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Flagellar swimming at low Reynolds numbers: zoospore-inspired robotic swimmers with dual flagella for high-speed locomotion. 鞭毛游泳在低雷诺数:动物孢子启发机器人游泳与双鞭毛高速运动。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-28 DOI: 10.1088/1748-3190/ae1e4b
Nnamdi C Chikere, Sofia Lozano Voticky, Quang D Tran, Yasemin Ozkan-Aydin

Traditional locomotion strategies fail in low-Reynolds-number fluid environments, where viscous forces dominate over inertial forces. Microorganisms have developed specialized structures such as cilia and flagella to overcome this challenge, enabling efficient movement through highly resistive environments. Among these organisms,Phytophthorazoospores demonstrate unique locomotion mechanisms that allow them to rapidly spread and attack new hosts while expending minimal energy. In this study, we present the design, fabrication, and testing of a zoospore-inspired robot, which leverages dual flexible planar flagella and oscillatory propulsion mechanisms to emulate the natural swimming behavior of zoospores. Our experiments and theoretical model reveal that both flagellar shape and oscillation frequency strongly influence the robot's propulsion speed, with longer flagella and higher frequencies yielding enhanced performance. Additionally, the anterior flagellum, which generates a pulling force on the body, is dominant in enhancing propulsion efficiency compared to the posterior flagellum's pushing force. This is a significant experimental finding, as it would be challenging to observe directly in biological zoospores, which spontaneously release the posterior flagellum when the anterior flagellum detaches. This work contributes to the development of advanced microscale robotic systems with potential applications in medical, environmental, and industrial fields. It also provides a valuable platform for studying biological zoospores and their unique locomotion strategies.

传统的运动策略在低雷诺数流体环境中失效,因为粘性力比惯性力更重要。微生物已经发展出专门的结构,如纤毛和鞭毛,以克服这一挑战,使其能够在高阻力环境中高效移动。在这些生物中,textit{疫霉游动}孢子表现出独特的运动机制,使它们能够在消耗最小能量的情况下迅速传播和攻击新宿主。在这项研究中,我们设计、制造和测试了一个受游动孢子启发的机器人,它利用双柔性平面鞭毛和振荡推进机制来模拟游动孢子的自然游泳行为。我们的实验和理论模型表明,鞭毛形状和振荡频率对机器人的推进速度都有很大的影响,鞭毛越长,频率越高,机器人的推进速度越快。此外,与后鞭毛的推力相比,前鞭毛对身体产生拉力,在提高推进效率方面起主导作用。这是一个重要的实验发现,因为在生物游动孢子中直接观察是具有挑战性的,当前鞭毛脱落时,游动孢子会自发释放后鞭毛。这项工作有助于开发先进的微型机器人系统,在医疗、环境和工业领域具有潜在的应用前景。这也为研究生物游动孢子及其独特的运动策略提供了一个有价值的平台。
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引用次数: 0
Hydrodynamics and flow perception mechanism of side-by-side Harbour seal whiskers in wake flow. 尾流中相邻海港海豹须的流体力学及流动感知机制。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-27 DOI: 10.1088/1748-3190/ae1fc7
Hanghao Zhao, Zhimeng Zhang, Chunning Ji, Xianghe Li

Harbour seal whiskers, characterised by their wavy morphology and elliptical cross-section, are capable of perceiving minute flow velocities as low as 10-4m s-1. This study investigates the hydrodynamics and flow perception mechanisms of three elastically mounted whiskers arranged side-by-side in the wake of a caudal fin, using direct numerical simulations. The whiskers are spaced at centre-to-centre distances ofS/D= 2-4, whereSis the inter-whisker spacing andDis the equivalent narrow-face diameter of whisker model. The vibration responses, hydrodynamic forces, wake patterns, energy transfer mechanisms, and flow-sensing performance of the whiskers were analysed. Two distinct wake-whisker interaction patterns are identified, governed by the side-by-side spacing: (Ⅰ) partially-interacted pattern (S/D⩽ 2), in which the upstream caudal fin vortexes bypass the side whiskers, leading to a direct impact on the side whiskers only; (Ⅱ) fully-interacted pattern (S/D> 2), in which the vortexes are able to pass through the gap between the whiskers, allowing all three whiskers to interact with the wake. The energy transfer analysis reveals that the spanwise and chordwise vortexes of caudal fin selectively enhance or suppress whisker vibrations depending on their relative rotation directions, leading to distinct excitation patterns across different spacing configurations. An optimal wake flow perception is achieved atS/D= 3 through lift-vorticity correlation and mutual information analyses under the studied conditions.

