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Blind parameter identification of implicit differential equations using the collocation discretization and homotopy optimization methods 利用配位离散化和同向优化方法对隐式微分方程进行盲参数识别
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-19 DOI: 10.1016/j.mechmachtheory.2024.105715
Altay Zhakatayev , Nurilla Avazov , Hasan Najjar , Yuriy Rogovchenko , Matthias Pätzold

In this paper, our objectives are to estimate the moments of inertia and reconstruct the inputs of a two-link pendulum that models a human arm. A blind parameter identification routine to determine the inertia properties of human limbs without input data based on a combination of collocation discretization and homotopy optimization is suggested. Without the input data, inertia parameters are structurally unidentifiable. Complementary equations in terms of the ratio of inertia parameters in the cost function and the rate of change of the inputs in the constraints are introduced to make the problem structurally identifiable. Numerous simulations are performed to validate our approach. Experiments to record human upper arm and forearm oscillatory movements were also performed, and moment of inertia terms were evaluated. The significance of the proposed method is that the method can be used to evaluate the moments of inertia of human body segments only from the experimental kinematic data. The advantages of the method are: numerical integration of dynamic and sensitivity equations is avoided and the record of the inputs to the system is not needed.

在本文中,我们的目标是估算惯性矩,并重建模拟人类手臂的双连杆摆的输入。本文提出了一种盲参数识别程序,它可以在没有输入数据的情况下确定人体肢体的惯性特性,该程序基于配位离散化和同调优化的组合。在没有输入数据的情况下,惯性参数在结构上是不可识别的。为使问题在结构上可识别,引入了成本函数中惯性参数比率和约束条件中输入变化率的互补方程。为了验证我们的方法,我们进行了大量模拟。此外,还进行了记录人体上臂和前臂摆动运动的实验,并对惯性矩项进行了评估。所提方法的意义在于,该方法可用于仅根据实验运动学数据评估人体各部分的惯性矩。该方法的优点是:避免了动态方程和灵敏度方程的数值积分,无需记录系统的输入。
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引用次数: 0
Ball bearing friction assessment through power minimization 通过功率最小化评估滚珠轴承摩擦
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-17 DOI: 10.1016/j.mechmachtheory.2024.105714
Pablo Riera , Luis Maria Macareno , Josu Aguirrebeitia , Iker Heras

Two-point contact bearings are widely used in industry. In space applications, where the speed of the mechanisms is low, the main source of friction in the bearings is the one produced at the ball-raceway contact ellipses. This friction affects the motorization margin which is a key aspect of the operational envelope in space mechanisms. The traditional method to estimate this friction works by trying to find the force equilibrium for each ball. For that, an iterative sequence is arranged with six parameters defining the ball kinematics under the action of normal and friction forces assuming a constant friction coefficient. The force equilibrium model is reviewed analyzing the influence of the speed, and the implications of quasi-static assumption are assessed. For this last assumption, an energetic method is proposed established upon the minimization of the friction power generated within the contact patches. This model provides the same results as the force equilibrium model with a stronger convergence and a simple computational implementation. Finally, the two methods are compared obtaining better performances for the power minimization method. This work represents a first step in order to substitute force equilibrium methods with more stable energy based methods in bearing friction calculations.

两点接触轴承广泛应用于工业领域。在机构速度较低的空间应用中,轴承的主要摩擦源是球-滚道接触椭圆处产生的摩擦。这种摩擦会影响机动裕度,而机动裕度是空间机构运行包络的一个关键方面。估算摩擦力的传统方法是试图找到每个球的力平衡点。为此,我们安排了一个迭代序列,在法向力和摩擦力的作用下,用六个参数定义球的运动学,并假设摩擦系数恒定。对力平衡模型进行了审查,分析了速度的影响,并评估了准静态假设的影响。针对最后一个假设,提出了一种能量方法,该方法建立在最小化接触斑块内产生的摩擦力的基础上。该模型提供了与力平衡模型相同的结果,但收敛性更强,计算实现更简单。最后,对这两种方法进行了比较,发现功率最小化方法的性能更好。这项工作标志着在轴承摩擦计算中用更稳定的基于能量的方法取代力平衡方法迈出了第一步。
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引用次数: 0
Kinematic models for Cable-driven Continuum Robots with multiple segments and varying cable offsets 具有多段和不同电缆偏移的电缆驱动连续机器人的运动学模型
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.mechmachtheory.2024.105701
Ashish Bhalkikar, Smrithi Lokesh, K.P. Ashwin

