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Research Papers

Forward Static Optimization in Dynamic Simulation of Human Musculoskeletal Systems: A Proof-of-Concept Study

[+] Author and Article Information
Mohammad S. Shourijeh

Mechanical Engineering,
University of Ottawa,
Ottawa, ON K1N 6N5, Canada
e-mail: msharifs@uottawa.ca

Naser Mehrabi

Systems Design Engineering,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: nmehrabi@uwaterloo.ca

John McPhee

Professor
Fellow ASME
Systems Design Engineering,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: mcphee@uwaterloo.ca

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 1, 2015; final manuscript received February 14, 2017; published online April 17, 2017. Assoc. Editor: Javier Cuadrado.

J. Comput. Nonlinear Dynam 12(5), 051005 (Apr 17, 2017) (6 pages) Paper No: CND-15-1269; doi: 10.1115/1.4036195 History: Received September 01, 2015; Revised February 14, 2017

Static optimization (SO) has been used extensively to solve the muscle redundancy problem in inverse dynamics (ID). The major advantage of this approach over other techniques is the computational efficiency. This study discusses the possibility of applying SO in forward dynamics (FD) musculoskeletal simulations. The proposed approach, which is entitled forward static optimization (FSO), solves the muscle redundancy problem at each FSO time step while tracking desired kinematic trajectories. Two examples are showcased as proof of concept, for which results of both dynamic optimization (DO) and FSO are presented for comparison. The computational costs are also detailed for comparison. In terms of simulation time and quality of muscle activation prediction, FSO is found to be a suitable method for solving forward dynamic musculoskeletal simulations.

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Figures

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Fig. 2

DO simulation (a) simulated elbow angle, (b) elbow angular speed, and (c) optimal muscle activations; solid and dashed lines refer to results from FSO and DO, respectively. The seven muscles in the model are brachioradialis (BRD), biceps long head (BICLH), biceps short head (BICSH), brachialis (BRA), triceps long head (TRILH), triceps lateral head (TRILT), and triceps medial head (TRIMH).

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Fig. 3

Schematic of the planar arm model (Example 2)

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Fig. 4

DO versus FSO comparison, simulated shoulder and elbow (a) joint angles, (b) angular speeds, and (c) optimal muscle activations; solid and dashed lines refer to results from FSO and DO, respectively

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