斑海豹须具有波浪状形态和椭圆截面的特征,能够感知低至10-4 m/s的微小流速。本研究采用直接数值模拟的方法,研究了在尾鳍尾流中并排排列的三个弹性安装须的流体力学和流动感知机制。晶须的中心间距为S/D = 2 ~ 4,其中S为晶须间间距,D为晶须模型的等效窄面直径。分析了晶须的振动响应、水动力、尾迹分布、能量传递机制和流量传感性能。两种不同的尾鳍-须相互作用模式被识别出来,由并排间距控制:(Ⅰ)部分相互作用模式(S/D≤2),其中上游尾鳍涡绕过侧须,导致只对侧须产生直接影响;(Ⅱ)完全相互作用模式(S/D >2),其中涡能够通过须之间的间隙,允许所有三个须与尾流相互作用。能量传递分析表明,尾鳍的展向涡和弦向涡根据其相对旋转方向选择性地增强或抑制须振动,从而导致不同间距配置下不同的激励模式。通过升力涡度相关分析和互信息分析,在S/D = 3时获得了最优尾流感知。
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引用次数: 0
Mechanical properties and energy absorption characteristics of the self-similar structure in spiral shells. 螺旋壳自相似结构的力学性能和吸能特性。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-26 DOI: 10.1088/1748-3190/ae0dd0
Zhanhong Guo, Na Han, Meng Zou, Yansong Liu, Jing Liu

The multi-scale hierarchical structure of the conch shell exhibits exceptional mechanical properties, earning it the reputation as nature's natural armor. Based on structural bionics, this study investigates the self-similar three-dimensional structure of conch shells and analyzes their effects on energy absorption (EA). The universal testing machine results demonstrate that the shell specimens exhibit distinct mechanical properties under different loading conditions. Under transverse compression testing, the gastropod shells showed an average peak load of 442.55 N, compressive strength of 110.62 MPa, and Young's modulus of 13.36 GPa. In axial compression tests, the shells displayed an average peak load of 412.16 N with a mean crushing force of 219.79 N. A mathematical 3D model of the conch was developed based on geometric formulas, complemented by scanner-based sample digitization and reverse reconstruction. Multiphysics simulation tools enabled optimization of key conch topology parameters (α,β,r0,a,b), while response surface modeling quantified parameter-EA correlations. The optimized structural parameters were determined asα= 86.6,β= 12.2,r0= 92.5,a= 27.5,b= 37.5.The performance metrics of this structure are as follows: SEAoptim= 13.38 J g-1, MCFoptim= 13.08 kN, CFEoptim= 0.45, and ULCoptim= 0.33.Our findings establish that energy dissipation performance in conch shells is fundamentally linked to their fractal-like self-similar organization. These findings provide crucial theoretical foundations and experimental references for the optimized design of bio-inspired energy-absorbing structures.

海螺壳的多尺度分层结构表现出卓越的机械性能,赢得了大自然天然盔甲的美誉。基于结构仿生学,研究了海螺壳的自相似三维结构,并分析了其对能量吸收的影响。在相似理论的指导下,选取螺旋壳试件,沿宏观取向方向分析结构特征,采用万能试验机进行力学试验。横向压缩试验表明,横向抗压强度与孔径厚度和总高度相关,杨氏模量在10 ~ 15 GPa之间。轴压试验表明,壳体在破坏过程中呈递进式断裂模式,并伴有非线性变形。基于几何公式建立了海螺的数学三维模型,并辅以基于扫描仪的样品数字化和反向重建。理论模型、重建的数字模型和物理标本之间的交叉验证证实了海螺几何公式的准确性。多物理场仿真工具可以优化关键的海螺拓扑参数(α, β, r0, a, b),而响应面建模可以量化参数与能量吸收的相关性。优化后的结构参数为α=86.6, β=12.2, r0=92.5, a=27.5, b=37.5。我们的研究结果表明,海螺壳的能量耗散性能从根本上与它们的分形自相似组织有关。这些研究结果为仿生吸能结构的优化设计提供了重要的理论基础和实验参考。
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引用次数: 0
Rat robot autonomous border detection based on wearable sensors. 基于可穿戴传感器的大鼠机器人自主边界检测。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-26 DOI: 10.1088/1748-3190/ae0ee8
Haobo Xie, Haoze Xu, Kedi Xu, Chaonan Yu, Wei Yang, Canjun Yang

