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Semi-empirical terramechanics modelling of rough terrain represented by a height field 用高度场表示粗糙地形的半经验地形力学模型
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-05-03 DOI: 10.1016/j.jterra.2024.100975
Eric Karpman , Jozsef Kövecses , Marek Teichmann

Dynamic simulations of various types of off-road vehicles, from planetary rovers to agricultural equipment, have long relied on well-established semi-empirical terramechanics models. While these models do have drawbacks and reliability issues that have been addressed by numerous works in the decades since the models were first introduced, semi-empirical approaches remain one of the few ways to simulate realistic wheel-soil interaction in real-time. One of their drawbacks is their assumption that the terrain is a flat plane. The models work by integrating normal and shear stresses along the wheel-terrain contact patch. The normal stress at each point along the contact patch is determined using an equation that computes soil pressure based on semi-empirical parameters, the dimensions of the wheel and the sinkage, which is determined based on the distance between the point and the plane that defines the terrain. Other works simplify the rough terrain contact problem by defining an equivalent contact plane at each time step in order to continue to be able to use semi-empirical models - modified to work with slanted planes - to compute the interaction forces. In this work, we propose a new, modified version of the semi-empirical model in which interaction forces for a wheel travelling on rough terrain can be computed without the need to use an equivalent contact plane. To highlight the advantages of our proposed approach, we compare our simulation results to the results of simulations using an existing approach for modelling a wheel travelling over rough terrain using traditional semi-empirical models.

长期以来,从行星漫游车到农用设备等各类越野车的动态模拟都依赖于成熟的半经验地形力学模型。虽然这些模型确实存在一些缺点和可靠性问题,但自模型首次推出以来的几十年中,已有大量工作解决了这些问题,半经验方法仍然是实时模拟真实车轮与土壤相互作用的少数方法之一。半经验方法的缺点之一是假设地形是一个平面。这些模型通过整合车轮与地形接触面上的法向应力和剪切应力来工作。接触面上每一点的法向应力都是通过一个方程确定的,该方程根据半经验参数、车轮尺寸和下沉量计算土壤压力,而下沉量是根据该点与地形平面之间的距离确定的。其他研究通过在每个时间步长定义一个等效接触平面来简化粗糙地形接触问题,以便继续使用半经验模型计算相互作用力--该模型经过修改以适用于倾斜平面。在这项工作中,我们提出了一种新的、经过修改的半经验模型,在这种模型中,车轮在崎岖地形上行驶时的相互作用力无需使用等效接触平面即可计算。为了突出我们提出的方法的优势,我们将模拟结果与使用传统半经验模型模拟车轮在崎岖地形上行驶的现有方法的模拟结果进行了比较。
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引用次数: 0
Experimental study and analysis of the position and attitude deviation of planetary rover during driving 行星漫游车行驶过程中位置和姿态偏差的实验研究与分析
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-04-11 DOI: 10.1016/j.jterra.2024.100974
Zhicheng Jia , Jingfu Jin , Xinju Dong , Lianbin He , Meng Zou , Yingchun Qi

Reducing the position and attitude deviation of the planetary rover while driving is an important issue that needs to be considered in the design and controller development of the new types of planetary rovers at this stage. It is also the basis for whether the rovers can carry out exploration missions with high precision requirements on the complex terrain of planetary surfaces. A systematic study of the deviation problems generated by planetary rovers under the most basic open-loop path control is of great significance to improve the effectiveness of planetary detection. In this study, based on simulated Martian terrain and soil, planetary rover driving experiments under various scenes were conducted to test the resulting position and attitude deviation and evaluation indexes under different path types, terrain distributions, driving speeds and steering radius. By combining the experimental phenomena, the action characteristics of single wheel with ground and its influence on the state of the whole vehicle during the deviation generation process are analyzed. And finally, the discussion and conclusion are directed to how to optimize the planetary rover path control. These systematic experiments and analyses can provide valuable references for researchers engaged in the development of mobile controllers for planetary rovers.

