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Safe Trajectory Generation for Wheel-Leg Hybrid Mechanism Using Discrete Mechanics and Optimal Control 基于离散力学和最优控制的轮腿混合机构安全轨迹生成
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063871
Yiqun Li, Jiahui Gao, Kai Chen, Wei Chen, Zhouping Yin
Abstract The wheel-legged robot inherits the merit of both the wheeled robot and the legged robot, which can not only adapt to the complex terrain, but also maintain the driving efficiency on the flat road. This paper presents an optimization-based approach that leverage ideas from computational geometric mechanics to generate safe and high-quality wheel-leg hybrid motions among obstacles. The formulation of the proposed motion optimization problem incorporates the Lagrange-d'Alembert principle as the robot's dynamic constraints and an efficient closed-form formulation of collision-free constraints. By discretizing the variational mechanics principle directly, rather than its corresponding forced Euler-Lagrange equation, the continuous trajectory optimization problem is transformed into a nonlinear programming (NLP) problem. Numerical simulations and several real-world experiments are conducted on a wheel-legged robot to demonstrate the effectiveness of the proposed trajectory generation approach.
轮腿机器人继承了轮式机器人和腿式机器人的优点,既能适应复杂地形,又能在平坦路面上保持行驶效率。本文提出了一种基于优化的方法,利用计算几何力学的思想来产生安全、高质量的轮腿混合运动。所提出的运动优化问题的公式将拉格朗日-达朗贝尔原理作为机器人的动态约束,并采用了一种有效的无碰撞约束的封闭形式公式。通过将变分力学原理直接离散化,而不是将其对应的强制欧拉-拉格朗日方程离散化,将连续轨迹优化问题转化为非线性规划问题。通过对一个轮腿机器人进行数值模拟和实际实验,验证了所提出的轨迹生成方法的有效性。
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引用次数: 0
Workspace, Singularity and Dexterity Analyses of a Six-dof SDelta Robot with an Orthogonal Base Platform 正交基台六自由度SDelta机器人的工作空间、奇异性和灵巧性分析
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063574
Metin Toz, Hasiaoqier Han, Jorge Angeles
Abstract The SDelta is a three-limb, six-degrees-of-freedom parallel kinematics machine, a pertinent candidate for high-speed operations by virtue of its simple architecture. The original design of the SDelta includes a planar base and moving platforms. Here, we propose a novel architecture for an improved SDelta, the orthogonal SDelta (OSD), with a cube-shaped orthogonal base platform. Inverse and forward position models are reported, along with singularity and dexterity analyses. Moreover, design parameters and mechanical constraints leading to a singularity-free workspace are provided. An evaluation of the system translational workspace and orientational capability, upon consideration of volume and dexterity, is included. The SDelta as well as a generic 6SPS mechanism (C, P, and S denote, respectively, the cylindrical, prismatic, and spherical kinematic pairs, the actuated pair is represented underlined, as P) are designed with the same parameters, then the performance of the SDelta, the OSD, and the 6SPS mechanisms are being compared. The results show that the orientational capability of the OSD is better than those of the 6SPS and the SDelta. Furthermore, the OSD has an average condition number of 2.9 over its translational workspace and 1.69 over a predefined effective regular workspace, which make the OSD a good candidate for operations that need both a high orientational capability and high dexterity.
SDelta是一种三臂六自由度并联机构,结构简单,适合高速作业。SDelta的原始设计包括平面基座和移动平台。在这里,我们提出了一种改进的SDelta的新架构,即正交SDelta (OSD),具有立方体形状的正交基平台。报告了逆和正位模型,并进行了奇异性和灵巧性分析。此外,还提供了导致无奇点工作空间的设计参数和机械约束。在考虑体积和灵巧性的基础上,对系统的平移工作空间和定向能力进行了评估。采用相同的参数设计了SDelta和通用6SPS机构(C、P和S分别表示圆柱、棱镜和球面运动副,驱动副用下划线表示,P),然后比较了SDelta、OSD和6SPS机构的性能。结果表明,OSD的定向能力优于6SPS和SDelta。此外,在平移工作空间上的平均条件数为2.9,在预定义的有效常规工作空间上的平均条件数为1.69,这使OSD成为既需要高定向能力又需要高灵巧性的操作的理想选择。
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引用次数: 0
The equivalent mechanical model of topological graphs and the isomorphism identification of kinematic chains 拓扑图的等效力学模型及运动链的同构辨识
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063869
Wuxing Pan, Li Ruiqin
Abstract In this work, a novel model called equivalent mechanical model (EMM) is presented. First, the character array based on the EMM is built. Further, a recursive formula for finding the elements in the character array is derived using improved adjacent matrix. Then, the method of isomorphism identification of kinematic chains and the principle of constructing isomorphic mapping are presented. Finally, three cases are discussed to test the validity of the method. The method endows the edges with recognition given by character arrays as the necessary condition for constructing mapping, and takes whether the constructed mapping satisfies the definition of isomorphism as the sufficient identification condition. The results show that the isomorphism identification conditions based on EMM can identify the isomorphism of kinematic chains accurately and reliably.