Cable-driven Continuum Robots (CCRs) represent a subset of flexible robotic systems with diverse applications encompassing medical, quality control, and search and rescue. Multi-segmented CCRs can independently actuate different CCR segments and deform into a series of connected circular arcs. While this method generates constant-curvature profiles, CCRs with varying radial cable offsets can generate shapes with varying curvatures. However, there are no kinematic models for such robots in the literature. This paper introduces optimization-based formulations to accurately estimate the deformed profile of CCRs, considering both variable cable offset and multi-segment configurations. The presented kinematic approach can predict the deformed profiles with an RMS error less than 5% of the total length of the robot. The application of the proposed method to determine the inverse kinematics of multi-segmented CCRs is demonstrated—even considering obstacles in the robot’s workspace. Practical implementation of the formulation is illustrated using a 3-segmented CCR with a cable-driven soft gripper that imitates biological grippers such as an elephant’s trunk or creeper vine to grasp objects.

电缆驱动连续机器人(CCR)是柔性机器人系统的一个分支,其应用范围广泛,包括医疗、质量控制和搜索救援。多节 CCR 可独立驱动不同的 CCR 节段,并变形为一系列相连的圆弧。虽然这种方法可以产生恒定曲率的轮廓,但具有不同径向电缆偏移的 CCR 可以产生不同曲率的形状。然而,文献中并没有此类机器人的运动学模型。本文介绍了基于优化的计算方法,以准确估计 CCR 的变形轮廓,同时考虑到可变电缆偏移和多段配置。所提出的运动学方法可以预测变形轮廓,均方根误差小于机器人总长度的 5%。演示了如何应用所提出的方法确定多节 CCR 的逆运动学,甚至考虑了机器人工作空间中的障碍物。我们用一个 3 段 CCR 和一个电缆驱动的软抓手来说明该方法的实际应用,该抓手模仿生物抓手(如大象的躯干或爬山虎的藤蔓)来抓取物体。
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引用次数: 0
Design and performance analysis of a compact dual-motor underwater vector propulsion system 紧凑型双电机水下矢量推进系统的设计与性能分析
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.mechmachtheory.2024.105703
Zihao Yu , Liang Yan , Xiaoshan Gao , Jiatong Liu , Suwan Bu , Peiran Zhao , Xinghua He , I-Ming Chen

Vector propulsion systems enhance the limited three-dimensional motion capabilities of conventional systems at low speeds. However, their requirement for multiple prime movers increases the underwater robot’s power capacity, impacts its size and mass and compromises long endurance capabilities. To solve this problem, a compact dual-motor underwater vector propulsion system is proposed in this paper. It employs a nozzle, adjustable in a two-dimensional plane, to produce an adjusting force, and a propeller, perpendicular to this plane, for main thrust, achieving three-dimensional motion. The innovation lies in a dual-shaft motor with each shaft featuring a one-way bearing. The synchronized direction of rotation of the two one-way bearings is opposite. This configuration enables the motor to drive the propeller during forward rotation and the nozzle during reverse rotation, achieving a two-in-one drive motor and reducing prime movers. Additionally, using nozzles for attitude regulation overcomes the limitation of conventional propulsion systems. An analytical model defines mechanical output characteristics. Computational fluid dynamics analyze hydrodynamic characteristics. The prototype’s underwater experiments confirm its ability to generate main thrust and a two-dimensional planar adjusting force, enabling three-dimensional motion.

矢量推进系统提高了传统系统在低速时有限的三维运动能力。然而,矢量推进系统对多个原动机的要求增加了水下机器人的动力容量,影响了其体积和质量,并损害了其长续航能力。为解决这一问题,本文提出了一种紧凑型双电机水下矢量推进系统。该系统采用一个可在二维平面内调节的喷嘴产生调节力,一个垂直于该平面的螺旋桨产生主推力,从而实现三维运动。创新之处在于双轴电机,每根轴都有一个单向轴承。两个单向轴承的同步旋转方向相反。这种配置使电机在正向旋转时驱动螺旋桨,在反向旋转时驱动喷嘴,实现了二合一驱动电机,减少了原动机。此外,利用喷嘴进行姿态调节克服了传统推进系统的局限性。分析模型定义了机械输出特性。计算流体动力学分析了流体动力学特性。原型机的水下实验证实,它能够产生主推力和二维平面调节力,从而实现三维运动。
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引用次数: 0
A contact sensor-free framework for ground reaction force observation in heavy-legged robots considering unknown loads 考虑未知负载的重足机器人地面反作用力观测无接触传感器框架
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.mechmachtheory.2024.105700
Shaoxun Liu , Shiyu Zhou , Boyuan Li , Zhihua Niu , Hui Jing , Rongrong Wang

