Method and system for calculating energy transfer and dissipation for vibration polishing and grinding

By using discrete element method simulation and energy transfer and dissipation calculation methods, the problem of quantifying energy characteristics in the vibratory polishing process was solved, and accurate calculation of energy transfer and dissipation in particulate media was achieved, optimizing process parameters and providing a basis for efficient workpiece surface processing.

CN121598542AActive Publication Date: 2026-03-03TIANJIN UNIV OF SCI & TECH
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Patent Information

Application Number
CN202610128949.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-01-30
Publication Date
2026-03-03
Estimated Expiration
2046-01-30

AI Technical Summary

Technical Problem

Existing technologies lack in-depth exploration of the energy transfer and dissipation mechanisms within vibratory milling particle flows, making it difficult to directly observe and analyze through experiments, and thus unable to achieve accurate, systematic, and quantitative characterization of energy properties.

Method used

The discrete element method is used for simulation to obtain microscopic contact mechanics and kinematic data between particles, between particles and vibrating bodies, and between particles and workpieces. Contact events are identified through spatiotemporal division, energy transfer and dissipation are calculated, and a set of energy indicators is output for quantitative characterization.

Benefits of technology

It enables precise calculation of energy transfer and dissipation of particulate media during vibratory polishing, provides a basis for optimizing process parameters, and improves the amount of material removed from the workpiece and the surface integrity.

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Abstract

The invention belongs to the technical field of barreling finishing machining, and provides an energy transfer and dissipation calculation method and system for vibration polishing, and the calculation method comprises the steps: obtaining microscopic contact mechanics and kinematics data between particles, between particles and a vibration body, and between particles and a workpiece through analog simulation; identifying the contact event set within a preset time, dividing into a plurality of space sub-regions, and performing grouping processing on the data; for any contact event, calculating transmission energy and dissipation energy in the vibration polishing and grinding system within a preset time based on an energy transmission model; and outputting an energy index set, and completing quantitative characterization of the vibration polishing and grinding energy characteristics. According to the energy transfer and dissipation calculation method and system for vibration polishing and grinding, quantitative characterization of particle medium energy transfer and dissipation in the vibration polishing and grinding process can be achieved, and a basis is provided for vibration polishing and grinding parameter optimization, energy consumption evaluation and flow field regulation and control.
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Description

Technical Field

[0001] This invention belongs to the field of tumbling finishing technology, specifically relating to a calculation method and system for energy transfer and dissipation in vibratory polishing. Background Technology

[0002] Energy transfer in vibratory polishing mainly involves two processes: First, the vibrating body interacts with particles within its amplitude range, inputting external energy into the particulate medium. This energy is then transferred within the particles and further acts on the workpiece surface. The particulate medium induces micro-wear on the workpiece surface through a combination of collisions, compression, and friction. Therefore, material removal from the workpiece surface in vibratory polishing is the result of external energy being transferred to the particulate medium and converted into mechanical forces on the workpiece. After energy is transferred from the vibrating body to the particulate medium, inelastic collisions and friction within the microscopic dense particle flow and between particles and the vibrating body lead to energy dissipation. This energy loss is mainly manifested in macroscopic phenomena such as particle breakage, vessel wall wear, and temperature rise in the particulate medium flow. Quantitative characterization of energy transfer and dissipation within the particulate medium group is crucial for accurately determining the amount of material removed from the workpiece and achieving high surface integrity.

[0003] However, existing research on vibratory polishing particle flow mainly focuses on describing the macroscopic particle flow field, mesoscopic force chain network, and microscopic contact behavior, lacking in-depth exploration of the microscopic energy transfer and dissipation mechanisms inside the particle flow, and these characteristics are difficult to directly observe and analyze through experiments.

