged through the value of the frequency;
further, by detecting the amplitude data of the tire tread and judging the vibration mode of the tread, the position and the size of the uneven dynamic unbalance mass can be judged, the size of the uneven mass can be obtained according to the size of the vibration mode displacement value, and the problem of dynamic unbalance is solved.
Further, the vibration response analysis of the tire further includes:
dividing the acoustic grid outline of the tire by using Hypermesh software, analyzing the acoustic transfer vector, and obtaining the tire modal finite element analysis result by using ABAQUS;
leading in a finite element analysis result of a tire mode and analyzing a tire mode participation factor through a tire structural grid by using external excitation force in a frequency domain between the tire and a road surface;
the tire modal participation factors are imported into acoustic transfer vectors, and vibration response of the tire is analyzed through data mapping transfer technology and modal acoustic transfer vector technology.
Further, the analysis method of the data mapping transfer comprises the following steps:
with the nodes of the acoustic mesh of the tire as the center of a circle,dfor the radius within the circle, determining the mostiThe nodes on the tire structural grid are used as the original data of the nodes on the tire acoustic grid; if the number of nodes on the tire structural grid obtained in the circle is more than or equal toiIf so, selecting the one closest to the center of the circleiThe individual nodes are used as the original data of the nodes on the acoustic grid of the tire; if the number of nodes on the tire structural grid obtained in the circle is less thaniIf the node on the tire structural grid found in the circle is selected as the original data of the node on the tire acoustic grid, the tire modal finite element analysis result of a certain node on the tire acoustic grid is as follows:
；
in the method, in the process of the invention,P target analyzing information for modal finite elements of nodes on the acoustic grid of the tire;d 1 、d 2 、...d i to obtain the first on the structural grid of the tyreiThe distance from the individual nodes to the center of the circle,dtaking the diameter of the steel sheet to be 20-40 mm,itaking 2-4;P 1 、P 2 、...P i to obtain the first on the structural grid of the tyreiTire modality finite element analysis information for individual nodes.
Further, the exciting force is a simple harmonic load, the exciting displacement is a simple harmonic displacement, and the simple harmonic load is a process that the exciting force changes along with time according to a sine or cosine rule, and then:
；
wherein H is the amplitude of the exciting force,the circle frequency of the exciting force is represented by t, and the time is represented by t.
The differential equation of the object motion is:
；
wherein m is the mass of the object, C is the viscous damping coefficient, K is the stiffness coefficient, and X is the displacement of the object from the original equilibrium position.
By arranging two sides of the object motion differential equation, dividing by m at the same time, and letting:
，/>，/>；
where h represents the magnitude of the exciting force received by the unit mass,is the natural circular frequency.
The degree of freedom forced vibration differential equation is:
；
the solution of the degree of freedom forced vibration differential equation consists of two parts, then:
；
in the method, in the process of the invention,is a general solution of homogeneous differential equation, +.>A special solution to the non-homogeneous differential equation, then:
；
。
further, the forced vibration is composed of two parts, the first partFor the damping motion of the initial disturbance, the damping vibration part disappears after a certain time due to the existence of damping; second part->The simple harmonic motion with equal amplitude is forced vibration.
Forced vibration is caused by disturbance force, and as long as the disturbance force exists, the forced vibration is carried out at the frequency of the disturbance force and is not attenuated, so that the forced vibration is a basic characteristic of forced vibration; a phenomenon in which the amplitude is uniformly enlarged when the frequencies of disturbance forces are different is called resonance, and the frequency of disturbance forces is called resonance frequency; wherein, transient solution becomes:
；
in the method, in the process of the invention,is natural angular frequency +.>In order for the excitation force to be that of the vibration,mis the mass of the object, t is the time.
Further, the length of the rotating shaft is increased on the initial dynamic balancing machine, so that the dynamic balance of a plurality of tires can be detected simultaneously;
further, in the configuration of the present invention, the tire is rotated, and the tire is rotated to generate simple harmonic vibration, thereby detecting the dynamic balance of the tire.
