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Modified control variates method based on second-order saddle-point approximation for practical reliability analysis 基于二阶鞍点近似的改进控制变量法用于实际可靠性分析
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-19 DOI: 10.5194/ms-14-439-2023
Xinong En, Yimin Zhang, Xianzhen Huang
Abstract. A novel method is presented for efficiently analyzing the reliability of engineering components and systems with highly nonlinear complex limit state functions. The proposed method begins by transforming the integral of the limit state function into an integral of a highly correlated limit state function using the control variates method. The second-order reliability method is then employed within the control variates framework to approximate the highly correlated limit state function as a quadratic polynomial. Subsequently, the probability of failure is obtained through the estimation of the saddle-point approximation and a small number of samples generated by Latin hypercube sampling. To demonstrate the effectiveness of the proposed method, four examples involving mathematical functions and mechanical problems are solved. The results are compared with those obtained using the second-order reliability method (SORM), control variates based on Monte Carlo simulation (CVMCS) with second-order saddle-point approximation (SOSPA), importance sampling (IS) and Monte Carlo simulation (MCS). The findings demonstrate that, while maintaining high-precision reliability results, the proposed method significantly reduces the number of evaluations of the limit state function through a small number of initial samples. The method is capable of efficiently and accurately solving complex practical engineering reliability problems.
摘要提出了一种有效分析具有高度非线性复杂极限状态函数的工程部件和系统可靠性的新方法。该方法首先利用控制变量法将极限状态函数的积分转化为高度相关极限状态函数的积分。然后在控制变量框架内采用二阶可靠度方法将高度相关的极限状态函数近似为二次多项式。随后,通过鞍点近似和拉丁超立方体采样产生的少量样本估计得到失效概率。为了验证所提方法的有效性,我们对四个涉及数学函数和力学问题的算例进行了求解。结果与二阶可靠度法(SORM)、二阶鞍点近似法(SOSPA)、重要抽样法(IS)和蒙特卡罗模拟法(MCS)得到的结果进行了比较。研究结果表明,该方法在保持高精度可靠性结果的同时,通过少量初始样本显著减少了极限状态函数的评估次数。该方法能够有效、准确地解决复杂的实际工程可靠性问题。
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引用次数: 0
Wearable ankle assistance robot for a human walking with different loads 可穿戴式踝关节辅助机器人,用于不同负载的人类行走
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-11 DOI: 10.5194/ms-14-429-2023
Junqiang Li, Kuan Yang, Dong Yang
Abstract. To reduce energy consumption while a human is walking with different loads, an active energy storage mechanism and a gait cycle prediction method are proposed, and then a wearable ankle assistance robot is developed. A motor, a clutch, and elastic rods are placed strategically in the active energy storage mechanism to achieve energy storage and release. During the period when the ankle does not generate torque, the clutch is closed, and the elastic rods are driven by the motor to produce deformation for energy storage. When the ankle generates torque, the motor is stopped and the clutch is opened, and then energy is released. Assisted force is transmitted to the human heel by a flexible transmission device to achieve walking assistance. The deformation length of the elastic rods can be changed to achieve assisted force adjustment for different loads. Based on the hip angular displacement and heel pressure, the gait cycle can be obtained with the proposed prediction method, and then assistance control can be achieved. Consequently, the development of a wearable ankle assistance robot is realized, a walking assistance experiment with different loads is completed, and the net metabolic cost is used to indicate the energy consumption. The experimental results show that the net metabolic cost of the participants is reduced by averages of 5.30 %, 5.67 %, and 4.84 % with 0, 4, and 8 kg loads respectively. The reduced net metabolic costs are compared with other research results; the reduced net metabolic costs are close to the others, but the motor power in this work is lower.
