CN109284575A - A kind of dual material box organic fertilizer fertilizer method for analyzing performance - Google Patents

A kind of dual material box organic fertilizer fertilizer method for analyzing performance Download PDF

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CN109284575A
CN109284575A CN201811261011.XA CN201811261011A CN109284575A CN 109284575 A CN109284575 A CN 109284575A CN 201811261011 A CN201811261011 A CN 201811261011A CN 109284575 A CN109284575 A CN 109284575A
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organic fertilizer
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付静
张富贵
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Guizhou University
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Abstract

The invention discloses a kind of dual material box organic fertilizer fertilizer method for analyzing performance, and the method steps are as follows: (1) being modeled, be then introduced into EDEM simulation software to peg model by three-dimensional software UG;(2) it establishes emulation contact model: selecting Herta-MinDlin contact model between organic fertilizer particles and mechanical structure, Herta-MinDlin with JKR cohesion contact model is selected between organic fertilizer particles and particle;(3) organic fertilizer fertilizer performance simulation is carried out using different water cut, obtains organic fertilizer moisture content, organic fertilizer volume density and the organic fertilizer angle of repose of optimum range.The present invention carries out the rational application of fertilizer parameter that simulation analysis obtains the fertilizing box to fertilizer performance of the dual material box fertilizer applicator when applying different water cut organic fertilizer, it is ensured that fertilising stability is high, and fluctuation is small, and fertilizer applicator is avoided fertilizer clogging occur.

Description

A kind of dual material box organic fertilizer fertilizer method for analyzing performance
Technical field
The present invention relates to a kind of dual material box organic fertilizer fertilizer method for analyzing performance, belong to dual material box organic fertilizer fertilizer performance skill Art field.
Background technique
Organic fertilizer easily deliquesces, adhesion agglomeration in storing process since water imbibition is stronger, moisture content is caused to increase, thus The fertilizer performance for influencing fertilizer applicator is tested by reality, and cost is too high, and the period is long.
Summary of the invention
The technical problem to be solved by the present invention is a kind of dual material box organic fertilizer fertilizer method for analyzing performance is provided, to solve Above-mentioned problems of the prior art.
The technical scheme adopted by the invention is as follows: a kind of dual material box organic fertilizer fertilizer method for analyzing performance, this method include with Lower step:
(1) peg model is modeled by three-dimensional software UG, is then introduced into EDEM simulation software;
(2) emulation contact model: setting simulation parameter, the exposure parameter between Material Physics property parameters, material is established And contact model, Herta-MinDlin (No slip) contact model, organic fertilizer are selected between organic fertilizer particles and mechanical structure Herta-MinDlin with JKR cohesion contact model is selected between particle and particle;
(3) organic fertilizer fertilizer performance simulation is carried out using different water cut, obtains the organic fertilizer moisture content of optimum range, has Machine fertilizer volume density and organic fertilizer angle of repose.
By EDEM post-processing module, sensor grid, main tracking note are added in mechanical model organic fertilizer filling region The variation for recording and analyzing organic fertilizer quality and quantity in hopper obtains defertilizing amount variation of the different organic fertilizers in simulation time 8s Trend.
By EDEM post-processing module, sensor grid, the sensor are added in emulation mechanical model organic fertilizer defertilizing opening It is spaced 0.1s analysis record defertilizing opening fertilizer quality, obtains the mass flowrate of different organic fertilizer defertilizing openings.
Herta-MinDlin (No slip) contact model:
If radius is respectively R1、R2, quality m1,、m2Two it is spherical occur Elastic Contacts, the elasticity modulus of two particles and Poisson's ratio is respectively E1、v1;E2、v2, therefore equivalent particle radius R*, equivalent mass m*With equivalent elastic modulus E*It is respectively as follows:
Normal direction lap is the calculation formula of α are as follows:
α=R1+R2-|r1-r2| (4)
In formula: r1, r2It is two particle sphere center position vectors.
Intergranular contact surface is circle, contact radius a are as follows:
Normal force F between particlenIt can be found out by formula (4-5).
To sum up, it can do in the proper way as follows to damping force formula (4-7):
Wherein
In formula: β is coefficient;SnFor normal stiffness;For the normal component value of relative velocity;E is recovery coefficient
Tangential forceFtIt is indicated by lower formula:
Ft=-Stδ (11)
Wherein
In formula, δ is tangential lap;StFor shear stiffness;G*For equivalent shear modulus;G1、G2For the shearing mould of two particles Amount.
