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Type synthesis of non-overconstrained and overconstrained two rotation and three translation (2R3T) parallel mechanisms with three branched chains 具有三个支链的非超约束和超约束两旋三移(2R3T)并行机制的类型合成
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-20 DOI: 10.5194/ms-14-567-2023
Yu Rong, X. Zhang, Tianci Dou, Hongbo Wang
Abstract. In this paper, a new synthesis method of 2R3T (R denotes rotation and T denotes translation) overconstrained and non-overconstrained parallel mechanisms (PMs) with three branched chains based on the displacement sub-manifold method is presented. Firstly, the displacement sub-manifolds of mechanisms were determined based on 2R3T motions. Subsequently, the displacement sub-manifolds of the branched chains were derived using the displacement sub-manifold theory, and their corresponding motion diagrams were provided. Additionally, a comprehensive analysis of non-overconstrained 2R3T PMs with a single-constraint branched chain was conducted, and the type synthesis of overconstrained 2R3T PMs with two or three identical constraints was also performed, accompanied by the presentation of partial mechanism diagrams. Finally, the number of DOF (degrees of freedom) of the mechanism was calculated using the modified Kutzbach–Grübler equation for a new PMs,and the screw theory was used to verify the kinematic characteristics, proving this new method's correctness.
摘要本文提出了一种基于位移子曲面法的 2R3T(R 表示旋转,T 表示平移)过约束和非过约束三支链并联机构(PM)的新合成方法。首先,基于 2R3T 运动确定了机构的位移子漫游。随后,利用位移子芒福德理论推导出了支链的位移子芒福德,并提供了相应的运动图。此外,还对具有单约束支链的非过约束 2R3T PM 进行了综合分析,并对具有两个或三个相同约束的过约束 2R3T PM 进行了类型综合,同时给出了部分机构图。最后,利用修正的库茨巴赫-格吕布勒方程计算了新永磁材料的机构 DOF(自由度)数,并利用螺杆理论验证了其运动特性,证明了这一新方法的正确性。
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引用次数: 0
Machining distortion control of long beam parts based on optimal design of transition structure 基于过渡结构优化设计的长梁零件加工变形控制
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-15 DOI: 10.5194/ms-14-557-2023
Long-Xin Fan, Ning Han, Yi Zhang
Abstract. In the machining of monolithic components, machining distortion is a severe issue. The presence of initial residual stress is a major contributor to machining distortion. This paper proposes an approach to control the machining distortion of long beam parts by optimizing the workpiece structure before the start of the finishing stage, i.e. the transition structure. The first step is to establish a machining distortion analytical model for long beam parts with an identical cross-section, which is based on reasonable assumptions such as material linear elasticity and ignoring the influence of cutting heat. Then, an optimization model for the cross-section of the transition structure is developed, with the objective function defined as the minimum difference between the predicted distortion of the final part and the transition structure. Finally, a U-shaped beam is designed, followed by numerical simulation and machining experiments for verification. The theoretical maximum distortion of the optimized transition structure and the final part are −0.174 and −0.1782 mm, respectively, with a relative error of 2.9 %. The results of machining experiments and finite-element simulation demonstrate the effectiveness of the proposed model.
摘要在整体部件的加工过程中,加工变形是一个严重的问题。初始残余应力的存在是造成加工变形的主要原因。本文提出了一种通过优化精加工阶段开始前的工件结构(即过渡结构)来控制长梁零件加工变形的方法。第一步是建立横截面相同的长梁零件的加工变形分析模型,该模型基于合理的假设,如材料线弹性和忽略切削热的影响。然后,建立过渡结构横截面的优化模型,目标函数定义为最终零件与过渡结构预测变形之间的最小差值。最后,设计了一个 U 形梁,并进行了数值模拟和加工实验验证。优化后的过渡结构和最终零件的理论最大变形分别为-0.174 毫米和-0.1782 毫米,相对误差为 2.9%。加工实验和有限元模拟的结果证明了所提模型的有效性。
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引用次数: 0
Study on a grinding force model of a variable grinding contact area during knife-edge surface grinding 刀刃平面磨削过程中可变磨削接触区的磨削力模型研究
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-13 DOI: 10.5194/ms-14-531-2023
Baohua Yu, Tianfeng Lou, Dongwei Chen, Jie Rui, Wenliang Li, Yuepeng Chen
Abstract. ​​​​​​​In the context of non-standard blade geometries of knife-like tools with tapered cutting edges where the width of the blade surface varies with feed, there is limited research on predicting grinding forces considering the changing contact line. To enhance the accuracy of predicting grinding forces during the blade surface grinding of knife-like tools, a novel analytical-regression correction method is proposed. This method employs an analytical approach to analyze the varying contact line between the grinding wheel and the tool during grinding, enabling the determination of irregularly shaped grinding contact zones. By introducing exponential coefficients related to the grinding contact line, a regression analysis is employed to refine a variable edge-width grinding force model. In comparison to the conventional constant contact line blade surface grinding force prediction, this model is better suited for non-standard blade geometries of knife-like tools in grinding processes. Results indicate that the average relative error between the predicted values from the variable edge-width grinding force model and the actual measurements remains within 9 %, thereby validating the model's effectiveness in predicting grinding forces.
