Leveraging anteroposterior force oscillations to assist walking

Although humans employ various strategies to minimize metabolic cost, walking still has a substantial cost. Half of this cost comes from leg work to accelerate and decelerate the center of mass (CoM) in the anteroposterior direction. Studies showed how applying forward forces to assist CoM acceleration drastically reduces metabolic cost. However, the effect of combining this with assisting deceleration remains unclear. Here we show that oscillating forward and backward forces with zero net work in total can also reduce the metabolic cost by 11%. In the first part of this manuscript, we used a robotic tether to apply timed forces and found forward forces are most effective when applied around the middle of the double stance (approximately 0–30% of the step cycle), whereas the optimal window for backward forces was broader, spanning roughly 50–80% of the step cycle, and the effect of timing was not strong for this force direction. Nevertheless, the results suggest that a passive device, such as a mass-spring system, could also reduce metabolic cost. In the second part, we describe simulations and experiments of walking with a wheeled mass-spring system. Simulations suggest that certain stiffnesses could reduce the estimated metabolic cost. However, human experiments showed around 60% increase in metabolic cost rather than a reduction, likely due to friction and suboptimal timings. The finding that the results did not match theoretical predictions is similar to challenges in other wearable robotics studies.

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Publication Details

Journal
Scientific Reports
Published
2026-04-21
DOI
https://doi.org/10.1038/s41598-026-47823-w
Primary Topic
Robotic Locomotion and Control
Type
article
Field-Weighted Citation Impact
0.00

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article

Leveraging anteroposterior force oscillations to assist walking

Hiva Razavi, Keegan J. Moore, Philippe Malcolm, Manal Mustafa
Scientific Reports
Robotic Locomotion and Control
article

Leveraging anteroposterior force oscillations to assist walking

Hiva Razavi, Keegan J. Moore, Philippe Malcolm, Manal Mustafa
article en

Abstract

Although humans employ various strategies to minimize metabolic cost, walking still has a substantial cost. Half of this cost comes from leg work to accelerate and decelerate the center of mass (CoM) in the anteroposterior direction. Studies showed how applying forward forces to assist CoM acceleration drastically reduces metabolic cost. However, the effect of combining this with assisting deceleration remains unclear. Here we show that oscillating forward and backward forces with zero net work in total can also reduce the metabolic cost by 11%. In the first part of this manuscript, we used a robotic tether to apply timed forces and found forward forces are most effective when applied around the middle of the double stance (approximately 0–30% of the step cycle), whereas the optimal window for backward forces was broader, spanning roughly 50–80% of the step cycle, and the effect of timing was not strong for this force direction. Nevertheless, the results suggest that a passive device, such as a mass-spring system, could also reduce metabolic cost. In the second part, we describe simulations and experiments of walking with a wheeled mass-spring system. Simulations suggest that certain stiffnesses could reduce the estimated metabolic cost. However, human experiments showed around 60% increase in metabolic cost rather than a reduction, likely due to friction and suboptimal timings. The finding that the results did not match theoretical predictions is similar to challenges in other wearable robotics studies.

Scientific Reports
University of Nebraska at Omaha (US), Georgia Institute of Technology (US), Amman Arab University (JO), University of Michigan (US), Solomon R. Guggenheim Museum (US)
National Science Foundation, National Institutes of Health, Directorate for Engineering
Openalex Percentile: Top 18%
Robotic Locomotion and Control
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