减少行星漫游车在行驶过程中的位置和姿态偏差,是现阶段新型行星漫游车设计和控制器开发需要考虑的一个重要问题。这也是漫游车能否在地形复杂的行星表面执行高精度要求的探测任务的基础。系统研究行星漫游车在最基本的开环路径控制下产生的偏差问题,对于提高行星探测的有效性具有重要意义。本研究以模拟火星地形和土壤为基础,进行了行星漫游车在不同场景下的行驶实验,测试了不同路径类型、地形分布、行驶速度和转向半径下产生的位置和姿态偏差及评价指标。结合实验现象,分析了偏差产生过程中单轮与地面的作用特性及其对整车状态的影响。最后,针对如何优化行星漫游车路径控制进行了讨论和总结。这些系统的实验和分析可为从事行星漫游车移动控制器开发的研究人员提供有价值的参考。
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引用次数: 0
Assessment of remote sensing in measuring soil parameters for precision tillage 遥感技术在测量精准耕作土壤参数方面的评估
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-04-06 DOI: 10.1016/j.jterra.2024.100973
Ishmael Nartey Amanor , Ricardo Ospina Alarcon , Noboru Noguchi

Precision tillage (PT) is an innovative method that aims to take mechanical actions in the soil only where it is needed to curb the impact of heavy machinery usage on the soil. This research explores the use of remote sensing to measure relevant soil parameters to implement a PT strategy. This was achieved by combining traditional soil properties measurements and a non-contact approach based on taking hyperspectral camera (HSC) data in the field. Six methods were generated and divided into two sets to determine soil properties to make PT decisions. The first set includes mathematical functions that were generated from the ground true data (GTD). The second set includes functions that were generated from the remotely sensed HSC data and have a relationship with the methods in the first set. It was possible to tune the functions’ parameters to increase the accuracy. In addition, prediction error categories set at 5 % intervals were used to select the best method. The results show that a tuned method based on the GTD has an overall error below 5 %, and a tuned method based on HSC data has an overall error below 10 %.

精确耕作(PT)是一种创新方法,旨在只在需要的地方对土壤采取机械措施,以抑制重型机械使用对土壤的影响。这项研究探讨了如何利用遥感技术测量相关土壤参数,以实施精准耕作战略。通过结合传统的土壤特性测量方法和基于在田间获取高光谱相机(HSC)数据的非接触式方法,实现了这一目标。共产生了六种方法,并将其分为两套,用于确定土壤特性,以做出 PT 决策。第一套包括从地面真实数据(GTD)中生成的数学函数。第二组包括根据遥感 HSC 数据生成的函数,这些函数与第一组中的方法有关联。可以通过调整函数参数来提高精度。此外,还采用了间隔为 5% 的预测误差类别来选择最佳方法。结果显示,基于 GTD 的调整方法的总体误差低于 5%,而基于 HSC 数据的调整方法的总体误差低于 10%。
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引用次数: 0
Parameter study and identification of DEM modeling for varied sand moisture content based on bulldozing experiment 基于推土实验的参数研究和不同含沙量 DEM 模型的识别
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-04-05 DOI: 10.1016/j.jterra.2024.100971
Naohiro Sato, Genya Ishigami

The discrete element method (DEM) has been widely used to simulate varied sand particles interacting with earthmoving machines. However, past research using DEM barely addressed accurate verification and validation for different sand moisture content. Therefore, the main purpose of this paper is to reveal the range of key parameters of an adhesive force model used in the DEM simulation corresponding to the specific sand moisture content. We considered the bulldozing phenomenon to be typical earthmoving work and performed the bulldozing experiments under different sand moisture levels to investigate the bulldozing force variations. Subsequently, the DEM simulation with an adhesive force model calculated the bulldozing force corresponding to the experimental results. The values for two adhesive parameters, i.e., a scaling magnitude and the maximum adhesive distance between particles, were adjusted such that the maximum bulldozing force calculated in the DEM coincides with that of the experiments under different moisture contents. The experimental verification of the DEM revealed the relationship curves between these two key parameters corresponding to the different moisture content. The relationship obtained in this paper implies that the DEM simulation carefully adjusting the adhesive force parameters can reproduce machine interaction on moist sand environments accurately.