Another object of the present invention is to provide a tire dynamic balance detecting device using the tire dynamic balance detecting method, which includes a sensor, a tire, a jig, and a vibrating table.
The sensor is used for detecting the amplitude of a certain position of the tire, the clamp is used for fixing the tire on the detection equipment, and the vibration table is used for externally exciting the tire by controlling the excitation force or the excitation displacement through the system.
Another object of the present invention is to provide a computer device comprising a memory and a processor, the memory storing a computer program which, when executed by the processor, causes the processor to perform the steps of the tire dynamic balance detection method.
Another object of the present invention is to provide a computer-readable storage medium storing a computer program which, when executed by a processor, causes the processor to execute the steps of the tire dynamic balance detection method.
Another object of the present invention is to provide an information data processing terminal for implementing the tire dynamic balance detecting device.
Firstly, aiming at the problems that the existing tyre dynamic balance monitoring method is only suitable for single tyre detection and has low efficiency and high cost when detecting a large number of tyres, the invention provides a tyre dynamic balance detection method, whether the tyres reach a dynamic balance state or not is distinguished by the characteristic that the maximum amplitude of the tyres which are in dynamic balance and the maximum amplitude of the tyres which are not in dynamic balance are different under the same exciting force frequency, and the reason of the occurrence of the problem can be judged by analyzing the mode, which is helpful for improving the dynamic unbalance phenomenon in the later period and can find out the specific position and the mass of the mass distribution unevenness. The invention also solves the problems of the existing tire dynamic balance detection method by adding the counterweight and reducing the local mass, thereby ensuring that the tire is normally used.
The prior art scheme is that the simple harmonic vibration obtained by the rotation of the tire is small in amplitude representativeness in a mode of obtaining the simple harmonic vibration in the centrifugal force and displacement generated by the rotation of the tire, the judgment is not easy, and in addition, higher precision is required during the installation, and the method can only meet the detection requirement of a single tire; the invention belongs to the field of applying excitation outside a tire, wherein the frequency of excitation is consistent with the natural frequency of the tire, and amplitude values obtained by resonance are large in difference and good in judgment. The product has simple overall structure and low installation precision, and can simultaneously meet the dynamic balance detection of a plurality of tires.
According to the invention, one or more clamps are arranged on the vibration table, the tire is fixed on the clamps, the displacement sensors are arranged on the periphery of the tire, and the tire is forced to vibrate by exciting forces with different frequencies generated by the vibration table; the displacement sensor records the displacement generated when the tire vibrates, takes the position of the tire at rest as an origin, deviates from the origin as a positive direction when vibrating, takes one side as a negative direction, replaces the other side with a sign (note: the sign at the moment only represents the direction), brings recorded displacement data into a program to participate in calculation, so that the vibration response of the tire under different vibration frequencies is obtained, the data is the data of a standard dynamic balance tire, and then judges whether the tire achieves dynamic balance or not through the vibration response of different tires under the same multiple groups of different frequencies. The tire dynamic balance detection method can be used for installing a plurality of clamps on one vibrating table and detecting whether a plurality of tires reach a dynamic balance state or not, so that people can be liberated from heavy physical labor, partial mental labor and severe dangerous working environments, the production efficiency is greatly improved, and the consistency is improved due to the fact that a test flow belongs to program control, and the tire dynamic balance detection method is suitable for mass production.