Bio-robots, a novel type of robot based on a brain-machine interface, have shown great potential in search and rescue tasks. Current research is focused on the bio-robot itself, such as locomotion, localization and navigation, but lacks interactions with the external environment. In this paper we propose a new system that allows a rat robot to autonomously explore the border of an unknown field out of sight and then obtain the boundary map. We invented a wearable backpack, which is an embedded system with laser-ranging sensors, inertial measurement units and an ultra-wide band (UWB) module, for the rat robot. Based on the wearable system, a classification method for motion states based on the random forest algorithm and a navigation algorithm based on a finite state machine were developed for the autonomous exploration of the border and tested in a locomotion experiment. With the localization and distance data from the UWB module and laser-ranging sensors, we mapped the distribution of the border using the Ramber-Douglas-Peucker algorithm. The results show that this system could effectively navigate the rat robot to explore the field and accurately detect the border. The accuracy of classification reaches 97.86% and the error rate of border detection is 5.90%. This work provides a novel technology that has potential for practical applications such as prospecting for minerals and search tasks.

生物机器人是一种基于脑机接口的新型机器人,在搜救任务中显示出巨大的潜力。然而,目前的研究主要集中在生物机器人本身,如运动、定位和导航,而缺乏与外部环境的交互。在本文中,我们提出了一种新的大鼠机器人系统,用于自动探索未知领域的边界,并获得边界地图。我们为老鼠机器人发明了一种可穿戴背包,它是一个内置激光测距传感器、IMU和超宽带(UWB)模块的嵌入式系统。基于可穿戴系统,提出了一种基于随机森林(RF)的运动状态分类方法和一种基于有限状态机(FSM)的导航算法,并在运动实验中进行了验证。此外,利用超宽带和激光测距传感器的定位和距离数据,采用RDP (Ramber-Douglas-Peucker)算法绘制了边界的分布。实验结果表明,该系统能够有效地引导大鼠机器人进行野外探测,并准确地检测出边界。分类准确率达到97.86%,边界检测错误率为5.90%。这项工作提供了一种具有实际应用潜力的新技术,如矿产勘探和搜索任务。
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引用次数: 0
Dynamics and energetics of dual-spring force couples in torque reversal systems. 转矩反转系统中双弹簧力偶的动力学和能量学。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-24 DOI: 10.1088/1748-3190/ae191b
Samuel H Smullen, Ryan St Pierre

Latch-mediated spring actuation systems leverage the interplay of springs and latches to rapidly accelerate a load. In biological systems, elastic energy is often distributed across multiple structures, resulting in forces applied from multiple springs. Here, we specifically examine dual-spring force couples in torque reversal systems. A dual-spring force couple applies forces from recoiling springs at two locations to generate torque. Torque reversal systems transition from spring loading to spring actuation through a change in torque direction. We develop a mathematical model of a dual-spring force couple in a torque reversal system, where one spring is attached to the pivot point of a rigid body. During spring loading, this spring compresses to store elastic energy; during spring actuation, it recoils, driving pivot translation and contributing to rotation. We experimentally validate the model using a physical model. We then vary geometric parameters and the energy partition between the two springs to examine how these factors shape system dynamics. We show how variations in geometry and energy partition influence the rotational, translational and coupling terms in the mathematical model. Finally, we demonstrate that the energetics of these systems must be carefully accounted for to accurately capture how potential energy is transformed into kinetic energy. We hypothesize that dual-spring force couples in torque reversal systems may be prevalent in biological organisms, and that insights from this work can guide the design of spring-actuated mechanisms in robotics.

