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On the Construction of Confidence Regions for Uncertain Planar Displacements. 论不确定平面位移置信区的构建
IF 2.2 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-01 Epub Date: 2024-01-12 DOI: 10.1115/1.4064281
Zihan Yu, Qiaode Jeffrey Ge, Mark P Langer, Mona Arbab

This paper studies the statistical concept of confidence region for a set of uncertain planar displacements with a certain level of confidence or probabilities. Three different representations of planar displacements are compared in this context and it is shown that the most commonly used representation based on the coordinates of the moving frame is the least effective. The other two methods, namely the exponential coordinates and planar quaternions, are equally effective in capturing the group structure of SE(2). However, the former relies on the exponential map to parameterize an element of SE(2), while the latter uses a quadratic map, which is often more advantageous computationally. This paper focus on the use of planar quaternions to develop a method for computing the confidence region for a given set of uncertain planar displacements. Principal component analysis (PCA) is another tool used in our study to capture the dominant direction of movements. To demonstrate the effectiveness of our approach, we compare it to an existing method called rotational and translational confidence limit (RTCL). Our examples show that the planar quaternion formulation leads to a swept volume that is more compact and more effective than the RTCL method, especially in cases when off-axis rotation is present.

本文研究了一组具有一定置信度或概率的不确定平面位移的置信区域统计概念。本文比较了平面位移的三种不同表示方法,结果表明,最常用的基于运动帧坐标的表示方法效果最差。其他两种方法,即指数坐标和平面四元数,在捕捉 SE(2) 的群结构方面同样有效。不过,前者依赖指数图来对 SE(2) 的元素进行参数化,而后者则使用二次图,后者通常在计算上更有优势。本文的重点是利用平面四元数开发一种方法,用于计算给定不确定平面位移集的置信区域。主成分分析(PCA)是我们研究中使用的另一种工具,用于捕捉运动的主要方向。为了证明我们的方法的有效性,我们将其与一种名为旋转和平移置信区间(RTCL)的现有方法进行了比较。我们的实例表明,平面四元数公式所得到的扫描量比 RTCL 方法更紧凑、更有效,尤其是在存在离轴旋转的情况下。
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引用次数: 0
Redundant Serial Manipulator Inverse Position Kinematics and Dynamics 冗余串联机械手逆位置运动学与动力学
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-10 DOI: 10.1115/1.4064047
Edward J. Haug
Abstract A redundant serial manipulator inverse position kinematic mapping is employed to define a new manipulator operational space differentiable manifold and an associated system of well posed differential equations of manipulator dynamics. A review of deficiencies in the conventional generalized inverse velocity approach to manipulator redundancy resolution and a numerical example show that the generalized inverse velocity approach is incompatible with the kinematics of redundant serial manipulators. An inverse position kinematic mapping is presented with a differentiable manifold that is parameterized by either input or operational space coordinates. Differentiation of the inverse position mapping yields an inverse velocity mapping that is a total differential, in contrast with generalized inverse velocity mappings, hence avoiding the deficiencies identified. A sec-ond differentiation yields an inverse acceleration mapping that is used, without ad-hoc derivation, to obtain a system of well posed operational space ordinary differential equations of redundant manipulator dynamics that are equivalent to the equations of multibody dynamics.
摘要利用冗余序列机械臂逆位置运动学映射,定义了一个新的机械臂操作空间可微流形和相应的一组良好定姿的机械臂动力学微分方程。通过对传统广义速度反方法求解冗余度问题的不足进行分析,并通过数值算例说明广义速度反方法与冗余度系列机械臂的运动学问题不兼容。给出了一个可微流形的逆位置运动映射,该流形由输入空间坐标或操作空间坐标参数化。与广义逆速度映射相比,逆位置映射的微分产生的逆速度映射是一个总微分,因此避免了所识别的缺陷。第二次微分产生逆加速度映射,无需特别推导,即可获得冗余机械臂动力学的良好定姿操作空间常微分方程系统,该系统等效于多体动力学方程。
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引用次数: 0
Ring origami spring capable of eversion morphing 环形折纸弹簧,可伸缩变形
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-02 DOI: 10.1115/1.4063978
Yu Zou, Chen Qianying, Lu Lu, Xiying Li, Hongyuan Li, Li-Hua Shao, Huiling Duan, Pengyu Lv
Abstract Origami structures have been widely used in soft robots, mechanical metamaterials, architectural engineering and biomedical engineering in recent years, benefiting from their reconfigurable shape morphing and tunable mechanical properties through folding and unfolding. In this work, we construct a new origami structure named ring origami spring (ROS) by alternately folding two perpendicularly arranged paper ribbons with the same size and connecting two ends of them. ROS can achieve an eversion morphing with four stable states, based on which both underwater locomotion and traversing water-air interface have been implemented. Theoretical models for characterizing the eversion morphing during the transition of stable states and the induced locomotion performance of ROS have been developed, and the theoretical predictions are in good agreement with the experimental results. The current work provides a new strategy for the design of origami robots, which is potentially applied in exploring complex environments.