Secondly, the invention provides a brand new method for detecting whether the tire can achieve dynamic balance or not by taking the vibration theory as a principle. The existing equipment in the tire industry detects the dynamic balance of the tire through the rotation of the tire, and the invention can install 6 clamps on the vibrating table, can detect whether the 6 tires can reach dynamic balance at the same time, the detection accuracy is 83.4%, and the detection accuracy can be 100% under the condition that the defect of dynamic balance is obvious.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments of the present invention will be briefly described below, and it is obvious that the drawings described below are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for detecting dynamic balance of a tire according to an embodiment of the present invention;
FIG. 2 is a block diagram of a tire dynamic balance detection apparatus according to an embodiment of the present invention;
FIG. 3 is a schematic view of a tire model provided by an embodiment of the present invention;
FIG. 4 is a waveform diagram of a simple harmonic loading provided by an embodiment of the present invention;
FIG. 5 is a schematic diagram of a three-tire simultaneous detection test provided by an embodiment of the present invention;
in the figure: 1. a sensor; 2. a tire; 3. a clamp; 4. a vibration table; 5. a tire; 6. a rotating shaft; 7. a dynamic balancing machine power section; 8. a dynamic balancing machine spindle; 9. and (3) a tire.
Detailed Description
The present invention will be described in further detail with reference to the following examples in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
Aiming at the problems existing in the prior art, the invention provides a method, a device, a medium, equipment and a terminal for detecting dynamic balance of a tire, and the invention is described in detail below with reference to the accompanying drawings.
As shown in fig. 1, the method for detecting dynamic balance of a tire according to the embodiment of the present invention includes the following steps:
s101, fixing a tire clamp on a detection device;
s102, external excitation of exciting force or exciting displacement is applied to the tire through a system control vibrating table;
s103, detecting the amplitude of the tire position through a sensor and recording the data in a system, wherein the system determines the dynamic balance state of the tire through analyzing the obtained tire position amplitude data.
The dynamic balance provided by the embodiment of the invention is specifically as follows: when the rigid body rotating shaft passes through the mass center and is an inertial main shaft, no additional dynamic constraint force of the bearing occurs when the rigid body rotates.
The vibration response of the tire provided by the embodiment of the invention is realized through modal analysis, specifically, when the vibration amplitude of a certain position of the tire reaches the maximum value through applying simple harmonic excitation force on the tire, the value of the frequency of the applied excitation force is observed, and whether the tire reaches a dynamic balance state is judged through the value of the frequency.
The vibration response analysis of the tire provided by the embodiment of the invention further comprises the following steps:
dividing the acoustic grid outline of the tire by using Hypermesh software, analyzing the acoustic transfer vector, and obtaining the tire modal finite element analysis result by using ABAQUS;
leading in a finite element analysis result of a tire mode and analyzing a tire mode participation factor through a tire structural grid by using external excitation force in a frequency domain between the tire and a road surface;
the tire modal participation factors are imported into acoustic transfer vectors, and vibration response of the tire is analyzed through data mapping transfer technology and modal acoustic transfer vector technology.
The analysis method for data mapping transfer provided by the embodiment of the invention comprises the following steps:
with the nodes of the acoustic mesh of the tire as the center of a circle,dfor the radius within the circle, determining the mostiThe nodes on the tire structural grid are used as the original data of the nodes on the tire acoustic grid; if the number of nodes on the tire structural grid obtained in the circle is more than or equal toiIf so, selecting the one closest to the center of the circleiThe individual nodes are used as the original data of the nodes on the acoustic grid of the tire; if the number of nodes on the tire structural grid obtained in the circle is less thaniIf the node on the tire structural grid found in the circle is selected as the original data of the node on the tire acoustic grid, the tire modal finite element analysis result of a certain node on the tire acoustic grid is as follows:
；
wherein, the liquid crystal display device comprises a liquid crystal display device,P target analyzing information for modal finite elements of nodes on the acoustic grid of the tire;d 1 、d 2 、...d i to obtain the first on the structural grid of the tyreiThe distance from the individual nodes to the center of the circle,dtaking the diameter of the steel sheet to be 20-40 mm,itaking 2-4;P 1 、P 2 、...P i to obtain the first on the structural grid of the tyreiTire modality finite element analysis information for individual nodes.
