Least-Squares Matrix Correlations Between Stump Stresses and Prosthesis Loads for Below-Knee Amputees

[+] Author and Article Information
D. J. Winarski

IBM General Products Division, Tucson, Ariz. 85744

J. R. Pearson

The University of Michigan, Ann Arbor, Mich. 48109

J Biomech Eng 109(3), 238-246 (Aug 01, 1987) (9 pages) doi:10.1115/1.3138675 History: Received August 18, 1986; Revised May 15, 1987; Online June 12, 2009


Stump stresses were correlated to prosthesis loads for two unilateral, below-knee amputees over a range of flexion-extension angular adjustments. Normal stresses on the patellar tendon and gastrocnemius were related to the axial force and flexion-extension moment of the prosthesis via a matrix equation. Elements of this matrix, influence factors calculated by least-squares algorithms, identified the contributions of each time-dependent load component acting to produce the time-dependent normal stresses. The flexion-extension angular sensitivity of the way these sagittal plane loads combined to produce normal stresses was included in the matrix equation via a first-order Maclaurin series. Highly favorable correlation coefficients between empirically measured and theoretically predicted stump stresses were calculated. This demonstrated that, in future studies, using an influence-factor matrix holds promise for quantifying sensitivities of normal stresses of the stump to multiple adjustments in prostheses.

Copyright © 1987 by ASME
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