摘要近年来,折纸结构由于具有可重构的形状变形和可折叠可调的力学性能,在软体机器人、机械超材料、建筑工程和生物医学工程等领域得到了广泛的应用。在这项工作中,我们构造了一种新的折纸结构,称为环折纸弹簧(ROS),通过交替折叠两个垂直排列的大小相同的纸带,并连接它们的两端。ROS可以实现四种稳定状态的伸缩变形,在此基础上实现了水下运动和穿越水气界面。建立了表征稳态过渡时的外倾变形和ROS诱导运动性能的理论模型,理论预测与实验结果吻合较好。目前的工作为折纸机器人的设计提供了一种新的策略,这在探索复杂环境方面具有潜在的应用前景。
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引用次数: 0
PhyNRnet: Physics-informed Newton-Raphson Network for Forward Kinematics Solution of Parallel Manipulators 基于物理信息的牛顿-拉夫森网络并联机器人正解
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-02 DOI: 10.1115/1.4063977
Chongjian He, Wei Guo, Yanxia Zhu, Lizhong Jiang
Abstract Despite significant performance advantages, the intractable forward kinematics have always restricted the application of parallel manipulators to small posture spaces. Traditional analytical method and Newton-Raphson method usually cannot solve this problem well due to lack of generality or latent divergence. To address this issue, this study employs recent advances in deep learning to propose a novel physics-informed Newton-Raphson network (PhyNRnet) to rapidly and accurately solve this forward kinematics problem for general parallel manipulators. The main strategy of PhyNRnet is to combine the Newton-Raphson method with the neural network, which helps to significantly improve the accuracy and convergence speed of the model. In addition, to facilitate the network optimization, semi-autoregression, hard imposition of initial/boundary conditions (I/BCs), batch normalization, etc. are developed and applied in PhyNRnet. Unlike previous data-driven paradigms, PhyNRnet adopts the physics-informed loss functions to guide the network optimization, which gives the model clear physical meaning and helps improve generalization ability. Finally, the performance of PhyNRnet is verified by three parallel manipulator paradigms with large postures, where the Newton-Raphson method has generally diverged. Besides, the efficiency analysis shows that PhyNRnet consumes only a small amount of time at each time step, which meets the real-time requirements.