The simple harmonic load (displacement) provided by the embodiment of the invention is a process that exciting force (displacement) changes along time according to a sine or cosine rule, and is specifically as follows:
wherein H is the amplitude of the exciting force,the circle frequency of the exciting force is represented by t, and the time is represented by t.
The differential equation of the object motion is specifically as follows:
wherein m is the mass of the object, C is the viscous damping coefficient, K is the stiffness coefficient, and X is the displacement of the object from the original balance position.
By sorting both sides, dividing by m at the same time, and letting:
，/>，/>
wherein h represents the magnitude of the exciting force received by the unit mass,is the natural circular frequency.
The above can be written as:
this is also the differential equation of freedom forced vibration, whose solution consists of two parts:
；
wherein, the liquid crystal display device comprises a liquid crystal display device,is a general solution of homogeneous differential equation, +.>A special solution to the non-homogeneous differential equation, then:
；
。
the forced vibration provided by the embodiment of the invention is composed of two parts, the first partFor the damping motion of the initial disturbance, the vibration damping part disappears after a certain time due to the existence of damping; second part->The simple harmonic motion with equal amplitude is forced vibration.
Forced vibration is caused by disturbance force, so long as the disturbance force exists, the disturbance force proceeds at the frequency of the disturbance force, the disturbance force is not attenuated, the forced vibration is a basic characteristic, the phenomenon that the amplitude is uniformly expanded when the frequency of the disturbance force is different is called resonance, and the frequency of the disturbance force is called resonance frequency.
Wherein, transient solution becomes:。
as shown in fig. 2, the detection device for detecting dynamic balance of a tire provided by the embodiment of the invention comprises a sensor 1, a tire 2, a clamp 3 and a vibrating table 4.
A sensor 1 for detecting the amplitude of a certain position of the tyre;
a clamp 3 for fixing the tyre on the detection device;
the vibration table 4 is used for applying external excitation such as excitation force (simple harmonic load) or excitation displacement (simple harmonic displacement) to the tire 2 by system control.
The tire model provided by the embodiment of the invention is shown in fig. 3, and the simple harmonic load waveform is shown in fig. 4.
In order to prove the inventive and technical value of the technical solution of the present invention, this section is an application example on specific products or related technologies of the claim technical solution.
An application embodiment of the present invention provides a computer device including a memory and a processor, the memory storing a computer program that, when executed by the processor, causes the processor to execute steps of a tire dynamic balance detection method.
An application embodiment of the present invention provides a computer-readable storage medium storing a computer program which, when executed by a processor, causes the processor to execute steps of a tire dynamic balance detection method.
The embodiment of the invention provides an information data processing terminal which is used for realizing a tire dynamic balance detection device.
The existing equipment in the tire industry detects the dynamic balance of the tire through the rotation of the tire, and the invention can install 6 clamps on the vibrating table, can detect whether the 6 tires can reach dynamic balance at the same time, the detection accuracy is 83.4%, and the detection accuracy can be 100% under the condition that the defect of dynamic balance is obvious.
The displacements at 8 different vibration frequencies of 5Hz, 10Hz, 15Hz, 20Hz, 25Hz, 30Hz, 35Hz and 40Hz were 10mm, 13mm, 15mm, 12mm, 75mm, 15mm, 11mm and 12mm with an exciting force of 5N applied to the vibrating table. The displacement of 45mm is maximum for these 8 groups, with a frequency of 25Hz, which is the frequency of the dynamic balance tire standard. The displacement generated at 25Hz should be 45mm because of the same specification of tire, if not, the tire is not in dynamic balance.
The responses of the three tires under the simple harmonic excitation forces of different frequencies of 5N are shown in table 1 (the data in the table are all rounded to an integer), wherein # 1 is the data of the known dynamic balance tire, and # 2 and # 3 are the tires tested at this time. From the data, it can be concluded that the amplitude of the standard dynamic balance tire reaches a maximum value of 75mm at 40 Hz; whereas the tire # 2 had reached 66mm at 40HZ, the two data were very similar. However, the maximum displacement value in this frequency band is 130mm, so # 2 is not a dynamic balance tire. The 3# tire has reached 80mm at 40HZ and this frequency is the maximum displacement value in this frequency band, so it is a dynamic balance tire.