As a direct response to robot movements and load distributions, the ground reaction force (GRF) is pivotal for heavy-legged robot (HLR) applications. This study presents a technical framework for GRF monitoring in an electric cylinder-driven HLR, eliminating the need for information on body motion, load distributions, and measured servo outputs. Traditional joint space-based dynamics are extended to include servo currents, compensating for the influence of unknown servo outputs. An essential contribution is incorporating the impact of floating bases and unknown loads into a virtual spatial force (VSF) applied to the HLR hip joint. The VSF is obtained through the nonlinear disturbance observer when the HLR is in a stable contact phase. Subsequently, a high-order GRF observer (HOGO), compensated with VSF, enables GRF observations without the pre-acquired body movement and load distribution data. In contrast to conventional GRF observations, the proposed framework could determine virtual payloads acting on the hip joint while ensuring precise GRF monitoring without requiring supplementary sensors. The GRF observations of the proposed framework are experimentally superior to those of the conventional methods with unknown HLR body motion and load information.

作为对机器人运动和负载分布的直接响应,地面反作用力(GRF)对重足机器人(HLR)的应用至关重要。本研究提出了一种技术框架,用于监测电动缸驱动重足机器人的地面反作用力,无需提供有关身体运动、负载分布和测量伺服输出的信息。传统的基于关节空间的动力学被扩展到包括伺服电流,以补偿未知伺服输出的影响。一个重要的贡献是将浮动基座和未知负载的影响纳入施加到 HLR 髋关节的虚拟空间力(VSF)中。当 HLR 处于稳定接触阶段时,通过非线性干扰观测器获得 VSF。随后,利用 VSF 补偿的高阶 GRF 观察器(HOGO)无需预先获取身体运动和负载分布数据即可进行 GRF 观察。与传统的 GRF 观察相比,拟议的框架可以确定作用于髋关节的虚拟有效载荷,同时确保精确的 GRF 监测,而无需辅助传感器。实验证明,在未知 HLR 身体运动和负载信息的情况下,拟议框架的 GRF 观测结果优于传统方法。
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引用次数: 0
High-fidelity modelling of lubricated transmissions using a coupled finite element approach 使用耦合有限元方法对润滑变速器进行高保真建模
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.mechmachtheory.2024.105695
Sander Neeckx, Bart Blockmans, Régis Boukadia, Frank Naets, Wim Desmet

This work presents a high-fidelity lubricated transmission model, coupling Flexible MultiBody (FMB) dynamics with ElastoHydrodynamic Lubrication (EHL). The EHL model is discretised with a coupled finite element approach, in contrast with the more iteration-intensive finite difference approach using relaxation schemes. The finite element method yields nonlinear system matrices, requiring matrix reevaluation in each iteration. To mitigate computational overhead, tensorisation replaces integrals to compute the system matrices with tensor-vector multiplications. Furthermore, this work optimises the use of the discretised EHL model by scaling and reusing it across different contact conditions. Coupling of the contact force resulting from the EHL model with the rigid body displacement resulting from the FMB model enables the computation of steady-state equilibrium for a given torque applied to the gear pair. However, local deformations should be excluded from the FMB model to ensure proper coupling with the EHL model, which exclusively computes local deformation within the contact zone. Newly developed global line contact attachment modes allow the FMB model to exclusively calculate global tooth bending in response to a given contact force.