摘要对于具有锥形切削刃的非标准刀类工具的刀刃几何形状,即刀刃表面宽度随进给量变化而变化的情况,考虑到接触线变化而预测磨削力的研究十分有限。为了提高刀类工具刀片表面磨削过程中磨削力预测的准确性,我们提出了一种新颖的分析-回归修正方法。该方法采用分析方法来分析磨削过程中砂轮和刀具之间不断变化的接触线,从而确定不规则形状的磨削接触区。通过引入与磨削接触线相关的指数系数,采用回归分析来完善可变边宽磨削力模型。与传统的恒定接触线刀片表面磨削力预测相比,该模型更适用于磨削过程中刀类工具的非标准刀片几何形状。结果表明,可变刃宽磨削力模型的预测值与实际测量值之间的平均相对误差保持在 9% 以内,从而验证了该模型在预测磨削力方面的有效性。
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引用次数: 0
Stochastic stability and the moment Lyapunov exponent for a gyro-pendulum system driven by a bounded noise 有界噪声驱动的陀螺摆系统的随机稳定性和矩 Lyapunov 指数
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-13 DOI: 10.5194/ms-14-545-2023
Shenghong Li, Junting Lv
Abstract. The stochastic stability of a gyro-pendulum system parametrically excited by a real noise is investigated by the moment Lyapunov exponent in the paper. Using the spherical polar and non-singular linear stochastic transformations and combining these with Khasminskii's method, the diffusion process and the eigenvalue problem of the moment Lyapunov exponent are obtained. Then, applying the perturbation method and Fourier cosine series expansion, we derive an infinite-order matrix whose leading eigenvalue is the second-order expansion g2(p) of the moment Lyapunov exponent. Thus, an infinite sequence for g2(p) is constructed, and its convergence is numerically verified. Finally, the influences of the system and noise parameters on stochastic stability are given such that the stochastic stability is strengthened with the increased drift coefficient and the diffusion coefficient has the opposite effect; among the system parameters, only the increase in k and A0 strengthens moment stability.
摘要本文利用矩 Lyapunov 指数研究了由实噪声参数激励的陀螺摆系统的随机稳定性。利用球极和非星形线性随机变换并结合哈明斯基方法,得到了矩 Lyapunov 指数的扩散过程和特征值问题。然后,运用扰动法和傅里叶余弦级数展开,我们得出了一个无穷阶矩阵,其前导特征值就是矩 Lyapunov 指数的二阶展开 g2(p)。因此,我们构建了 g2(p) 的无穷序列,并对其收敛性进行了数值验证。最后,给出了系统参数和噪声参数对随机稳定性的影响,即随着漂移系数的增大,随机稳定性增强,而扩散系数的影响则相反;在系统参数中,只有 k 和 A0 的增大能增强矩稳定性。
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引用次数: 0
Application of cell mapping to control optimization for an antenna servo system on a disturbed carrier 将小区映射应用于干扰载波上天线伺服系统的控制优化
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-11-28 DOI: 10.5194/ms-14-519-2023
Zhui Tian, Yongdong Cheng
Abstract. The cell-mapping method, due to its global optimality, has been applied to solve multi-objective optimization problems (MOPs) and optimal control problems. However, the curse of dimensionality limits its application in high-dimensional systems. In this paper, the multi-parameter sensitivity analysis is investigated to reduce the parameter space dimension, which broadens the application of cell mapping to MOPs in high-dimensional parameter space. A post-processing algorithm for MOPs is introduced to help choose proper control parameters from the Pareto set. The proposed scheme is applied successfully in the control parameter optimization of an adaptive nonsingular terminal sliding-mode control for an antenna servo system on a disturbed carrier. Moreover, as the existing global optimal tracking control with an adjoining cell-mapping method may generate tracking-phase differences, an optimal-sliding-mode combined-control strategy is proposed. By using the combined-control strategy, the azimuth and pitch angles of the antenna system are controlled to catch up to a target trajectory with the minimum cost function and to keep high-precision tracking after that.
