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Dynamics of a Parallel-kinematics Machine with Six Pairs of Offset Joints 六对偏置关节并联机构动力学研究
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-18 DOI: 10.1115/1.4062984
Ha-si-ao-qi-er Han, J. Angeles
The authors propose a systematic formulation of the dynamics of the 6-P-RR-R-RR parallel-kinematics machine (PKM) with offset RR-joints. The kinematics of the same system is reported in an accompanying paper. Based on the kinematics model developed in the former, the dynamics model of the limb-chain is derived using the Newton-Euler equations. Then, the constraint wrenches in the governing equations of the limb-chain are eliminated with the aid of the natural orthogonal complement (NOC). This is the twist-shaping matrix, which maps the joint-rate array of the limb-chain into the twist array of the PKM. Furthermore, the dynamics model of the whole PKM with offset joints is formulated. Moreover, the actuator forces are obtained. Finally, upon validation via simulation, the dynamics model is proven to be both precise and effective.
作者提出了具有偏置RR关节的6-P-RR-R-RR并联运动学机器(PKM)动力学的系统公式。同一系统的运动学在随附的论文中进行了报道。在前人建立的运动学模型的基础上,利用牛顿-欧拉方程建立了肢链的动力学模型。然后,借助于自然正交补码(NOC)消除了肢链控制方程中的约束扳手。这是扭曲成形矩阵,它将肢体链的关节速率阵列映射到PKM的扭曲阵列中。此外,建立了具有偏置关节的PKM的动力学模型。此外,获得了致动器力。最后,通过仿真验证,动力学模型被证明是精确有效的。
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引用次数: 0
Mechanically-prestressed pneumatically-driven bistable soft actuators 机械预应力气动双稳态软致动器
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-11 DOI: 10.1115/1.4062949
Yitong Zhou, Zefeng Xu
Bistable soft robots are gaining momentum for their fast speed. This study presents a novel asymmetric mechanically-prestressed, pneumatically-driven, bistable laminated soft actuator. Its two orthogonal stable shapes are created by prestretching two orthogonal elastomer matrix composites (EMCs) before bonding them to a thin core layer. Two fluidic layers with fluid channels are bonded on either side of the core layer to actuate and trigger the snap-through process of the actuator. An analytical model is proposed as follows: the actuator net energy is calculated based on polynomials with unknown coefficients, and the stable shapes of the actuator are computed as a result of pneumatic pressure and external loads with the Rayleigh-Ritz method. Bistable actuators are fabricated with different prestrains, and motion capture and tensile loading experiments are conducted for model validation. A gripper is fabricated with two bistable actuators and demonstrated to grasp a variety of objects. Sensitivity studies are performed to identify the actuator response as a function of a variety of design parameters.
双稳态软机器人因其快速而获得动力。本研究提出了一种新型的非对称机械预应力、气动驱动、双稳态叠层软致动器。它的两个正交稳定形状是通过在将两个正交弹性体基体复合材料(EMCs)粘合到薄芯层之前预拉伸而形成的。具有流体通道的两个流体层结合在芯层的任一侧,以致动和触发致动器的卡扣过程。提出了一个分析模型:基于未知系数多项式计算致动器净能量,并使用瑞利-里兹方法计算致动器在气压和外部载荷作用下的稳定形状。利用不同的预应变制作了双稳态执行器,并进行了运动捕捉和拉伸加载实验以进行模型验证。夹具由两个双稳态致动器制成,并被证明可以抓取各种物体。进行灵敏度研究,以确定作为各种设计参数的函数的致动器响应。
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引用次数: 1
A Reduced Mass-Spring-Mass Model of Compliant Robots Dedicated to the Evaluation of Impact Forces 用于评估冲击力的柔顺机器人质量-弹簧-质量简化模型
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-11 DOI: 10.1115/1.4062946
Guillaume Jeanneau, Vincent Bégoc, S. Briot
The introduction of intrinsic compliance in the design of robots allows to reduce the inherent risk for humans working in the vicinity of a robotic cell. Indeed, it permits to decouple the dynamic effects of the links' inertia from those of the rotors' inertia, thus reducing the maximum impact force. However, robot designers are lacking modeling tools to help simulate numerous collision scenarios, analyze the behaviour of a compliant robot and optimize its design. In this article, we introduce a method to reduce the model of a multi-link compliant robot in a simple translationnal mass-spring-mass system. Simulation results show that this reduced model allows to accurately predict the maximal impact force in the case of a collision with a constrained human body part, and thus estimate the severity of such collision. Multiple impact scenarios are conducted on two case-studies, a planar serial elastic robot and the R-Min robot, an underactuated parallel planar robot, designed for collaboration.
