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Strategy for Topological Reconfiguration of Cable-Driven Parallel Robots 电缆驱动并联机器人拓扑重组策略
Pub Date : 2024-06-03 DOI: 10.1115/1.4065642
F. Trautwein, David Dietrich, A. Pott, Alexander Verl
This paper presents a strategy for stable topological In-Operation-Reconfiguration of Cable-Driven Parallel Robots. Hereby, the term topological refers to the addition or removal of active cables and, thus, changing the topology of the cable robot. During the whole reconfiguration process, the strategy guarantees platform stability by considering a stability criterion that is based on potential energy. In this context, two new formulations of a stable and minimal-stable workspace are introduced. Consequently, the theoretical foundations of kinematics and statics are introduced first. Based on that, limitations in conventional modelling approaches in context of topological reconfiguration are outlined and necessary adaptions of the modelling are made. Afterwards, impacts of topological adaptions are analysed, followed by a formal description and a strategy for topological In-Operation-Reconfiguration. Conclusively, the reconfiguration strategy is applied to two simulation experiments, which show that the method is suitable to determine a stable reconfiguration sequence for the desired adaption of the robot.
本文介绍了一种对电缆驱动并联机器人进行稳定拓扑运行中重新配置的策略。这里的拓扑指的是增加或移除有源电缆,从而改变电缆机器人的拓扑结构。在整个重新配置过程中,该策略通过考虑基于势能的稳定性标准来保证平台的稳定性。在这种情况下,引入了稳定工作空间和最小稳定工作空间的两种新公式。因此,首先要介绍运动学和静力学的理论基础。在此基础上,概述了拓扑重组背景下传统建模方法的局限性,并对建模进行了必要的调整。随后,分析了拓扑调整的影响,并对拓扑运行中重新配置进行了正式描述和提出了策略。最后,将重新配置策略应用于两个模拟实验,结果表明该方法适用于确定稳定的重新配置序列,以实现所需的机器人适应性。
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引用次数: 0
Kinetostatic modeling of an asymmetrical double stepped beam for displacement amplification 用于位移放大的不对称双阶梯梁的运动静力学建模
Pub Date : 2024-05-15 DOI: 10.1115/1.4065521
Tri-Hieu Nguyen, Huy-Tuan Pham, N. Tran, Dung-An Wang
A kinetostatic model of an asymmetrical double stepped beam under axial loading is developed. The beam is composed of two thick segments and three thin segments where a thick segment is between two thin segments, and the longitudinal axis of the thick segment is not colinear with that of the thin segment. The kinetostatic model based on the beam constraint model (BCM) is capable of predicting accurate bending and near buckling behaviours of the beam. A virtual rigid link neighbouring the non-colinear segments is introduced in the BCM to broaden the applicability of the BCM. An analytical formula to represent the critical load of a symmetrical double stepped beam under axial loading is derived and the value calculated by the formula agrees with the limit load of the asymmetrical double stepped beam within the elastic range. The investigated beam has potential applications in displacement amplifiers and robotic grippers.
本文建立了轴向载荷作用下不对称双阶梯梁的运动静力学模型。该梁由两个厚段和三个薄段组成,其中一个厚段位于两个薄段之间,厚段的纵轴与薄段的纵轴不平行。基于梁约束模型(BCM)的运动静力学模型能够准确预测梁的弯曲和近似屈曲行为。在 BCM 中引入了与非直线段相邻的虚拟刚性连接,以扩大 BCM 的适用范围。推导出了对称双阶梯梁在轴向载荷作用下的临界载荷解析公式,公式计算出的数值与非对称双阶梯梁在弹性范围内的极限载荷相吻合。所研究的梁有可能应用于位移放大器和机器人抓手。
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引用次数: 0
Enhanced Euler-Lagrange Formulation for Analyzing Human Gait with Moving Base Reference 利用移动基座参考分析人体步态的增强型欧拉-拉格朗日公式
Pub Date : 2024-05-15 DOI: 10.1115/1.4065520
Sekar Anup Chander, Ashutosh Mukherjee, Vhatkar Dattatraya Shivling, Ashish Singla
Euler-Lagrange's formulation is known for its systematic and simplified approach in deriving dynamics of complex systems. In order to apply the existing formulation to human gait dynamics, the base reference frame must be assumed as an inertial reference frame. Conventionally, the ankle joint or the hip joint are regarded as base reference frames during the stance and swing phase of human walking. As these joints are non-inertial in nature during actual locomotion, this assumption could result in inaccurate calculation of lower-limb joint torques and forces. Therefore, in this paper, an existing Euler-Lagrange based formulation originally developed for fixed-base robotic manipulators is considered and modified to accommodate the movement of the base reference frame with respect to an inertial frame of reference defined outside the human body. The applicability of the modified formulation is studied, implemented, and validated using three standard and publicly available gait datasets covering the phases of walking and running. The joint torques obtained using the proposed dynamic model are compared with reference torques by calculating the mean absolute error values and visually through Bland-Altman plots. The obtained joint torque values and plots indicate a close agreement with published torques, thereby validating the accuracy of the proposed dynamic model. The robust formulation implementation makes it a valuable resource for researchers in this field, offering a reliable framework for gait analysis and the design of lower-limb prosthetics or exoskeletons.