尽管并联机器人具有显著的性能优势,但其棘手的正运动学问题一直制约着并联机器人在小姿态空间中的应用。传统的解析方法和Newton-Raphson方法由于缺乏通用性或潜在发散性,往往不能很好地解决这一问题。为了解决这一问题,本研究利用深度学习的最新进展,提出了一种新的物理信息牛顿-拉夫森网络(PhyNRnet),以快速准确地解决一般并联机器人的正运动学问题。PhyNRnet的主要策略是将Newton-Raphson方法与神经网络相结合,这有助于显著提高模型的精度和收敛速度。此外,为了便于网络优化,在PhyNRnet中开发并应用了半自回归、初始/边界条件的硬强制(I/ bc)、批归一化等。与以往的数据驱动范式不同,PhyNRnet采用了告知物理的损失函数来指导网络优化,使模型具有明确的物理意义,有助于提高泛化能力。最后,在Newton-Raphson方法普遍存在分歧的三种大姿态并联机械臂范式中验证了PhyNRnet的性能。此外,效率分析表明,PhyNRnet在每个时间步只消耗少量的时间,满足实时性要求。
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引用次数: 0
Design of a Novel Large-Stroke Compliant Constant-Torque Mechanism Based on Chained Beam-Constraint Model 基于链梁约束模型的新型大行程柔性恒转矩机构设计
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-02 DOI: 10.1115/1.4063980
Thanh-Vu Phan, Van Men Truong, Huy-Tuan Pham, Van-Khien Nguyen
Abstract This study addressed the development of a novel compliant constant-torque mechanism (CCTM) that utilizes Bezier curved beams to provide a large stroke in the constant-torque operating range. Previous CCTMs are limited by their working stroke, which reduces their applicability. The proposed mechanism is based on an analytical model using the chained beam-constraint model (CBCM), which captures the kinetostatic behavior of flexible segments. A genetic algorithm based on the CBCM was used to obtain the optimal structure, which was then verified through finite element analysis and experimental results. The results show that the proposed CCTM provides good flatness with a deviation of 3.7% and a large stroke of 80° in the constant-torque working range, while maintaining compactness. This novel CCTM has the potential to provide a simple and effective solution for torque regulators in various applications
摘要本研究旨在开发一种新型的柔性恒转矩机构(CCTM),该机构利用贝塞尔曲线梁在恒转矩工作范围内提供大行程。以往的cctm受其工作行程的限制,降低了其适用性。所提出的机构是基于使用链梁约束模型(CBCM)的分析模型,该模型捕获了柔性段的动静力行为。采用基于CBCM的遗传算法得到了最优结构,并通过有限元分析和实验结果进行了验证。结果表明,在恒转矩工作范围内,CCTM具有良好的平整度,偏差为3.7%,行程可达80°,同时保持了紧凑性。这种新颖的CCTM有可能为各种应用中的转矩调节器提供简单有效的解决方案
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引用次数: 0
Design and Analysis of a Novel Redundant Parallel Mechanism for Long Bone Fracture Reduction 一种新型冗余并联长骨骨折复位机构设计与分析
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-02 DOI: 10.1115/1.4063981
Tingting Su, Quan Yuan, Xu Liang, Yuchen Yan, Haojian Zhang, Xianjie Jian, Guangping He, Quan-Liang Zhao
Abstract In recent years, parallel robots have become a hot research topic in trauma fracture treatment because of their high precision, high load capacity, and compact structure. However, compared with serial robots, parallel robots have disadvantages like smaller workspaces and more complex dexterity. In this paper, a novel redundant parallel mechanism (RPM) for long bone fracture reduction is proposed based on Stewart parallel mechanism (SPM). 6 kinematically redundant DOFs (Degrees of freedom) are added to the RPM. First, the kinematics of the RPM is established, and its workspace is calculated. The analysis results indicate that the position workspace of the RPM is about 19 times larger than that of the SPM. The RPM has a similar range of torsion angles as the SPM, but a more extensive range of tilt angles than the SPM. Second, the singularities of the two parallel mechanisms are compared based on the dimensionally homogeneous Jacobian matrix. The results show that the dexterity of the RPM is much better than the SPM. Third, a multi-parameter multi-objective optimization method is proposed to optimize the geometry parameters of the RPM. The statics of the RPM is analyzed by finite element analysis. To further expand the performance of the RPM, the unfixed RPM (URPM) is proposed. The analysis results show that the URPM is superior to the RPM in terms of workspace and dexterity. Finally, experiments are conducted to verify the effectiveness of the proposed methods in this paper.