摘要为了降低人体在不同负荷下行走时的能量消耗,提出了一种主动能量存储机制和步态周期预测方法,并在此基础上研制了可穿戴式踝关节辅助机器人。在主动储能机构中策略性地放置电机、离合器和弹性杆,实现能量的储存和释放。在踝关节不产生扭矩期间,离合器闭合,由电机驱动弹性杆产生变形进行储能。当踝关节产生扭矩时,电机停止,离合器打开,然后释放能量。辅助力通过柔性传动装置传递到人体脚后跟,实现辅助行走。可改变弹性杆的变形长度,实现对不同载荷的辅助力调节。基于髋关节角位移和足跟压力,利用所提出的预测方法获得步态周期,进而实现辅助控制。因此,实现了可穿戴踝关节辅助机器人的研制,完成了不同载荷下的行走辅助实验,并以净代谢成本表示能量消耗。实验结果表明,负荷0、4和8 kg时,参与者的净代谢成本分别平均降低5.30%、5.67%和4.84%。将降低的净代谢成本与其他研究结果进行了比较;减少的净代谢成本与其他方法接近,但本工作中的电机功率较低。
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引用次数: 1
Motion planning and control strategy of a cable-driven body weight support gait training robot 缆索驱动体重支撑步态训练机器人的运动规划与控制策略
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-09 DOI: 10.5194/ms-14-413-2023
Tao Qin, Qianpeng Wang, Wei Su, Chao Wei, Yanduo Zhang, Jianwei Zhang
Abstract. In this paper, a cable-driven body weight support gait training robot (C-BWSGTR) that provides patients with partial body weight support as well as a kind of stable gait training driving force was designed; this device enabled those patients to walk again. Firstly, the overall configuration of the C-BWSGTR was determined, and the structural composition and working principle of the robot were established. Secondly, the vector algebra method was applied to carry out the kinematic analysis and establish the mathematical model of the C-BWSGTR. The displacement of each cable during the patient gait training was also calculated. Thirdly, the motion planning of the C-BWSGTR was carried out in stages, using the time–phase distribution relationship based on an S-shaped speed curve. Meanwhile, the displacement, speed, and acceleration of each cable during the patient gait training were calculated and corresponding change curves were generated. Finally, a position servo composite control strategy for the C-BWSGTR was designed by analyzing the robot's dynamic characteristics of the forward channel transfer function. The simulation analysis and prototype experiment in this paper verified that the designed composite position servo control strategy can meet the requirements of the system with respect to stability and a fast response of the system to the loading command.
摘要本文设计了一种缆索驱动的体重支撑步态训练机器人(C-BWSGTR),为患者提供部分体重支撑和一种稳定的步态训练驱动力;这个装置使那些病人又能走路了。首先,确定了C-BWSGTR的总体构型,建立了机器人的结构组成和工作原理。其次,采用矢量代数方法对C-BWSGTR进行运动学分析,建立其数学模型;同时计算患者步态训练过程中每根缆索的位移。第三,采用基于s型速度曲线的时相分布关系,分阶段进行C-BWSGTR的运动规划。同时,计算患者步态训练过程中各缆索的位移、速度和加速度,生成相应的变化曲线。最后,通过分析机器人前向通道传递函数的动态特性,设计了C-BWSGTR的位置伺服复合控制策略。仿真分析和样机实验验证了所设计的复合位置伺服控制策略能够满足系统的稳定性和对加载指令的快速响应要求。
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引用次数: 0
Optimal resource allocation method and fault-tolerant control for redundant robots 冗余机器人的最优资源分配方法及容错控制
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-06 DOI: 10.5194/ms-14-399-2023
Yu Rong, Tianci Dou, Xingchao Zhang
Abstract. Resource coordination and allocation strategies are proposed to reduce the probability of failure by aiming at the problem that the robot cannot continue to work after joint failure. Firstly, the principal component analysis method under unsupervised branches in machine learning is used to analyze the reliability function and various indexes of the robot to obtain the comprehensive evaluation function. Then, based on the fault-tolerant-control inverse-kinematics optimal algorithm, each joint can be scheduled by weighted processing. Finally, the comprehensive evaluation function is used as an index to evaluate the probability of fault occurrence, and the weight is defined to realize the coordinated resource allocation of redundant robots. Taking the planar four revolute joints (4R) redundant robot as an example, the algorithm control is compared. Based on reasonable modeling and physical verification, the results show that the method of optimal resource coordination and allocation is effective.