摘要单元映射法因其全局最优性,已被用于解决多目标优化问题(MOPs)和最优控制问题。然而,维数诅咒限制了它在高维系统中的应用。本文研究了多参数灵敏度分析,以降低参数空间维度,从而拓宽了单元映射在高维参数空间中 MOP 的应用。研究还引入了一种澳门威尼斯人官网程后处理算法,以帮助从帕累托集合中选择合适的控制参数。所提出的方案被成功应用于干扰载波上天线伺服系统的自适应非正弦终端滑模控制的控制参数优化。此外,由于现有的全局最优跟踪控制与邻接单元映射方法可能会产生跟踪相位差,因此提出了一种最优滑模组合控制策略。通过使用组合控制策略,控制天线系统的方位角和俯仰角,以最小的成本函数追赶目标轨迹,并在追赶目标轨迹后保持高精度跟踪。
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引用次数: 0
Structural design and jumping motion planning of the jumping leg inspired by a goat's hindlimb 受山羊后肢启发的跳跃腿结构设计和跳跃运动规划
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-11-21 DOI: 10.5194/ms-14-493-2023
Gang Chen, Longxin He, Zhihan Zhao, Yuwang Lu, Jiajun Tu, Xiangying Ren, Hanzhi Lv
Abstract. At present, research on bionic jumping robots mainly focuses on imitating various jumping animals, such as kangaroos, frogs, or locusts. These bionic objects have good jumping ability. The goat, as one of these with a moderate size and a strong jumping ability, is very suitable as a prototype to imitate jumping. In this study, first, a simplified serial joint model that imitates a goat's hindlimb is proposed with a comparison analysis of its physiological structure. Then, a jumping leg mechanism that imitates a goat's hindlimb was designed. Second, the kinematics of the goat-inspired jumping leg were constructed to describe the relationship between joint angles and foot positions. Additionally, we used a cubic polynomial to plan the trajectory of the jumping process to achieve a smooth jumping movement based on the characteristics of the goat's jumping, with position and speed constraints during the jump. Thus, we established a smooth jumping trajectory model of the goat-inspired jumping leg. Finally, experiments on the jumping of the goat-inspired jumping leg were conducted. The goat-inspired jumping leg has good jumping performance. In this study, we took the goat's hindlimbs as the bionic model, proposed the goat-inspired jumping leg mechanism, and presented the jumping trajectory planning theory for smooth jumping of the goat-inspired jumping leg. These provide new ideas for the study of bionic jumping legs and can effectively promote further development of bionic jumping robots.
摘要目前,仿生跳跃机器人的研究主要集中在模仿各种跳跃动物,如袋鼠、青蛙或蝗虫。这些仿生对象都具有良好的跳跃能力。山羊是其中体型适中、跳跃能力较强的一种,非常适合作为模仿跳跃的原型。本研究首先通过对山羊后肢生理结构的对比分析,提出了模仿山羊后肢的简化串联关节模型。然后,设计了一个模仿山羊后肢的跳跃腿机构。其次,我们构建了山羊启发跳跃腿的运动学模型,以描述关节角度和脚部位置之间的关系。此外,我们还根据山羊跳跃的特点,使用三次多项式来规划跳跃过程的轨迹,以实现平滑的跳跃运动,并在跳跃过程中对位置和速度进行限制。由此,我们建立了山羊启发跳跃腿的平滑跳跃轨迹模型。最后,我们进行了山羊启发跳跃腿的跳跃实验。山羊启发跳跃腿具有良好的跳跃性能。在这项研究中,我们以山羊后肢为仿生模型,提出了山羊启发跳跃腿机制,并提出了山羊启发跳跃腿平稳跳跃的跳跃轨迹规划理论。这些都为仿生跳跃腿的研究提供了新思路,可有效促进仿生跳跃机器人的进一步发展。
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引用次数: 0
Assistance control strategy for upper-limb rehabilitation robot based on motion trend 基于运动趋势的上肢康复机器人辅助控制策略
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-11-21 DOI: 10.5194/ms-14-503-2023
Haojun Zhang, Tao Song, Leigang Zhang
Abstract. Robot-assisted rehabilitation has proven to improve a subject's upper-extremity motor function. However, it is still challenging to control the robot to provide minimal assistance based on the subject's performance. This paper proposes a motion-trend-based assistance control strategy to solve this problem. The control strategy provides the corresponding normal and tangential forces by constructing an adaptive virtual assistance force field around a predetermined training trajectory. In the normal direction, a performance function based on the position-tracking error and normal motion trend is established to adjust the normal assistance force field strength in real time; in the tangential direction, a performance function based on the tangential interaction force and tangential motion trend is established to adjust the tangential assistance force field strength in real time. Additionally, good motion trends can quickly reduce the assistance force field. The normal motion trend represents the state of the subject moving toward the target trajectory, and the tangential motion trend represents the state of increasing tangential interaction force. Finally, the performance of this control strategy was evaluated by training experiments with eight healthy subjects. Preliminary experiments showed that the normal assist force in the active movement phase was 92.48 % smaller than that in the poor phase, and the tangential assist force was 90.73 % smaller than that in the slack phase. And the normal assist force and tangential assist force will become zero within 0.2 s when the subject has a good tendency to move. This shows that the control strategy proposed in this paper can quickly adjust the assistance according to the subject's motor performance. In addition, the assistance can be quickly reduced when the subject has a good movement trend. Future work will incorporate OpenSim (muscle and bone simulation software) to develop a pathway suitable for the subject's arm rehabilitation.