近年来,并联机器人以其精度高、承载能力强、结构紧凑等优点成为创伤骨折治疗领域的研究热点。然而,与串联机器人相比,并联机器人存在工作空间小、灵巧性复杂等缺点。基于Stewart并联机构(SPM),提出了一种用于长骨骨折复位的冗余并联机构。6个运动冗余自由度(自由度)被添加到RPM。首先,建立RPM的运动学模型,计算其工作空间;分析结果表明,RPM的位置工作空间约为SPM的19倍。RPM具有与SPM相似的扭转角范围,但倾斜角范围比SPM更广。其次,基于齐次雅可比矩阵,比较了两种并联机构的奇异性;结果表明,RPM的灵巧性明显优于SPM。第三,提出了一种多参数多目标优化方法,对转速的几何参数进行优化。采用有限元方法对转矩器的静力学进行了分析。为了进一步扩展RPM的性能,提出了不固定RPM (unfixed RPM, URPM)。分析结果表明,URPM在工作空间和灵巧性方面优于RPM。最后,通过实验验证了本文方法的有效性。
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引用次数: 0
Optimal Concentric Tube Robot Design for Safe Intracerebral Hemorrhage Removal 安全脑出血清除同心管机器人优化设计
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-11-02 DOI: 10.1115/1.4063979
Zhefeng Huang, Hussain Alkhars, Anthony Gunderman, Dimitri Sigounas, Kevin Cleary, Yue Chen
Abstract Purpose: The purpose of this paper is to investigate the geometrical design and path planning of Concentric tube robots (CTR) for intracerebral hemorrhage (ICH) evacuation, with a focus on minimizing the risk of damaging white matter tracts and cerebral arteries. Methods: To achieve our objective, we propose a parametrization method describing a general class of CTR geometric designs. We present mathematical models that describe the CTR design constraints and provide the calculation of a path risk value. We then use a genetic algorithm to determine the optimal tube geometry for targeting within the brain. Results: Our results show that a multi-tube CTR design can significantly reduce the risk of damaging critical brain structures compared to the conventional straight tube design. However, there is no significant relationship between the path risk value and the number and shape of the additional inner curved tubes. Conclusion: Considering the challenges of CTR hardware design, fabrication, and control, we conclude that the most practical geometry for a CTR path in ICH treatment is a straight outer tube followed by a planar curved inner tube. These findings have important implications for the development of safe and effective CTRs for ICH evacuation by enabling dexterous manipulation to minimize damage to critical brain structures.
摘要目的:探讨同心管机器人(CTR)用于脑出血(ICH)手术的几何设计和路径规划,以最大限度地降低脑白质束和脑动脉损伤的风险。方法:为了达到我们的目标,我们提出了一种描述一般类型的CTR几何设计的参数化方法。我们提出描述CTR设计约束的数学模型,并提供路径风险值的计算。然后,我们使用遗传算法来确定大脑内瞄准的最佳管道几何形状。结果:我们的研究结果表明,与传统的直管设计相比,多管CTR设计可以显著降低脑关键结构损伤的风险。然而,路径风险值与附加内弯管的数量和形状之间没有显著的关系。结论:考虑到CTR硬件设计,制造和控制的挑战,我们得出结论,在ICH治疗中,CTR路径最实用的几何形状是直外管,然后是平面弯曲的内管。这些发现对于开发安全有效的颅脑出血疏散CTRs具有重要意义,通过灵巧的操作可以最大限度地减少对关键脑结构的损伤。
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引用次数: 0
A Mirrored Approach to Generate Spatial Deployable Assemblies using Tripod-scissor Units 使用三脚架-剪刀单元生成空间可展开组件的镜像方法
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063872
Yuan Liao, Sudarshan Krishnan
Abstract A tripod-scissor unit, unlike planar scissor pairs, consists of three rods connected at an intermediate joint thus forming a spatially transformable unit. Geometrically, a tripod-scissor unit is axisymmetric but does not possess reflectional symmetry. This paper proposes a mirrored assembly approach wherein two units are connected symmetrically about the mirroring plane. The assembly approach results in different geometric conditions and motion characteristics. Two types of four-unit deployable blocks were made – one out of straight and the other of angulated members. Design equations were developed to study the influence of member geometry and assembly method on the structure's form and transformation. Digital models helped to validate the analytical results and to simulate the motion of the structures. More sample structures are presented to demonstrate the assembly of multiple units using the mirrored approach. The analysis shows that the mirrored assembly tripod-scissors result in a new generation of mechanisms with different transformation characteristics. Closed polyhedral forms with a high expansion ratio are possible.
