Impact Loading Rate Measuring with Different Heel Shoe Design for Transtibial Amputation
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Keywords

ANOVA; DOE; Impact loading rate; Minitab; RSM

How to Cite

Impact Loading Rate Measuring with Different Heel Shoe Design for Transtibial Amputation. (2025). Al-Khwarizmi Engineering Journal, 21(1), 28-34. https://doi.org/10.22153/kej.2025.09.001

Abstract

Humans experience impact peaks due to the repetitive pressures placed beneath the heel during walking, and these peaks are marked by high rates and magnitudes of loading. Momentum is transferred from the ground to create impact peaks at the effective mass to the part of the body that stops moving at that point. The stiffness of the heel affects impacts generated by that momentum. This study aims to improve our understanding of how the body produces impact peaks and how the stiffness and features of the shoe heel affect parameters such as peak magnitude (Fmax) and impact loading rate (F').  A shoe heel model is presented, and walkers wearing less stiff foot heels are expected to have less effective mass and vertical impulse. A human amputee adult male participated in evaluating the model by walking in 15 different heel designs. Minitab software, which applies response surface approach, was used to acquire the shoe’s design properties. The subject walked on a force plate while 3D kinematic data were collected. Design of Experiment was carried out using Minitab software to determine the optimal shoe heel design (depending on material and shape) that reduces the impacting effect. Statistical results show that heel height has a more significant effect (p=0.053) on impact loading rate than elastic modulus and cross-sectional area. According to the optimisation results based on the response surface design, wearing a heel with a modulus of elasticity of 0.5864 mPa, an area of 60.0 cm2 and a height of 0.50 cm may help improve the amputee's gait.

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References

[1] Y. Folman, J. Wosk, A. Voloshin, and S. Liberty, 1986."Cyclic impacts on heel strike: a possible biomechanical factor in the etiology of degenerative disease of the human locomotor system," Archives of orthopedic and traumatic surgery, vol. 104, pp. 363-365.

[2] J. a. M. W. Collins, 1989 "Impulsive forces during walking and their clinical implications," Clinical Biomechanics, vol. 4, no. 3, pp. 179-187.

[3] B. M. Nigg, 2010 Biomechanics of sport shoes. University of Calgary.Pohl M. B., J. Hamill, and I. S. Davis, 2009 "Biomechanical and anatomic factors associated with a history of plantar fasciitis in female runners," Clinical Journal of Sport Medicine, vol. 19, no. 5, pp. 372-376.

[4] B. H. B. Nigg, S. Luethi, and S. Stokes, 1987 "The influence of running velocity and midsole hardness on external impact forces in heel-toe running," Journal of biomechanics, vol. 20, no. 10, pp. 951-959.

[5] H. a. t. p. o. o. a. p. g. s. Gill H. and J. O’Connor, " Journal of biomechanics, vol. 36, no. 11, pp. 1625-1631.

[6] R. F. Milner C. E, C. D. Pollard, J. Hamill, and I. S. Davis, 2006 "Biomechanical factors associated with tibial stress fracture in female runners," Medicine & Science in Sports & Exercise, vol. 38, no. 2, pp. 323-328.

[7] R. f. f. o. i. i. r. Wen D. Y. , " Current sports medicine reports, vol. 6, no. 5, pp. 307-313.

[8] G. J. G. Daoud A. I., F. Wang, J. Saretsky, Y. A. Daoud, and D. E. Lieberman, 2012 "Foot retrospective study," Med Sci Sports Exerc, vol. 44, no. 7, pp. 1325-1334.

[9] W. H. Hume P., K. Rome, P. Maulder, G. Coyle, and B. Nigg, 2008"Effectiveness of foot orthoses for treatment and prevention of lower limb injuries: a review," Sports Medicine, vol. 38, pp. 759-779.

[10] W. T. Dempster and G. R. Gaughran, "Properties of body segments based on size and weight," American journal of anatomy, vol. 120, no. 1, pp. 33-54, 1967.

[11] M. F. Bobbert, H. C. Schamhardt, and B. M. Nigg, "Calculation of vertical ground reaction force estimates during running from positional data," Journal of biomechanics, vol. 24, no. 12, pp. 1095-1105, 1991.

[12] C.-H. Chen, W.-W. Yang, Y.-P. Chen, V. C.-F. Chen, C. Liu, and T.-Y. Shiang, "High vibration frequency of soft tissue occurs during gait in power-trained athletes," Journal of Sports Sciences, vol. 39, no. 4, pp. 439-445, 2021.