To sum up, it obtains tangentially damping F between particletFormula are as follows:
Herta-MinDlin with JKR cohesion contact model: tangential elastic force, normal direction and the tangential consumption of model Dissipate power it is consistent with Herta-MinDlin contact model calculation method, but JKR model normal direction power mainly with lap δ, interact Coefficient is related with surface energy γ, and normal direction formula is as follows:
Beneficial effects of the present invention: compared with prior art, the present invention passes through to the physical of different water cut organic fertilizer Matter is carried out simulation analysis and is demarcated using EDEM DEM analysis software to organic fertilizer parameter, determines its mechanical characteristic, so The fertilizer performance to dual material box fertilizer applicator when applying different water cut organic fertilizer carries out simulation analysis and obtains the fertilizing box afterwards Rational application of fertilizer parameter, it is ensured that fertilising stability is high, and fluctuation is small, and fertilizer applicator is avoided fertilizer clogging occur.
Detailed description of the invention
Fig. 1 is simplified model schematic diagram of the invention;
Fig. 2 is simulation model of the invention;
Fig. 3 is the emulation schematic diagram of moisture content 2.43% of the present invention;
Fig. 4 is the emulation schematic diagram of moisture content 5.34% of the present invention;
Fig. 5 is the emulation schematic diagram of moisture content 9.45% of the present invention;
Fig. 6 is the emulation schematic diagram of moisture content 13.35% of the present invention;
Fig. 7 is the emulation schematic diagram of moisture content 16.61% of the present invention;
Fig. 8 is the emulation schematic diagram of moisture content 19.50% of the present invention;
Fig. 9 is the emulation schematic diagram of moisture content 23.70% of the present invention;
Figure 10 is different performance organic fertilizer defertilizing opening mass flowrate figure;
Figure 11 is different performance organic fertilizer defertilizing opening unit time defertilizing amount curve graph;
Figure 12 is different performance organic fertilizer test result and simulation comparison figure.
Specific embodiment
The present invention is described further below with reference to specific embodiment.
Embodiment 1: as shown in figs. 1-12, a kind of dual material box organic fertilizer fertilizer method for analyzing performance, this method includes following Step:
(1) peg model is modeled by three-dimensional software UG, is then introduced into EDEM simulation software;
(2) emulation contact model: setting simulation parameter, the exposure parameter between Material Physics property parameters, material is established And contact model, Herta-MinDlin (No slip) contact model, organic fertilizer are selected between organic fertilizer particles and mechanical structure Herta-MinDlin with JKR cohesion contact model is selected between particle and particle;
(3) organic fertilizer fertilizer performance simulation is carried out using different water cut, obtains the organic fertilizer moisture content of optimum range, has Machine fertilizer volume density and organic fertilizer angle of repose.
By EDEM post-processing module, sensor grid, main tracking note are added in mechanical model organic fertilizer filling region The variation for recording and analyzing organic fertilizer quality and quantity in hopper obtains defertilizing amount variation of the different organic fertilizers in simulation time 8s Trend.
By EDEM post-processing module, sensor grid, the sensor are added in emulation mechanical model organic fertilizer defertilizing opening It is spaced 0.1s analysis record defertilizing opening fertilizer quality, obtains the mass flowrate of different organic fertilizer defertilizing openings.
Herta-MinDlin (No slip) contact model:
If radius is respectively R1、R2, quality m1,、m2Two it is spherical occur Elastic Contacts, the elasticity modulus of two particles and Poisson's ratio is respectively E1、v1;E2、v2, therefore equivalent particle radius R*, equivalent mass m*With equivalent elastic modulus E*It is respectively as follows:
Normal direction lap is the calculation formula of α are as follows:
α=R1+R2-|r1-r2| (4)
In formula: r1, r2It is two particle sphere center position vectors.
Intergranular contact surface is circle, contact radius a are as follows:
Normal force F between particlenIt can be found out by formula (4-5).
To sum up, it can do in the proper way as follows to damping force formula (4-7):
Wherein
In formula: β is coefficient;SnFor normal stiffness;For the normal component value of relative velocity;E is recovery coefficient
Tangential forceFtIt is indicated by lower formula:
Ft=-Stδ (11)
Wherein
In formula, δ is tangential lap;StFor shear stiffness;G*For equivalent shear modulus;G1、G2For the shearing mould of two particles Amount.