欧拉-拉格朗日公式以其在推导复杂系统动力学时的系统性和简化方法而著称。为了将现有公式应用于人体步态动力学,必须假设基础参考框架为惯性参考框架。通常,在人类行走的站立和摆动阶段,踝关节或髋关节被视为基础参考框架。由于这些关节在实际运动时是非惯性的,这种假设可能会导致下肢关节扭矩和力的计算不准确。因此,本文考虑并修改了最初为固定基座机器人操纵器开发的基于欧拉-拉格朗日的现有公式,以适应基座参照系相对于人体外惯性参照系的运动。我们使用三个标准的公开步态数据集研究、实施和验证了修改后公式的适用性,这些数据集涵盖了行走和跑步两个阶段。通过计算平均绝对误差值和直观的布兰-阿尔特曼图,将使用拟议动态模型获得的关节扭矩与参考扭矩进行比较。所获得的关节扭矩值和曲线图显示与已公布的扭矩值非常接近,从而验证了所提出的动态模型的准确性。该模型强大的公式实现能力使其成为该领域研究人员的宝贵资源,为步态分析和下肢假肢或外骨骼设计提供了可靠的框架。
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引用次数: 0
Analysis of the Rigid Foldability of Origami Patterns Based on Spatial Positions of Creases 基于折痕空间位置的折纸图案刚性可折叠性分析
Pub Date : 2024-05-03 DOI: 10.1115/1.4065461
Feng Wang, Fan Zhang, Guohua Cui
Rigid foldability is a special property of rigid origami patterns, where each origami plane remains undeformed during continuous movement along the predetermined crease. Current research on the rigid foldability of origami patterns mainly focuses on kinematics, while less attention is paid to factors that cause deformation of the folding plane. Whether the relative spatial position of adjacent creases has been changed is a critical factor that influences the state (rigid or deformed) of the folding plane between the two adjacent creases during the folding process. This study considered two factors (linear relationship and Euclidean distance) to measure the changes in the spatial positions of creases, explored the relationship between the two factors and rigid folding, and identified deformation forms that affects rigid foldability. First, the origami pattern was regarded as a linkage mechanism, and the linear relationship between creases was determined from the single-vertex origami unit forming this origami structure. Then, the geometric parameters of the origami pattern were used to calculate the Euclidean distance between two points on adjacent creases during the folding process. If the linear relationship and Euclidean distance always remain the same, the origami pattern has rigid foldability. Based on changes in Euclidean distance, this method can also help determine the main deformation of non-rigidly foldable origami patterns. In addition, it further provides a novel approach for determining the layout of the crease position and the judgment of rigid foldability during origami-inspired mechanism design.