From the above experiments it can be concluded that two conditions need to be met if it is desired to verify whether the tire is in dynamic balance: 1) The maximum displacement within the frequency, 2) the frequency error of the maximum displacement can exceed + -25%.
As a preferred embodiment provided by the present invention, other possible embodiment 1 of the present invention: as shown in fig. 4, the length of the rotation shaft is increased in the initial dynamic balancing machine, so that a plurality of tires can be simultaneously detected.
Other possible embodiments 2 of the present invention: in the same manner as in the present invention, the tire is rotated, and in this manner, the tire is rotated to generate simple harmonic vibration.
It should be noted that the embodiments of the present invention can be realized in hardware, software, or a combination of software and hardware. The hardware portion may be implemented using dedicated logic; the software portions may be stored in a memory and executed by a suitable instruction execution system, such as a microprocessor or special purpose design hardware. Those of ordinary skill in the art will appreciate that the apparatus and methods described above may be implemented using computer executable instructions and/or embodied in processor control code, such as provided on a carrier medium such as a magnetic disk, CD or DVD-ROM, a programmable memory such as read only memory (firmware), or a data carrier such as an optical or electronic signal carrier. The device of the present invention and its modules may be implemented by hardware circuitry, such as very large scale integrated circuits or gate arrays, semiconductors such as logic chips, transistors, etc., or programmable hardware devices such as field programmable gate arrays, programmable logic devices, etc., as well as software executed by various types of processors, or by a combination of the above hardware circuitry and software, such as firmware.
The foregoing is merely illustrative of specific embodiments of the present invention, and the scope of the invention is not limited thereto, but any modifications, equivalents, improvements and alternatives falling within the spirit and principles of the present invention will be apparent to those skilled in the art within the scope of the present invention.
Claims (9)
1. A method for detecting dynamic balance of a tire, comprising: the tire clamp is fixed on detection equipment, and the system is used for controlling the vibration table to apply external excitation of exciting force or exciting displacement to the tire; detecting the amplitude of a certain position of the tire through a sensor and recording the data in a system, wherein the system determines the dynamic balance condition of the tire through analyzing the obtained amplitude data of the certain position of the tire;
the tire dynamic balance includes: when the rigid body rotating shaft passes through the mass center and is an inertial main shaft, no additional dynamic constraint force of the bearing occurs when the rigid body rotates;
the vibration response of the tire is realized by modal analysis, simple harmonic excitation force is applied to the tire, the value of the frequency of the excitation force is applied when the amplitude of a certain position of the tire reaches the maximum value is detected, and whether the tire reaches a dynamic balance state is judged by the value of the frequency.
2. The method for detecting dynamic balance of a tire as in claim 1, wherein the vibration response analysis of the tire further comprises:
dividing the acoustic grid outline of the tire by using Hypermesh software, analyzing the acoustic transfer vector, and obtaining the tire modal finite element analysis result by using ABAQUS;
leading in a finite element analysis result of a tire mode and analyzing a tire mode participation factor through a tire structural grid by using external excitation force in a frequency domain between the tire and a road surface;
the tire modal participation factors are imported into acoustic transfer vectors, and vibration response of the tire is analyzed through data mapping transfer technology and modal acoustic transfer vector technology.
