Document Type : Full Research Paper


1 Ph.D. Student, Faculty of Engineering, Shahid Chamran University, Ahwaz, Iran

2 Assistant Professor, Faculty of Engineering, Shahid Chamran University, Ahwaz, Iran

3 Assistant Professor, Faculty of Mechanical Engineering, Yazd University, Yazd, Iran

4 Professor, Faculty of Engineering, Shahid Chamran University, Ahwaz, Iran


A primary objective in many human upright state movements is control of balance and monitoring, analysis, and intervention to improve it, has become a part of human biomechanics research. In studies with a quantitative approach to human balance, it is necessary to know the numerical quantity of balance in a body state or at any moment during a path. This study proposes a new quantitative Criterion to express stable state during walking cycle. The basis of this quantitative criterion is the Probability of dynamic success in completing the swing phase without losing balance and the initiation of a fall. The probability of motion realization has been calculated and simulated on a seven-link model with a distributed mass. In this study by taking into consideration the kinematic constraints, energy consumption, muscle stimulation level and changes in stimulation beside maximizing balance, the movement in stance phase is calculated as an optimal movement. The optimal step length has been calculated considering a weight for probability of motion realization and energy consumption. In this method both the maximum balance and minimum energy consumption have been considered. For instance, the optimal step length considering the maximum balance constraint in the specific path for an individual with the height of 187 cm and mass of 92 kg was calculated about 27 cm with this probabilistic approach. One of the factors in maintaining balance is cadence rate. By increasing the center of mass average velocity, the probability of balance maintenance decreases, thus also with considering center of mass average velocity beside maximum balance constraint, the optimal step length is calculated 46 cm.


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