刚性可折叠性是刚性折纸图案的一种特殊属性,即每个折纸平面在沿着预定折痕连续运动的过程中保持不变形。目前对折纸图案刚性可折叠性的研究主要集中在运动学方面,而对导致折纸平面变形的因素关注较少。在折叠过程中,相邻折痕的相对空间位置是否发生变化是影响相邻两条折痕之间折叠平面状态(刚性或变形)的关键因素。本研究考虑了两个因素(线性关系和欧氏距离)来衡量折痕空间位置的变化,探讨了这两个因素与刚性折叠之间的关系,并确定了影响刚性折叠性的变形形式。首先,将折纸图案视为一种联动机制,并从形成这种折纸结构的单折纸单元中确定折痕之间的线性关系。然后,利用折纸图案的几何参数计算折叠过程中相邻折痕上两点之间的欧氏距离。如果线性关系和欧氏距离始终保持不变,则该折纸图案具有刚性可折叠性。根据欧氏距离的变化,该方法还有助于确定非刚性可折叠折纸图案的主要变形。此外,它还为折纸启发机构设计过程中确定折痕位置布局和判断刚性可折叠性提供了一种新方法。
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引用次数: 1
An Origami-enabled Soft Linear Actuator and its Application on a Crawling Robot 支持折纸的软线性致动器及其在爬行机器人上的应用
Pub Date : 2024-05-03 DOI: 10.1115/1.4065462
Shuiqing Yan, Keyao Song, Xiashuang Wang, Jiake Li, Ma Zhe, Xiang Zhou
Soft linear actuators have strong deformation ability and good environmental adaptability, which have been widely used in soft robot design. However, little work has focused on designing soft linear actuators with balanced performances, featuring fast driving speed, large output displacement, lightweight, and miniaturization. Herein, we present a novel soft linear actuator design based on the Kresling origami structure. By driving the Kresling tubes with a servo motor, the soft linear actuator has good compliance and strong environmental adaptability and can achieve fast driving speed, large driving force, and high control precision comparable to the traditional electrical motor. The analytical models of the Kresling tubes and the whole actuator are respectively derived to analyze the mechanical properties, determine the optimal geometry of the Kresling tube and evaluate the driving performance of the whole actuator. The actuator prototype is fabricated by 3D printing, and the actual driving performance is tested. It is shown that the prototype can achieve a maximum output displacement of 18.9 mm without payload or 16mm under a payload of 30 N. Finally, as a case study, the soft linear actuator is applied to a crawling robot, where the maximum moving speed of 28 mm/s is reached.
软线性致动器具有较强的变形能力和良好的环境适应性,在软机器人设计中得到了广泛应用。然而,人们很少关注如何设计出性能均衡、驱动速度快、输出位移大、重量轻和小型化的软线性致动器。在此,我们提出了一种基于克瑞斯林折纸结构的新型软线性致动器设计。通过伺服电机驱动克瑞斯林管,软线性致动器具有良好的顺应性和较强的环境适应性,可实现与传统电机相媲美的快速驱动速度、较大驱动力和较高控制精度。分别推导了克瑞斯林管和整个致动器的分析模型,以分析其力学性能、确定克瑞斯林管的最佳几何形状并评估整个致动器的驱动性能。通过三维打印技术制作了致动器原型,并对其实际驱动性能进行了测试。结果表明,原型在无负载的情况下可实现 18.9 毫米的最大输出位移,在负载为 30 N 的情况下可实现 16 毫米的最大输出位移。最后,作为案例研究,将软线性致动器应用于爬行机器人,其最大移动速度达到 28 毫米/秒。
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引用次数: 0
Analysis of Instantaneous Kinematic Properties regarding the Shape of Robotic Mechanisms 有关机器人机构形状的瞬时运动特性分析
Pub Date : 2024-04-23 DOI: 10.1115/1.4065371
Keisuke Arikawa
We demonstrate the general formulation of a method for conducting a kinematic analysis regarding the shape formed by multiple reference links on robotic mechanisms. In contrast to the standard kinematic analysis of robot manipulators that assumes having a single hand link configuration with respect to the base link, the formulated kinematic analysis regarding the shape is free from this assumption. Consequently, an analysis without specifying base link and that about shape defined by multiple reference links are possible. Moreover, the kinematic properties, which are invariant from the switching of base and hand links, can be obtained. First, a method to decompose motions of multiple bodies into rigid and non-rigid components is formulated. Then, the method is generalized considering the weights for translational and angular velocities. Next, Jacobian matrices that relate active joint velocities and non-rigid motions (change in the shape) of specified reference links on the robotic mechanism are defined. Subsequently, certain measures for evaluating shape controllability are defined based on the measures for evaluating hand configuration controllability of robot manipulators. Finally, some application examples using the defined measures are demonstrated.