与平面剪刀对不同的是,三脚架-剪刀单元由三根在中间关节连接的杆组成,从而形成一个空间可变换的单元。几何上,三脚架-剪刀单元是轴对称的,但不具有反射对称。本文提出了一种镜像装配方法,其中两个单元在镜像平面上对称连接。装配方式导致不同的几何条件和运动特性。制作了两种类型的四单元可展开块-一种是直的,另一种是有角的成员。建立了设计方程,研究了构件几何形状和装配方式对结构形态和变形的影响。数字模型有助于验证分析结果并模拟结构的运动。更多的样本结构被提出,以演示使用镜像方法的多个单元的组装。分析表明,镜像装配三脚架-剪子形成了具有不同变换特性的新一代机构。具有高膨胀比的封闭多面体是可能的。
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引用次数: 0
Design, performance analysis, and experiments of a soft robot for rescue 救援用软体机器人的设计、性能分析与实验
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063669
Tao Wen, Junfeng Hu, Jun Zhang, Xian Li, Sheng Kang, Ning Zhang
Abstract In the narrow and irregular environment of the ruins, the existing rescue robots are struggling to achieve their performance. Inspired by the process of termite predation by giant anteaters, we propose a soft rescue robot that utilizes motion propulsion similar to gear meshing and the adaptability of a continuum manipulator. The robot, consisting of a soft continuum manipulator and driving equipment, has the characteristics of fast propulsion and adaptation to unstructured environments. The driving device can give the manipulator a maximum speed of 14.67 cm/s and a propulsive force of 19.20 N. With the flexibility of the soft robot, the soft manipulator can adapt to the environment under propulsion to pass obstacles. The experiments of self-adaptability performance tests under different conditions show that the robot can pass over obstacles with an angle of up to 80.57 deg between its axis and the contact surface. In the actual ruin experiment, the robot could penetrate 1.3 m deep in the narrow passage formed by the bricks with the mode. The experiment indicates the presented rescue robot design's feasibility. Our work could contribute to the research on the interaction of soft robots with their environment.
在狭窄而不规则的废墟环境中,现有的救援机器人难以达到其性能。受巨型食蚁兽捕食白蚁过程的启发,我们提出了一种利用类似齿轮啮合的运动推进和连续体机械臂的适应性的软救援机器人。该机器人由柔性连续机械臂和驱动装置组成,具有快速推进和适应非结构化环境的特点。驱动装置可使机械手的最大速度为14.67 cm/s,推进力为19.20 n。软机器人的灵活性使其能够适应推进下的环境,通过障碍物。不同条件下的自适应性能测试实验表明,该机器人可以通过其轴线与接触面夹角达80.57°的障碍物。在实际废墟实验中,机器人可以在由砖块形成的狭窄通道中穿透1.3 m深。实验表明了所设计的救援机器人的可行性。我们的工作有助于研究软机器人与环境的相互作用。
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引用次数: 0
Kinematic Performance Analysis and Dimensional Optimization of New Symmetric Parallel Mechanism 6RPS with Multi-Redundant Actuations 多冗余驱动新型对称并联机构6RPS的运动性能分析及尺寸优化
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063873
Xiaofei Liu, Bo Wan, Yu Liu, Ran Chen, Jiantao Yao, Yongsheng Zhao
Abstract A new symmetric parallel mechanism 6RPS with multi-redundant actuations is proposed in this paper, which possesses two rotational and one translational degrees of freedom. Motion and constraint screw systems of this mechanism are established and then character of the freedom is analyzed. Transmission performance indexes are established, and dimension optimization is operated by considering the distribution of transmission performance. Whole quality posture space and performance distribution are analyzed with optimal dimension. Motion interference condition of the mechanism is studied, and accessible posture space are analyzed by combining joint space restriction. A comprehensive performance comparison with a counterpart configuration is exhibited. Research results of this paper are of reference significance for both the research of parallel mechanism with two rotational and one translational degrees of freedom, and the application of mechanism 6RPS.
摘要提出了一种具有两个转动自由度和平移自由度的多冗余驱动对称并联机构6RPS。建立了该机构的运动和约束螺杆系统,并对其自由度特性进行了分析。建立了传动性能指标,并在考虑传动性能分布的基础上进行了量纲优化。用最优维数分析了整体质量姿态空间和性能分布。研究了机构的运动干扰条件,结合关节空间限制分析了可达姿态空间。展示了与对应配置的综合性能比较。本文的研究成果对于两转动一平移并联机构的研究以及机构6RPS的应用都具有一定的参考意义。
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引用次数: 0
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Journal of Mechanisms and Robotics-Transactions of the Asme
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