To sum up, it obtains tangentially damping F between particletFormula are as follows:
Herta-MinDlin with JKR cohesion contact model: tangential elastic force, normal direction and the tangential consumption of model Dissipate power it is consistent with Herta-MinDlin contact model calculation method, but JKR model normal direction power mainly with lap δ, interact Coefficient is related with surface energy γ, and normal direction formula is as follows:
Simulation model: fertilizer box is made of organic fertilizer hopper and compound fertilizer's hopper;Fertilizer apparatus is by outer groove-wheel fertilizer apparatus and stirring knife- Belt-conveying type fertilizer apparatus is constituted;Stirring knife is equipped with inside organic fertilizer hopper.Transparent windows are arranged in each hopper, in order to observe Fertilizer applicator fertilizer volume condition in hopper at work.When fertilizer applicator starts fertilising, the stirring knife inside organic fertilizer hopper starts Fertilizer is stirred, makes to deliquesce agglomeration fertilizer crushing, and belt conveyor is assisted to start to convey organic fertilizer, being equipped in fertilizer opening can The adjustable plate of regulated fertilization open height, main control fertilising flow.Compound fertilizer uses outer groove-wheel fertilizer apparatus fertilizer, fertilizer filling In defertilizing slot, by adjusting fertilizer active length control fertilising flow;For shortening simulation time, simulation scenarios are intuitively analyzed, Structure is simplified to the matter emulation simplified model for establishing dual material box fertilizer applicator as shown in Figure 1 when emulation.
Organic fertilizer determination of physical appearance
Physical property of the same organic fertilizer in 7 kinds of different humidities is measured, test content mainly includes Fertilizer moisture content, volume density, angle of repose.The physical property of organic fertilizer has determined its mechanical characteristic, arranges for dual material box fertilizer applicator The fertilizer performance evaluation of fertile mechanism provides simulation parameter, and measurement result is as shown in table 1.
Organic fertilizer moisture content: organic fertilizer its mechanical characteristic under different water cut is different, and fertilizer characteristic is also just different. It is therefore desirable to organic fertilizer, moisture content is measured under different humidity state.
Organic fertilizer volume density: volume density and the frictional behavior of fertilizer, flow behavior are closely related.Organic fertilizer particles grain Diameter very little, at loose condition (of surface), water absorbing capacity is stronger, and the organic fertilizer density under different water cut is also different.For shorten the later period from Dissipate member simulation time, it would be desirable to regard multiple individual particle organic fertilizers as a particle and emulate, so needing to measure fertilizer The volume density of material.Volume density refers to the weight of unit volume (including the gap between fertilizer) fertilizer.It is obtained not by measurement Volume density with moisture content organic fertilizer increases with the increase of moisture content.
Organic fertilizer angle of repose: angle of repose is related with the frictional behavior inside fertilizer, and when designing hopper wall, internal wall surface inclines Angle should be greater than fertilizer angle of repose, while provide parameter for the calibration of organic fertilizer mechanics parameters, obtains difference by test and contains Water rate organic fertilizer increases as moisture content increases angle of repose.
1 organic fertilizer physical property of table
Simulation analysis
Organic fertilizer parameter calibration: organic fertilizer volume density, angle of repose under different water cut is different, the flowing between particle Property, frictional behavior etc. also can be different, i.e. the organic fertilizer physico mechanical characteristic of different water cut is different, to study different water cut Rate organic fertilizer fertilizer performance, it is thus necessary to determine that the surface the JKR energy of organic fertilizer collides recovery coefficient and quiet dynamic friction coefficient, is the later period DEM analysis provides data, and organic fertilizer is powder shape, cementitious between particle, there are energy key between particle and particle, Surface force can indicate with the surface JKR, and particle is after scaling, and internal exposure parameter can change, it is therefore desirable in conjunction with The test result at different water cut organic fertilizer angle of repose carries out parameter calibration with DEM analysis software EDEM software.Pass through three Dimension software UG models peg model, is then introduced into EDEM simulation software, is illustrated in fig. 2 shown below.Model includes that cylinder is saturating Bright fertilizer container and ground.The Virtual Calibration is so that the angle of repose of emulation is stopped with what is tested by continuous corrected parameter Angle is consistent.Modified parameter mainly includes the exposure parameter and contact model parameter between particle and particle, calibration result parameter As shown in table 2.