我们展示了对机器人机构上多个参考链接形成的形状进行运动学分析的方法的一般表述。机器人机械手的标准运动学分析假定相对于基础链路具有单一的手部链路配置,与此不同的是,所制定的形状运动学分析没有这一假定。因此,可以在不指定基础链路的情况下进行分析,也可以对多个参考链路定义的形状进行分析。此外,还可以获得与基准链路和手部链路的切换无关的运动学特性。首先,提出了一种将多体运动分解为刚性和非刚性部分的方法。然后,考虑平移速度和角速度的权重,对该方法进行推广。接着,定义了与机器人机构上指定参考链接的活动关节速度和非刚性运动(形状变化)相关的雅各布矩阵。随后,根据机器人机械手的手部配置可控性评估方法,定义了一些形状可控性评估方法。最后,演示了一些使用所定义的测量方法的应用实例。
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引用次数: 0
Folding Auxetic Polygonal Kirigami Tubes 折叠辅助多边形桐花纹管
Pub Date : 2024-04-23 DOI: 10.1115/1.4065372
Martin Walker
Tubular auxetic structures have wide-ranging applications including medical stents, collapsible energy absorbers, and novel fasteners. To expand development in these areas, and open up new application directions, an expanded range of design and construction methods for auxetic tubes is required. In this study we propose a new method to construct polygonal cross-section auxetic tubes using the principles of origami and kirigami. These tubes exhibit useful global auxetic behaviour under axial extension, despite the individual polygon faces not being auxetic themselves. A flat kirigami sheet cannot be simply folded into a polygonal tube since this creates kinematic incompatibilities along the polygon edges. This is resolved by replacing the edge folds with an origami mechanism consisting of a pair of triangular facets. This approach eliminates the incompatibilities at the edges while maintaining a connection between faces. The proposed edge connection also introduces additional control parameters for the tube kinematics: for example, introducing a kinematic limit on tube extension and enabling non-uniform behaviour along the length of the tube. The rich kinematic behaviour possible with polygonal cross-section kirigami tubes has potential applications ranging from soft robotics to energy-dissipating devices.
管状磁性结构应用广泛,包括医疗支架、可折叠能量吸收器和新型紧固件。为了扩大这些领域的发展并开辟新的应用方向,需要扩大辅助管的设计和构造方法的范围。在这项研究中,我们提出了一种利用折纸和叽里格米原理建造多边形截面辅助管的新方法。这些管子在轴向延伸时表现出有用的全局辅助特性,尽管单个多边形面本身并不具有辅助特性。平整的叽里格纸片不能简单地折叠成多边形管,因为这样会造成多边形边缘的运动不协调。解决这个问题的方法是用一对三角形面组成的折纸机构来代替边缘折叠。这种方法既消除了边缘的不兼容性,又保持了面与面之间的连接。拟议的边缘连接还为管子运动学引入了额外的控制参数:例如,为管子的延伸引入了运动学限制,并使管子沿长度方向的非均匀行为成为可能。多边形截面的叽里呱啦管具有丰富的运动特性,其潜在应用范围包括软机器人和能量消耗装置。
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引用次数: 0
Wrench estimation and friction compensation using multiple shooting method for tether units augmented to remote tendon-driven continuum robots 利用多重射击法对远程肌腱驱动连续机器人的系绳装置进行扳手估算和摩擦补偿
Pub Date : 2024-04-23 DOI: 10.1115/1.4065370
J. Chien, Clarissa Leong, Jingmin Liu, S. Foong
Remote actuated mechanisms that employ tendon sheaths or tether units can transmit mechanical force without directly connecting the actuators to the mechanism, but suffer from undesirable side effects like mechanical friction and induced external wrench disturbances on the distal side of the mechanism. In this work, a multiple shooting method is proposed as a superior method to the single shooting method to solve the Cosserat rod boundary value problems, to obtain the states of the system. With that, numerical experiments are provided to demonstrate the difficulty of solving these boundary value problems, simultaneously showing the validity of the proposed approach. 2D reconstruction experiments were conducted to show shape reconstruction capabilities. Additionally, friction loss and 6-DOF wrench estimations were also experimentally validated with the proposed mathematical model with 0.1679N and 0.0401Nm for RMSE force estimation and torque estimation error respectively, while achieving a 3% mean absolute percentage steady state friction estimation error. Lastly, a modified resolved rates controller was applied to steer a remote tendon-driven continuum robot to compensate for friction loss for 3.1m long tether units.
