Optimal Movement Patterns of the Lower Extremity in Running
Lin, Der Chia
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https://hdl.handle.net/2142/68691
Description
Title
Optimal Movement Patterns of the Lower Extremity in Running
Author(s)
Lin, Der Chia
Issue Date
1980
Department of Study
Physical Education
Discipline
Physical Education
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Education, Physical
Language
eng
Abstract
In order to search for the optimal control necessary to minimize energy expenditure in running, there needs to be conducted a comprehensive dynamic analysis and the application of optimal system control theory. The procedures of this research comprised of two main parts, theoretical and experimental.
Seven highly-skilled male runners who attended the American Olympic Development Clinic at the University of Illinois at Urbana-Champaign in August, 1978, acted as subjects for the purpose of experimental study. Based on the experimental data, the stride lengths were adjusted within a reasonable range for each runner. Then, a detailed theoretical analysis was conducted for each assuming stride length. According to the construction of a mathematical model of the lower extremity for running, the equations of motion were derived to depict the kinematic and kinetic properties of the lower extremity. Lagrangian equations were applied to evaluate the resultant effective moments about the three joints of the leg for a full cycle of running. The total mechanical energy expenditure of the total applied moments system was evaluated by the time integral of the instantaneous power, which is the product of the resultant effective moment about a joint and the angular velocity of the limb with respect to the joint. Then for each assuming stride length, the ratio of the energy expense to the time duration of a running cycle was obtained. The determinant of the optimal stride length for each runner at a given running velocity was depended upon the assuming stride length which exhibited the minimum power output. In addition, the Euler-Lagrange equation approach was applied to the condition for a minimum of a performance measure. The optimal movement patterns were, then, determined for each runner at a given running velocity.
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