Vertical ground reaction forces at various speeds during stair climbing

LAN Jian; Hyunjun Park; FU Chenglong; CHEN Ken

doi:10.16511/j.cnki.qhdxxb.2019.26.005

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Journal of Tsinghua University(Science and Technology) ›› 2019, Vol. 59 ›› Issue (6) : 453-460. DOI: 10.16511/j.cnki.qhdxxb.2019.26.005

MECHANICAL ENGINEERING

Vertical ground reaction forces at various speeds during stair climbing

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Abstract

The vertical ground reaction force determines the movement of the center of mass of the human body in the vertical direction during stair climbing. The vertical reaction force is closely related to the average vertical speed and the initial vertical speed. This paper presents a human stair climbing model that is used to derive the constraint for continuous climbing from the key factors influencing the maximum vertical force. The model gives mathematical expressions for the initial vertical speed, vertical force and the average horizontal speed. The model gives the change in the maximum vertical ground reaction force for various stair climbing speeds. Stair climbing tests were performed at various speeds using a motion analysis system and force platform. The tests verify the model accuracy with the results showing that the motion characteristics at low stair climbing speeds are closer to those of level walking than at high speeds and the initial vertical speed increases with increasing average horizontal speed to reduce the maximum vertical ground reaction force.

Key words

stair climbing / different walking speeds / initial vertical speed / maximum vertical ground reaction force

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LAN Jian, Hyunjun Park, FU Chenglong, CHEN Ken. Vertical ground reaction forces at various speeds during stair climbing[J]. Journal of Tsinghua University(Science and Technology). 2019, 59(6): 453-460 https://doi.org/10.16511/j.cnki.qhdxxb.2019.26.005

References

[1] RIENER R, RABUFFETTI M, FRIGO C. Stair ascent and descent at different inclinations[J]. Gait & Posture, 2002, 15(1):32-44.
[2] NADEAU S, MCFADYEN B J, MALOUIN F. Frontal and sagittal plane analyses of the stair climbing task in healthy adults aged over 40 years:What are the challenges compared to level walking?[J]. Clinical Biomechanics, 2003, 18(10):950-959.
[3] NOVAK A C, BROUWER B. Sagittal and frontal lower limb joint moments during stair ascent and descent in young and older adults[J]. Gait & Posture, 2011, 33(1):54-60.
[4] 张瑞红, 金德闻, 张济川, 等. 不同路况下正常步态特征研究[J]. 清华大学学报(自然科学版), 2000, 40(8):77-80. ZHANG R H, JIN D W, ZHANG J C, et al. Normal gait patterns on different terrain[J]. Journal of Tsinghua University (Science and Technology), 2000, 40(8):77-80. (in Chinese)
[5] PROTOPAPADAKI A, DRECHSLER W I, CRAMP M C, et al. Hip, knee, ankle kinematics and kinetics during stair ascent and descent in healthy young individuals[J]. Clinical Biomechanics, 2007, 22(2):203-210.
[6] 唐刚, 魏高峰, 周海, 等. 测量并分析上楼梯过程中下肢关节角变化[J]. 医用生物力学, 2011, 26(5):460-464. TANG G, WEI G F, ZHOU H, et al. Measurement and analysis of the joint angle in lower limb during stair ascent[J]. Journal of Medical Biomechanics, 2011, 26(5):460-464. (in Chinese)
[7] STACOFF A, DIEZI C, LUDER G, et al. Ground reaction forces on stairs:Effects of stair inclination and age[J]. Gait & Posture, 2005, 21(1):24-38.
[8] ALEXANDER R M, JAYES A S. Fourier analysis of forces exerted in walking and running[J]. Journal of Biomechanics, 1980, 13(4):383-390.
[9] MINETTI A E, ALEXANDER R M. A theory of metabolic costs for bipedal gaits[J]. Journal of Theoretical Biology, 1997, 186(4):467-476.
[10] NEUMANN D A. Kinesieology of the musculoskeletal system foundations for rehabilitation[M]. 2nd ed. St. Louis:Mosby Elsevier, 2010.
[11] KUO A D, DONELAN J M, RUINA A. Energetic consequences of walking like an inverted pendulum:Step-to-step transitions[J]. Exercise and Sport Sciences Reviews, 2005, 33(2):88-97.
[12] ADAMCZYK P G, KUO A D. Redirection of center-of-mass velocity during the step-to-step transition of human walking[J]. Journal of Experimental Biology, 2009, 212:2668-2678.
[13] DONELAN J M, KRAM R, KUO A D. Mechanical work for step-to-step transitions is a major determinant of the metabolic cost of human walking[J]. Journal of Experimental Biology, 2002, 205:3717-3727.
[14] DONELAN J M, KRAM R, KUO A D. Simultaneous positive and negative external mechanical work in human walking[J]. Journal of Biomechanics, 2002, 35(1):117-124.
[15] DE LEVA P. Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters[J]. Journal of Biomechanics, 1996, 29(9):1223-1230.