在机器人设计中引入内在遵从性可以减少在机器人单元附近工作的人类的固有风险。事实上,它允许将连杆惯性的动态影响与转子惯性的动态影响解耦,从而减小最大冲击力。然而,机器人设计师缺乏建模工具来帮助模拟大量的碰撞场景,分析柔性机器人的行为并优化其设计。本文介绍了一种简化平移质量-弹簧-质量系统中多连杆柔顺机器人模型的方法。仿真结果表明,该简化模型能够准确预测人体部位受约束碰撞时的最大撞击力,从而估计碰撞的严重程度。以平面串联弹性机器人和欠驱动并联平面机器人R-Min为研究对象,进行了多碰撞场景分析。
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引用次数: 0
A new error compensation method for Delta robots combining geometric error modeling with spatial interpolating 三角洲机器人几何误差建模与空间插值相结合的误差补偿新方法
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-11 DOI: 10.1115/1.4062947
Jianwei Ma, Yabin Shen, Shumei Zhang, Hui-Teng Yan, Zhenyuan Jia
Robots are playing an important role in precision manufacturing and automated inspection, which places higher demands on the positioning accuracy. The Delta robot is the most widely used parallel robot with high speed and small cumulative error. In this way, improving the positioning accuracy of the Delta robot can expand its application scenarios. According to the parameter mapping relationship, the position error can be divided into geometric error and non-geometric error. Considering the influence of the orientation errors on the actual position of the robot end, an error model to recognize the geometric error is established, and the parameter identification is performed based on an iterative approach. For the non-geometric error, the 3D annular sector grid division method and the interpolation rule are established based on the error similarity. And then, a new error compensation method for Delta robots is proposed by combining geometric error modeling with spatial interpolating. After compensation, the positioning accuracy of the Delta robot is improved significantly. The maximum absolute positioning error of the robot is reduced by 86.08% from 2.084 mm to 0.290 mm, the average absolute positioning error of the robot is reduced by 81.77% from 0.790 mm to 0.144 mm, and the error trend in the workspace is eliminated, so as to enable the expansion of Delta robot applications.
机器人在精密制造和自动化检测中发挥着重要作用,对定位精度提出了更高的要求。德尔塔机器人是应用最广泛的并联机器人,速度快,累积误差小。通过这种方式,提高德尔塔机器人的定位精度可以扩展其应用场景。根据参数映射关系,位置误差可分为几何误差和非几何误差。考虑到方位误差对机器人末端实际位置的影响,建立了识别几何误差的误差模型,并基于迭代方法进行了参数识别。对于非几何误差,基于误差相似性,建立了三维环形扇形网格划分方法和插值规则。然后,将几何误差建模与空间插值相结合,提出了一种新的三角洲机器人误差补偿方法。经过补偿后,三角洲机器人的定位精度显著提高。机器人的最大绝对定位误差从2.084mm减少到0.290mm,减少了86.08%,机器人的平均绝对定位误差由0.790mm减少到0.144mm,减少了81.77%,消除了工作空间中的误差趋势,从而使德尔塔机器人的应用得以扩展。
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引用次数: 0
Enhancing Kinematic Calibration Accuracy for Parallel Manipulators Based on Truncated Total Least Square Regularization 基于截断全最小二乘正则化提高并联机器人运动学标定精度
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-11 DOI: 10.1115/1.4062948
Shengqi Jian, Hao Xiong, Xiansheng Yang, Y. Lou
This paper proposes a novel kinematic calibration method to address the ill-conditioned identification matrix problem and enhance the accuracy of Parallel Manipulators (PMs). The kinematic calibration method applies the Truncated Total Least Squares (T-TLS) regularization method to the inverse kinematic calibration of PMs and doesn't have the unit inconsistency issue and configuration selection issue. The performance of the T-TLS method in the inverse kinematic calibration of PMs that have the ill-conditioned identification matrix problem is compared to that of classical regularization methods, including the Truncated Singular Value Decomposition (TSVD) method and Tikhonov method, in simulations. Then, the kinematic calibration method is applied to a 3- PSS/S spherical PM prototype in the real world. For the 3- PSS/S spherical PM prototype, the kinematic calibration method can reduce the absolute angular errors of the end-effector from over 1.0 deg before calibration to less than 0.1 deg after calibration.