摘要事实证明,机器人辅助康复可以改善受试者的上肢运动功能。然而,如何根据受试者的表现来控制机器人以提供最小程度的辅助仍是一项挑战。本文提出了一种基于运动趋势的辅助控制策略来解决这一问题。该控制策略通过围绕预定的训练轨迹构建自适应虚拟辅助力场,提供相应的法向力和切向力。在法线方向上,建立基于位置跟踪误差和法线运动趋势的性能函数,实时调整法线辅助力场强度;在切线方向上,建立基于切线相互作用力和切线运动趋势的性能函数,实时调整切线辅助力场强度。此外,良好的运动趋势可以快速降低辅助力场。正常运动趋势代表受试者向目标轨迹移动的状态,而切向运动趋势则代表切向相互作用力增加的状态。最后,通过对 8 名健康受试者进行训练实验,对这一控制策略的性能进行了评估。初步实验表明,主动运动阶段的法向辅助力比贫乏阶段小 92.48%,切向辅助力比松弛阶段小 90.73%。而当被试运动趋势良好时,法向辅助力和切向辅助力会在 0.2 秒内变为零。这表明本文提出的控制策略可以根据被试的运动表现快速调整辅助力。此外,当受试者运动趋势良好时,还可以快速减少辅助。未来的工作将结合 OpenSim(肌肉和骨骼模拟软件),开发出适合受试者手臂康复的路径。
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引用次数: 0
Gear injury equilibrium-oriented self-adjusted shifting strategy and advanced servo control 以齿轮损伤平衡为导向的自调整换挡策略和先进的伺服控制
IF 1.4 4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-11-20 DOI: 10.5194/ms-14-479-2023
Zhichao Lyu, Guangqiang Wu, Qiming Wang, Heqi Yan
Abstract. The application of a self-adjusted strategy has received increasing attention in current transmission design. This paper proposes a gear injury equilibrium oriented self-adjusted shifting strategy (EASS), which can make injury of different gears consistent. First, the injury value of different gears was judged in real time, and the working time of the gear with the largest injury value was reduced by adjusting the shift curve. Second, by considering key points as constraints, an optimal displacement trajectory for a synchronizer was proposed, and then a compound control method using adaptive nonsingular global fast-terminal sliding-mode control (AN-GFTSMC) was developed, which enables a high tracking performance and a better parameter perturbation rejection ability. Finally, both the simulation and real-vehicle experimental results showed that, compared with conventional control, the designed control strategy had good performance: response time was decreased, gear injury tended to be consistent, and transmission reliability was improved.