离散元素法(DEM)已被广泛用于模拟各种沙粒与推土机的相互作用。然而,过去使用 DEM 进行的研究几乎没有涉及对不同沙子含水量的精确验证和确认。因此,本文的主要目的是揭示在 DEM 模拟中使用的粘着力模型的关键参数范围与特定沙子含水量的对应关系。我们将推土现象视为典型的土方工程,并在不同沙子湿度下进行了推土实验,以研究推土力的变化。随后,利用粘附力模型进行 DEM 仿真,计算出与实验结果相对应的推土力。调整了两个粘附参数的值,即缩放幅度和颗粒间的最大粘附距离,使 DEM 计算出的最大推土力与不同含水量下的实验结果相吻合。DEM 的实验验证揭示了这两个关键参数与不同含水量之间的关系曲线。本文得出的关系曲线表明,通过仔细调整粘附力参数,DEM 仿真能够准确再现潮湿砂土环境下的机器相互作用。
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引用次数: 0
Numerical investigations of traction behaviors of a pneumatic tire on wet granular terrains: DE/FE simulations 对充气轮胎在潮湿颗粒地形上的牵引行为进行数值研究:DE/FE 模拟
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-04-03 DOI: 10.1016/j.jterra.2024.100972
Haiyang Zeng , Xuelian Tang , Shunhua Chen , Hengwei Qi

This paper presents a discrete element/finite element (DE/FE) coupling method to investigate the trafficability of off-road tires on wet granular terrains. Firstly, a DE model of the wet terrain is established, and a linear contact model is adopted to describe the interaction between particles, while the adhesion effect between wet particles is simulated by a liquid bridge force model. An FE model of an off-road tire is then developed, and the Yeoh hyperelastic material model is used to describe the large deformations and nonlinear mechanical behaviors of the off-road tire. Furthermore, numerical simulations of the angle of repose of wet particles are compared with experimental studies to verify the effectiveness of the DE/FE coupling method. Finally, the tire traction behavior under different complex working conditions is predicted by the presented DE/FE coupling approach. The simulation results show that the absolute value of tire sinkage increases almost linearly (the sinkage is 97.1 mm at 25% moisture content) with the rise of moisture content among particles. The rate of change of sinkage is greater for small friction coefficients (< 0.3) than that for large friction coefficients (0.3). The drawbar pull experiences a rapid increase for the slide friction coefficient with a range 0.3 and 0.7, after which the rate of change slows down (0.7). However, the drawbar pull exhibits an opposite trend as the tire pressure and height of the tread pattern increase. Numerical results also indicate that the smaller the slide friction coefficient, the larger the soil deformation, flow, and failure area in wet granular terrains.

本文提出了一种离散元/有限元(DE/FE)耦合方法,用于研究越野轮胎在潮湿颗粒地形上的行车性能。首先,建立了潮湿地形的离散元模型,并采用线性接触模型描述颗粒间的相互作用,同时采用液桥力模型模拟潮湿颗粒间的粘附效应。然后建立了越野轮胎的 FE 模型,并使用 Yeoh 超弹性材料模型来描述越野轮胎的大变形和非线性力学行为。此外,还将湿颗粒休止角的数值模拟与实验研究进行了比较,以验证 DE/FE 耦合方法的有效性。最后,通过提出的 DE/FE 耦合方法预测了不同复杂工况下的轮胎牵引行为。模拟结果表明,随着颗粒间含水量的增加,轮胎下沉量的绝对值几乎呈线性增加(含水量为 25% 时下沉量为 97.1 mm)。小摩擦系数(< 0.3)的轮胎下沉量变化率大于大摩擦系数(⩾0.3)的轮胎下沉量变化率。当滑动摩擦系数在 0.3 和 0.7 之间时,拉杆拉力迅速增加,之后变化速度减慢 (⩾0.7)。然而,随着轮胎压力和胎面花纹高度的增加,牵引杆拉力呈现出相反的趋势。数值结果还表明,在潮湿的颗粒状地形中,滑动摩擦系数越小,土壤变形、流动和破坏面积就越大。
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引用次数: 0
Study on the mechanical model of footpad-terrain for walking robot moving in low gravity environment 低重力环境下行走机器人的脚垫-地形力学模型研究
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-03-19 DOI: 10.1016/j.jterra.2024.100970
Zhen Chen, Meng Zou, Lining Chen, Yuzhi Wang, Lianbin He

