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Performance Analysis and Optimal Design of a Novel Schöenflies-Motion Asymmetric Parallel Mechanism 一种新型Schöenflies-Motion非对称并联机构性能分析与优化设计
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-17 DOI: 10.1115/1.4062149
Wei Zhu, Xueyang Zhu, Zhiyuan Ma, Huiping Shen
Since previous studies of parallel mechanisms (PMs) have tended to favor symmetrical overall configuration to obtain relatively stable kinematic and dynamic performance and to satisfy isotropic requirements. The analysis of kinematic and dynamic performance of asymmetric mechanisms has been an issue of interest. In this paper, an asymmetric SCARA-type PM with 4 degrees-of-freedom (DOF) is proposed. First, the orientation characteristic set is calculated to obtain the DOF of the PM. Then, the inverse kinematics and the velocity and acceleration of each branch chain of the mechanism is analyzed. The dynamic model of the mechanism is established according to the principle of virtual work. The workspace of the mechanism is drawn according to the constraints that have been given to the mechanism's kinematic pairs. The singularity, dexterity, motion/force transfer performance and maximum acceleration performance of the mechanism are also analyzed. On this basis, the kinematic and dynamic performance evaluation indexes of the mechanism are studied. Finally, the workspace and acceleration performance of the mechanism are optimized based on the differential evolution algorithm (DE) to obtain the structural parameters when the mechanism achieves optimal performance. The asymmetric PM proposed in this paper, as well as the algorithm of performance index and optimization method used can provide some reference value for configuration design and optimization analysis.
由于以往对并联机构的研究倾向于采用对称的整体结构,以获得相对稳定的运动和动力学性能,并满足各向同性的要求。非对称机构的运动学和动力学性能分析一直是人们感兴趣的问题。提出了一种具有4自由度的非对称scara型永磁机构。首先,计算方向特征集,得到PM的自由度;然后,分析了机构的逆运动学和各分支链的速度和加速度。根据虚功原理,建立了机构的动力学模型。根据给定机构运动副的约束条件绘制机构的工作空间。分析了机构的奇异性、灵巧性、运动/力传递性能和最大加速度性能。在此基础上,研究了机构的运动学和动力学性能评价指标。最后,基于差分进化算法(DE)对机构的工作空间和加速性能进行优化,得到机构达到最优性能时的结构参数。本文提出的非对称PM,以及所采用的性能指标算法和优化方法,可以为配置设计和优化分析提供一定的参考价值。
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引用次数: 0
Designing and Analyzing Multistable Mechanisms Using Quadrilateral Boundary Rigid Origami 基于四边形边界刚性折纸的多稳定机构设计与分析
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-13 DOI: 10.1115/1.4062132
Mun-jae Lee, Yuki Miyajima, Tomohiro Tachi
Multistable origami and its snapping behaviors between the folded states have attracted scientists' and engineers' attention as the building block for the design of mechanical devices and metamaterials. We propose a novel method for designing origami-based multistable structures, by which we mean (1) to obtain the prescribed overall motion and (2) to control the stiffness of snapping provided by the elastic strain. We solve this design problem by first representing the desired motion with linkage structures with quadrilateral holes, called the frames, and then filling the frames with origami modules, called quadrilateral boundary modules. By introducing an intentional incompatibility between the motions of the frames and the modules, we design the snapping behavior that follows the linkage motion. We provide the representation model to evaluate the incompatibility and propose an optimization-based framework for the design. We also validate our design applied to a Sarrus-linkage through bar-and-hinge analysis and experiments using physical prototypes.
多稳态折纸及其在折叠状态之间的断裂行为作为机械设备和超材料设计的基石,吸引了科学家和工程师的注意。我们提出了一种设计基于折纸的多稳态结构的新方法,我们的意思是(1)获得规定的整体运动,(2)控制弹性应变提供的卡扣刚度。我们解决这个设计问题的方法是,首先用带有四边形孔的连杆结构表示所需的运动,称为框架,然后用折纸模块填充框架,称为四边形边界模块。通过在框架和模块的运动之间引入有意的不兼容性,我们设计了连杆运动之后的捕捉行为。我们提供了表示模型来评估不兼容性,并提出了一个基于优化的设计框架。我们还通过杆和铰链分析以及使用物理原型的实验验证了我们的设计应用于Sarrus连杆。
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引用次数: 0
Three-dimensional Mobile Assemblies based on Threefold-symmetric Bricard Linkages 基于三重对称Bricard连杆的三维移动装配
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-13 DOI: 10.1115/1.4062131
Xiao Zhang, Xin Zhou, Ming Li, Tianming Liu, Jian Xing, Weilin Lv, Fufu Yang, Yan Chen
Multiple mobile assemblies have been created based on two-dimensional tessellations of linkages for deployable structures. However, few three-dimensional tessellations of linkages have been created, especially mobile assemblies with bifurcation. Here, we proposed four types of mobile assemblies of kaleidocycles, a special type of threefold-symmetric Bricard linkages, based on cubic cellulation and symmetry. Kinematic analysis of them is carried out based on the matrix method and numerical method. Two assemblies have bifurcations with two motion paths following cuboid symmetry and tetrahedral symmetry, respectively. Meanwhile, the other two have one motion path with single degree of freedom. The designing process facilitates the creation of new mobile assemblies under symmetry and the four assemblies have the potential application for designing metamaterials.