摘要在当前的变速器设计中,自调整策略的应用越来越受到重视。本文提出了一种面向挡位伤害平衡的自调整换挡策略(EASS),它可以使不同挡位的伤害值保持一致。首先,实时判断不同挡位的伤害值,通过调整换挡曲线减少伤害值最大的挡位的工作时间。其次,以关键点为约束条件,提出了同步器的最优位移轨迹,并开发了自适应非奇异全局快速末端滑模控制(AN-GFTSMC)的复合控制方法,实现了较高的跟踪性能和较好的参数扰动抑制能力。最后,仿真和实车实验结果表明,与传统控制相比,所设计的控制策略具有良好的性能:响应时间缩短,齿轮损伤趋于一致,传动可靠性提高。
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引用次数: 0
Experimental study on fingertip friction perception characteristics on ridged surfaces 脊状表面指尖摩擦感知特性的实验研究
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-25 DOI: 10.5194/ms-14-463-2023
Liyong Wang, Li Yang, Le Li, Jianpeng Wu, Qian Zou
Abstract. Fingertip friction perception characteristics have not formed a clear and complete theory, owing to the low repeatability and accuracy of related experiments. Given this, a novel experimental method is proposed based on ridged surfaces for investigating the fingertip friction perception characteristics. In this method, based on the Universal Mechanical Tester (UMT) TriboLab, the proposed experiment makes subjects touch ridged surfaces under different ridge sizes and lubrication conditions, aiming to obtain fingertip friction and subject judgment. Subsequently, the average friction force fluctuation degree and the tactile perception accuracy are calculated to analyze the friction characteristics. For this, the relationship between friction and perception characteristics is discussed further. The results show that the adhesive and the deformation friction forces, which mainly consist of the total friction force under incomplete contact conditions, decrease due to the lubricating oil. However, the adhesive friction force increases slightly as the ridge widens. In addition, when the ridge spacing is raised, the deformation friction force increases and becomes the dominant component, while the adhesive friction force is the opposite. While analyzing the friction characteristics, it is found that the tactile perception accuracy is enhanced by raising the average friction force fluctuation. Moreover, the tactile perception accuracy can be improved by changing the surface texture and lubrication conditions, due to the changes in fingertip friction characteristics.
摘要由于相关实验的重复性和准确性较低,指尖摩擦感知特性尚未形成清晰完整的理论。为此,提出了一种基于脊状表面的指尖摩擦感知实验方法。该方法基于通用机械测试仪TriboLab,在不同的脊大小和润滑条件下,让受试者触摸脊状表面,以获得指尖摩擦和受试者判断。然后,计算平均摩擦力波动度和触觉感知精度,分析摩擦特性。为此,进一步讨论了摩擦与感知特性之间的关系。结果表明:在不完全接触条件下,主要由总摩擦力组成的粘着力和变形摩擦力由于润滑油的加入而减小;然而,黏着摩擦力随着脊线的加宽略有增加。此外,当脊间距增加时,变形摩擦力增加并成为主导分量,而粘着摩擦力则相反。在分析摩擦特性的同时,发现增大平均摩擦力波动可以提高触觉感知精度。此外,由于指尖摩擦特性的改变,可以通过改变表面纹理和润滑条件来提高触觉感知精度。
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引用次数: 0
Finite-element method for the analysis of surface stress concentration factor and relative stress gradient for machined surfaces 机械加工表面应力集中系数和相对应力梯度的有限元分析方法
4区 工程技术 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-20 DOI: 10.5194/ms-14-451-2023
Guangtao Xu, Zeyuan Qiao, Shaokang Wu, Tianyi Liu, Minghao Zhao, Gang Wang
Abstract. Surface topography is an important parameter for evaluating the quality of surface machining, and the stress concentrations produced at notches can have a profound effect on the fatigue life of notched components. The stress concentration factor (SCF, Kt) and relative stress gradient (RSG, χ) are important parameters used to quantitatively characterize stress concentration. In this study, a finite-element (FE) method was used to evaluate the surface SCF and RSG and determine the effect of microscopic surface topography on machined surfaces. An FE simulation of the static tension test of V-notched round-bar specimens was performed, and the stress due to the local surface topography was investigated. The FE method was used to analyze the stress concentration of round-bar specimens with Kt=1, and the reliability of the results was verified using a perturbation method. The FE method was used to calculate the surface SCF and RSG with high accuracy. The surface SCF and RSG values increased with the surface roughness, and the local maximum values of the surface SCF and RSG were at the bottom of the local topography. Therefore, the SCF and RSG could be estimated based on a linear relationship involving average roughness.
摘要表面形貌是评价表面加工质量的重要参数,缺口处产生的应力集中对缺口件的疲劳寿命有深远的影响。应力集中系数(SCF, Kt)和相对应力梯度(RSG, χ)是定量表征应力集中的重要参数。在本研究中,采用有限元(FE)方法评估表面SCF和RSG,并确定微观表面形貌对加工表面的影响。对v形缺口圆杆试件进行了静态拉伸试验有限元模拟,研究了局部表面形貌引起的应力。采用有限元法对Kt=1的圆杆试件的应力集中进行了分析,并用摄动法验证了结果的可靠性。采用有限元法计算表面SCF和RSG,精度较高。地表SCF和RSG值随地表粗糙度的增大而增大,且局部最大值出现在地形底部。因此,SCF和RSG可以基于涉及平均粗糙度的线性关系来估计。
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引用次数: 0
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Mechanical Sciences
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