Due to the low gravity environment and the influence of complex terrain condition in deep space exploration, wheeled mobile systems are prone to meet motion abnormalities. The excellent motion performance of walking robot is more suitable for the future deep space exploration, but the robots are prone to occur large sinkage in soft terrain. A mechanical model is built to describe a gait cycle of a walking robot under soft terrain and low gravity environment. The force on the footpad during actual movement in a gait cycle is obtained through a single-legged test bench under the simulated planet terrain. The effects of sizes of footpads, sinkage and other factors are explored. The results indicate that the larger the size of the footpad, the greater the horizontal force on the footpad, the better the motion performance is. But as the size of footpad increase, the vertical force decreases which indicates poor support performance. By comparing and analyzing the model values with the experimental values, for the horizontal force FT, the average errors for the average force and peak force are 10.05% and 7.76%. The average errors for average force and peak force are 5.19% and 5.86% for vertical force FN. The values are not significantly different from the model values and experimental values which indicates that the mechanical model has high accuracy. The obtained mechanical model can provide a reference for the motion of walking robots in complex low gravity environment.

在深空探测中,由于低重力环境和复杂地形条件的影响,轮式移动系统容易出现运动异常。行走机器人运动性能优越,更适合未来的深空探测,但在软地形中容易出现较大的下沉。本文建立了一个机械模型来描述行走机器人在软地形和低重力环境下的步态循环。通过模拟行星地形下的单腿试验台,获得了步态周期中实际运动时脚垫所受的力。探讨了脚垫尺寸、下沉和其他因素的影响。结果表明,脚垫尺寸越大,脚垫上的水平力越大,运动性能越好。但随着脚垫尺寸的增大,垂直力会减小,这表明支撑性能较差。通过对比分析模型值和实验值,对于水平力 FT,平均力和峰值力的平均误差分别为 10.05% 和 7.76%。对于垂直力 FN,平均力和峰值力的平均误差分别为 5.19% 和 5.86%。模型值与实验值相差不大,这表明力学模型具有较高的精度。所获得的机械模型可为行走机器人在复杂低重力环境下的运动提供参考。
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引用次数: 0
Effect of contact length of bias ply tractor tire on its tractive performance 斜交帘布拖拉机轮胎的接触长度对其牵引性能的影响
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-03-14 DOI: 10.1016/j.jterra.2024.100969
Harsha Chandrakar, Hifjur Raheman

In order to study the effect of contact length of tire on tractive performance of tractor, experiments were conducted using a single wheel tester fitted with 13.6–28 bias ply tire in a soil bin in soft soil condition. Contact length and contact width were measured at different normal loads (9.8 kN and 13.72 kN) and inflation pressures (83, 103, 124 and 138 kPa). Results showed that the contact length had higher influence on tire pulling ability and tractive efficiency as compared to contact width of the tire. An equation for predicting contact length was developed using XLSTAT software, with normal load and inflation pressure as an independent variables and contact length as a dependent variable. The model demonstrated high efficiency with a coefficient of determination (R2) 0.96, a percentage of variation 0.76 %, a root mean square error 10.841, and an adjusted R2 0.95. Additionally, a second-order polynomial equation was developed using curve fitter app to estimate drawbar pull of a tractor by keeping wheel slip and contact length as independent parameters. Validation with another set of data obtained for 14.6–28 tire yielded R2 0.93 and less than 4 % variation, thus indicated the model’s accuracy in predicting drawbar pull.

