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Biomechanical Modeling and Analysis of Human Motion Cole, Joshua Knapp, Austen University of Colorado at Colorado Springs, Department of Mechanical Engineering Advisor: Prof. Steve Tragesser The Objective Create a low cost, non-invasive, portable system for analysis of the internal forces and torques required for human motion Video Capture Kodak PlaySport Resolution: 720 X 1280 Frame Rate: 60 fps Image Processing with MATLAB • • • • • Manually input initial marker positions Filter all colors but green/blue for each frame Search based on previous centroid location Two colors distinguish between markers Output Cartesian Coordinates Dynamic Modeling • Modeled body as series of rigid links • Convert video capture output to angular position • Two methods of analysis Point Mass Analysis • Compute position, velocity, and acceleration of center of mass (CoM) of the three – link model • Calculate horizontal and vertical components of ground reaction force – Calculated using Newton’s 2nd Law for CoM Position Data Outputted Video Capture System Finite Difference Method F=ma to attain GRFx & GRFy Three – Link Analysis Application of Newton’s 2nd Law and Euler’s Law to attain 9 equation’s of motion (EOM’s) – Three EOM’s per link • 2 EOM’s through 𝐹 = 𝑚𝑎 • 1 EOM through 𝑀𝐶 = 𝐻𝐶 Three – Link Analysis Equations of Motion: Three – Link Analysis Angular Position, Velocity, and Acceleration EOM’s Internal Forces and Torques Results and Validation Point Mass Analysis • GRFy vs. Experimental Data from Force Plate • Force Plate = Validation of dynamic analysis • GRFx << GRFy which is the expected outcome • Data from 0.0 to ~0.2 seconds is invalid due to filtering of video capture data • Squat performed after 0.2 sec which allows invalid data to be neglected Results and Validation Three-Link Analysis: • GRFy vs. Experimental Data from Force Plate • GRFy is less accurate with this model than point mass model • GRFx increases to a large magnitude which is not correct outcome • Computations with threelink model more sensitive to measurement errors than point mass analysis Results and Validation Three – Link Analysis: • Figure, top to bottom: • Calculated horizontal component of internal knee force • Calculated vertical component of internal knee force • Calculated horizontal component of internal hip force • Calculated vertical component of internal hip force • Amplitudes appear to be within a realistic range Results and Validation Three – Link Analysis: • Ankle, knee, and hip torques • Result of subject’s muscle actuation • Results qualitatively match expected torque behavior • Values not consistent with results in literature Figure 6: Three-Link Calculated Internal Torques Conclusions and Recommendations • Partially demonstrated feasibility of system – GRF more accurate than internal forces and torques • Sources of error – Markers – Clothing Color – Approximations – Frame rate/camera resolution Future Research and Limitations • Long-term goal: Analyze broad range of human motion and impact of such motion – Possible through calculation of internal forces and torques – Examples of human motion which could be analyzed: • Prosthetic patient gait analysis • Sports performance analysis • Low-gravity analysis • Three-dimensional video capture system • Multi-link model with an arbitrary number of links • Progress EOM’s to allow analysis where feet leave contact with ground Thank you We appreciate you taking your time to listen – Questions/comments/concerns?