基于可展开结构连杆的二维镶嵌,已经创建了多个移动组件。然而,很少创建连杆的三维镶嵌,尤其是具有分叉的移动部件。在这里,我们提出了四种类型的万花筒移动组件,这是一种基于立方体细胞化和对称性的特殊类型的三重对称Bricard连杆。采用矩阵法和数值法对其进行了运动学分析。两个组件具有分叉,两个运动路径分别遵循长方体对称和四面体对称。同时,其他两个具有单一自由度的运动路径。设计过程有助于在对称条件下创建新的移动组件,这四个组件具有设计超材料的潜在应用。
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引用次数: 0
EMBEDDED LINEAR-MOTION DEVELOPABLE MECHANISMS ON CYLINDRICAL SURFACES 圆柱形表面上的嵌入式直线运动可展机构
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-13 DOI: 10.1115/1.4062133
Jacob Sheffield, Brandon Sargent, L. Howell
This work introduces methods of developing embedded straight-line and linear-motion mechanisms on right circular cylinders. Developable surfaces, particularly right circular cylinders, are the manufactured embodiment of many products. Functional linkages are traditionally not geometrically constrained to a body and often dictate the final shape of the housing they reside in. This work explores the idea of mapping straight-line and linear-motion mechanisms onto cylinders for practical design purposes. Potential applications for when an embedded cylindrical developable mechanism capable of deployment and generation of linear motion would be useful are discussed. An in vivo wiper mechanism to clean obstructed laparoscope lenses during surgery is investigated to physically demonstrate the concepts introduced in the paper and to illustrate an example application.
本文介绍了在右圆柱上开发嵌入式直线和直线运动机构的方法。可展曲面,特别是右圆柱,是许多产品的制造体现。传统上,功能连接不受形体的几何限制,通常决定了它们所居住的房屋的最终形状。这项工作探讨了将直线和直线运动机构映射到圆柱体上的实际设计目的。讨论了嵌入式圆柱可展机构的潜在应用,该机构能够展开和产生线性运动。研究了一种在手术过程中清洁腹腔镜透镜阻塞的体内刮水机制,以物理地演示本文介绍的概念并举例说明应用实例。
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引用次数: 0
Design and implementation of a synergy-based cable-driven humanoid arm with variable stiffness 基于协同的变刚度索驱动类人机械臂的设计与实现
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-13 DOI: 10.1115/1.4062130
Hang Xiao, Jianyin Tang, Shengnan Lyu, Kun Xu, Xilun Ding
Cable-driven arms have the advantages of light weight, large workspace, good compliance, high speed and acceleration. This paper proposes a cable-driven variable stiffness humanoid arm that can reproduce typical daily postures of the upper limb with a few actuators via kinematic synergy. A kinematic model of the arm is established to obtain the design parameters corresponding to different postures. The dimension reduction of the actuation is realized through a synergy analysis of the driving cables. A coupling actuation mechanism is designed to reduce the number of actuators required to generate specific postures of the arm via cables. Optimization of the geometric parameters of the joints is conducted to improve the posture reproduction accuracy. The stiffness of the arm could be regulated by adjusting the cable tension. Stiffness modeling of the joint is performed to evaluate the influence of cable tension. A prototype of the arm is designed. The workspace is analyzed under the actuation of the designed coupling mechanism. The transformation among the targeted postures is simulated to validate the feasibility of the actuation dimension reduction design of the arm. Robustness analysis is conducted which indicates the use of synergic actuation weakens the arm robustness. With the proposed dimension reduction method, the actuation dimensions are reduced from 9 to 4, which leads to the diminution of reachable workspace and manipulability. The reproduction accuracy of the targeted postures is 90.4%. The proposed method can be applied to the dimension reduction designs of other cable-driven robots.