为了研究轮胎接触长度对拖拉机牵引性能的影响,在软土条件下,使用装有 13.6-28 斜交轮胎的单轮测试仪在土仓中进行了实验。在不同的正常载荷(9.8 千牛和 13.72 千牛)和充气压力(83、103、124 和 138 千帕)下测量了接触长度和接触宽度。结果表明,与轮胎接触宽度相比,接触长度对轮胎牵引能力和牵引效率的影响更大。使用 XLSTAT 软件,以正常载荷和充气压力为自变量,接触长度为因变量,建立了一个预测接触长度的方程。该模型的确定系数 (R2) 为 0.96,变异百分比为 0.76%,均方根误差为 10.841,调整后的 R2 为 0.95,显示出较高的效率。此外,还使用曲线拟合器应用程序开发了一个二阶多项式方程,通过保留车轮滑移和接触长度作为独立参数来估算拖拉机的牵引杆拉力。用 14.6-28 轮胎的另一组数据进行验证,结果 R2 为 0.93,变化率小于 4%,从而表明该模型在预测牵引力方面的准确性。
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引用次数: 0
Comparative study of terramechanics properties of spherical and cylindrical feet for planetary legged robots on deformable terrain 行星腿机器人球形脚和圆柱形脚在可变形地形上的地形力学特性比较研究
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-03-12 DOI: 10.1016/j.jterra.2024.100968
Huaiguang Yang , Chu Zhang , Liang Ding , Qingqing Wei , Haibo Gao , Guangjun Liu , Liyuan Ge , Zongquan Deng

Legged robots exhibit superior adaptability to complex extraterrestrial environments compared to wheeled mobile robots. However, legged robots employed in planetary exploration face challenges in dealing with soft terrains. This paper focuses on investigating the issues of large foot sinkage and slip encountered by legged robots on soft terrain. Extensive experiments on quasi-static loading, loading with impact and tangential force have been carried out for both spherical and cylindrical feet. The variations in normal force, tangential force, and sinkage are meticulously recorded and analyzed. Foot-terrain interaction mechanics models are established to address scenarios involving substantial sinkage and sliding sinkage, leveraging the stress distribution characteristics of deformable soil. Accurate models are obtained through parameter identification utilizing experimental data, which can aid in the foot design of legged robots intended for planetary exploration. Based on the developed models and experimental data, a design optimization scheme for the coronal foot is proposed, leading to performance enhancements that are validated through experimental verification.

与轮式移动机器人相比,腿式机器人对复杂的地外环境具有更强的适应能力。然而,在行星探索中使用的腿式机器人在处理软地形时面临挑战。本文重点研究了有腿机器人在松软地形上遇到的大量脚陷和滑移问题。针对球形脚和圆柱形脚进行了大量的准静态加载、冲击加载和切向力实验。对法向力、切向力和下沉的变化进行了细致的记录和分析。利用可变形土壤的应力分布特征,建立了脚-地形相互作用力学模型,以解决涉及大量下沉和滑动下沉的情况。通过利用实验数据进行参数识别,获得了精确的模型,这有助于用于行星探索的有脚机器人的脚部设计。根据所建立的模型和实验数据,提出了冠状脚的优化设计方案,从而通过实验验证提高了性能。
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引用次数: 0
Tensor-train compression of discrete element method simulation data 离散元素法模拟数据的张量列车压缩
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-02-27 DOI: 10.1016/j.jterra.2024.100967
Saibal De , Eduardo Corona , Paramsothy Jayakumar , Shravan Veerapaneni

We propose a framework for discrete scientific data compression based on the tensor-train (TT) decomposition. Our approach is tailored to handle unstructured output data from discrete element method (DEM) simulations, demonstrating its effectiveness in compressing both raw (e.g. particle position and velocity) and derived (e.g. stress and strain) datasets. We show that geometry-driven “tensorization” coupled with the TT decomposition (known as quantized TT) yields a hierarchical compression scheme, achieving high compression ratios for key variables in these DEM datasets.