本文提出了一种新的等效力学模型(EMM)。首先,建立了基于EMM的字符数组。进一步,利用改进邻接矩阵导出了查找字符数组中元素的递归公式。然后,给出了运动链的同构识别方法和构造同构映射的原理。最后,通过三个案例验证了该方法的有效性。该方法赋予具有字符数组识别的边作为构造映射的必要条件,并以构造的映射是否满足同构定义作为充分识别条件。结果表明,基于EMM的同构识别条件能够准确、可靠地识别运动链的同构。
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引用次数: 0
CGA-based geometric modeling method for forward displacement analysis of 6-4 Stewart platforms 基于cga的6-4 Stewart平台正位移分析几何建模方法
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063501
Ganmin Zhu, Shimin Wei, Duanling Li, Yingli Wang, Qizheng Liao
Abstract This paper presents a novel geometric modeling method for direct displacement analysis of 6-4 Stewart platforms based on conformal geometric algebra (CGA). First, a geometric constraint relationship of four lines and a plane intersecting at a point is published. Second, a new coordinate-invariant geometric constraint equation of 6-4 Stewart platforms is deduced by CGA operation. Third, five polynomial equations are established by CGA theory. Fourth, based on the above six equations, a 5 × 5 Sylvester’s matrix is formulated by using Sylvester’s Dialytic elimination method and Gröbner bases method under the graded reverse lexicographical order. Finally, the coordinates of four points on the moving platform are revealed. Besides, a numerical example is used to prove the validity of the proposed method. The novelty of this study is that a whole geometric modeling method by geometric constraint relationship of four lines and a plane intersecting at a point is put forward under the CGA framework, which has good intuition and offers a novel idea for solving the other complex mechanisms. At the same time, Sylvester’s matrix constructed by this method is the smallest one in the known literature for forward displacement analysis of 6-4 Stewart platforms.
提出了一种基于共形几何代数(CGA)的6-4 Stewart平台直接位移分析几何建模方法。首先,给出了四线与平面相交于一点的几何约束关系。其次,通过CGA运算推导出6-4 Stewart平台的新的坐标不变几何约束方程;第三,利用CGA理论建立了5个多项式方程。第四,在上述六个方程的基础上,采用Sylvester’s Dialytic消去法和Gröbner碱基法,在逐级倒序的字典顺序下,得到一个5 × 5的Sylvester’s矩阵。最后给出了运动平台上四个点的坐标。最后,通过数值算例验证了该方法的有效性。本研究的新颖之处在于在CGA框架下,提出了一种基于四线与平面相交于一点的几何约束关系的整体几何建模方法,具有良好的直观性,为求解其他复杂机构提供了新的思路。同时,该方法构造的Sylvester矩阵是目前已知文献中用于6-4 Stewart平台前向位移分析的最小矩阵。
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引用次数: 0
Active Control of Contact Force for a Quasi-Translational Flexible-Link Parallel Mechanism 准平移柔性连杆并联机构接触力的主动控制
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.1115/1.4063870
Hao Pan, Shujie Tang, Genliang Chen, Hao Wang
Abstract For practical applications of interactive manipulation, active contact control is one of the fundamental functions that flexible-link parallel mechanisms (FLPMs) should be equipped with. In this paper, a force control approach is proposed for FLPMs to make active adjustment toward their payload, which cannot be directly achieved by their intrinsic passive compliance. To begin with, at a starting configuration the Jacobian matrix is accurately calculated with finite difference method, while at non-starting configurations it is deduced with an increment-based approach. The compliance model is derived through mapping from the joint stiffness within each elastic rod. On this basis, the differential relation among pose, payload and actuation variables is constructed to form the control logic, whose correctness and feasibility are then verified with simulations. Finally, interaction experiments under fixed environment and cooperative motion are carried out, and the results demonstrate that force control for a quasi-translational FLPM can be accomplished with enough pose accuracy.