摘要针对关节失效后机器人无法继续工作的问题,提出了降低失效概率的资源协调与分配策略。首先,利用机器学习中无监督分支下的主成分分析法,对机器人的可靠性函数和各项指标进行分析,得到机器人的综合评价函数;然后,基于容错控制逆运动学优化算法,通过加权处理对各关节进行调度。最后,利用综合评价函数作为评价故障发生概率的指标,并定义权重,实现冗余机器人的资源协调分配。以平面四转动关节(4R)冗余机器人为例,对算法控制进行了比较。在合理建模和实物验证的基础上,验证了资源优化协调与配置方法的有效性。
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引用次数: 0
Assembly of reconfigurable Bricard-like mechanisms to form a multimode deployable arch 装配可重构的类砖卡机构,形成多模态可展开拱
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-09-29 DOI: 10.5194/ms-14-387-2023
Ruiming Li, Xianhong Zhang, Shuo Zhang, Ran Liu, Yan-an Yao
Abstract. This paper deals with the construction of a novel family of multimode deployable mechanisms based on reconfigurable Bricard-like mechanisms. By connecting a number of identical threefold-symmetric (TFS) Bricard-like mechanisms, a multimode deployable arch is proposed for the first time, which can switch between the scissor-like deployable mode and the arch deformable mode through the transition configuration. Then new multimode center-driven deployable mechanisms can be obtained by connecting three and six multimode deployable arches. The obtained mechanism can switch between the scissor-like deployable mode and spherical deformable mode, and it can be reassembled by adjusting the number of TFS Bricard-like mechanisms to change its size. Finally, physical prototypes of the multimode deployable arch and multimode center-driven deployable mechanisms are fabricated and tested to validate the feasibility of the proposed approach and analysis.
摘要本文讨论了一种基于可重构类布里卡德机构的新型多模可展开机构的构造。通过连接多个相同的三折对称类布卡德机构,首次提出了一种多模态可展开拱,该拱可以通过过渡构型在类剪刀可展开模式和拱可变形模式之间切换。然后通过连接3个和6个多模可展开拱,得到新的多模中心驱动展开机构。所得到的机构可以在类剪刀可展开模式和球形可变形模式之间切换,并且可以通过调整TFS类布卡德机构的数量来改变其大小进行重新组装。最后,制作了多模可展开拱和多模中心驱动展开机构的物理样机并进行了测试,以验证所提方法和分析的可行性。
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引用次数: 0
Design and error compensation of a 3-degrees-of-freedom cable-driven hybrid 3D-printing mechanism 三自由度电缆驱动混合3d打印机构的设计与误差补偿
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-09-08 DOI: 10.5194/ms-14-371-2023
Sen Qian, Xiao Jiang, Yong Liu, Shuaikang Wang, Xiantao Sun, Huihui Sun
Abstract. In large-scale 3D additive manufacturing (AM), rigid printing mechanisms exhibit high inertia and inadequate load capacity. In this paper, a fully constrained 3-degrees-of-freedom (DOFs) cable-driven hybrid mechanism (CDHR) is developed. A vector analysis method considering error compensation in the pulley system is proposed for analysing the kinematics and dynamics. To address the cable-driven mechanism's strict cable force range requirement, a prescribed-performance controller (PPC) with an adaptive auxiliary system is designed for the nonlinear cable system to enhance the stability and motion accuracy of the end-effector. The stability of the control system is proven using the Lyapunov function. A physical simulation environment using Simscape is developed to verify the vector analysis method and the PPC. Subsequently, an experimental prototype of a 3-DOF CDHR is developed. The results of the error compensation experiment and the prescribed-performance controller experiment demonstrate a 93.321 % reduction in maximum plane error and a 95.376 % reduction in maximum height error for the PPC considering error compensation compared to the non-compensation trajectory. Finally, a double-layer clay-printing experiment is conducted to validate the feasibility of the mechanism.