这项研究提出了一种高保真润滑传动模型,将柔性多体动力学(FMB)与弹性流体动力润滑(EHL)结合起来。与使用松弛方案的迭代密集型有限差分法相比,EHL 模型采用耦合有限元方法离散化。有限元方法会产生非线性系统矩阵,需要在每次迭代中对矩阵进行重新评估。为了减少计算开销,张量计算以张量向量乘法取代积分来计算系统矩阵。此外,这项工作还优化了离散 EHL 模型的使用,在不同的接触条件下对其进行缩放和重复使用。将 EHL 模型产生的接触力与 FMB 模型产生的刚体位移耦合起来,就能计算出施加到齿轮副上的给定扭矩的稳态平衡。然而,FMB 模型应排除局部变形,以确保与 EHL 模型的正确耦合,后者只计算接触区域内的局部变形。新开发的全局线接触附着模式允许 FMB 模型专门计算给定接触力下的全局轮齿弯曲。
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引用次数: 0
Redundant non-serial compound manipulator kinematics and dynamics 冗余非串行复合机械手运动学和动力学
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.mechmachtheory.2024.105717
Edward J. Haug

Redundant non-serial compound manipulators with closed kinematic and actuator loops that enhance precision control and load carrying capacity are treated. Generalized coordinates and associated holonomic constraints that account for kinematic and actuator closed loops and singularity free representation of orientation of spatial manipulator bodies augment input and output coordinates in the kinematic formulation. Disjoint assembly components and path connected singularity free assembly components of manipulator configuration space are defined, in which manipulator kinematics and dynamics can be reliably carried out. A set-valued inverse kinematic configuration mapping is derived, with which compound redundant manipulators are shown to be locally cyclic. A new system of manipulator operational coordinates comprised of output and self-motion coordinates are defined and shown to be equivalent to input coordinates in representation of manipulator kinematics and dynamics. Well-posed ordinary differential equations of manipulator dynamics in both input and operational coordinates are presented that require no ad-hoc derivation. Five model manipulators illustrate applications involved and theoretical methods presented.

本研究对具有闭合运动学和致动器回路的冗余非串行复合机械手进行了处理,从而提高了控制精度和承载能力。考虑到运动学和致动器闭合回路的广义坐标和相关整体工程学约束,以及空间机械手本体方位的无奇异性表示,增强了运动学表述中的输入和输出坐标。在机械手配置空间中定义了不相交的装配组件和无路径连接奇点的装配组件,在这些组件中可以可靠地执行机械手运动学和动力学。推导出了一种集值逆运动学配置映射,证明了复合冗余机械手是局部循环的。定义了由输出坐标和自运动坐标组成的新机械手操作坐标系,并证明该坐标系在表示机械手运动学和动力学时等同于输入坐标。在输入坐标和运行坐标中提出了操纵器动力学的求解良好的常微分方程,无需临时推导。五个机械手模型展示了相关应用和理论方法。
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引用次数: 0
Type synthesis of novel 1R, 2R, 1R1T, and 2R1T hybrid RCM mechanisms based on topological arrangement and modular design method 基于拓扑排列和模块化设计方法的新型 1R、2R、1R1T 和 2R1T 混合 RCM 机构的类型合成
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.mechmachtheory.2024.105692
Rongfu Lin , Weizhong Guo , Shing Shin Cheng

Remote center motion (RCM) mechanisms play a significant role in minimally invasive surgery (MIS) to provide geometric constraints to the surgical tool motion. To satisfy the rapid diversified development of the surgical robot in various environment, especially in the head coil, MRI room or other enclosed confined space, this paper focuses on the type synthesis of hybrid-RCM mechanisms using the topological arrangement and modular design method (TAMD). Firstly, the concepts of TAMD are proposed systematically for type synthesis of general hybrid mechanisms. Secondly, TAMD is applied towards the type synthesis of RCM mechanisms to generate their topological arrangement and motion characteristic relationships. Thirdly, main module and secondary modules are designed for RCM mechanisms of four different motions (i.e., 1R, 2R, 1R1T, and 2R1T) based on the proposed topological arrangement. Numerous novel 1R, 2R, 1R1T, and 2R1T RCM mechanisms are then proposed by assembling these main and secondary modules. Finally, one typical case for each motion of RCM mechanisms is taken as an example to validate its motion capability.