闭锁介导的弹簧驱动(LaMSA)系统利用弹簧和闭锁的相互作用来快速加速负载。在生物系统中,弹性能量通常分布在多个结构上,从而产生来自多个弹簧的力。在这里,我们专门研究扭矩反转系统中的双弹簧力偶。双弹簧力耦合器在两个位置应用来自后坐力弹簧的力来产生扭矩。转矩反转系统通过改变转矩方向从弹簧加载过渡到弹簧驱动。我们在转矩反转系统中建立了一个双弹簧力偶的数学模型,其中一个弹簧附着在刚体的枢轴点上。在弹簧加载时,弹簧压缩以储存弹性能;在弹簧驱动期间,它反冲,驱动枢轴平移并促进旋转。我们用物理模型对模型进行了实验验证。然后,我们改变几何参数和两个弹簧之间的能量分配,以检查这些因素如何塑造系统动力学。我们展示了几何和能量分配的变化如何影响数学模型中的旋转、平动和耦合项。最后,我们证明了这些系统的能量学必须仔细考虑,才能准确地捕捉到势能如何转化为动能。我们假设扭矩反转系统中的双弹簧力偶可能在生物有机体中普遍存在,并且从这项工作中获得的见解可以指导机器人中弹簧驱动机构的设计。
{"title":"Dynamics and energetics of dual-spring force couples in torque reversal systems.","authors":"Samuel H Smullen, Ryan St Pierre","doi":"10.1088/1748-3190/ae191b","DOIUrl":"10.1088/1748-3190/ae191b","url":null,"abstract":"<p><p>Latch-mediated spring actuation systems leverage the interplay of springs and latches to rapidly accelerate a load. In biological systems, elastic energy is often distributed across multiple structures, resulting in forces applied from multiple springs. Here, we specifically examine dual-spring force couples in torque reversal systems. A dual-spring force couple applies forces from recoiling springs at two locations to generate torque. Torque reversal systems transition from spring loading to spring actuation through a change in torque direction. We develop a mathematical model of a dual-spring force couple in a torque reversal system, where one spring is attached to the pivot point of a rigid body. During spring loading, this spring compresses to store elastic energy; during spring actuation, it recoils, driving pivot translation and contributing to rotation. We experimentally validate the model using a physical model. We then vary geometric parameters and the energy partition between the two springs to examine how these factors shape system dynamics. We show how variations in geometry and energy partition influence the rotational, translational and coupling terms in the mathematical model. Finally, we demonstrate that the energetics of these systems must be carefully accounted for to accurately capture how potential energy is transformed into kinetic energy. We hypothesize that dual-spring force couples in torque reversal systems may be prevalent in biological organisms, and that insights from this work can guide the design of spring-actuated mechanisms in robotics.</p>","PeriodicalId":55377,"journal":{"name":"Bioinspiration & Biomimetics","volume":" ","pages":""},"PeriodicalIF":3.0,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145402909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Path planning of locust-inspired jumping robots in obstacle-dense environments using curriculum reinforcement learning. 基于课程强化学习的蝗虫跳跃机器人在障碍物密集环境中的路径规划。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-14 DOI: 10.1088/1748-3190/ae1a29
Qijie Zhou, Gangyang Li, Zhiqiang Yu, Hao Wen, Haibo Luo, Qing Shi

Biologically-inspired jumping robots have demonstrated remarkable adaptability in complex environments, making them increasingly valuable across various fields. However, effective path planning in obstacle-dense environments for large-scale jumping robots remains a significant challenge. Inspired by independent decision-making in the efficient collaborative behavior of locust swarms, we propose a two-stage curriculum reinforcement learning (TS-CRL) framework for locust-inspired jumping robots. This framework enables individual robots to autonomously determine actions based on local environmental observations during group crossing tasks. TS-CRL incorporates a population-invariant encoder with an attention mechanism, allowing it to efficiently handle an increased number of training robots. Moreover, it employs an actor-critic network architecture based on Kolmogorov-Arnold networks to enhance training performance. To further improve the training efficiency, we divided the policy training process into two stages with gradually increasing environmental complexity. The effectiveness and scalability of TS-CRL were validated through a locust-inspired jumping robot platform in challenging simulation scenarios. Notably, TS-CRL can generate efficient, collision-free paths to guide multiple jumping robots. Compared with typical reinforcement learning algorithms, TS-CRL reduced the average path cost by 13.7% and markedly improved the success rate of robots in reaching the target areas. Finally, we constructed a multi-robot system consisting of locust-inspired jumping robots for experiments in the real world.