为了解决并联机器人辨识矩阵的病态问题,提高并联机器人的精度,提出了一种新的运动学标定方法。运动学标定方法将截尾总最小二乘(T-TLS)正则化方法应用于电机的运动学逆标定,不存在单元不一致问题和构型选择问题。在仿真中,将T-TLS方法与经典正则化方法(包括截断奇异值分解(TSVD)方法和Tikhonov方法)在具有病态辨识矩阵问题的pmms逆运动学标定中的性能进行了比较。然后,将运动学标定方法应用于实际的3- PSS/S球形永磁样机。对于3- PSS/S球形永磁样机,该方法可将末端执行器的绝对角度误差从标定前的大于1.0°减小到标定后的小于0.1°。
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引用次数: 0
Kinematical approach to the drilling mechanisms for n-sided polygonal holes n面多边形孔钻削机构的运动学研究
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-10 DOI: 10.1115/1.4062914
F. Sorge
The present analysis addresses the generation of regular polygonal paths with any number of sides, odd or even, using special rotors revolving with uniquely prescribed motions inside fixed guidance polygons, which are coincident or similar to the trajectories to be traced. The whole rotation motion of the rotor is considered composed of a succession of Cardan motions so that the active profile of contact is formed by a polycentric sequence of circular arcs. It is shown and proved that the guidance polygon and the target polygon may coincide in the hypothesis of an odd number n of sides, whereas the guidance profile must necessarily be larger than the one to be generated for n even, in which case two equal concentric polygons rotated of θ/n between each other may be simultaneously generated by two particular points of the rotors. These devices are very useful to drill blind polygonal holes, providing the rotors of proper cutting tools and driving them by constant-speed motors through homokinetic joints.
目前的分析解决了正多边形路径的生成,有任意数量的边,奇数或偶数,使用特殊的转子旋转的唯一规定的运动在固定的引导多边形内,这是一致的或类似的轨迹要跟踪。转子的整个旋转运动被认为是由一系列的卡尔当运动组成的,因此接触的主动轮廓是由一个多中心圆弧序列形成的。证明了在边数为奇数n的假设条件下,制导多边形和目标多边形可以重合,而当边数为偶数时,制导轮廓线必须大于生成的轮廓线,在这种情况下,转子的两个特定点可以同时生成两个彼此以θ/n的速度旋转的相等的同心多边形。这些装置是非常有用的钻盲多角形孔,提供适当的切削工具的转子,并通过等速电机通过匀速关节驱动它们。
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引用次数: 0
Multi-Furcation Variations of Two Novel Double-Centered Mechanisms Based on Higher Order Kinematic Analyses and Singular Value Decomposition 基于高阶运动学分析和奇异值分解的两种新型双中心机构的多分叉变异
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-10 DOI: 10.1115/1.4062915
Zhao Tang, J. Dai
This paper explores a class of extended double-centered linkages and presents two novel multi-bifurcated double-centered metamorphic and reconfigurable mechanisms. Higher order kinematic analyses and singular value decomposition are combined to demonstrate the characteristics of multi-furcation and to reveal motion-branch transformation. These findings show that the presented double-centered linkages are able to evolve to distinct motion branches including two spherical 4R linkages, linesymmetric Bricard linkage or Bennett linkage. Furthermore, by exploring the local properties of singular configurations on geometric constraints and algebraic relationships, a systematic approach for the synthesis of the singular configurations can be designed to discover more novel multi-bifurcated metamorphic and reconfigurable mechanisms.