3. The method for detecting dynamic balance of a tire according to claim 2, wherein the method for analyzing the data map transfer comprises:
the method comprises the steps that nodes on the tire acoustic grids are determined in a circle with the nodes of the tire acoustic grids as circle centers and d as radius, and the nodes on the tire structural grids are used as original data of the nodes on the tire acoustic grids; if the number of nodes on the tire structural grid obtained in the circle is more than or equal to i, selecting i nodes closest to the circle center as the original data of the nodes on the tire acoustic grid; if the number of nodes on the tire structural grid obtained in the circle is less than i, selecting the nodes on the tire structural grid found in the circle as the original data of the nodes on the tire acoustic grid, and analyzing the tire modal finite element of a certain node on the tire acoustic grid as follows:
wherein Ptarget is modal finite element analysis information of nodes on the acoustic grid of the tire; d1, d2, & di is the distance from the ith node on the obtained tire structural grid to the center of the circle, d is 20-40 mm, i is 2-4; p1, P2,..pi is tire modal finite element analysis information for the i-th node on the resulting tire structural grid.
4. The method for detecting dynamic balance of tire according to claim 1, wherein the exciting force is a simple harmonic load, the exciting displacement is a simple harmonic displacement, and the simple harmonic load is a process that the exciting force changes with time according to sine or cosine law, then:
F s ＝H sinωt；
wherein H is the amplitude of the exciting force, omega is the circular frequency of the exciting force, and t is the time;
the differential equation of the object motion is:
wherein m is the mass of the object, C is the viscous damping coefficient, K is the stiffness coefficient, and X is the displacement of the object from the original balance position;
by arranging two sides of the object motion differential equation, dividing by m at the same time, and letting:
wherein h represents the magnitude of exciting force applied to unit mass, p n Natural circular frequency;
the degree of freedom forced vibration differential equation is:
the solution of the degree of freedom forced vibration differential equation consists of two parts, then:
X(t)＝x 1 (t)+x 2 (t)；
wherein x is 1 (t) is a general solution of the homogeneous differential equation, x 2 (t) a special solution to the non-homogeneous differential equation, then:
x 1 (t)＝Ae -nt sin(p d t+α)；
5. a method of detecting dynamic balance of a tire as in claim 1, wherein the forced vibration is comprised of two parts, a first part x 1 For the damping motion of the initial disturbance, the damping vibration part disappears after a certain time due to the existence of damping;
second part x 2 The simple harmonic motion with equal amplitude is forced vibration;
forced vibration is caused by disturbance force, and as long as the disturbance force exists, the forced vibration is carried out at the frequency of the disturbance force and is not attenuated, so that the forced vibration is a basic characteristic of forced vibration; a phenomenon in which the amplitude is uniformly enlarged when the frequencies of disturbance forces are different is called resonance, and the frequency of disturbance forces is called resonance frequency; wherein, transient solution becomes:
wherein omega is n Is natural angular frequency F s The exciting force, m is the mass of the object, and t is the time.
6. A tire dynamic balance detecting device applying the tire dynamic balance detecting method according to any one of claims 1 to 5, characterized in that the tire dynamic balance detecting device comprises a sensor, a tire, a jig, and a vibrating table;
wherein the sensor is used for detecting the amplitude of a certain position of the tire;
the clamp is used for fixing the tire on the detection equipment;
the vibration table is used for applying external excitation of exciting force or exciting displacement to the tire through system control.
7. The tire dynamic balance detection method according to claim 1, wherein the tire dynamic balance detection method further comprises:
the position and the size of the uneven dynamic unbalance mass are judged by detecting the amplitude data of the tire tread and judging the vibration mode of the tread, and the size of the uneven mass can be obtained according to the size of the vibration mode displacement value.
8. The tire dynamic balance detection method according to claim 1, wherein the tire dynamic balance detection method further comprises:
the length of the rotating shaft is increased in the initial dynamic balancing machine, and the dynamic balance of a plurality of tires is detected.
9. The tire dynamic balance detection method according to claim 1, wherein the tire dynamic balance detection method further comprises:
the tire is rotated, and the tire is rotated to generate simple harmonic vibration, so that the dynamic balance of the tire is detected.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310712714.4A CN116448319B (en) | 2023-06-16 | 2023-06-16 | Tire dynamic balance detection method, device, medium, equipment and terminal |
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