[0004] Therefore, there is an urgent need to develop a method and tool that can accurately calculate and quantitatively characterize the energy characteristics of the entire vibration polishing process based on simulation data, in order to fill the technological gap in this field. Summary of the Invention

[0005] This invention aims to solve the problem that existing technologies cannot accurately, systematically, and quantitatively analyze the microscopic energy behavior of the vibration polishing process. It provides a calculation method for energy transfer and dissipation in vibration polishing, which can accurately characterize the energy transfer and dissipation of particulate media during vibration polishing. This provides a calculation basis and parameter support for the flow field control strategy in vibration polishing, and is of great significance for accurately removing workpiece material and achieving high surface integrity of workpieces.

[0006] This invention is achieved using the following technical solution:

[0007] The first aspect of this invention is to provide a method for calculating energy transfer and dissipation in vibratory polishing, comprising the following steps:

[0008] S1: Data acquisition step, using discrete element method simulation to acquire microscopic contact mechanics and kinematics data between particles, between particles and vibrating bodies, and between particles and workpieces during the process;

[0009] S2: Spatiotemporal partitioning step, identifying the set of contact events within the overall time domain or a preset time period 𝑇. The vibration polishing container, vibrating body, and workpiece surface are divided into several spatial sub-regions, and the data are grouped and processed according to the spatial sub-regions.

[0010] S3: Energy input calculation step, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ;

[0011] S4: Energy dissipation calculation steps, for any contact event Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ;

[0012] S5: Output Step - Output Energy Index Set The energy characteristics of vibration polishing were quantitatively characterized.

[0013] Preferably, in step S1, the data includes: normal contact force. Tangential contact force Normal overlap Tangential overlap Relative collision normal velocity Relative collision tangential velocity Number of particles in contact angular velocity of particulate media and single-particle media quality .

[0014] Preferably, in step S3, energy is transferred. The following relationship must be satisfied:

[0015]

[0016] in, For the three-dimensional coordinates of the particulate medium, For simulation time, For time intervals, This refers to the volume occupied by the particulate medium within a spatial subregion. For total momentum, The mass density coefficient, The instantaneous velocity of the particle at a certain moment.

[0017] Preferably, total momentum Including the momentum transferred from the vibrating body to the particle system and the momentum transferred between particles ,

[0018] in, and The following formulas are given respectively:

[0019]

[0020]

[0021] in, For contact coefficient, The vibration frequency, This represents the change in momentum gained by a single particle under vibration. The contact area between the vibrating structure and the particulate medium. This represents the number of particles in contact per unit time. The collision recovery coefficient between particles. The instantaneous velocity of the particle at a certain moment.

[0022] Preferably, in step S4, energy is dissipated. The following relationship must be satisfied:

[0023]

[0024] in, The total energy dissipation of particulate media. This refers to energy dissipation from inelastic collisions. For the dissipation of sliding friction energy, For the dissipation of rolling friction energy, among which, , , Satisfy the following formula:

[0025]

[0026]

[0027]

[0028] in, For normal damping force, For relative normal velocity, For tangential damping force, Relative tangential velocity, For sliding friction, For rolling friction torque, Angular velocity, As an indicator of energy dissipation in inelastic collisions, As an indicator of energy dissipation due to sliding friction, As an indicator of rolling friction energy dissipation, For the statistical time interval of energy dissipation, This is to count the total number of valid contacts that occurred within the specified time interval;

[0029]

[0030]

[0031]

[0032]

[0033] in, The first contact action occurred respectively The particle and the first One contact object, Particles Contact object Normal contact force between them Particles Contact object The relative tangential velocity between them Let be the relative angular velocity of the particle. The average contact force. The average speed The mean angular velocity, For correction factor, To simulate the Young's modulus of particles, This represents the actual Young's modulus of the particles.

[0034] Preferably, inelastic collision energy dissipation Energy dissipation due to sliding friction Energy dissipation from rolling friction Further breakdown into:

[0035]

[0036]

[0037]

[0038] in, This refers to the energy dissipation from inelastic collisions between particles. This refers to the energy dissipation from the inelastic collision between the particle and the vibrating body. This refers to the energy dissipation from the inelastic collision between particles and the workpiece. This is due to the dissipation of energy through sliding friction between particles. This is the dissipation of sliding friction energy between the particles and the vibrating body. This refers to the dissipation of sliding friction energy between particles and the workpiece. The energy is dissipated due to rolling friction between particles. The energy dissipated by the rolling friction between the particles and the vibrating body. This refers to the energy dissipation due to rolling friction between particles and the workpiece.