研究了一类扩展双中心连杆机构,提出了两种新的多分叉双中心变质可重构机构。将高阶运动分析与奇异值分解相结合,展示了多分形的特点,揭示了运动分支变换。这些结果表明,所提出的双中心连杆机构能够演化为不同的运动分支,包括两个球面4R连杆机构、线对称Bricard连杆机构或Bennett连杆机构。此外,通过探索奇异构型在几何约束和代数关系上的局部性质,可以设计一种系统的方法来综合奇异构型,从而发现更多新颖的多分叉变质和可重构机构。
{"title":"Multi-Furcation Variations of Two Novel Double-Centered Mechanisms Based on Higher Order Kinematic Analyses and Singular Value Decomposition","authors":"Zhao Tang, J. Dai","doi":"10.1115/1.4062915","DOIUrl":"https://doi.org/10.1115/1.4062915","url":null,"abstract":"\u0000 This paper explores a class of extended double-centered linkages and presents two novel multi-bifurcated double-centered metamorphic and reconfigurable mechanisms. Higher order kinematic analyses and singular value decomposition are combined to demonstrate the characteristics of multi-furcation and to reveal motion-branch transformation. These findings show that the presented double-centered linkages are able to evolve to distinct motion branches including two spherical 4R linkages, linesymmetric Bricard linkage or Bennett linkage. Furthermore, by exploring the local properties of singular configurations on geometric constraints and algebraic relationships, a systematic approach for the synthesis of the singular configurations can be designed to discover more novel multi-bifurcated metamorphic and reconfigurable mechanisms.","PeriodicalId":49155,"journal":{"name":"Journal of Mechanisms and Robotics-Transactions of the Asme","volume":" ","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42402392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modeling Method for Static Large Deflection Problem of Curved Planar Beams in Compliant Mechanisms Based on a Novel Governing Equation 基于新控制方程的柔顺机构平面曲梁静态大挠度建模方法
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-10 DOI: 10.1115/1.4062916
Jingyu Jiang, Song Lin, Hanchao Wang, N. Modler
Slender beams serve as typical flexible components to transfer motion, force, and energy in compliant mechanisms (CMs). Therefore, the accurate and efficient kinetostatic modeling for the slender beams are highly needed in the synthesis and analysis of compliant mechanisms. Several impressive and great modeling methods have been completed by the pioneering researchers based on the governing equation of slender beams, which can solve the deflection of the beam while the beam-tip loads are known. However, parts of the beam-tip loads are unknown in some scenarios and the traditional governing equation becomes inefficient in these scenarios. The aim of this paper is to propose a novel modeling method for the compliant mechanism, which can solve the large deflection problem without iterative algorithm. In this research, a novel governing equation of slender beams has been established based on the Castigliano&s principle and simplified by the differential geometry. In the proposed governing equation, the statically force equilibrium equations and geometric constraint equations between different slender beams can be established in the boundary conditions, so the model of compliant mechanisms can be solved directly even if parts of the beam's tip loads and displacements are unknown. The proposed governing equation provides the deformed shapes and cross-sectional loads of the slender beams, which help the designer to check the mechanical interference and strength in the design process. The numerical examples are presented to demonstrate the feasibility of proposed method.