2 different performance organic fertilizer exposure parameter of table
Analysis of simulation result
1) parameter setting
EDEM emulation, which is related to parameter, three categories, exposure parameter and contact mould between Material Physics property parameters, material Shape parameter.
Using defertilizing opening fertilizer rate of discharge, fertilizer fluctuation as index, to fertilizer applicator application different water cut organic fertilizer Fertilizer process status is analyzed.It is arranged according to above-mentioned simulation parameter, the kinematic parameter for also needing setting mechanical mechanism suitable, machine Structure moves time started 1.2s, the contact model that setting belt is Moving Plane, and belt transmission speed is 0.37m/s, has Machine fertilizer opening degree is 10mm, and stirring knife revolving speed is 3r/s (180r/min), and simulation calculation formula selects Euler's formula, total simulation time 8 seconds, according to related data, the Rayleigh time was generally 20%~40%, took 25%;Under normal circumstances, grid dividing is minimum 2 times of partial size need to make grid number less than 1,020,000 to go on smoothly emulation can, therefore be minimum grain size by grid dividing 3.8 times, obtaining always calculating grid is 804815.
Material intrinsic parameters have grain density, Poisson's ratio and modulus of shearing, generally related to document is searched by doing experiment Data acquisition, organic fertilizer are mainly fermented by vinasse, the stalk of crushing and oil cake, the related data and object provided according to producer Rationality matter measures to obtain organic fertilizer intrinsic parameters.Fertilizer applicator device materials select 45# steel, and feed belt material is PVC type, look into It reads pertinent literature and obtains the intrinsic parameters of organic fertilizer contact material, as shown in table 3.
3 material intrinsic parameters of table
Material Poisson's ratio Modulus of shearing/Pa Density/Kgm-3
Organic fertilizer 0.30 1e+08 739.51
Belt 0.45 1e+06 1300
45#Steel 0.50 1.77e+08 1180
Note: organic fertilizer parameter is the intrinsic parameters under factory state.
Herta-MinDlin (No slip) contact model, organic fertilizer particles are selected between organic fertilizer particles and mechanical structure Herta-MinDlin with JKR cohesion contact model is selected between particle, needs to be characterized with energy density Contact viscosity between grain obtains contact exposure parameter such as table according to fertilizer physical property test result combination consulting literatures data Shown in 4.
The basic exposure parameter of 4 material of table
Material Collide recovery coefficient Confficient of static friction Dynamic friction coefficient Contact type
Fertilizer-fertilizer 0.35 0.8 0 Herta-MinDlin with JKR cohesion
Fertilizer-steel 0.1 0.5 0.15 Herta-MinDlin(No slip)
Fertilizer-belt 0.4 0.25 0.05 Herta-MinDlin(No slip)
Simulation result
Shown in the following Fig. 3-9 of different water cut organic fertilizer fertilizer performance simulation situation, particle velocity is selected to characterize particle State, for convenience of particle flow and defertilizing opening fertilizer situation is observed, interception feed belt bottom surface emulates map analysis.Particle is mainly It is transmitted and is discharged by belt, feed belt bottom surface analogous diagram can be visually seen Particle Velocity situation and defertilizing opening flow rate situation. It can be seen that when moisture content is 2.43%, 5.34%, 9.45%, 13.35%, as organic fertilizer moisture content increases, fertilizer Mouth fertilizer distribution dispersion;Moisture content is bigger, and the smaller relative moving speed of fertilizer moving areas on belt also becomes smaller.Work as moisture content At 16.61%, 19.50%, 23.70%, defertilizing opening hardly fertilizer, it is attached to be mainly distributed on stirring knife for the movement of particle at this time Closely, the almost less stationary of the fertility on feed belt;Also there is caking phenomenon in fertilizer simultaneously, is allowed to beat between entirety and belt Sliding, fertilizer integrally moves under the action of stirring knife, is deposited at defertilizing opening without fertilizer.
By EDEM post-processing module, sensor grid, the sensor are added in emulation mechanical model organic fertilizer defertilizing opening It is spaced 0.1s analysis record defertilizing opening fertilizer quality, the mass flowrate of different organic fertilizer defertilizing openings is obtained, is illustrated in fig. 10 shown below.From It can be seen that the variation of different organic fertilizer defertilizing amounts and fertilizer fluctuate situation in figure, when moisture content is 2.43%, 5.34%, 9.45%, 13.35% when, with organic fertilizer moisture content increase, defertilizing opening defertilizing amount is fewer and fewer, and the transmission speed of fertilizer has wave It is dynamic, but fluctuating range is little.When moisture content is 16.61%, 19.50%, 23.70%, defertilizing opening defertilizing amount is 0.