[0039] Preferably, the set of energy indicators This includes energy transfer, energy dissipation, energy power curves, and energy dissipation radar charts.

[0040] A second aspect of the present invention is to provide a computing system for implementing the above-described method, comprising:

[0041] The data acquisition module uses discrete element method simulation to acquire microscopic contact mechanics and kinematics data between particles, between particles and vibrating bodies, and between particles and workpieces during the process.

[0042] The spatiotemporal segmentation module identifies a set of contact events within the overall time domain or a preset time period. The vibration polishing container, vibrating body, and workpiece surface are divided into several spatial sub-regions, and the data are grouped and processed according to the spatial sub-regions.

[0043] Energy input calculation module, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ;

[0044] The energy dissipation calculation module calculates the energy consumption for any contact event. Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ;

[0045] The results output module outputs a set of energy indicators. The energy characteristics of vibration polishing were quantitatively characterized.

[0046] A third aspect of the present invention is to provide an electronic device comprising: one or more processors, a memory, and one or more computer programs, wherein the one or more computer programs are stored in the memory and configured to be executed by the one or more processors, wherein when the one or more computer programs are executed by the one or more processors, the electronic device implements a calculation method for energy transfer and dissipation for vibratory polishing.

[0047] A fourth aspect of the present invention is to provide a computer-readable storage medium storing computer instructions that, when executed on an electronic device, cause the electronic device to perform a calculation method for energy transfer and dissipation in vibratory polishing.

[0048] Compared with the prior art, the beneficial effects of the present invention are:

[0049] 1. This invention is used to model and calculate the energy transfer and energy dissipation of granular media during vibratory polishing, and can quantitatively characterize the energy transfer, energy dissipation and their distribution characteristics of the granular system in time windows and spatial sub-regions.

[0050] 2. This invention also provides several calculable energy indices and standardized calculation procedures, which can be used to quantitatively compare different process parameters and serve as criteria for process parameter optimization and experimental design, providing a basis for subsequent energy consumption assessment and flow field control, thereby achieving efficient processing of workpiece surfaces and creating higher surface integrity. Attached Figure Description

[0051] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0052] Figure 1 This is a flowchart of the present invention;

[0053] Figure 2 This is a specific classification of particulate media energy dissipation in this invention;

[0054] Figure 3 This is a schematic diagram of the one-dimensional horizontal vibration polishing process corresponding to Embodiment 1 of the present invention;

[0055] Figure 4 This is a one-dimensional horizontal vibration particle velocity curve corresponding to Embodiment 1 of the present invention;

[0056] Figure 5 This is a one-dimensional horizontal vibration input power curve corresponding to Embodiment 1 of the present invention;

[0057] Figure 6 This is a one-dimensional horizontal vibration input energy curve corresponding to Embodiment 1 of the present invention;

[0058] Figure 7 This is a radar diagram of energy dissipation in horizontal vibration polishing corresponding to Embodiment 1 of the present invention;

[0059] Figure 8This is a schematic diagram of the local active vibration polishing process corresponding to Embodiment 2 of the present invention;

[0060] Figure 9 This is a localized active vibration particle velocity curve corresponding to Embodiment 2 of the present invention;

[0061] Figure 10 This is a local active excitation input power curve corresponding to Embodiment 2 of the present invention;

[0062] Figure 11 This is the local active excitation input energy curve corresponding to Embodiment 2 of the present invention;

[0063] Figure 12 This is a radar diagram of the energy dissipation of local active vibration polishing corresponding to Embodiment 2 of the present invention;

[0064] Figure 13 This is a block diagram of the computing system provided in Embodiment 3 of the present invention.

