자연과학편 : 근골격 최적제어 모델을 이용한 최대높이뛰기의 도약시간에 대한 연구 = A study on the take-off time of maximum squat jump using the optimal control model of human musculoskeletal system

다국어 초록 (Multilingual Abstract)

The ground contact time on the take-off stage is an principal factor in determining performance of maximum high jump. The study simulated the maximum height jumping movement using the optimal control model of human lower extremity. In the case of short contact time, joint extensors are early activated, but joints are not fully extended. Thus, the model does not increase the vertical position of the center of mass of the body, and it can jump due to vertical upward velocity at lift-off. Three peaks of joint power did not have coincidence for all joints. In the case of 0.45 sec, the ground reaction force reached 1.38 times body weight just prior to lift-off and keep up a while. Then it decreased at lift-off. As the ground contact time is prolonged, all joints are fully extended at lift-off. Thus, the model can jump higher due to the increase of the vertical position and velocity of center of mass. In addition, the peaks of joint power coincide, and the ground reaction forces show a sharp increase and decrease just prior to lift-off. In 1.01sec, its maximum reaction force becomes 2.5 times body weight.

참고문헌 (Reference)

1 김선필, "유전자알고리즘을 이용한 인체 근골격 시스템의 최적제어 모델 개발" 18 : 705-727, 2005

2 진강규, "유전알고리즘과 그 응용" 교우사 2000

3 van Soest, A. J., "The influence of the biarticularity of the gastrocnemius muscle on vertical-jumping achievement" 26 : 1-8, 1993

4 Delp, S. K., "Surgery simulation: A computer graphics system to analyze and design musculoskeletal reconstructions of the lower limb" Stanford University 1990

5 Wickiewicz, T. L., "Muscle architecture of the human lower limb" 179 : 275-283, 1983

6 Zajac, F. E., "Muscle and tendon : properties, models, scaling, and application to biomechanics and motor control" 17 (17): 359-411, 1989

7 Woo, S. L-Y, "Mechanical properties of tendons and ligaments. II : The relationships of immobilization and exercise on tissue remodeling" 19 : 397-408, 1982

8 Schutte, J. F., "Evaluation of a particle swarm method for biomechanical optimization" 127 : 465-474, 2005

9 Fukashiro, S., "Direction control in standing horizontal and vertical jumps" 3 : 272-279, 2005

10 Bobbert, M. F., "Coordination in vertical jumping" 21 : 249-262, 1988

11 Carroll, D. L., "Chemical laser modeling with genetic algorithms" 34 (34): 338-346, 1996

12 Pandy, M. G., "An optimal control model for maximum-height human jumping" 23 : 1185-1198, 1990

13 Kim, S., "An optimal control model for determining articular contact forces at the human knee during rising from a static squat position" 12 : 847-858, 1998

14 Pandy, M. G., "A parameter optimization approach for the optimal control of large-scale musculoskeletal systems" 114 : 450-460, 1992

15 Brand, R. A., "A model for lower extremity muscular anatomy" 104 : 304-310, 1982

16 Powell, M. J. D., "A fast algorithm for nonlinearlity constrained optimization calculations, In Numerical Analysis Lecture Notes in Mathematics" Springer-Verlag 144-157, 1978