受生物启发的跳跃机器人在复杂环境中表现出卓越的适应性,使它们在各个领域越来越有价值。然而,大型跳跃机器人在障碍物密集环境中的有效路径规划仍然是一个重大挑战。受蝗虫群高效协作行为中的独立决策启发,我们提出了一种基于蝗虫的跳跃机器人两阶段课程强化学习(TS-CRL)框架。该框架使单个机器人能够在群体穿越任务中根据当地环境观察自主决定行动。TS-CRL结合了一个具有注意力机制的种群不变编码器,使其能够有效地处理越来越多的训练机器人。此外,它采用基于Kolmogorov-Arnold网络(KAN)的演员评论网络架构来提高训练性能。为了进一步提高培训效率,我们将政策培训过程分为两个阶段,环境复杂性逐渐增加。在具有挑战性的仿真场景中,通过蝗虫启发的跳跃机器人平台验证了TS-CRL的有效性和可扩展性。值得注意的是,TS-CRL可以生成高效、无碰撞的路径来引导多个跳跃机器人。与典型的强化学习算法相比,TS-CRL平均路径成本降低了13.7%,显著提高了机器人到达目标区域的成功率。最后,我们构建了一个由蝗虫启发的跳跃机器人组成的多机器人系统,用于现实世界的实验。
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引用次数: 0
Mobot mobot: an ocean sunfish (Mola mola) robot. 机器人机器人
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-14 DOI: 10.1088/1748-3190/ae0bd8
Reid Wynja, Adrian Carleton, Sudhansh Tanneru, Yahya Modarres-Sadeghi

The Ocean Sunfish (Mola mola) has one of the most unusual body geometries and swimming strategies of all fish species. Effectively lacking a caudal fin, these fish propel themselves by synchronized flapping of their extremely long dorsal and anal fins-a form of locomotion known as median/paired fin (MPF). Long misunderstood to be poor swimmers,Mola molaare increasingly being recognized for their surprising swimming efficiency and agility. MPF propulsion can be modeled as a combination of pitching and heaving in a hydrofoil, a well-studied phenomenon, and the mechanical simplicity of these motions lend themselves well to the creation of compact and robust propulsion systems. Here, we present a novel bio-inspired marine robotic test platform based on the body geometry and swimming strategy of theMola mola. We analyze the forces generated by various flapping frequencies and patterns (synchronous and asynchronous), and the flow behavior for both single flap events and continuous flapping. We observe that there is a linear trend between flapping frequency and thrust force for both synchronous and asynchronous flapping up to the maximum frequencies obtainable with the current design. We then test the flapping parameters resulting in the highest thrust forces for both flapping patterns in a free-swimming arrangement and show that the synchronous flapping results in larger steady-state swimming speed.

海洋翻车鱼(Mola Mola)拥有所有鱼类中最不寻常的身体几何形状和游泳策略之一。这些鱼实际上没有尾鳍,它们通过同步拍打它们极长的背鳍和肛门鳍来推动自己——一种被称为中鳍/配对鳍(MPF)振荡的运动形式。翻车鱼长期被误解为游泳能力差的动物,但它们惊人的游泳效率和敏捷性正越来越多地得到人们的认可。MPF振荡可以建模为水翼中的俯仰和起伏的组合,这是一种被充分研究的现象,这些运动的机械简单性使它们能够很好地创建紧凑而坚固的推进系统。在此,我们提出了一种基于翻车鱼身体几何形状和游泳策略的仿生海洋机器人测试平台。我们分析了不同频率和模式(同步和异步)的扑动所产生的力,以及单次扑动和连续扑动的流动行为。我们观察到,在当前设计的最大频率范围内,同步和异步扑动频率与推力之间存在线性趋势。然后,我们测试了在自由游泳布置下两种襟翼模式产生最大推力的襟翼参数,并表明同步襟翼导致更大的稳态游泳速度。
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引用次数: 0
Repeatable energy-efficient perching for flapping-wing robots using soft-grippers. 使用软夹持器的扑翼机器人的可重复节能栖息。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-12 DOI: 10.1088/1748-3190/ae18a8
Krispin C V Broers, Sophie F Armanini

