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Modeling and analysis of the passive dynamic walker of flexible legged rimless wheel
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Qizhi ZHANG, Xinsheng GE, Yali ZHOU, Qiuling ZHAO
Chinese Journal of Applied Mechanics | 2025, 42(6) : 1410 - 1417
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Chinese Journal of Applied Mechanics | 2025, 42(6): 1410-1417
Dynamic and Control
Modeling and analysis of the passive dynamic walker of flexible legged rimless wheel
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Qizhi ZHANG, Xinsheng GE, Yali ZHOU, Qiuling ZHAO
Affiliations
  • School of Automation, Beijing Information Science&Technology University, 100192 Beijing, China
Published: 2025-12-15 doi: 10.11776/j.issn.1000-4939.2025.06.020
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The modeling of the passive dynamic walker of flexible legged rimless wheel is studied, and the influence of damping coefficient on system dynamics is analyzed. According to the geometric characteristics of the walker, the independent generalized coordinates are selected to describe the position of the system, and the second kind of Lagrange equation is used to establish the dynamic model of the passive dynamic walker of flexible legged rimless wheel. By analyzing the structure and physical properties of the flexible leg, it is concluded that the impact occurs in the tangential direction of the telescopic leg and the impact force is not transmitted between the leg and the ground in the radial direction during the impact stage, and a state jump model under the assumption of partial impact is proposed. The numerical simulation of passive dynamic walking of flexible legged rimless wheels using different damping parameters verifies the effective-ness of the proposed method. When a larger damping coefficient is selected, the double-limb support period of periodic walking accounts for 77.6% of the whole walking cycle, while the single-limb support period accounts for 22.4% of the whole walking cycle. The periodic walking can be achieved when the slope angle is in the range of 0.1-0.7 rad. The slope angle of the flexible legged rimless wheel that can passively and dynamically walk on decreases as the damping coefficient decreases.

passive dynamic walking  /  impact model  /  limit cycle  /  flexible legged rimless wheel
Qizhi ZHANG, Xinsheng GE, Yali ZHOU, Qiuling ZHAO. Modeling and analysis of the passive dynamic walker of flexible legged rimless wheel[J]. Chinese Journal of Applied Mechanics, 2025 , 42 (6) : 1410 -1417 . DOI: 10.11776/j.issn.1000-4939.2025.06.020
Year 2025 volume 42 Issue 6
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doi: 10.11776/j.issn.1000-4939.2025.06.020
  • Receive Date:2023-02-04
  • Online Date:2026-03-27
  • Published:2025-12-15
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  • Received:2023-02-04
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    School of Automation, Beijing Information Science&Technology University, 100192 Beijing, China
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https://castjournals.cast.org.cn/joweb/yylxxb/EN/10.11776/j.issn.1000-4939.2025.06.020
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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