摘要在大规模3D增材制造(AM)中,刚性打印机构表现出高惯性和不足的负载能力。本文提出了一种全约束三自由度索驱动混合机构。为了分析皮带轮系统的运动学和动力学,提出了一种考虑误差补偿的矢量分析方法。为了满足缆索驱动机构对缆索力范围的严格要求,为提高末端执行器的稳定性和运动精度,为非线性缆索系统设计了一种具有自适应辅助系统的规定性能控制器。利用李雅普诺夫函数证明了控制系统的稳定性。使用Simscape开发了一个物理仿真环境来验证矢量分析方法和PPC。随后,开发了一个三自由度CDHR的实验样机。误差补偿实验和规定性能控制器实验的结果表明 % 最大平面误差的减小和95.376 % 与非补偿轨迹相比,考虑误差补偿的PPC的最大高度误差的减小。最后,通过双层粘土印花实验验证了该机理的可行性。
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引用次数: 0
Multi-objective optimization design of parallel manipulators using a neural network and principal component analysis 基于神经网络和主成分分析的并联机器人多目标优化设计
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-09-06 DOI: 10.5194/ms-14-361-2023
Chao Yang, Peijiao Li, Yang Wang, Wei Ye, Tianze Sun, Fengli Huang, Hui Zhang
Abstract. In this work, a multi-objective optimization design method is proposed based on principal component analysis (PCA) and a neural network to obtain a mechanism's optimal comprehensive performance. First,multi-objective optimization mathematical modeling, including designparameters, objective functions, and constraint functions, is established.Second, the sample data are obtained through the design of the experiment(DOE) and are then standardized to eliminate the adverse effects of anon-uniform dimension of objective functions. Third, the first k principal components are established for p performance indices (k
摘要提出了一种基于主成分分析(PCA)和神经网络的多目标优化设计方法,以获得机构的最优综合性能。首先,建立包括设计参数、目标函数和约束函数在内的多目标优化数学模型;其次,通过实验设计(DOE)获得样本数据,然后进行标准化,以消除目标函数维数不均匀的不利影响。第三,利用基于方差的主成分分析法对p个绩效指标(k
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引用次数: 0
A vision-based robotic system following the human upper-limb sewing action 基于视觉的人体上肢缝纫机器人系统
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-08-31 DOI: 10.5194/ms-14-347-2023
Liming Zhang, Xiaohua Wang, Haoyi Wang, Pengfei Li
Abstract. In human–robot collaborative sewing, the robot follows the sewing action of a worker to complete the corresponding sewing action, which can enhance production efficiency. When the robot follows the sewing action of the worker through interactive information, it still faces the problem of low accuracy. In order to improve the accuracy of the robot following the sewing action, a human upper-limb sewing-action-following system based on visual information is designed in this paper. The system is composed of an improved OpenPose model, Gaussian mixture model (GMM), and Gaussian mixture regression (GMR). In the system, an improved OpenPose model is used to identify the sewing action of the human upper limb, and the label fusion method is used to correct the joint point labels when the upper limb is covered by fabric. Then the GMM is used to encode each motion element and time to obtain the regression work of the Gaussian component. GMR is adopted to predict connections between moving elements and generate sewing motion trajectories. Finally, the experimental verification and simulation are carried out in the experimental platform and simulation environment of the collaborative robot. The experimental results show that the tracking error angle can be controlled within 0.04 rad in the first 2 s of robot movement. Therefore, it can be considered that the sewing-action-following system can realize higher precision and promote the development of human–robot collaboration technology to a certain extent.
摘要在人机协同缝制中,机器人跟随工人的缝制动作完成相应的缝制动作,可以提高生产效率。当机器人通过交互信息跟随工人的缝纫动作时,仍然面临着精度低的问题。为了提高机器人跟随缝制动作的精度,本文设计了一种基于视觉信息的人体上肢缝制动作跟随系统。该系统由改进的OpenPose模型、高斯混合模型(GMM)和高斯混合回归(GMR)组成。该系统采用改进的OpenPose模型对人体上肢的缝制动作进行识别,并采用标签融合方法对上肢被织物覆盖时的连接点标签进行校正。然后利用GMM对各运动元素和时间进行编码,得到高斯分量的回归功。采用GMR预测运动单元之间的连接,生成缝纫运动轨迹。最后,在协作机器人的实验平台和仿真环境中进行了实验验证和仿真。实验结果表明,在机器人运动的前2 s内,跟踪误差角可控制在0.04 rad以内。因此,可以认为缝制动作跟随系统可以实现更高的精度,在一定程度上促进了人机协作技术的发展。
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引用次数: 0
Noise analysis and optimization of the gear transmission system for two-speed automatic transmission of pure electric vehicles 纯电动汽车双速自动变速器齿轮传动系统噪声分析与优化
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-08-28 DOI: 10.5194/ms-14-333-2023
Z.-Y.ab Shi, Shikai Liu, H. Yue, Xiaoxiao Wu
Abstract. In this study, the noise of the gear transmission system for two-speed automatic transmission (2EAT) of pure electric vehicles was analyzed and optimized. Firstly, through vehicle noise tests, poor working conditions and noise contribution of each gear pair were determined with the order analysis method. Secondly, a dynamics calculation model and a simulation model of the gear transmission system were established and the poor meshing state of the main reducer gear pair under specific conditions was determined as the main cause of noise. Finally, a genetic algorithm combined the weight method was used for gear modification. After gearmodifications, the fluctuation range of transmission error was reduced andthe contact condition of the tooth surface was significantly improved.