[13] D. E. Lieberman et al., "Foot strike patterns and collision forces in habitually barefoot versus shod runners," Nature, vol. 463, no. 7280, pp. 531-535, 2010.

[14] M. Shorten and M. I. Mientjes, "The ‘heel impact’force peak during running is neither ‘heel’nor ‘impact’and does not quantify shoe cushioning effects," Footwear Science, vol. 3, no. 1, pp. 41-58, 2011.

[15] G. M. Light L., and L. Klenerman, 1980"Skeletal transients on heel strike in normal walking with different footwear," Journal of biomechanics, vol. 13, no. 6, pp. 477-480.

[16] E. M. H. Lafortune M. A., and M. J. Lake, 1996 "Dominant role of interface over knee angle for cushioning impact loading and regulating initial leg stiffness," Journal of biomechanics, vol. 29, no. 12, pp. 1523-1529.

[17] A.-M. L. Wakeling J. M., and B. M. Nigg, 2003 "Muscle activity reduces soft-tissue resonance at heel-strike during walking," Journal of biomechanics, vol. 36, no. 12, pp. 1761-1769.

[18] B. J. Addison and D. E. Lieberman, "Tradeoffs between impact loading rate, vertical impulse and effective mass for walkers and heel strike runners wearing footwear of varying stiffness," Journal of biomechanics, vol. 48, no. 7, pp. 1318-1324, 2015.

[19] T. e. o. m. s. a. d. o. s. i. f. p. d. r. Nigg B. M. and W. Liu, " Journal of biomechanics, vol. 32, no. 8, pp. 849-856.

[20] M. m. a. t. s. t. e. o. f. o. t. i. f. a. v. o. t. h. b. d. r. Zadpoor A. A. and A. A. Nikooyan.

[21] A. A. N. Zadpoor A. A., and A. R. Arshi, 2007"A model-based parametric study of impact force during running," Journal of biomechanics, vol. 40, no. 9, pp. 2012-2021.C.

[22] S. Beg and S. Akhter, "Box–Behnken designs and their applications in pharmaceutical product development," Design of Experiments for Pharmaceutical Product Development: Volume I: Basics and Fundamental Principles, pp. 77-85, 2021.

[23] S. Beg, S. Swain, M. Rahman, M. S. Hasnain, and S. S. Imam, "Application of design of experiments (DoE) in pharmaceutical product and process optimization," in Pharmaceutical quality by design: Elsevier, 2019, pp. 43-64.

[24] A. Jankovic, G. Chaudhary, and F. Goia, "Designing the design of experiments (DOE)–An investigation on the influence of different factorial designs on the characterization of complex systems," Energy and Buildings, vol. 250, p. 111298, 2021.

[25] J. Antony, Design of experiments for engineers and scientists. Elsevier, 2014.

[26] M. T. Luiz et al., "Design of experiments (DoE) to develop and to optimize nanoparticles as drug delivery systems," European Journal of Pharmaceutics and Biopharmaceutics, vol. 165, pp. 127-148, 2021.

[27] S. Ajjaj, S. El Houssaini, M. Hain, and M.-A. El Houssaini, "Performance assessment and modeling of routing protocol in vehicular ad hoc networks using statistical design of experiments methodology: a comprehensive study," Applied System Innovation, vol. 5, no. 1, p. 19, 2022.

[28] J. Antony, Design of experiments for engineers and scientists. Elsevier, 2023

[29] G. D. Bowden, B. J. Pichler, and A. Maurer, "A design of experiments (DoE) approach accelerates the optimization of copper-mediated 18F-fluorination reactions of arylstannanes," Scientific reports, vol. 9, no. 1, p. 11370, 2019.

[30] A. S. Dhoot, G. J. Fernandes, A. Naha, M. Rathnanand, and L. Kumar, "Design of experiments in pharmaceutical development," Pharmaceutical Chemistry Journal, vol. 53, pp. 730-735, 2019.

[31] B. o. D. R. E. Cavanagh P. R. and M. e. a. e. f. m. d. i. l. o. w. a. r. Chi K.-J. and D. Schmitt, " Journal of biomechanics, vol. 38, no. 7, pp. 1387-1395.

[32] S. K. Shather, S. H. Aghdeab, and W. S. Khudier, "Enhancement of Surface Crack Density Produced by EDM Using Hybrid Machining," Engineering and Technology Journal, vol. 37, no. 12, pp. 566-573, 2019.

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