采用腱鞘或系绳装置的远程驱动机构可以在不直接连接致动器和机构的情况下传递机械力,但会产生不良的副作用,如机械摩擦和机构远端诱发的外部扳手干扰。本研究提出了一种优于单射法的多射法来求解 Cosserat 杆边界值问题,从而获得系统的状态。通过数值实验证明了解决这些边界值问题的难度,同时也证明了所提方法的有效性。还进行了二维重构实验,以展示形状重构能力。此外,摩擦损失和 6-DOF 扳手估算也通过实验验证了所提出的数学模型,力估算和扭矩估算的 RMSE 误差分别为 0.1679N 和 0.0401Nm,同时实现了 3% 的平均绝对百分比稳态摩擦估算误差。最后,改进后的解析速率控制器被应用于远程肌腱驱动连续机器人的转向,以补偿 3.1 米长系绳单元的摩擦损失。
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引用次数: 0
Design and experiment of an ankle rehabilitation robot after fracture surgery 骨折手术后踝关节康复机器人的设计与实验
Pub Date : 2024-04-23 DOI: 10.1115/1.4065392
Monan Ni, Jialin Liu, Zhenhui Sun, Tao Sun
In order to address the problem of functional rehabilitation after ankle fracture surgery. This paper presented a novel ankle fracture rehabilitation robot. The robot adopted R-3RRS-P hybrid structure, which was simple in structure and had two working modes: rehabilitation training and motion axis switching. Comparing with existing ankle rehabilitation robot, the proposed robot could simulate more realistic kinematics of ankle joint complex. Additionally, different body types of patients could be adapted. The kinematic and static models were established in detail using geometric method and screw theory. The coverage of the healthy ankle motion ability was formulated as an optimization problem to improve the robot performance. Multi-objective optimal design was carried out to determine the dimensional parameters. The interference-free working space was calculated by numerical method. A prototype of the proposed robot was developed, and a series of experiments were performed to evaluate the function and feasibility of the proposed robot.
为了解决踝关节骨折术后的功能康复问题。本文介绍了一种新型踝关节骨折康复机器人。该机器人采用R-3RRS-P混合结构,结构简单,具有康复训练和运动轴切换两种工作模式。与现有的踝关节康复机器人相比,该机器人能模拟更真实的踝关节复杂运动学。此外,还能适应不同体型的患者。利用几何方法和螺钉理论建立了详细的运动学和静态模型。为了提高机器人的性能,将健康踝关节运动能力的覆盖范围制定为一个优化问题。通过多目标优化设计来确定尺寸参数。通过数值方法计算了无干扰工作空间。开发了机器人原型,并进行了一系列实验来评估机器人的功能和可行性。
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引用次数: 0
A Three-Actuator Cable-Driven Parallel Robot with a Rectangular Workspace 带矩形工作空间的三执行器线缆驱动平行机器人
Pub Date : 2024-04-23 DOI: 10.1115/1.4065393
Foroogh Behroozi, Ramin Mersi, Antoine Benoist, Ru-Ying Yong, P. Cardou, Stéphane Caro
In the realm of cable-driven parallel robots (CDPRs), the conventional notion entails that each cable is directly actuated by a corresponding actuator, implying a direct relationship between the number of cables and actuators. However, this paper introduces a paradigm shift by contending that the number of cables should be contingent upon the desired workspace, while the number of actuators should align with the robot's degrees of freedom (DoF). This novel perspective leads to an unconventional design methodology for CDPRs. Instead of commencing with the number of actuators and cables in mind, we propose an approach that begins with defining the required workspace shape and determines the requisite number of cables. Subsequently, an actuation scheme is established where each actuator can drive multiple cables. This process entails the formulation of a transmission matrix that captures the interplay between actuators and cables, followed by the mechanical implementation of the corresponding cable-pulley routing. To illustrate this approach, we provide an example involving a 2-DoF CDPR aimed at covering a rectangular workspace. Notably, the resulting Wrench-Closure Workspace (WCW) and Wrench-Feasible Workspace (WFW) of the proposed designs exhibit favorable comparisons to existing CDPRs with more actuators.
在缆索驱动并联机器人(CDPRs)领域,传统观念认为每根缆索都由一个相应的致动器直接驱动,这意味着缆索数量与致动器数量之间存在直接关系。然而,本文提出了一种范式转变,认为缆线的数量应取决于所需的工作空间,而致动器的数量则应与机器人的自由度(DoF)相一致。这种新颖的观点为 CDPR 带来了一种非传统的设计方法。我们提出的方法不是一开始就考虑执行器和电缆的数量,而是从定义所需的工作空间形状开始,确定所需的电缆数量。随后,建立一个致动器方案,其中每个致动器可驱动多根电缆。在这个过程中,我们需要制定一个传输矩阵来捕捉致动器和电缆之间的相互作用,然后以机械方式实现相应的电缆滑轮布线。为了说明这种方法,我们提供了一个涉及 2-DoF CDPR 的示例,旨在覆盖一个矩形工作空间。值得注意的是,拟议设计所产生的扳手闭合工作空间(WCW)和扳手可行工作空间(WFW)与采用更多执行器的现有 CDPR 相比,表现出良好的可比性。
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引用次数: 0
期刊
Journal of Mechanisms and Robotics
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