[0065] In the diagram: 1-Container; 2-Particulate medium; 3-Workpiece; 4-Vibration platform; 5-Excitation element; 6-Base. Detailed Implementation

[0066] The technical solutions of the embodiments of the present invention will be clearly and completely described with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other implementation methods obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0067] It should be noted that the structures, proportions, sizes, etc., shown in the accompanying drawings of this specification are only for the purpose of assisting those skilled in the art in understanding and reading the content disclosed in the specification, and are not intended to limit the conditions under which the present invention can be implemented. Therefore, they have no substantial technical significance. Any modifications to the structure, changes in the proportional relationships, or adjustments to the size, without affecting the effects and objectives that the present invention can produce, should fall within the scope of the technical content disclosed in the present invention. It should be noted that in this specification, relational terms such as "first" and "second" are only used to distinguish one entity from several other entities, and do not necessarily require or imply any actual relationship or order between these entities.

[0068] Example 1:

[0069] like Figures 1 to 7 As shown, a calculation method for energy transfer and dissipation in vibration polishing is presented. In this embodiment, it is applied to one-dimensional horizontal vibration polishing and includes the following steps:

[0070] S1: Data acquisition step. Microscopic contact mechanics and kinematics data between particles, between particles and the vibrating body, and between particles and the workpiece are obtained through discrete element method simulation. In this embodiment, an EDEM model is used, based on the Hertz-Mindlin (No slip) contact model, to establish a one-dimensional horizontal vibration polishing EDEM simulation model. Figure 3 This is a schematic diagram of the one-dimensional horizontal vibration polishing process. Table 1 shows the corresponding geometric parameters.

[0071] Table 1. Geometric parameters of the 3D simulation model

[0072]

[0073] Table 2 Intrinsic physical property parameters of materials

[0074]

[0075] S101: Input the intrinsic physical properties of the material, contact physical properties, particulate media parameters, motion parameters, and time parameters in the EDEM preprocessing module; the intrinsic physical properties of the material include the density of the particulate media, container, and workpiece. Poisson's ratio shear modulus As shown in Table 2; the contact physical performance parameters include the collision recovery coefficients between particulate media and particulate media, containers, and workpieces, respectively. static friction coefficient coefficient of kinetic friction As shown in Table 3; the particulate media parameters include particle diameter. and quantity Motion parameters include excitation frequency. and excitation amplitude In this embodiment, the amplitude is taken. =3.5mm, frequency =25Hz; Time parameters include simulation time. Sampling time interval In this embodiment, the simulation time is taken. =1.2s, sampling time interval =0.001s.

[0076] Table 3 Contact physical performance parameters

[0077]

[0078] S2: Spatiotemporal partitioning step, identifying the set of contact events within the overall time domain or a preset time period 𝑇. The vibration polishing container, vibrator, and workpiece surface are divided into several spatial sub-regions, and the data is grouped and processed according to the region. In this embodiment, the spatial sub-regions are divided and imported by the virtual data blocks of EDEM. The virtual data blocks include data blocks inside the container, data blocks on the container wall, and data blocks on the workpiece, to track the motion behavior and energy interaction process of the particulate medium.

[0079] S201: After the simulation, extract the normal contact forces between the particulate media and between the particulate media and the container and workpiece in the EDEM post-processing module. Tangential contact force Normal overlap Tangential overlap Relative collision normal velocity Relative collision tangential velocity Number of particles in contact angular velocity of particulate media .

[0080] S3: Energy input calculation step, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ;

[0081] Transfer of energy The following relationship must be satisfied:

[0082]

[0083] in, For the three-dimensional coordinates of the particulate medium, For simulation time, For time intervals, This refers to the volume occupied by the particulate medium within a spatial subregion. For total momentum, The mass density coefficient, The instantaneous velocity of the particle at a certain moment.