在实际操作中,主动接触控制是柔性连杆并联机构应具备的基本功能之一。本文提出了一种力控制方法,使其能够对载荷进行主动调节,从而解决了固有被动顺应性无法直接实现的问题。首先,用有限差分法精确计算起始位形下的雅可比矩阵,用基于增量的方法推导非起始位形下的雅可比矩阵。通过对各弹性杆内节点刚度的映射,推导出柔度模型。在此基础上,构建位姿、载荷和驱动变量之间的微分关系,形成控制逻辑,并通过仿真验证了控制逻辑的正确性和可行性。最后,进行了固定环境和协同运动下的交互实验,结果表明准平移FLPM的力控制可以在足够的位姿精度下完成。
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引用次数: 0
Locust-inspired Jumping Mechanism Design and Improvement Based on Takeoff Stability 基于起飞稳定性的蝗虫启发跳跃机构设计与改进
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-17 DOI: 10.1115/1.4063406
Xiaojuan Mo, Wenjie Ge, Yifei Ren, Donglai Zhao, Dunwen Wei, Donato Romano
Abstract Locusts keep their bodies moving in a straight line during the takeoff and maintain the body stable during the whole jumping with small pitching motions, ensuring both kinematic and dynamic stability to reach their intended destinations. Inspired by locusts’ jumping performance, the Stephenson II six-bar jumping mechanism is adopted to mimic the kinematic stability of locusts’ takeoff and a dynamic model is developed to analyze the impacts of the torsional spring location, the spring stiffness, and the location of the equivalent body bar centroid on the jumping performance. Furthermore, a revised eight-bar jumping mechanism is proposed to solve the difficulty in realizing dynamic stability using the six-bar mechanism, as the moments of momentum of each component around the overall centroid are positive and contribute together to the counterclockwise rotation of the jumping. The dynamic modeling shows that the mass of the equivalent tarsus bar plays an important role in realizing the dynamic stability for the eight-bar jumping mechanism. Finally, two kinds of jumping robots are designed, fabricated and tested with jumping performance recorded by high-speed cameras, which validates the impacts of the mass of the equivalent tarsus bar on the jumping stability in the eight-bar jumping mechanism.
蝗虫在起飞过程中保持身体的直线运动,在整个跳跃过程中保持身体的稳定,并以较小的俯仰运动来保证身体的运动学和动力学稳定性,从而到达预定的目的地。以蝗虫的跳跃性能为灵感,采用Stephenson II型六杆跳跃机构模拟蝗虫起飞的运动稳定性,并建立动力学模型,分析扭转弹簧位置、弹簧刚度和等效体杆质心位置对跳跃性能的影响。此外,提出了一种改进的八杆跳跃机构,以解决六杆机构难以实现动态稳定的问题,因为每个部件在整体质心周围的动量矩都是正的,并且共同促进了跳跃的逆时针旋转。动力学建模表明,等效跗杆的质量对实现八杆跳跃机构的动态稳定性起着重要作用。最后,设计、制作了两种跳跃机器人,并进行了高速摄像机记录的跳跃性能测试,验证了等效跗骨杆质量对八杆跳跃机构中跳跃稳定性的影响。
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引用次数: 0
Origami-inspired design of a single-DOF reconfigurable wing with lockable mechanisms 折纸灵感设计的单自由度可重构机翼,具有可锁定机制
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-17 DOI: 10.1115/1.4063456
Xiong Zhang, Xi Kang, Bing Li
Abstract The morphing wing can enable the aircraft to maintain good flight performance in different missions or flight stages, which has enjoyed much attention in recent research. However, it is difficult to design the wing with multiple configurations and lightweight. Inspired by the origami art, a reconfigurable mechanism with a single-degree-of-freedom (single-DOF) is introduced to the morphing wing design in this paper. The bending configuration, the deployable configuration, and the configuration transformation of the reconfigurable mechanism are respectively analyzed. The lengths of some links are also optimized according to the motion requirements. Specific kinematic pairs of the reconfigurable mechanism are required to have the locking function. Therefore, a reliable “plug-in” type lockable mechanism is designed and its working performance is verified by comparing the analytical model and the finite element method model. Finally, by assembling the reconfigurable mechanism with the ribs, the reconfigurable wing which can realize the arbitrary transformation of four configurations under a single drive mode can be obtained.