摘要本研究对纯电动汽车双速自动变速器(2EAT)齿轮传动系统的噪声进行了分析和优化。首先,通过车辆噪声试验,利用阶次分析法确定各齿轮副的不良工况和噪声贡献;其次,建立了齿轮传动系统的动力学计算模型和仿真模型,确定了特定条件下主减速器齿轮副啮合不良是产生噪声的主要原因;最后,采用遗传算法结合权值法对齿轮进行修形。改齿后传动误差波动范围减小,齿面接触状况明显改善。
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引用次数: 0
Gait analysis algorithm for lower limb rehabilitation robot applications 步态分析算法在下肢康复机器人中的应用
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-08-09 DOI: 10.5194/ms-14-315-2023
Li Zheng, Tao Song
Abstract. When patients with lower limb dyskinesia use robots forrehabilitation training, gait parameters are of great significance fordisease diagnosis and rehabilitation evaluation. Gait measurement is usuallycarried out by using optical motion capture systems, pressure plates and soon. However, it is difficult to apply these systems to lower limbrehabilitation robots due to their high price, limited scope and wearingrequirements. At the same time, most of the current applications in robotsfocus on the basic gait parameters (such as step length and step speed) forrobot control or user intention recognition. Therefore, this paper proposesan online gait analysis algorithm for lower limb rehabilitation robots,which uses a lidar sensor as the gait dataacquisition sensor. The device is installed on the lower limb rehabilitation robot, which not only avoids the problems of decline in the detectionaccuracy and failure of leg tracking caused by lidar placement on theground, but it also calculates seven gait parameters, such as step length, stride length, gait cycle and stance time, with high precision in real time. At thesame time, the walking track of the patient may not be straight, and thelidar coordinate system is also changed due to the movement of the lowerlimb rehabilitation robot when the patient moves forward. In order toovercome this situation, a spatial parameter-splicing algorithm based ona time series is proposed to effectively reduce the error impact on gaitspatiotemporal parameters. The experimental results show that the gaitanalysis algorithm proposed in this paper can measure the gait parameterseffectively and accurately. Except for the swing time and double supporttime, which are calculated with large relative errors due to their smallvalues, the relative errors of the remaining gait parameters are kept below8 %, meeting the requirements of clinical applications.
摘要下肢运动障碍患者在使用机器人进行康复训练时,步态参数对疾病诊断和康复评估具有重要意义。步态测量通常使用光学运动捕捉系统、压力板等进行。然而,由于这些系统的价格高、范围有限和要求苛刻,很难将其应用于下肢康复机器人。同时,目前机器人的大多数应用都集中在机器人控制或用户意图识别的基本步态参数(如步长和步长)上。因此,本文提出了一种基于激光雷达传感器作为步态数据采集传感器的下肢康复机器人步态在线分析算法。该装置安装在下肢康复机器人上,不仅避免了激光雷达在地面上放置导致检测精度下降和腿部跟踪失败的问题,而且实时计算出步长、步长、步态周期和站立时间等7个步态参数,精度高。同时,患者的行走轨迹可能不直,当患者向前移动时,由于下肢康复机器人的移动,也会改变dar坐标系。为了克服这种情况,提出了一种基于时间序列的空间参数拼接算法,有效地减少了误差对步态时空参数的影响。实验结果表明,本文提出的步态分析算法能够有效、准确地测量步态参数。除了摆动时间和双支撑时间由于其值较小而计算出较大的相对误差外,其余步态参数的相对误差保持在8以下 %, 满足临床应用的要求。
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引用次数: 0
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Mechanical Sciences
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