[0084] Total momentum Including the momentum transferred from the vibrating body to the particle system and the momentum transferred between particles ,

[0085] in, and The following formulas are given respectively:

[0086]

[0087]

[0088] in, For contact coefficient, The vibration frequency, This represents the change in momentum gained by a single particle under vibration. The contact area between the vibrating structure and the particulate medium. This represents the number of particles in contact per unit time. The collision recovery coefficient between particles. The instantaneous velocity of the particle at a certain moment.

[0089] S4: Energy dissipation calculation steps, for any contact event Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ;

[0090] Dissipation of energy The following relationship must be satisfied:

[0091]

[0092] in, The total energy dissipation of particulate media. This refers to energy dissipation from inelastic collisions. For the dissipation of sliding friction energy, For the dissipation of rolling friction energy, among which, , , Satisfy the following formula:

[0093]

[0094]

[0095]

[0096] in, For normal damping force, For relative normal velocity, For tangential damping force, Relative tangential velocity, For sliding friction, For rolling friction torque, Angular velocity, As an indicator of energy dissipation in inelastic collisions, As an indicator of energy dissipation due to sliding friction, As an indicator of rolling friction energy dissipation, For the statistical time interval of energy dissipation, This is to count the total number of valid contacts that occurred within the specified time interval;

[0097]

[0098]

[0099]

[0100]

[0101] in, The first contact action occurred respectively The particle and the first One contact object, Particles Contact object Normal contact force between them Particles Contact object The relative tangential velocity between them Let be the relative angular velocity of the particle. The average contact force. The average speed The mean angular velocity, For correction factor, To simulate the Young's modulus of particles, This represents the actual Young's modulus of the particles.

[0102] Inelastic collision energy dissipation Energy dissipation due to sliding friction Energy dissipation from rolling friction Further breakdown into:

[0103]

[0104]

[0105]

[0106] in, This refers to the energy dissipation from inelastic collisions between particles. This refers to the energy dissipation from the inelastic collision between the particle and the vibrating body. This refers to the energy dissipation from the inelastic collision between particles and the workpiece. This is due to the dissipation of energy through sliding friction between particles. This is the dissipation of sliding friction energy between the particles and the vibrating body. This refers to the dissipation of sliding friction energy between particles and the workpiece. The energy is dissipated due to rolling friction between particles. The energy dissipated by the rolling friction between the particles and the vibrating body. This refers to the energy dissipation due to rolling friction between particles and the workpiece.

[0107] S5: Output Step - Output Energy Index Set This completes the quantitative characterization of the energy properties of vibration polishing. In this embodiment, the set of energy indicators for horizontal vibration polishing is... Radar charts for particle velocity, input power, input energy, and energy dissipation are shown below. Figures 4 to 7 As shown.

[0108] Example 2:

[0109] like Figures 8 to 12 As shown, a calculation method for energy transfer and dissipation in vibration polishing is presented. In this embodiment, it is applied to localized active vibration polishing and includes the following steps:

[0110] S1: Data acquisition step. Microscopic contact mechanics and kinematics data between particles, between particles and the vibrating body, and between particles and the workpiece are obtained through discrete element method simulation. In this embodiment, an EDEM simulation model for localized active vibration polishing is established based on the Hertz-Mindlin (No slip) contact model. Figure 8 This is a schematic diagram of the local active vibration processing principle; Table 4 shows the corresponding geometric parameters.

[0111] S101: Input the intrinsic physical properties of the material, contact physical properties, particulate media parameters, motion parameters, and time parameters in the EDEM preprocessing module; the intrinsic physical properties of the material include the density of the particulate media, the excitation element, and the workpiece. Poisson's ratio shear modulus As shown in Table 5; the contact physical performance parameters include the collision recovery coefficients of the particulate medium with the particulate medium, the excitation element, and the workpiece, respectively. static friction coefficient coefficient of kinetic friction As shown in Table 6; the particulate media parameters include particle diameter. and quantity Motion parameters include excitation frequency. and excitation amplitude In this embodiment, the excitation frequency is selected. =25Hz, excitation amplitude =3.5mm; Time parameters include simulation time Sampling time interval In this embodiment, the simulation time is taken. =1.2s, sampling time interval =0.001s.