可变形机翼能使飞机在不同任务或飞行阶段保持良好的飞行性能,是近年来研究的热点。然而,设计多构型和轻量化的机翼是困难的。受折纸艺术的启发,本文将单自由度可重构机构引入到变形翼的设计中。分别分析了可重构机构的弯曲构型、可展开构型和构型转换。一些环节的长度也根据运动要求进行了优化。要求可重构机构的特定运动对具有锁定功能。为此,设计了一种可靠的“插拔式”可锁机构,并通过解析模型和有限元模型的对比验证了其工作性能。最后,通过将可重构机构与肋部组装,得到了在单一驱动模式下可实现四种构型任意变换的可重构翼。
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引用次数: 0
Cyclic reconfigurability of deployable ring structures with angulated beams 带角梁的可展开环结构的循环可重构性
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-16 DOI: 10.1115/1.4063408
Linzi Fan, Ruoqi He, Yao Chen, Shun Hu, Pooya Sareh
Abstract Deployable ring structures have been useful concepts for engineering design applications due to their smooth transformation from an initially compact configuration to a substantially larger deployed state. As a result, over the past few decades, various computational and kinematic models have been introduced to analyze the behavior of such deployable structures. Here, we propose a type of deployable ring structure designed based on a transformable concept known as the Swivel Diaphragm. In particular, the geometry of the deployable ring structure is introduced, including different structural configurations with fixed pivots and angulated beams. Then, taking a group-theoretic approach, we establish appropriate constraint equations and perform a symmetry-adapted kinematic analysis. In the next step, the mobility and self-stress states of three example structures are studied, including a simple ring structure with C3 symmetry, a C6-symmetric ring with a hexagonal Swivel Diaphragm structure, and a general Cn-symmetric ring structure with inner hoops. The usefulness and effectiveness of the utilized group-theoretic approach are examined and validated through the study of these examples. We show that the kinematic behavior of the numerical models developed in this study agrees well with the finite element results obtained using abaqus. Importantly, the illustrated motion trajectories of the reconfigurable structures demonstrate that they retain a single degree-of-freedom as well as a cyclic symmetry. Moreover, it is shown that the angulated members necessarily rotate around the fixed pivots, which could be practically desirable in designing transformable structures for various applications in engineering and architecture.
可展开环结构由于其从最初的紧凑结构平滑地转变为实质上更大的展开状态,在工程设计应用中一直是有用的概念。因此,在过去的几十年里,各种计算和运动学模型被引入来分析这种可展开结构的行为。在这里,我们提出了一种可展开的环结构设计基于一个可转换的概念,被称为旋转膜片。特别地,介绍了可展开环结构的几何形状,包括不同的结构配置与固定轴和角梁。然后,采用群论的方法,建立了合适的约束方程,并进行了对称适应的运动学分析。下一步,研究了3种结构的迁移率和自应力状态,包括C3对称的简单环结构、c6对称的带有六角形旋转膜片结构和带内箍的一般cn对称环结构。通过实例的研究,验证了所采用的群论方法的实用性和有效性。结果表明,本文所建立的数值模型的运动行为与用abaqus得到的有限元结果吻合得很好。重要的是,所示的可重构结构的运动轨迹表明,它们保留了单一自由度和循环对称性。此外,还表明,成角构件必然围绕固定轴转动,这在设计各种工程和建筑应用的可变形结构时是实际需要的。
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引用次数: 1
Design and Implementation of Upper-Body Exoskeleton for Assistance of Individuals With Manual Handling Tasks 上肢外骨骼的设计与实现,以协助个人的体力处理任务
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-16 DOI: 10.1115/1.4063455
Bing Chen, Xiang Ni, Bin Zi, Qingsong Xu, Jun Qian
Abstract This paper illustrates the design and testing of an upper-body exoskeleton for the assistance of individuals with load-lifting and load-carrying tasks, and the provided assistive force can well match with the force required by the human. First, the biomechanics of the human lumbar during the squat lifting of an object is described. Next, the modeling of the exoskeleton is introduced. Additionally, the hardware design of the exoskeleton is presented. The exoskeleton is mainly composed of a back-assist mechanism and an upper extremity labor-saving mechanism, which can assist the wearer’s lumbar during the squat lifting of an object and assist the wearer’s arms to carry an object during walking, respectively. Finally, experiments are conducted to evaluate the performance of the developed upper-body exoskeleton. The experimental results demonstrate that the exoskeleton has the potential to provide assistance for individuals with manual handling tasks. An average assistive force of 44.8 N can be provided for the wearer to lift a 10-kg object. During the squat lifting of the 10-kg object, reductions of 31.86% and 28.30% of the average muscle activities of the wearer’s lumbar erector spinae and thoracic erector spinae are observed, respectively. In addition, a reduction of 23.78% of the average muscle activity of the wearer’s biceps brachii is observed during walking while carrying the 10-kg object.