With the emergence of new flapping-wing micro aerial vehicle (FWMAV) designs, a need for extensive and advanced mission capabilities arises. FWMAVs try to adapt and emulate the flight features of birds and flying insects. While current designs already achieve high manoeuvrability, they still almost entirely lack perching and take-off capabilities. These capabilities would enable long-term monitoring and surveillance operations, and more complex and multifaceted missions in cluttered environments. We present the development and testing of a framework that enables repeatable perching and take-off for small- to medium-sized FWMAVs, utilising soft, non-damaging grippers. Thanks to its novel active-passive actuation system, an energy-conserving state can be achieved and indefinitely maintained while the vehicle is perched. This actuation system is inspired by the digital tendon locking mechanism observed in perching birds and allows for high gripping power and minimal energy usage with a low weight penalty. A prototype of the proposed system weighing under 39 g was manufactured and extensively tested on a 110 g flapping-wing robot. Successful free-flight tests demonstrated the full mission cycle of landing, perching and subsequent take-off. The telemetry data recorded during the flights yields extensive insight into the system's behaviour and is a valuable step towards full automation and optimisation of the entire take-off and landing cycle.

随着新型扑翼微型飞行器(FWMAV)设计的出现,对广泛和先进的任务能力的需求出现了。FWMAVs试图适应和模仿鸟类和飞虫的飞行特征。虽然目前的设计已经实现了高机动性,但它们仍然几乎完全缺乏停泊和起飞能力。这些能力将使长期监测和监视行动,以及在混乱环境中更复杂和多方面的任务成为可能。我们提出了一种框架的开发和测试,该框架可以利用柔软的、无损伤的抓手,为中小型FWMAVs实现可重复的停泊和起飞。由于其新颖的主动被动驱动系统,可以实现节能状态,并无限期地保持,而车辆停放。这种驱动系统的灵感来自于在栖息的鸟类中观察到的数字肌腱锁定机制,可以实现高抓握力和最小的能量消耗,并且重量损失小。该系统的原型重量在39克以下,并在一个110克的扑翼机器人上进行了广泛的测试。成功的自由飞行试验展示了着陆、停泊和随后起飞的完整任务周期。在飞行过程中记录的遥测数据可以深入了解系统的行为,是实现整个起飞和着陆周期完全自动化和优化的重要一步。
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引用次数: 0
Dynamical modeling of torso stability in running via hip-knee three pairs of six springs. 基于髋-膝三对六弹簧的跑步躯干稳定性动力学建模。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-10 DOI: 10.1088/1748-3190/ae13c9
Hidaka Asai, Tomoyuki Noda, Jun Morimoto

Prior spring-mass locomotion models achieve stable gaits by prescribing a constant touchdown angle (TD angle) during the flight phase; however, they either exclude torso modeling or depend on online state feedback to stabilize the pitch angle of the torso. In contrast, evidence from biology and robotics suggests that coordinating monoarticular and biarticular hip-knee muscles supports whole-body stability with the simplified controller without online state feedback. However, this has only been verified through empirical and constructive approaches, rather than through dynamical modeling. To verify this hypothesis, we propose a new mathematical dynamical model, torso-hip-knee three pairs of six springs, a planar locomotion model that consists of a torso and coordinated springs imitating a three-pair six-muscle structure in the upper leg. The proposed dynamical model achieves stable running solely by giving a constant TD angle and a constant kicking angle relative to the torso, which control the dynamics during the flight and stance phases respectively. Numerical analysis utilizing Floquet multipliers demonstrates that self-stability emerges across stiffness parameters of coordinated springs. These results constitute the first mathematical evidence that muscle coordination, including biarticular muscles, can stabilize torso pitch during locomotion and provide guidelines for legged-robot design and rehabilitation assessment.