By EDEM post-processing module, sensor grid, main tracking note are added in mechanical model organic fertilizer filling region The variation for recording and analyzing organic fertilizer quality and quantity in hopper obtains defertilizing amount variation of the different organic fertilizers in simulation time 8s Trend is illustrated in fig. 11 shown below.From the figure we can see that being reduced as organic fertilizer moisture content increases defertilizing amount, when organic fertilizer arrives Up to the not fertilizer of organic fertilizer defertilizing opening after moisture content 16.61%.Organic fertilizer moisture content 2.43%, 5.34%, 9.45%, Defertilizing amount gradually decreases when 13.35%, and unit time defertilizing amount is shown in Table 5.
5 different water cut organic fertilizer of table emulates dose
Moisture content (%) 2.43 5.34 9.45 13.35 16.61 19.50 23.70
Dose (g/s) 74.94 67.38 56.43 34.12 0 0 0
Field trial and result
Test
On January 2nd, 2018 Bijie City prestige Ning County black stone Technology Park carry out field sample, field trial it is flat without stubble The arable land face of site preparation, the full topsoil moisture content 22.5% of soil, test area is about 2000m2.The suspension of 804 tractors is irrigated using thunder One ridge duplicate rows dual material box fertilizer applicator.Analyze fertilizer feelings of the dual material box fertilizer applicator of team's development when applying different humidity organic fertilizer Condition, and comparative analysis is done with simulation result.
Choose 7 parts of organic fertilizers identical with physical property measuring of moisture content.Every kind of moisture content organic fertilizer tests 3 times, every time Test fertilizer nozzle is blocked, after weighing, testing length 40m, when testing each time are collected and numbered with storage pocket Fertilization time is write down with stopwatch, so as to unit of account later period, dose time.Fertilizing equipment test parameters is consistent with simulation parameter, Setting belt transmission speed is 0.37m/s, organic fertilizer opening degree is 10mm, and stirring knife revolving speed is 3r/s (180r/min).Belt passes It is dynamic mainly to lean on land wheel, according to transmission ratio, make tractor forward speed 0.5m/s, wheel diameter 500mm when meet belt and pass Send speed.
As a result: passing through field trial, it is known that for organic fertilizer with the continuous increase of moisture content, dose is fewer and fewer, is having When machine fertilizer moisture content is 16.61%, dose amplitude of variation increases, and defertilizing amount is almost 0.As shown in figure 12, test result Variation tendency is almost the same with simulation result.Organic fertilizer unit time dose under different water cut is as shown in table 6, from table As can be seen that applying fertilizer amount is always than emulation when organic fertilizer moisture content is 2.43%, 5.34%, 9.45%, 13.35% As a result low, and differ more, error is larger, the main reason is that not emulate mobility of particle equal for mobility between practical particle Even, emulation carries out under ideal conditions, and there are frictional force between particle and mechanical structure, also will affect particle transmission speed Rate to influence dose, while when collecting fertilizer, having part Residual Fertilizer in defertilizing tube.But when organic fertilizer is aqueous For rate at 16.61%, 19.50%, 23.70%, field test results have less defertilizing amount, and simulation result defertilizing amount is 0, main It wants the reason is that vibrating the fertilizer at fertilizer apparatus edge because fertilizer applicator has vibration during fertilising and organic fertilizer being allowed to be discharged.
6 different water cut organic fertilizer of table tests dose
Moisture content (%) 2.43 5.34 9.45 13.35 16.61 19.50 23.70
Dose (g/s) 52.16 46.09 36.67 27.23 2.25 1.81 0.27
Conclusion
Parameter calibration is carried out to different water cut organic fertilizer, emulation mechanism is imported by the discrete meta software of EDEM, to fertilising Machine has carried out simulation analysis when applying different water cut organic fertilizer.Have by analysis fertilizer applicator in application different water cut Simulation result in machine fertilizer situation obtains dose and reduces with the increase of moisture content, but amplitude of variation is not very big;When having When machine fertilizer moisture content is less than 16.61%, fertilising stability is high, and fluctuation is small;But when moisture content is greater than 16.61%, fertilizer applicator There is fertilizer clogging.