细长梁作为典型的柔性构件,在柔性机构(CMs)中传递运动、力和能量。因此,在柔性机构的综合与分析中,对细长梁进行准确、高效的动静力建模是十分必要的。在已知梁端载荷的情况下,基于细长梁的控制方程,研究人员已经完成了一些令人印象深刻和伟大的建模方法。然而,在某些情况下,部分波束尖端载荷是未知的,传统的控制方程在这些情况下变得低效。本文的目的是提出一种新的柔顺机构建模方法,该方法可以解决大挠度问题,而无需迭代算法。本文基于卡斯蒂利亚诺原理建立了细长梁的控制方程,并用微分几何方法进行了简化。在所提出的控制方程中,可以在边界条件下建立不同细长梁之间的静力平衡方程和几何约束方程,从而在梁的部分端部载荷和位移未知的情况下直接求解柔性机构模型。所提出的控制方程提供了细长梁的变形形状和截面荷载,有助于设计者在设计过程中校核机械干涉和强度。数值算例验证了该方法的可行性。
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引用次数: 0
Numerical and Experimental Study on Caudal Fin Oscillation Mode in Hemispherical Space 半球空间尾鳍振荡模式的数值与实验研究
IF 2.6 4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-28 DOI: 10.1115/1.4062862
Shuyan Wang, Yunqi Han, Zhiming Wu, Zhiliang Huang
Attaining multidimensional movements, such as cruising, diving, and turning, is a crucial challenge in the development of bionic robotic fish. When only focusing on caudal fin movements, the caudal fin of a tuna generates significant lateral and propulsive forces and weak lift, while in contrast, the caudal fin of a dolphin generates significant lift and propulsive forces and weak lateral forces. The paper introduces a novel caudal fin oscillation mode for the hemispherical space, which extends the caudal fin oscillation features observed in tuna and dolphin to a broader range of organisms. Firstly, we presented the concept of hemispherical space caudal fin oscillation mode, and demonstrated the principle of lift distribution through theoretical calculations. Moreover, we detailed the force distribution obtained by the robotic fish under different caudal fin oscillation modes through numerical simulations. Finally, we experimentally validated the feasibility of the hemispherical space caudal fin oscillation mode. The results indicate that by modifying the oscillation mode of the caudal fin in bionic robotic fish, it is possible to distribute the lift generated by the fin movement to various forces that aid in achieving multidimensional movement, including propulsive, lateral, and lift forces.
实现巡航、潜水和转弯等多维运动是仿生机器鱼发展的一个关键挑战。当只关注尾鳍运动时,金枪鱼的尾鳍会产生显著的侧向力和推进力,而升力较弱,而相比之下,海豚的尾鳍则产生显著的升力和推进力以及较弱的侧向力。本文介绍了一种新的半球空间尾鳍振荡模式,将在金枪鱼和海豚身上观察到的尾鳍振荡特征扩展到更广泛的生物体。首先,我们提出了半球空间尾鳍振荡模式的概念,并通过理论计算证明了升力分布的原理。此外,我们还通过数值模拟详细描述了机器鱼在不同尾鳍振荡模式下的受力分布。最后,我们通过实验验证了半球空间尾鳍振荡模式的可行性。结果表明,通过改变仿生机器鱼尾鳍的振荡模式,可以将鳍运动产生的升力分配给各种力,以帮助实现多维运动,包括推进力、侧向力和升力。
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引用次数: 0
A Variable Stiffness Sole for Biped Robot and Its Experimental Verification 双足机器人变刚度鞋底及其实验验证
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-26 DOI: 10.1115/1.4062650
Junyeon Namgung, Yun-Ho Han, Baek-Kyu Cho
Abstract The foot sole of the biped robot is an important factor for stable walking. In this study, the limitations of existing bipedal robot soles are introduced and the necessity for the development of a new sole mechanism is presented. Inspired by a robot sole based on the granular jamming effect, we have developed a variable stiffness sole (VSS), which adapts to the shape of obstacles on the ground in compliant mode and provides robust support in stiff mode. Finally, the performance of the VSS is verified by several experiments integrating the VSS with the real humanoid robot platform RoK-3. The experimental results verified that the VSS is advantageous in uneven terrain walking.
摘要双足机器人的脚底是稳定行走的重要因素。在这项研究中,介绍了现有双足机器人鞋底的局限性,并提出了开发一种新的鞋底机构的必要性。受基于颗粒干扰效应的机器人鞋底的启发,我们开发了一种可变刚度鞋底(VSS),它在柔顺模式下适应地面障碍物的形状,在僵硬模式下提供强大的支撑。最后,将VSS与真实的仿人机器人平台RoK-3相结合,通过多次实验验证了VSS的性能。实验结果验证了VSS在不平坦地形下行走的优越性。
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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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