电缆驱动臂具有重量轻、工作空间大、顺应性好、速度和加速度高等优点。本文提出了一种钢丝绳驱动的变刚度类人机械臂,该机械臂可以通过运动协同的方式再现上肢典型的日常姿势。建立了机械臂的运动学模型,得到了不同姿态下机械臂的设计参数。通过对驱动索的协同分析,实现了作动机构的降维。设计了一个耦合驱动机构,以减少通过电缆产生手臂特定姿势所需的执行器数量。对关节几何参数进行优化,提高姿态再现精度。可以通过调节钢索张力来调节臂的刚度。对节点进行了刚度建模,以评估拉索张力对节点刚度的影响。设计了一个机械臂的原型。分析了所设计的耦合机构驱动下的工作空间。仿真了目标姿态之间的转换,验证了机械臂驱动降维设计的可行性。鲁棒性分析表明,使用协同驱动削弱了手臂的鲁棒性。采用该降维方法,将驱动尺寸从9个降为4个,导致可达工作空间和可操作性降低。目标姿势的再现准确率为90.4%。该方法可应用于其他缆索驱动机器人的降维设计。
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引用次数: 0
Stiffness Modeling and Deformation Analysis of Parallel Manipulators Based on the Principal Axes Decomposition of Compliance Matrices 基于柔度矩阵主轴分解的并联机器人刚度建模与变形分析
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-13 DOI: 10.1115/1.4062134
Shuangshuang Zhang, Linsong Zhang
This paper presents a general equivalent approach to solve the stiffness modeling, or load-deformation problem of parallel mechanisms. Based on the principal axes decomposition of structure compliance matrices, an equivalent 6-DOF serial mechanism is established to approximate the load-deformation behavior of each flexible link in the mechanism. Hence, each limb of the parallel mech-anism can be equivalent to a serial redundant rigid body mechanism with passive elastic joints, and the load-deformation problem can be transformed to the equilibrium configuration calculation of the equivalent mechanism. The main advantage of the proposed method is that the robotic kinematics and statics, rather than the elastic mechanics, can be directly adopted to solve the equilibrium configura-tion of the parallel mechanism under external load. Besides, a closed form solution of the corre-sponding deformation can be obtained, which can be solved by the gradient-based searching algo-rithm. Therefore, the final deformation will no longer be linear to the external load, which makes this method more accurate and more suitable for the deformation prediction and compensation in real industrial working conditions. In order to verify the effectiveness and correctness of this method, a 3PRRU parallel manipulator will be introduced as an example, to compare the load-deformation results with the FEA simulation and matrix calculation methods, so the nonlinearity feature can be shown in an intuitive manner.
本文提出了一种求解并联机构刚度建模或载荷-变形问题的通用等效方法。在对结构柔度矩阵进行主轴分解的基础上,建立了等效的六自由度串联机构,以逼近机构中各柔性连杆的载荷-变形行为。因此,并联机构的各分支可等效为具有被动弹性关节的连续冗余刚体机构,将载荷-变形问题转化为等效机构的平衡位形计算。该方法的主要优点是可以直接采用机器人运动学和静力学而不是弹性力学来求解外载荷作用下并联机构的平衡构型。此外,还可以得到相应变形的封闭形式解,并通过基于梯度的搜索算法求解。因此,最终变形将不再与外部载荷成线性关系,使该方法更加准确,更适合于实际工业工况下的变形预测和补偿。为了验证该方法的有效性和正确性,以3PRRU并联机器人为例,将载荷变形结果与有限元仿真和矩阵计算方法进行比较,直观地显示出其非线性特征。
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引用次数: 0
Partition-Aware Stability Control for Humanoid Robot Push Recovery With Whole-Body Capturability 具有全身可捕获性的仿人机器人推恢复的分区感知稳定性控制
4区 计算机科学 Q1 Engineering Pub Date : 2023-03-08 DOI: 10.1115/1.4056956
Hyunjong Song, William Peng, Joo H. Kim
Abstract For successful push recovery in response to perturbations, a humanoid robot must select an appropriate stabilizing action. Existing approaches are limited because they are often derived from reduced-order models that ignore system-specific aspects such as swing leg dynamics or kinematic and actuation limits. In this study, the formulation of capturability for whole-body humanoid robots is introduced as a partition-based approach in the augmented center-of-mass (COM)-state space. The 1-step capturable boundary is computed from an optimization-based method that incorporates whole-body system properties with full-order nonlinear system dynamics in the sagittal plane including contact interactions with the ground and conditions for achieving a complete stop after stepping. The 1-step capturable boundary, along with the balanced state boundaries, are used to quantify the relative contributions of different strategies and contacts in maintaining or recovering balance in push recovery. The computed boundaries are also incorporated as explicit criteria into a partition-aware push recovery controller that monitors the robot’s COM state to selectively exploit the ankle, hip, or captured stepping strategies. The push recovery simulation experiments demonstrated the validity of the stability boundaries in fully exploiting a humanoid robot’s balancing capability through appropriate balancing actions in response to perturbations. Overall, the system-specific capturability with the whole-body system properties and dynamics outperformed that derived from a typical reduced-order model.
