• 한국운동역학회지
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• 제16권1호
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• pp.11-17
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• 2006

The purpose of this study was to evaluate the smoothness of movement during various walking speeds. Based on the maximum smoothness theory (or the minimum jerk theory), we hypothesized that the walking speed at the maximum smoothness (or minimum normalized jerk) is the same as that at the minimum energy consumption. Eleven university students participated in treadmill walking experiment with 11 different walking speeds (1.11, 1.19, 1.25, 1.33, 1.56, 1.78, 1.9, 2, 211, 233, and 2.47m/sec). Normalized jerk at 15 markers and the center of mass was calculated. Results showed that there existed a quadratic relationship between the normalized jerk of the vertical direction at the center of mass and the walking speed As the walking speed increased, the normalized jerk of all directions at the heel decreased Our hypothesis that the previously published energetically optimal walking speed ($1.25\;{\sim}\;1.4m/s$) is the same as the minimum jerk speed (1.78m/s) did not agree with this result. The minimum normalized jerk at the center of mass occurred at the walking speed of 1.78m/s which was the preferred walking speed by subjects' questionaries. Further studies concerning the energetically optimal walking speed, preferred walking speed, and walk-run transition speed or run-walk transition speed are necessary based on actual energy consumption experiment and various multi-dimensional analysis.

• 한국정보전자통신기술학회논문지
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• 제12권2호
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• pp.170-177
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• 2019

본 논문에서는 4족복 보행 로봇의 주행 안정성을 개선하기 위한 3가지 이론을 제시한다. 첫 번째는 Minimum-Jerk Trajectory를 이용하여 다리궤적을 최적화 시킨다. 두 번째는 본 논문에서 새롭게 제시한 사인파와 기존의 방식인 LSM을 Jerk값에 근거하여 비교한다. 셋째는 ADAMS-MATLAB co-simulation을 이용하여 반복적인 로봇 시뮬레이션을 통해 스웨이의 최적 보폭을 계산한다. 위의 과정을 통해 로봇의 보행 개선점을 기존의 이론과 비교하여 나타내었다. 첫 번째로 정 보행시 몸체와 타원형태의 다리 끝의 움직임에 Minimum-Jerk trajectory를 사용하여 다리궤적이 급격하게 변하는 지점의 평균 기울기를 최소 1.2에서 최대 2.9까지 감소시켜 지면에 다리 끝점이 도달할 때 충격을 최소화하여 안정성을 증가 하였다. 두 번째로 기존 LSM(Longitudinal Stability Margin)기법과 본 논문에서 제시한 사인파형 Sway를 사용하여 비교한 결과 평균 Jerk를 Z축에서 0.019, X축에서 0.457, Y축에서 0.02, 3D는 0.479 만큼 감소 시켰다. 특히 X축 Jerk는 크게 감소 하였다. 셋째로 로봇이 최소 Jerk 값으로 보행하기 위한 최적의 보폭의 길이를 상기 분석을 통해 도출하였으며 그 결과 20cm보폭 길이가 가장 안정적이었다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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• pp.212-217
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• 1993

In this paper, characteristics of the motions of a human arm are investigated experimentally. When the conditions of the target point are restricted, human adjusts its trajectory and velocity pattern of the arm to fit the conditions skillfully. The purpose of this work is to examine the characteristics of the trajectory, velocity pattern, and the size of the duration in the following cases. First, we examine the case of point-to-point motion. The results are consistent with the minimum jerk theory. However, individual differences in the length of the duration can be observed in the experiment. Second, we examine the case which requires accuracy of positioning at the target point. It is found that the velocity pattern differs from the bell shaped pattern explained by the minimum jerk theory, and has its peak in the first half of the duration. When higher accuracy of the positioning is required, learning effects can be observed. Finally, to examine the case which requires constraint of the arm posture at the target point, we conduct experiments of a human trying to grasp a cup. It is considered that this motion consists of two steps : one is the positioning motion of the person in order to start the grasping motion, the other is the grasping motion of the human's hand approaching toward the cup and grasping it. In addition, two representative velocity patterns are observed : one is the similar velocity pattern explained in the above experiment, the other is the velocity pattern which has its relative maximum in the latter half of the duration.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2006년도 춘계학술대회 논문집
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• pp.169-170
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• 2006

The purpose of this study was to evaluate the smoothness of the gait pattern according to shoe, walking speed, and slope. Eleven male university students used three types(running shoes, mounting climbing boots, elevated forefoot walking shoes) of shoes at various walking speeds(1.19, 1.25, 1.33, 1.56, 1.78, 1.9, 2.0, 2.11, 2.33m/s) and gradients (0, 3, 6, 10%) on a treadmill. Three-dimensional motion analysis (Motion Analysis Corp, Santa Rosa, CA, USA) was conducted with 4 Falcon high speed cameras. The results showed that elevated forefoot walking shoes had the lowest value of normalized jerk at the heel, which means that elevated forefoot walking shoes had the smoothest walking pattern at the heel. In contrast, elevated forefoot walking shoes had greater normalized jerk at the center of mass (COM) at most walking speeds, which means that the smoothness of gait pattern at the center of mass is the lowest for the elevated forefoot walking shoes. This movement at the COM might even have a beneficial effect of activating muscles in the back and abdomen more than other shoes.