1. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
The simple biped model used to simulate sprinting. Body segment inertial properties shown in the figure are defined in the text, as are the generalized coordinates of the model, hip actuator torques, and leg actuator forces. The right and left legs of the model were identical; labeling of the left leg inertial properties, generalized coordinates, and actuator forces and torques are omitted here for purposes of clarity. The left hip flexion angle θL is positive when the hip is flexed.

2. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
Stick-figure trajectories for the model (top) completing the 20 m course under PD control that produced a “jog” with duration of 6.64 s; and (middle) sprinting following optimization for which the course was covered in 2.79 s. The sprinting simulation begins with the trunk flexed forward, straightens as the race progresses and dives forward at the finish. The first 5 ms of the sprinting simulation are also shown in detail (bottom). The time between frames represented in these illustrations are 125 ms (top) and 53 ms (middle and bottom).

3. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
Forward velocity of the hip in for the initial guess jog (gray) and sprinting (black) simulations. Both simulations began from rest. The feedback-controlled jog slowly approached a steady forward velocity of approximately 4 m s−1. The sprinting simulation gains speed quickly over the first few steps, then reaches a steady speed of about 8 m s−1 for much of the race, before diving forward at the end.

4. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
The horizontal (continuous lines) and vertical (broken lines) ground reaction forces of the initial guess jog simulation (top) and the sprinting simulation (bottom). Ground reaction forces for the left and right feet are shown in gray and black, respectively.

5. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
The net horizontal impulses of the ground reaction force (GRF) for each step during the initial guess jog simulation (unfilled markers) and the sprinting simulation (filled markers). Impulses for GRFs applied to both the right (diamonds) and left (squares) feet are shown. Large forward impulses were generated in the first few steps of the sprinting simulation and again in the last two steps to generate the terminal dive.

6. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
The angular position of the trunk in the sprinting simulation. The trunk angle was defined such that negative values of θt corresponded to forward flexion (Fig. 1). The negation of that angle is plotted here, with 90 deg corresponding to the trunk parallel to the ground and 0 deg indicating an upright posture.

7. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
Temporal foot contact pattern for the initial guess jog simulation (gray) and the sprinting simulation (black). Both simulations resulted in alternating gaits. While the foot contacts in the initial guess simulation were fairly constant in duration, in the sprinting simulation contact times were larger at the start during the acceleration phase and became much shorter for the remainder of the simulation.

8. From: Simulation of Aperiodic Bipedal Sprinting
Date of download: 10/20/2017
Copyright © ASME. All rights reserved.
From: Simulation of Aperiodic Bipedal Sprinting
J Biomech Eng. 2013;135(8): doi: /
Figure Legend:
Flexion of the right hip plotted versus time for the sprinting simulation. Right foot contact (circles), consistently occurred as the hip was beginning to extend following maximum flexion. This “leg retraction” behavior was not present in the initial guess jog simulation, for which foot contact always coincided with maximum hip flexion.