Uphill dynamics: A spring-mass model analysis of sloped walking

Research Article
Open access

Uphill dynamics: A spring-mass model analysis of sloped walking

Chunming Deng 1*
  • 1 SCNU    
  • *corresponding author 1391551549@qq.com
Published on 8 November 2024 | https://doi.org/10.54254/2755-2721/101/20240921
ACE Vol.101
ISSN (Print): 2755-273X
ISSN (Online): 2755-2721
ISBN (Print): 978-1-83558-691-4
ISBN (Online): 978-1-83558-692-1

Abstract

This study explores the biomechanics of uphill running by adjusting and analyzing the spring- mass model. Modifications specific to slope conditions were made to the equations of motion. Despite facing challenges in code execution, an in-depth investigation of the model’s physical characteristics was conducted through both static and dynamic state analyses. The findings aid in the theoretical understanding of motion on sloped surfaces and provide valuable experience for subsequent research.

Keywords:

Spring Mass Model,Uphill Walking,Matlab

Deng,C. (2024). Uphill dynamics: A spring-mass model analysis of sloped walking. Applied and Computational Engineering,101,1-10.
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References

[1]. Blickhan,R.(1989).Thespring-massmodelforrunningandhopping.JournalofBiomechanics,22(11-12),1217-1227.

[2]. McMahon, T.A., & Cheng, G.C. (1990). The mechanics of running: how does stiffness couple with speed? Journal of Biomechanics, 23, 65-78.

[3]. Birn-Jeffery,A.V.,&Higham,T.E.(2014).Thescalingofuphillanddownhilllocomotioninleggedanimals.Integrative and Comparative Biology, 54(6), 1159-1172.

[4]. Davies, C.T., & Rennie, D.W. (1997). Human power output during ascending and descending at different gradients and speeds. Journal of Physiology, 264(3), 803-815.

[5]. Herr, H., & Popovic, M. (2008). Angular momentum in human walking. Journal of Experimental Biology, 211(Pt 4), 467-481.

[6]. Geyer,H.,Seyfarth,A.,&Blickhan,R.(2006).Compliantlegbehaviourexplainsbasicdynamicsofwalkingandrunning. Proceedings of the Royal Society B, 273(1602), 2861–2867.

[7]. Dadfar, M., Sheikhhosseini, R., Jafarian, M., & Esmaeili, A. (2021). Lower extremity kinematic coupling during single and double leg landing and gait in female junior athletes with dynamic knee valgus. BMC Sports Science, Medicine and Rehabilitation, 13, Article 152.

[8]. Minetti,A.E.,Moia,C.,Roi,G.S.,Susta,D.,&Ferretti,G.(2002).Energycostofwalkingandrunningatextremeuphill and downhill slopes. Journal of Applied Physiology, 93(3), 1039-1046.

[9]. MAE 5070-Dynamic Systems and Control. (n.d.). Dynamical Equations. Cornell University Course Materials. Retrieved April 16, 2024.

[10]. MIT OpenCourseWare. (n.d.). Introduction to Oscillations and Waves. Massachusetts Institute of Technology. Retrieved April 16, 2024.

[11]. GoswamiA,EspiauB,KeramaneA.Limitcyclesinapassivecompassgaitbipedandpassivity-mimickingcontrollaws[J]. Autonomous Robots, 1997, 4: 273-286.

[12]. Farley,C.T.,&Gonzalez,O.(1996).Legstiffnessandstridefrequencyinhumanrunning.JournalofBiomechanics,29(2), 181-186.

[13]. Padulo, J., Powell, D., & Milia, R. (2013). Biomechanics and Physiology of Uphill and Downhill Running. Sports Medicine, 43(3), 207-221.

[14]. Ijspeert, A. J. (2014). Biorobotics: Using robots to emulate and investigate agile locomotion. Science, 346(6206), 196-203.

[15]. McMahon, T.A., & Cheng, G.C. (1990). The mechanics of running: how does stiffness couple with speed? Journal of Biomechanics, 23, 65-78.