远程中心运动(RCM)机构在微创手术(MIS)中发挥着重要作用,为手术工具的运动提供几何约束。为了满足手术机器人在各种环境下,尤其是在头线圈、核磁共振室或其他封闭密闭空间内的快速多样化发展,本文重点采用拓扑排列和模块化设计方法(TAMD)对混合 RCM 机构进行类型综合。首先,系统地提出了 TAMD 的概念,用于一般混合机构的类型合成。其次,将 TAMD 应用于 RCM 机构的类型合成,以生成其拓扑排列和运动特征关系。第三,根据提出的拓扑排列,为四种不同运动(即 1R、2R、1R1T 和 2R1T)的 RCM 机构设计了主模块和辅助模块。然后,通过组装这些主模块和次模块,提出了许多新颖的 1R、2R、1R1T 和 2R1T RCM 机制。最后,以每个 RCM 机构运动的一个典型案例为例,验证其运动能力。
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引用次数: 0
Softening nonlinear-stiffness elastic mechanism with continuous adjustability for human–robot interaction force control 用于人机交互力控制的可连续调节的软化非线性刚度弹性机构
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.mechmachtheory.2024.105704
Zhixin Tu , Haifeng Liu , Yihao Jiang , Tao Ye , Yuepeng Qian , Yuquan Leng , Jian S. Dai , Chenglong Fu

Human–robot interaction of human augmentation robots presents a considerable challenge in achieving accurate and robust interaction force control. This paper proposes a novel softening nonlinear elastic mechanism with continuous adjustability (SNEMA) to address this challenge. The SNEMA achieves softening stiffness behavior through a nonlinear mapping relationship between the lengths of the diamond diagonals. This unique stiffness profile, featuring high stiffness for low output and low stiffness for high output, strikes a balance between the output force range and force resolution. Moreover, the continuous and convenient adjustment of the stiffness profile is realized by utilizing two antagonistic linear springs, enabling optimal stiffness matching for different output force ranges. Bench tests were conducted to validate the stiffness modeling and evaluate the force tracking and interaction performance of the developed SNEMA. Experimental results demonstrate the capability of the SNEMA to achieve precise force control and good collision safety in human–robot interaction. The proposed SNEMA is finally deployed on the Centaur robot to demonstrate its advantages in practical application.

人体增强机器人的人机交互在实现精确、稳健的交互力控制方面面临着相当大的挑战。本文提出了一种具有连续可调性的新型软化非线性弹性机构(SNEMA)来应对这一挑战。SNEMA 通过菱形对角线长度之间的非线性映射关系实现软化刚度行为。这种独特的刚度曲线具有低输出高刚度和高输出低刚度的特点,在输出力范围和力分辨率之间取得了平衡。此外,通过使用两个对立的线性弹簧,可实现对刚度曲线的连续、方便的调整,从而在不同的输出力范围内实现最佳的刚度匹配。为了验证刚度建模,并评估所开发的 SNEMA 的力跟踪和交互性能,我们进行了台架试验。实验结果表明,SNEMA 能够在人机交互中实现精确的力控制和良好的碰撞安全性。最后,在 Centaur 机器人上部署了所提出的 SNEMA,以展示其在实际应用中的优势。
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引用次数: 0
Control of a painting robot containing parallelogram linkages based on its distinctive dynamic characteristics 基于独特的动态特性控制包含平行四边形联动装置的喷涂机器人
IF 5.2 1区 工程技术 Q1 Engineering Pub Date : 2024-06-07 DOI: 10.1016/j.mechmachtheory.2024.105702
Runtong Sun , Jun Wu , Yanling Tian

To achieve high-performance control, the dynamics and control should be closely integrated. This paper focuses on dynamic-based control design for a hybrid painting robot containing parallelogram linkages to improve its tracking accuracy and motion consistency. The study derives the dynamics of the parallelogram component to investigate its distinctive attributes, which include time invariance, joint independence, and linear approximability. Based on these unique characteristics, a novel theory-experiment mixed two-step method for control design is presented. It involves identifying and visualizing an optimized space of control parameters through theoretical deduction, followed by determining the optimal control parameters within this space through experimental trials. Experimental results underscore a substantial improvement in the tracking accuracy and motion consistency of the painting robot.

为实现高性能控制,应将动力学与控制紧密结合。本文主要针对包含平行四边形连杆的混合喷涂机器人进行基于动态的控制设计,以提高其跟踪精度和运动一致性。该研究推导了平行四边形部件的动力学特性,以研究其独特的属性,包括时间不变性、关节独立性和线性可近似性。基于这些独特属性,研究提出了一种新颖的理论-实验混合两步控制设计方法。该方法包括通过理论推导确定控制参数的优化空间并将其可视化,然后通过试验确定该空间内的最佳控制参数。实验结果表明,喷漆机器人的跟踪精度和运动一致性都有了显著提高。
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引用次数: 0
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Mechanism and Machine Theory
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