The dual material box fertilizer applicator developed by early period, to fertilizer applicator fertilizer mechanism in application different water cut organic fertilizer situation Under carried out field trial, and done comparative analysis with simulation result, obtained test result and simulation result variation tendency is basic Unanimously, the feasibility of emulation is demonstrated, with the increase of moisture content, unit time defertilizing amount becomes smaller.Emulation and test result are equal The fertilising function application higher organic fertilizer of moisture content of design is demonstrated, moisture content reaches 13.35%.But simulation result and test Resultant error is larger, and main cause is because emulation mainly has not in view of there are errors in practical work process for fertilizer applicator There is friction etc. between particle and mechanical mechanism
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain Within protection scope of the present invention, therefore, protection scope of the present invention should be based on the protection scope of the described claims lid.

Claims (5)

1. a kind of dual material box organic fertilizer fertilizer method for analyzing performance, it is characterised in that: method includes the following steps:
(1) peg model is modeled by three-dimensional software UG, is then introduced into EDEM simulation software;
(2) it establishes emulation contact model: setting simulation parameter, exposure parameter between Material Physics property parameters, material and connects Touch type selects Herta-MinDlin contact model, between organic fertilizer particles and particle between organic fertilizer particles and mechanical structure Select Herta-MinDlin with JKR cohesion contact model;
(3) organic fertilizer fertilizer performance simulation is carried out using different water cut, obtains organic fertilizer moisture content, the organic fertilizer of optimum range Volume density and organic fertilizer angle of repose.
2. a kind of dual material box organic fertilizer fertilizer method for analyzing performance according to claim 1, it is characterised in that: pass through EDEM Post-processing module adds sensor grid in mechanical model organic fertilizer filling region, and mainly tracking and recording and analyzing in hopper has The variation of machine fertilizer quality and quantity obtains defertilizing amount variation tendency of the different organic fertilizers in simulation time 8s.
3. a kind of dual material box organic fertilizer fertilizer method for analyzing performance according to claim 1, it is characterised in that: pass through EDEM Post-processing module adds sensor grid, sensor distance 0.1s analysis record in emulation mechanical model organic fertilizer defertilizing opening Defertilizing opening fertilizer quality obtains the mass flowrate of different organic fertilizer defertilizing openings.
4. a kind of dual material box organic fertilizer fertilizer method for analyzing performance according to claim 1, it is characterised in that: Herta- MinDlin (No slip) contact model:
If radius is respectively R1、R2, quality m1,、m2Two spherical Elastic Contacts, the elasticity modulus and Poisson's ratio of two particles occurs Respectively E1、v1;E2、v2, therefore equivalent particle radius R*, equivalent mass m*With equivalent elastic modulus E*It is respectively as follows:
Normal direction lap is the calculation formula of α are as follows:
α=R1+R2-|r1-r2| (4)
In formula: r1, r2It is two particle sphere center position vectors.
Intergranular contact surface is circle, contact radius a are as follows:
Normal force F between particlenIt can be found out by formula (4-5).
To sum up, it can do in the proper way as follows to damping force formula (4-7):
Wherein
In formula: β is coefficient;SnFor normal stiffness;For the normal component value of relative velocity;E is recovery coefficient
Tangential forceFtIt is indicated by lower formula:
Ft=-Stδ (11)
Wherein
In formula, δ is tangential lap;StFor shear stiffness;G*For equivalent shear modulus;G1、G2For the modulus of shearing of two particles.
To sum up, it obtains tangentially damping F between particletFormula are as follows:
5. a kind of dual material box organic fertilizer fertilizer method for analyzing performance according to claim 1, it is characterised in that: Herta- MinDlin with JKR cohesion contact model: tangential elastic force, normal direction and the tangential dissipative force and Herta- of model MinDlin contact model calculation method is consistent, but JKR model normal direction power mainly with lap δ, interaction coefficient and surface energy γ is related, and normal direction formula is as follows:
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Cited By (3)

* Cited by examiner, † Cited by third party
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CN110516366A (en) * 2019-08-28 2019-11-29 北京工业大学 A kind of modeling method based on random bead micro-mixer in ultra performance liquid chromatography analysis
CN110516366B (en) * 2019-08-28 2023-04-07 北京工业大学 Modeling method based on random microbead micromixer in ultra-high performance liquid chromatography analysis
CN113011033A (en) * 2021-03-25 2021-06-22 赣江新区澳博颗粒科技研究院有限公司 Numerical simulation method for belt type material conveying process of non-spherical particles

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