Analysis of Passive Walking Gait and Non-Synchronization of Combined Flexible Legged Rimless Wheels
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摘要:
提出了具有可变相位差的柔性腿组合无缘轮模型,通过调节系统初值,对模型被动行走步态进行了分析.通过观察模型在不同相位差时的运动步态,分析了改变相位差对模型行走步态的影响.首先,采用第二类Lagrange方法建立了具有可变相位差的柔性腿组合无缘轮动力学模型,通过调整初值,使模型运动步态能够在不同相位差条件下逐渐形成收敛的闭环极限环;其次,通过仿真实验对模型的典型步态进行了对比分析,注意到模型行走步态与初始相位差间存在着密切联系;最后,通过改变相位差,借助数值模拟和仿真实验验证了行走步态与初始相位差间的关系.结果表明:通过改变初始时刻前、后无缘轮支撑腿间的相位差,可以改变模型在斜坡上的周期运动步态,当相位差接近半髋角时,模型沿斜面运动的平均速率降低,但在垂直斜面方向上的颠簸程度较小,受到斜面法线方向的最大反向支撑力也较小.
Abstract:A combined flexible-legged rimless wheels model with variable phase difference was introduced for the analysis of passive walking gait by adjusting the initial value of the system. The model’s motions under various phase differences were simulated, and the effects of phase differences on the walking gait were investigated. Firstly, the 2nd-type Lagrangian method was used to establish a dynamic model for combined flexible legged rimless wheels with variable phase differences, and the initial value was adjusted to gradually form the convergent closed-loop limit cycle for the model motion gait under various phase differences. Secondly, the typical model gaits were simulated and comparatively analyzed to expose the close relationship between the model walking gait and the initial phase difference, which were verified through numerical experiments. The results show that, the variation of the phase differences between the rimless wheel support legs before and after the initial moments change the model periodical motion gait on the inclined plane. With a phase difference close to the half hip angle, the model average moving speed along the inclined plane will decrease, while the bump motion perpendicular to the inclined plane will be relatively small, and the maximum reverse support force in the normal direction of the inclined plane will also be relatively small.
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MCGEER T. Passive dynamic walking[J]. The International Journal of Robotics Research,1990,9(2): 62-82. [2]BLICKHAN R. The spring-mass model for running and hopping[J]. Journal of Biomechanics,1989,22(11/12): 1217-1227. [3]VISSER L C, STRAMIGIOLI S, CARLONI R. Robust bipedal walking with variable leg stiffness[C]//2012 4th IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob). Rome, Italy. IEEE, 2012: 1626-1631. [4]SMITH A C, BERKEMEIER M D. Passive dynamic quadrupedal walking[C]//Proceedings of International Conference on Robotics and Automation. Albuquerque, NM, USA: IEEE, 1997: 34-39. [5]REMY C D, BUFFINTON K, SIEGWART R. Stability analysis of passive dynamic walking of quadrupeds[J]. The International Journal of Robotics Research,2010,29(9): 1173-1185. [6]NAKATANI K, SUGIMOTO Y, OSUKA K. Demonstration and analysis of quadrupedal passive dynamic walking[J]. Advanced Robotics,2009,23(5): 483-501. [7]ASANO F. Stealth walking with reduced double-limb support phase and its extension to careful legged locomotion[J]. Multibody System Dynamics,2018,44(4): 421-447. [8]ASANO F, TOKUDA I. Indirectly controlled limit cycle walking of combined rimless wheel based on entrainment to active wobbling motion[J]. Multibody System Dynamics,2015,34: 191-210. [9]ASANO F, KAWAMOTO J. Modeling and analysis of passive viscoelastic-legged rimless wheel that generates measurable period of double-limb support[J]. Multibody System Dynamics,2014,31: 111-126. [10]王奇, 朱寅鑫, 牛培行, 等. 柔性扑翼翼型的气动性能仿真分析[J]. 应用数学和力学, 2022,43(5): 586-596.(WANG Qi, ZHU Yinxin, NIU Peixing, et al. Simulation of aerodynamic performances of flexible flapping wing airfoils[J]. Applied Mathematics and Mechanics,2022,43(5): 586-596.(in Chinese)) [11]MIYAMOTO H, IKEMATA Y, SANO A, et al. Passive running of rimless wheel with springs[C]//Mobile Robotics- Solutions and Challenges: The Twelfth International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines. Istanbul, Turkey: WORLD SCIENTIFIC, 2010: 269-276. [12]SKIBBE J. Analysis of phase shifts for a rimless wheel rover[C]//2021 IEEE Aerospace Conference (50100). Big Sky, MT, USA: IEEE, 2021: 1-7. [13]BUTTERFIELD J K, SIMHA S N, DONELAN J M, et al. The split-belt rimless wheel[J]. The International Journal of Robotics Research,2022,41(11/12): 1043-1076. [14]IWATANI Y. Dynamics of rimless wheel robots during collision[J]. SICE Journal of Control,Measurement,and System Integration,2022,15(1): 1-9. [15]IWATANI Y, TAKEI T. Steady locomotion in torso-actuated rimless wheel robots[J]. SICE Journal of Control,Measurement,and System Integration,2022,15(2): 99-108. [16]何昊然, 张奇志, 周亚丽. 平面被动粘弹性腿无缘轮的动力学建模及步态分析[J]. 北京信息科技大学学报(自然科学版), 2023,38(4): 1-8.(HE Haoran, ZHANG Qizhi, ZHOU Yali. Dynamic modeling and gait analysis of planar passive viscoelastic-legged rimless wheel[J]. Journal of Beijing Information Science & Technology University,2023,38(4): 1-8.(in Chinese)) [17]陈伟, 张奇志, 周亚丽. 组合弹性无缘轮半被动行走的混沌和同步分析[J]. 力学季刊, 2024,45(1): 132-143.(CHEN Wei, ZHANG Qizhi, ZHOU Yali. Chaos and synchronization analysis of semi-passive walking of combined elastic rimless wheels[J]. Chinese Quarterly of Mechanics,2024,45(1): 132-143.(in Chinese)) [18]包晏名, 张奇志, 周亚丽. 柔性腿无缘轮黏滞-滑动过程的被动动态行走运动特性分析[J]. 动力学与控制学报, 2024,22(7): 59-69.(BAO Yanming, ZHANG Qizhi, ZHOU Yali. Analysis of the kinematic characteristics of the passive dynamic walking stick-slip process of the flexible leg rimless wheel[J]. Journal of Dynamics and Control,2024,22(7): 59-69.(in Chinese)) [19]李光伟, 杨旗, 牛金辉, 等. 四足机器人倾斜平面运动稳定控制研究[J]. 机械工程与自动化, 2024(5): 1-4.(LI Guangwei, YANG Qi, NIU Jinhui, et al. Research on stability control of tilting plane motion of quadruped robot[J]. Mechanical Engineering & Automation,2024(5): 1-4.(in Chinese)) [20]TANAKA D, ASANO F, TOKUDA I. Gait analysis and efficiency improvement of passive dynamic walking of combined rimless wheel with wobbling mass[C]//2012 IEEE/RSJ International Conference on Intelligent Robots and Systems. Vilamoura-Algarve, Portugal: IEEE, 2012: 151-156. [21]张奇志, 周亚丽. 机器人学简明教程[M]. 西安: 西安电子科技大学出版社, 2013.(ZHANG Qizhi, ZHOU Yali. A Concise Guide to Robotics[M]. Xi’an: Xidian University Press, 2013. (in Chinese)) -
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