Journal of shanghai Jiaotong University (Science) ›› 2013, Vol. 18 ›› Issue (6): 673-678.doi: 10.1007/s12204-011-1203-7

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Symmetry Based Searching Process for Initial Conditions of Passive Running

Symmetry Based Searching Process for Initial Conditions of Passive Running

DENG Qi (邓 奇), WANG Shi-gang* (王石刚), MO Jin-qiu (莫锦秋), LIANG Qing-hua (梁庆华)   

  1. (School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  2. (School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • Online:2013-12-31 Published:2013-12-18
  • Contact: WANG Shi-gang (王石刚) E-mail: wangshigang@sjtu.edu.cn

Abstract: Symmetrical passive running of a simple spring model is commonly used to predict the locomotion of real animals and develop the design strategies for legged systems. If the initial conditions for running can be found automatically, we can expand the ranges of the model parameters freely. To achieve this objective, we derive an efficient searching procedure based on analysis of the symmetries. Using this process, the desired initial states of the passive running are obtained. Existence of the results reveals that the leg symmetries can be used to generate the symmetrical running. Moreover, the leg forces are associated with the running pattern, implying that we should choose suitable motion for the given model characteristics.

Key words: symmetrical running| initial conditions| scissor algorithm| motion

摘要: Symmetrical passive running of a simple spring model is commonly used to predict the locomotion of real animals and develop the design strategies for legged systems. If the initial conditions for running can be found automatically, we can expand the ranges of the model parameters freely. To achieve this objective, we derive an efficient searching procedure based on analysis of the symmetries. Using this process, the desired initial states of the passive running are obtained. Existence of the results reveals that the leg symmetries can be used to generate the symmetrical running. Moreover, the leg forces are associated with the running pattern, implying that we should choose suitable motion for the given model characteristics.

关键词: symmetrical running| initial conditions| scissor algorithm| motion

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