摘要为使仿人机器人在扰动下成功恢复推力,必须选择合适的稳定动作。现有的方法是有限的,因为它们通常是从降阶模型推导出来的,忽略了系统特定的方面,如摆腿动力学或运动学和驱动限制。在本研究中,引入了一种在增强质心(COM)状态空间中基于分区的方法来描述全身类人机器人的可捕获性。一步可捕获边界是通过一种基于优化的方法计算的,该方法将全身系统特性与矢状面上的全阶非线性系统动力学结合起来,包括与地面的接触相互作用以及在步进后实现完全停止的条件。利用1步可捕获边界和平衡状态边界,量化不同策略和接触对保持或恢复推送恢复平衡的相对贡献。计算出的边界也作为明确的标准整合到分区感知推送恢复控制器中,该控制器监控机器人的COM状态,以选择性地利用脚踝、髋关节或捕获的步进策略。推恢复仿真实验验证了稳定性边界在仿人机器人响应扰动时通过适当的平衡动作充分发挥其平衡能力方面的有效性。总体而言,具有整个系统特性和动力学的系统特定可捕获性优于典型的降阶模型。
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引用次数: 0
Development of a Novel 4-DOF Flexible Endoscopic Robot Using Cable-driven Multi-segment Continuum Mechanisms 一种新型四自由度柔性内窥镜机器人的研制
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-08 DOI: 10.1115/1.4057075
Zhengyu Wang, Shiyang Bao, Bin Zi, Zirui Jia, Xiang Yu
This paper presents the design, analysis, and development of a novel four degrees of freedom (4-DOF) endoscopic robot with cable-driven multi-segment flexible continuum mechanisms. The endoscopic robot is mainly composed of the passive positioning arm, cable-pulley system and 3-DOF flexible continuum mechanism. The forward and inverse kinematics of the endoscopic robot are derived based on the constant curvature assumption, and its working space, flexibility and preoperative incision determination method are analyzed as well. Based on the hardware structure of the robot system, a control strategy and a control software are developed, and the continuum mechanism is kinematically calibrated to carry out the trajectory planning experiment and simulated surgery experiment. The experimental results show that the calibrated constant curvature model can be used for the motion control of the continuum mechanism, and the 4-DOF endoscopic robot can meet the visual field requirements of minimally invasive surgery.
本文介绍了一种新型四自由度(4-DOF)内窥镜机器人的设计、分析和开发,该机器人具有缆索驱动的多节柔性连续体机构。内窥镜机器人主要由被动定位臂、索轮系统和三自由度柔性连续体机构组成。基于常曲率假设推导了内窥镜机器人的正运动学和逆运动学,分析了其工作空间、灵活性和术前切口确定方法。基于机器人系统的硬件结构,开发了控制策略和控制软件,并对连续体机构进行了运动学标定,进行了轨迹规划实验和模拟手术实验。实验结果表明,校准后的常曲率模型可用于连续体机构的运动控制,4自由度内窥镜机器人能够满足微创手术的视野要求。
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引用次数: 1
A Novel Variable Stiffness Compliant Robotic Link Based on Discrete Variable Stiffness Units for Safe Human–Robot Interaction 基于离散变刚度单元的新型变刚度柔性机器人连杆安全人机交互
4区 计算机科学 Q1 Engineering Pub Date : 2023-03-08 DOI: 10.1115/1.4056957
Jiaming Fu, Ziqing Yu, Han Lin, Lianxi Zheng, Dongming Gan
Abstract Variable stiffness manipulators balance the trade-off between manipulation performance needing high stiffness and safe human–robot interaction desiring low stiffness. Variable stiffness links enable this flexible manipulation function during human–robot interaction. In this paper, we propose a novel variable stiffness link based on discrete variable stiffness units (DSUs). A DSU is a parallel guided beam that can adjust stiffness discretely by changing the cross-sectional area properties of the hollow beam segments. The variable stiffness link (Tri-DSU) consists of three tandem DSUs to achieve eight stiffness modes and a stiffness ratio of 31. To optimize the design, stiffness analysis of the DSU and Tri-DSU under various configurations and forces was performed by a derived linear analytical model which applies to small/intermediate deflections. The model is derived using the approach of serially connected beams and superposition combinations. 3D-Printed prototypes were built to verify the feature and performance of the Tri-DSU in comparison with the finite element analysis and analytical model results. It’s demonstrated that our model can accurately predict the stiffnesses of the DSU and Tri-DSU within a certain range of parameters. Impact tests were also conducted to validate the performance of the Tri-DSU. The developed method and analytical model are extendable to multiple DSUs with parameter configurations to achieve modularization and customization, and also provide a tool for the design of reconfigurable collaborative robot (cobot) manipulators.