我们提出了一种基于张量-列车(TT)分解的离散科学数据压缩框架。我们的方法专为处理离散元法(DEM)模拟的非结构化输出数据而设计,证明了它在压缩原始数据集(如粒子位置和速度)和衍生数据集(如应力和应变)方面的有效性。我们展示了几何驱动的 "张量化 "与 TT 分解(称为量化 TT)相结合产生的分层压缩方案,为这些 DEM 数据集中的关键变量实现了高压缩比。
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引用次数: 0
Modelling soil-rotor blade interaction of vertical axis rotary tiller using discrete element method (DEM) 利用离散元素法(DEM)模拟垂直轴旋耕机的土壤-旋耕刀相互作用
IF 2.4 3区 工程技术 Q1 Engineering Pub Date : 2024-01-18 DOI: 10.1016/j.jterra.2024.01.001
Prakhar Patidar, Peeyush Soni, Achala Jain, Vijay Mahore

Vertical-axis rotary tillers are preferred over other soil-engaging tools for inter-culture operations due to their superiority in avoiding tillage pan formation, facilitating drainage, and operability at higher forward speeds. To optimize their design and operation, and to promote sustainable agricultural practices, a greater understanding of the kinematics, dynamics, and soil-structure interaction of vertical axis rotary tiller is required, along with the optimization of required energy. In this study, discrete element method (DEM) is used to analyse the interaction between soil and rotor blades, by incorporating the Hysteric Spring Contact Model along with linear cohesion model v2. Soil-rotor blade interaction DEM model is developed using Altair® EDEM® to analyse the effect of u/v ratio (2.13, 2.90, 3.70, and 4.44) and average operating depth (30 mm, 50 mm, and 70 mm) on draft and torque requirements for the rotor blade, as well as experimentally validating the simulation in a soil bin. In this study, lower u/v ratios in vertical axis rotary tillers demand higher torque for larger soil volumes. Additionally, torque rises with operating depth, owing to increased soil volume and strength. The simulated results closely followed the measured draft and torque for all combinations of u/v ratio and operating depth (R2 0.96 and 0.99). These findings indicate the DEM model as a dependable approach for modelling the performance of rotary tillers under different soil conditions.

由于垂直轴旋耕机在避免耕盘形成、促进排水以及在较高前进速度下的可操作性方面具有优势,因此与其他土壤耕作工具相比,垂直轴旋耕机更适合用于间作农业。为了优化设计和操作,促进可持续农业实践,需要进一步了解垂直轴旋耕机的运动学、动力学和土壤与结构的相互作用,同时优化所需的能量。本研究采用离散元素法(DEM)分析土壤与旋耕机叶片之间的相互作用,并结合 Hysteric Spring Contact Model 和线性内聚力模型 v2。使用 Altair® EDEM® 开发了土壤-转子叶片相互作用 DEM 模型,以分析 u/v比(2.13、2.90、3.70 和 4.44)和平均工作深度(30 毫米、50 毫米和 70 毫米)对转子叶片吃水和扭矩要求的影响,并在土壤仓中对模拟进行了实验验证。在这项研究中,垂直轴旋耕机的 u/v 比越低,土壤体积越大,所需的扭矩就越大。此外,由于土壤体积和强度的增加,扭矩会随着作业深度的增加而增加。在所有 u/v 比和作业深度组合下,模拟结果都与测量的牵引力和扭矩密切相关(R2 为 0.96 和 0.99)。这些结果表明,DEM 模型是模拟不同土壤条件下旋耕机性能的可靠方法。
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引用次数: 0
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Journal of Terramechanics
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