摘要:本文设计并测试了一种用于辅助个人进行起重和搬运任务的上肢外骨骼,所提供的辅助力与人体所需的力匹配良好。首先,描述了深蹲举起物体时人体腰椎的生物力学。其次,介绍了外骨骼的建模。此外,还介绍了外骨骼的硬件设计。外骨骼主要由背部辅助机构和上肢省力机构组成,分别可以在深蹲抬起物体时辅助佩戴者的腰部,在行走时辅助佩戴者的手臂搬运物体。最后,通过实验对所研制的上肢外骨骼进行了性能评价。实验结果表明,该外骨骼具有为个人手动处理任务提供帮助的潜力。佩戴者举起10公斤重的物体时,可提供平均44.8牛的辅助力。在深蹲举10公斤物体时,观察到佩戴者腰竖脊肌和胸竖脊肌的平均肌肉活动分别减少31.86%和28.30%。此外,在携带10公斤的物体行走时,佩戴者肱二头肌的平均肌肉活动减少了23.78%。
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引用次数: 0
An Improved Static Model for Bidirectional Notched Continuum Robot Considering the Cable-tension Loss 考虑缆索张力损失的双向缺口连续机器人改进静态模型
4区 计算机科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-10-16 DOI: 10.1115/1.4063454
Zhengyu Wang, Zirui Jia, Sen Qian, Daoming Wang, Xiang Yu, Xuchang Liu
Abstract The notched continuum mechanism is particularly suitable for natural orifice transluminal surgery benefiting from its small size and hollow structure. However, the widely used kinematic model based on constant curvature assumption does not reveal the actual deformation of the continuum mechanism, and its control accuracy is unstable, while the general mechanics model has the problem that the tension of the distal driving cable is difficult to measure. In this paper, a nonconstant curvature static model for a bidirectional V-shaped notched continuum mechanism is presented. The deformation of each part of the continuum mechanism from the distal end to the proximal end is analyzed in turn. The tension loss of the driving cable caused by the contact with the continuum mechanism is modeled using the capstan equation. The recursive equation between the deformation of each part of the continuum mechanism from the proximal end is derived, which can be solved numerically. The bending state of the continuum mechanism can then be estimated when only the tension of the proximal flexible cable is known. The model is experimentally verified by driving the continuum mechanism to move at a very low speed. The experiment results show that the estimation effect of the proposed model is significantly improved compared with that of the constant curvature model.
缺口连续体机构因其体积小、结构中空而特别适用于自然孔腔内手术。然而,目前广泛采用的基于常曲率假设的运动学模型并不能反映连续体机构的实际变形,其控制精度不稳定,而一般力学模型存在远端驱动索张力难以测量的问题。本文建立了双向v形缺口连续体机构的非常曲率静力模型。从远端到近端依次分析了连续体机构各部分的变形。采用绞盘方程对驱动索与连续介质机构接触造成的张力损失进行了建模。导出了连续介质机构各部分近端变形之间的递推方程,并可进行数值求解。当只知道近端柔性索的张力时,就可以估计连续体机构的弯曲状态。通过低速驱动连续体机构运动的实验验证了模型的正确性。实验结果表明,与常曲率模型相比,该模型的估计效果有显著提高。
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引用次数: 0
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