变刚度机器人在需要高刚度的操作性能和低刚度的人机交互安全之间取得平衡。可变刚度连杆在人机交互过程中实现了这种灵活的操作功能。本文提出了一种基于离散变刚度单元(dsu)的变刚度连杆。DSU是一种可以通过改变空心梁段的横截面积特性来离散调节刚度的平行导梁。变刚度连杆(Tri-DSU)由3个串联dsu组成,可实现8种刚度模式和31的刚度比。为了优化设计,通过推导出适用于小/中等挠度的线性分析模型,对DSU和Tri-DSU在不同构型和受力下的刚度进行了分析。该模型采用串接梁和叠加组合的方法推导。建立了3d打印原型,并与有限元分析和分析模型结果进行比较,验证了Tri-DSU的特征和性能。结果表明,该模型能够准确地预测DSU和三DSU在一定参数范围内的刚度。还进行了冲击试验,以验证Tri-DSU的性能。所开发的方法和分析模型可扩展到具有参数配置的多个dsu,实现模块化和定制化,为可重构协作机器人(cobot)机械手的设计提供了工具。
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引用次数: 0
Light-weight Design of 5-DoF hybrid robot for assembling in the cabin 舱内组装5-DoF混合机器人的轻量化设计
IF 2.6 4区 计算机科学 Q1 Engineering Pub Date : 2023-03-08 DOI: 10.1115/1.4057074
Binbin Lian, Pan Feng, Jin Wu, J. Ma, Yuan Zhang, Yimin Song
Interior assembling inside the cabin of an aircraft requires assembling robot to be light-weight and able to carry heavy payload. This paper proposed a hybrid robot, carried out its optimal design and experiments. The robot consists of a 1T2R parallel module and a 2T serial module. In the parallel module, the 1st limb is composed of a slider-crank mechanism and a RS link. The other two limbs are PRS limbs. Herein, R, S, P are revolute, spherical and actuated prismatic joints. Optimization of the robot concerns motion/force transmissibility, total mass and stiffness. Hence, kinematic, stiffness and mass modeling are implemented, and then the Pareto-based multi-objective optimization. Objective arrangements are discussed by concerning (1) the conflicting relation between mass and the minimal linear stiffness along z-axis, and (2) the overall stiffness performance. After comparing six multi-objective optimizations, it is found that simultaneously regarding mass and minimal linear stiffness along z-axis as objectives is beneficial for obtaining large payload-to-mass ratio. Moreover, having overall stiffness as objectives would lower the values of motion/force transmissibility and payload-to-mass ratio. Finally, optimization model having motion/force transmissibility, total mass and minimal linear stiffness along z-axis as objectives is selected. The optimal payload-to-mass ratio is up to 13.2837. The 5-DoF hybrid robot is machined and assembled. Experiments on the workspace, repeatability and load carrying capacity confirm the performances of the designed robot.
飞机客舱内部组装要求组装机器人重量轻,能够携带重型有效载荷。本文提出了一种混合机器人,并对其进行了优化设计和实验。该机器人由一个1T2R并行模块和一个2T串行模块组成。在并联模块中,第一支路由曲柄滑块机构和RS连杆组成。其他两个肢体是PRS肢体。这里,R、S、P是旋转的、球形的和致动的棱柱关节。机器人的优化涉及运动/力传递性、总质量和刚度。因此,实现了运动学、刚度和质量建模,然后进行了基于Pareto的多目标优化。通过考虑(1)质量和沿z轴的最小线性刚度之间的冲突关系,以及(2)整体刚度性能,讨论了目标布置。通过对六个多目标优化的比较,发现同时以质量和沿z轴的最小线性刚度为目标有利于获得大的有效载荷质量比。此外,将整体刚度作为目标将降低运动/力传递性和有效载荷与质量比的值。最后,选择了以运动/力传递性、总质量和沿z轴的最小线性刚度为目标的优化模型。最佳有效载荷与质量比高达13.2837。5-DoF混合机器人经过机械加工和组装。工作空间、重复性和承载能力的实验验证了所设计机器人的性能。
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引用次数: 1
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