先前的弹簧质量运动模型通过在飞行阶段规定一个恒定的着陆角来实现稳定的步态;然而,它们要么排除躯干建模,要么依赖在线状态反馈来稳定躯干的俯仰角。相比之下,来自生物学和机器人技术的证据表明,单关节和双关节髋关节-膝关节肌肉的协调可以通过简化的控制器支持全身稳定性,而无需在线状态反馈。然而,这只能通过经验和建设性的方法来验证,而不是通过动态建模。为了验证这一假设,我们提出了一个新的数学动力学模型——躯干-髋关节-膝关节三对六弹簧(THK-3P6S),这是一个由躯干和协调弹簧组成的平面运动模型,模仿了大腿的三对六肌肉结构。所提出的动力学模型仅通过给定一个恒定的着地角和一个恒定的相对于躯干的踢脚角来实现稳定的运行,这两个角分别控制着飞行和站立阶段的动力学。利用Floquet乘法器进行的数值分析表明,协调弹簧在各刚度参数上都具有自稳定性。这些结果构成了肌肉协调(包括双关节肌肉)可以在运动过程中稳定躯干俯仰的第一个数学证据,并为有腿机器人的设计和康复评估提供指导。
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引用次数: 0
Running on empty: locomotor compensation preserves fish schooling under hypoxia and informs principles for bioinspired swarms. 空跑:运动补偿保护鱼类在缺氧下的游动,并告知生物启发群的原理。
IF 3 3区 计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-11-06 DOI: 10.1088/1748-3190/ae17fd
Yuchen Gong, Robert Sterling, Xuewei Qi, Fidji Berio, Otar Akanyeti, Valentina Di Santo

Environmental stressors such as hypoxia challenge the balance between individual physiological performance and the coordination required for collective behaviors like schooling. Here, we investigate how glass catfish (Kryptopterus vitreolus) modulate locomotor and group-level behavior across a gradient of oxygen saturation (95%-20%) while swimming steadily at a constant cruising speed. We found that tailbeat frequency decreased significantly with declining oxygen (p < 0.0001), alongside reductions in wave speed (p = 0.007). Tailbeat amplitude, by contrast, increased significantly under hypoxia (p < 0.0001), and posterior segment angles showed a slight, non-significant increase, consistent with modestly greater tail bending. Despite these changes, the Strouhal number remained fairly constant, and waveform topology was conserved. School structure, including nearest-neighbor distance and distance to the center of the school, remained stable across oxygen treatments, but with significant variation across individual schools. A clear behavioral threshold was observed below 25% oxygen saturation, beyond which coordinated schooling deteriorated. These findings demonstrate that glass catfish employ internally coordinated, energetically economical kinematic adjustments to preserve group cohesion under metabolic constraint. This strategy highlights a decentralized mechanism for sustaining collective behavior near physiological limits and offers biologically-grounded insights relevant to energy-aware coordination in bioinspired swarms.

缺氧等环境压力源挑战了个体生理表现与集体行为(如上学)所需的协调之间的平衡。在这里,我们研究了玻璃鲶鱼(Kryptopterus vitreolus)在以恒定巡航速度稳定游泳时,如何在氧饱和度(95%至20%)的梯度下调节运动和群体行为。我们发现,随着氧气的减少,尾拍频率显著降低(p< 0.0001),同时波速也降低(p= 0.007)。相比之下,在缺氧条件下,尾拍幅度显著增加(p< 0.0001),多节段体模型的后节角也显著增加,表明尾部区域的屈曲增强。尽管有这些变化,斯特罗哈尔数保持相当恒定,并且波形拓扑是守恒的。学校结构,包括最近邻居距离和到学校中心的距离,在不同的氧处理中保持稳定,但在各个学校之间存在显著差异。在25%血氧饱和度以下观察到一个明确的行为阈值,超过这个阈值协调学习就会恶化。这些发现表明,玻璃鲶鱼在代谢约束下采用内部协调、能量经济的运动调节来保持群体凝聚力。该策略强调了一种分散的机制,以维持接近生理极限的集体行为,并提供了与生物启发群体中能量意识协调相关的生物学基础见解。
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Bioinspiration & Biomimetics
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