[0112] Table 4. Geometric parameters of the 3D simulation model

[0113]

[0114] Table 5 Intrinsic physical property parameters of materials

[0115]

[0116] S2: Spatiotemporal partitioning step, identifying the set of contact events within the overall time domain or a preset time period 𝑇. The vibration polishing container, vibrator and workpiece surface are divided into several spatial sub-regions, and the data is grouped and processed according to the region. In this embodiment, the spatial sub-regions are divided and imported by the virtual data blocks of EDEM. The virtual data blocks include data blocks inside the container, data blocks of the excitation element and data blocks of the workpiece, to track the motion behavior and energy interaction process of the particulate medium.

[0117] Table 6 Contact Physical Performance Parameters

[0118]

[0119] S201: After the simulation, extract the normal overlap between the particulate medium and the particulate medium, the excitation element, and the workpiece in the EDEM post-processing module. Tangential overlap Relative collision normal velocity Relative collision tangential velocity Number of particles in contact angular velocity of particulate media ;

[0120] Extracting the normal contact forces between particulate media and between the particulate media and the container and workpiece. Tangential contact force Normal overlap Tangential overlap Relative collision normal velocity Relative collision tangential velocity Number of particles in contact angular velocity of particulate media .

[0121] The remaining steps S3-S5 are the same as in Example 1.

[0122] In this embodiment, the set of local active vibration polishing energy indicators Radar charts for particle velocity, input power, input energy, and energy dissipation are shown below. Figures 9 to 12 As shown.

[0123] Example 3: Computing System

[0124] A computational system for energy transfer and dissipation in vibratory polishing. Figure 13 The modular structure of a computing system provided in one embodiment of the present invention is illustrated. It includes:

[0125] The data acquisition module uses discrete element method simulation to acquire microscopic contact mechanics and kinematics data between particles, between particles and vibrating bodies, and between particles and workpieces during the process.

[0126] The spatiotemporal segmentation module identifies a set of contact events within the overall time domain or a preset time period. The vibration polishing container, vibrating body, and workpiece surface are divided into several spatial sub-regions, and the data are grouped and processed according to the spatial sub-regions.

[0127] Energy input calculation module, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ;

[0128] The energy dissipation calculation module calculates the energy consumption for any contact event. Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ;

[0129] The results output module outputs a set of energy indicators. The energy characteristics of vibration polishing were quantitatively characterized.

[0130] Another embodiment of the present invention provides an electronic device including: one or more processors, a memory, and one or more computer programs, wherein the one or more computer programs are stored in the memory and configured to be executed by the one or more processors, and when the one or more computer programs are executed by the one or more processors, the electronic device implements a calculation method for energy transfer and dissipation for vibratory polishing.

[0131] Another embodiment of the present invention also provides a computer-readable storage medium storing computer instructions that, when executed on an electronic device, cause the electronic device to perform a calculation method for energy transfer and dissipation in vibratory polishing.

[0132] The above description is merely a preferred embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for calculating energy transfer and dissipation in vibratory polishing, characterized in that, Includes the following steps: S1: Data acquisition step, using discrete element method simulation to acquire microscopic contact mechanics and kinematics data between particles, between particles and vibrating bodies, and between particles and workpieces during the process; S2: Spatiotemporal partitioning step, identifying the set of contact events within the overall time domain or a preset time period 𝑇. The vibratory polishing container, vibrator, and workpiece surface are divided into several spatial sub-regions, and the data is grouped and processed according to the spatial sub-regions. S3: Energy input calculation step, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ; S4: Energy dissipation calculation steps, for any contact event Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ; S5: Output Step - Output Energy Index Set The energy characteristics of vibration polishing were quantitatively characterized.

2. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 1, characterized in that: In step S1, the data includes: normal contact force. Tangential contact force Normal overlap Tangential overlap Relative collision normal velocity Relative collision tangential velocity Number of particles in contact angular velocity of particulate media and single-particle media quality .

3. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 1, characterized in that: In step S3, the energy transfer The following relationship must be satisfied: in, For the three-dimensional coordinates of the particulate medium, For simulation time, For time intervals, This refers to the volume occupied by the particulate medium within a spatial subregion. For total momentum, The mass density coefficient, The instantaneous velocity of the particle at a certain moment.

4. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 3, characterized in that: The total momentum Including the momentum transferred from the vibrating body to the particle system and the momentum transferred between particles , in, and The following formulas are given respectively: in, For contact coefficient, The vibration frequency, This represents the change in momentum gained by a single particle under vibration. The contact area between the vibrating structure and the particulate medium. This represents the number of particles in contact per unit time. The collision recovery coefficient between particles. The instantaneous velocity of the particle at a certain moment.

5. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 1, characterized in that: In step S4, the dissipated energy The following relationship must be satisfied: in, The total energy dissipation of particulate media. This refers to energy dissipation from inelastic collisions. For the dissipation of sliding friction energy, For the dissipation of rolling friction energy, among which, , , Satisfy the following formula: in, For normal damping force, For relative normal velocity, For tangential damping force, The relative tangential velocity, For sliding friction, For rolling friction torque, Angular velocity, As an indicator of energy dissipation in inelastic collisions, As an indicator of energy dissipation due to sliding friction, As an indicator of rolling friction energy dissipation, For the statistical time interval of energy dissipation, This is to count the total number of valid contacts that occurred within the specified time interval; in, The first contact action occurred respectively The particle and the first One contact object, Particles Contact object Normal contact force between them Particles Contact object The relative tangential velocity between them Let be the relative angular velocity of the particle. The average contact force. The average speed The mean angular velocity, For correction factor, To simulate the Young's modulus of particles, This represents the actual Young's modulus of the particles.

6. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 5, characterized in that: The inelastic collision energy dissipation Energy dissipation due to sliding friction Energy dissipation from rolling friction Further breakdown into: in, This refers to the energy dissipation from inelastic collisions between particles. This refers to the energy dissipation from the inelastic collision between the particle and the vibrating body. This refers to the energy dissipation from the inelastic collision between particles and the workpiece. This is due to the dissipation of energy through sliding friction between particles. This is the dissipation of sliding friction energy between the particles and the vibrating body. This refers to the dissipation of sliding friction energy between particles and the workpiece. The energy is dissipated due to rolling friction between particles. The energy dissipated by the rolling friction between the particles and the vibrating body. This refers to the energy dissipation due to rolling friction between particles and the workpiece.

7. The calculation method for energy transfer and dissipation in vibratory polishing according to claim 1, characterized in that: In step S4, the energy index set This includes energy transfer, energy dissipation, energy power curves, and energy dissipation radar charts.

8. A computing system according to any one of claims 1 to 7, characterized in that, include: The data acquisition module uses discrete element method simulation to acquire microscopic contact mechanics and kinematics data between particles, between particles and vibrating bodies, and between particles and workpieces during the process. The spatiotemporal segmentation module identifies a set of contact events within the overall time domain or a preset time period. The vibratory polishing container, vibrator, and workpiece surface are divided into several spatial sub-regions, and the data is grouped and processed according to the spatial sub-regions. Energy input calculation module, for any contact event Based on the energy transfer model, the calculation is performed in time. T Energy transfer in internal vibration polishing system ; The energy dissipation calculation module performs calculations on any contact event. Based on the energy dissipation model, the calculation is performed over time. T Energy dissipation in internal vibration polishing system ; The results output module outputs a set of energy indicators. The energy characteristics of vibration polishing were quantitatively characterized.

9. An electronic device, characterized in that, include: One or more processors, a memory, and one or more computer programs, wherein the one or more computer programs are stored in the memory and configured to be executed by the one or more processors, wherein when the one or more computer programs are executed by the one or more processors, the electronic device performs the computing method as described in any one of claims 1-7.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer instructions that, when executed on an electronic device, cause the electronic device to perform the calculation method as described in any one of claims 1-7.

Citation Information

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