[16]. Hibbeler, R. C. (2016). Engineering Mechanics: Statics (14th ed.). Pearson Education.

[17]. Alexander,R.McN.(1984).ElasticMechanismsinAnimalMovement.CambridgeUniversityPress.

Cite this article

Deng,C. (2024). Uphill dynamics: A spring-mass model analysis of sloped walking. Applied and Computational Engineering,101,1-10.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 2nd International Conference on Machine Learning and Automation

ISBN：978-1-83558-691-4(Print) / 978-1-83558-692-1(Online)
Editor：Mustafa ISTANBULLU
Conference website: https://2024.confmla.org/
Conference date: 12 January 2025
Series: Applied and Computational Engineering
Volume number: Vol.101
ISSN：2755-2721(Print) / 2755-273X(Online)

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References

[1]. Blickhan,R.(1989).Thespring-massmodelforrunningandhopping.JournalofBiomechanics,22(11-12),1217-1227.

[2]. McMahon, T.A., & Cheng, G.C. (1990). The mechanics of running: how does stiffness couple with speed? Journal of Biomechanics, 23, 65-78.

[3]. Birn-Jeffery,A.V.,&Higham,T.E.(2014).Thescalingofuphillanddownhilllocomotioninleggedanimals.Integrative and Comparative Biology, 54(6), 1159-1172.

[4]. Davies, C.T., & Rennie, D.W. (1997). Human power output during ascending and descending at different gradients and speeds. Journal of Physiology, 264(3), 803-815.

[5]. Herr, H., & Popovic, M. (2008). Angular momentum in human walking. Journal of Experimental Biology, 211(Pt 4), 467-481.

[6]. Geyer,H.,Seyfarth,A.,&Blickhan,R.(2006).Compliantlegbehaviourexplainsbasicdynamicsofwalkingandrunning. Proceedings of the Royal Society B, 273(1602), 2861–2867.

[7]. Dadfar, M., Sheikhhosseini, R., Jafarian, M., & Esmaeili, A. (2021). Lower extremity kinematic coupling during single and double leg landing and gait in female junior athletes with dynamic knee valgus. BMC Sports Science, Medicine and Rehabilitation, 13, Article 152.

[8]. Minetti,A.E.,Moia,C.,Roi,G.S.,Susta,D.,&Ferretti,G.(2002).Energycostofwalkingandrunningatextremeuphill and downhill slopes. Journal of Applied Physiology, 93(3), 1039-1046.

[9]. MAE 5070-Dynamic Systems and Control. (n.d.). Dynamical Equations. Cornell University Course Materials. Retrieved April 16, 2024.

[10]. MIT OpenCourseWare. (n.d.). Introduction to Oscillations and Waves. Massachusetts Institute of Technology. Retrieved April 16, 2024.

[11]. GoswamiA,EspiauB,KeramaneA.Limitcyclesinapassivecompassgaitbipedandpassivity-mimickingcontrollaws[J]. Autonomous Robots, 1997, 4: 273-286.

[12]. Farley,C.T.,&Gonzalez,O.(1996).Legstiffnessandstridefrequencyinhumanrunning.JournalofBiomechanics,29(2), 181-186.

[13]. Padulo, J., Powell, D., & Milia, R. (2013). Biomechanics and Physiology of Uphill and Downhill Running. Sports Medicine, 43(3), 207-221.

[14]. Ijspeert, A. J. (2014). Biorobotics: Using robots to emulate and investigate agile locomotion. Science, 346(6206), 196-203.

[15]. McMahon, T.A., & Cheng, G.C. (1990). The mechanics of running: how does stiffness couple with speed? Journal of Biomechanics, 23, 65-78.

[16]. Hibbeler, R. C. (2016). Engineering Mechanics: Statics (14th ed.). Pearson Education.

[17]. Alexander,R.McN.(1984).ElasticMechanismsinAnimalMovement.CambridgeUniversityPress.

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