Abstract
The suspended-load backpack is found to improve the energy efficiency of walking with a load in some scenarios. The objective of this study is to (i) analyze the dynamic load of the suspended-load backpack over a range of walking speeds and pack masses, and (ii) determine the optimal design parameters for the suspended-load backpack to minimize the effect of dynamic load on the efficiency of walking. A simple spring, damper and mass system is used to model the performance of the suspended-load backpack as well as the typical hiking pack. The oscillating load and phase angle are calculated over a range of loading and spring stiffness values to determine the system resonance and optimal spring stiffness design range for the suspended-load backpack. Our results reveal that the stiffness for the suspended-load backpack should be designed below one half of the resonance stiffness to minimize dynamic loads at a given walking speed. The location and magnitude of the maximum phase angle is also calculated. A performance comparison between the suspended-load backpack and a typical hiking pack demonstrates the beneficial range for the suspended-load backpack. The suspended-load backpack is found to provide significant reductions in the peak backpack load, compared with a typical hiking pack, while carrying large loads at fast walking speeds. The suspended-load backpack performs poorly for low pack loads due to in-phase oscillations between the pack and the walking person.
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Abbreviations
- A :
-
Oscillating load ratio (scaling factor)
- c :
-
Equivalent pack damping coefficient
- F osc :
-
Oscillating pack force
- F Pack :
-
Total pack force
- g :
-
Gravity
- k :
-
Equivalent pack stiffness
- X, Y:
-
Amplitude of oscillation of person and pack
- m :
-
Total pack mass
- S :
-
Stature (height) of person
- t :
-
Time
- v :
-
Walking speed
- ω :
-
Walking frequency
- ω n :
-
Natural frequency for the pack
- δ :
-
Static deflection of pack
- ϕ :
-
Phase angle
- l 0 :
-
Leg length of person
- \(x, {\dot{x}}, {\ddot{x}}\) :
-
Vertical position, velocity, and acceleration of the torso
- \(y, {\dot{y}}, {\ddot{y}}\) :
-
Vertical position, velocity, and acceleration of the pack
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Hoover, J., Meguid, S.A. Performance assessment of the suspended-load backpack. Int J Mech Mater Des 7, 111–121 (2011). https://doi.org/10.1007/s10999-011-9153-7
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DOI: https://doi.org/10.1007/s10999-011-9153-7