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基于離散元的土壤模型參數(shù)標(biāo)定方法
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國家重點研發(fā)計劃項目(2016YFD0700301)


Calibration Method of Soil Contact Characteristic Parameters Based on DEM Theory
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    摘要:

    離散元法(EDEM)建立土壤模型過程中部分土壤顆粒參數(shù)直接測量難度較大,若基于間接測量的土壤參數(shù)值建立離散元土壤模型進(jìn)行仿真,導(dǎo)致仿真結(jié)果誤差較大。本文結(jié)合代理模型基本理論,提出一種離散元土壤模型的參數(shù)標(biāo)定及優(yōu)化方法,步驟如下:根據(jù)基本試驗測定的參數(shù)建立離散元土壤模型;結(jié)合堆積角及剪切試驗,利用模型仿真進(jìn)行模型參數(shù)敏感性分析;以敏感性參數(shù)為變量,以真實試驗測量值為目標(biāo)值構(gòu)造代理模型;通過高斯-牛頓迭代法進(jìn)行參數(shù)優(yōu)化。由敏感性分析結(jié)果知,代理模型自變量為土壤顆粒半徑、顆粒間靜摩擦因數(shù)及滾動摩擦因數(shù),目標(biāo)量為土壤堆積角、黏聚力、內(nèi)摩擦角。以涿州保護(hù)性耕作試驗站土壤(砂壤土)為原型,經(jīng)優(yōu)化建立的土壤模型變量參數(shù)值分別為:顆粒半徑5.7mm,顆粒間靜摩擦因數(shù)0.45,滾動摩擦因數(shù)0.21。將建立的離散元土壤模型進(jìn)行輪胎-土壤相互作用仿真模擬,分析輪胎-土壤接觸面最大應(yīng)力、平均應(yīng)力,并通過田間試驗進(jìn)行驗證,將接觸面最大應(yīng)力值、平均應(yīng)力的仿真值與實際測量值進(jìn)行比較,結(jié)果表明:虛擬仿真與實測值之間數(shù)值差異在5.1%以內(nèi),標(biāo)定優(yōu)化后的土壤模型能夠近似代替真實土壤進(jìn)行仿真。

    Abstract:

    Discrete element modelling (DEM) is a numerical method for examining the dynamic behaviour of granular media. Soil is a nonuniform, discontinuity, elastic-plastic complicated medium. Although there are some advantages of using continuum numerical methods, the assumption of continuity is not always valid, as when there is a change in the soil structure and soil translocation. In order to overcome the shortcomings of the continuum numerical methods, discrete element modelling (DEM), which is a discontinuum numerical method for modelling the mechanical behaviour of granular materials, is a relevant approach for modelling soil as it can consider soil failure, deformation and translocation. In DEM simulation, soil is composed of individual particles which can be defined to be very small in size. And one of the key aspects for successful DEM simulation is to define and calibrate the model soil particles so that they reflect the behavior of real soil. This study presents a systematic method for calibrating a granular soil model, which is based on the surrogate model theory. This systematic method including four steps: (1) construct the soil contact model, the soil parameters were determined by two ways,measurement of three of the real-material properties through experiments and reference some soil parameters;(2) determination of the design variables defining the virtual soil, the design variables were selected by soil parameter sensitivity analysis;(3) construction of surrogate models for the virtual-material properties as a function of the design variables via simulated experiments;(4) optimization of the design-variable values to fit the virtual-soil properties to the real-soil values. The Edinburgh Elasto-Plastic Cohesion Model (ECM) was selected to fit the soil particle contact model, which was the elastic-plastic mechanics model. And the ECM contact parameters and it’s value were constant adhesive pull-off force f0:-0.001N, adhesive parameter stiffness kadh:45kN/m, tangential stiffness factor γt: 0.05,loading spring stiffness k1:100kN/m, unloading/reloading spring stiffness k2:613kN/m. The virtual soil model sensitivity analysis results showed that the particle radium, particle contact static friction and rolling friction should be calibrated and optimized. Finally, this paper constructed a soil model, the real soil sample experiment tested were taken from Zhuozhou city Hebei province, the soil texture is sandy loam soil. By this way, the optimized soil model parameters were particle radium 5.7mm,the static friction between two soil particles 0.45,the rolling friction between two soil particles 0.21, respectively. The soil penetration resistance tests simulation with optimized physical parameters were carried out. The real test about soil penetration resistance were carried out. Results showed that the difference values between virtual simulation and real test within 5.1%. And, it proved that the soil model after optimized could replace the real soil and take some simulation relate to soil-implement. This study provide the theory for soil model parameter calibration and optimization based on DEM method.

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王憲良,胡紅,王慶杰,李洪文,何進(jìn),陳婉芝.基于離散元的土壤模型參數(shù)標(biāo)定方法[J].農(nóng)業(yè)機(jī)械學(xué)報,2017,48(12):78-85. WANG Xianliang, HU Hong, WANG Qingjie, LI Hongwen, HE Jin, CHEN Wanzhi. Calibration Method of Soil Contact Characteristic Parameters Based on DEM Theory[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(12):78-85.

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  • 收稿日期:2017-04-17
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