Dynamic Model of Hip and Ankle Joints Loading during Working with a Motorized Backpack Sprayer

Document Type : Research Article-en

Authors

• S. Karimi Avargani ¹
• A. Maleki ²
• Sh. Besharati ²
• R. Ebrahimi ³

¹ M.Sc. Student of Mechanical Engineering of Biosystems Department, Faculty of Agriculture, Shahrekord University, Shahrekord, Iran

² Mechanical Engineering of Biosystems Department, Faculty of Agriculture, Shahrekord University, Shahrekord, Iran

³ Mechanical Engineering, Faculty of Engineering, Yasouj University, Yasouj, Iran

https://doi.org/10.22067/jam.2023.82788.1171

Abstract

The main objective of this paper is to develop a seven-link dynamic model of the operator’s body while working with a motorized backpack sprayer. This model includes the coordinates of the sprayer relative to the body, the rotational inertia of the sprayer, the muscle moments acting on the joints, and a kinematic coupling that keeps the body balanced between the two legs. The constraint functions were determined and the non-linear differential equations of motion were derived using Lagrangian equations. The results show that undesirable fluctuations in the ankle force are noticeable at the beginning and end of a swing phase. Therefore, injuries to the ankle joint are more likely due to vibrations. The effects of engine speed and sprayer mass on the hip and ankle joint forces were then investigated. It is found that the engine speed and sprayer mass have significant effects on the hip and ankle forces and can be used as effective control parameters. The results of the analysis also show that increasing the engine speed increases the frequency of the hip joint force. However, no significant effects on the frequency of the ankle joint force are observed. The results of this study may provide researchers with insight into estimating the allowable working hours with the motorized backpack sprayers, prosthesis design, and load calculations of hip implants in the future.

Keywords

• Lagrange equation
• Operator
• Vibration
• Weight of sprayer

Main Subjects

• Modeling

©2023 The author(s). This is an open access article distributed under Creative Commons Attribution 4.0 International License (CC BY 4.0).

References

1. Alamoudi, M., Travascio, F., Onar-Thomas, A., Eltoukhy, M., & Asfour, S. (2018). The effects of different carrying methods on locomotion stability, gait spatio-temporal parameters, and spinal stresses. International Journal of Industrial Ergonomics, 67, 81-88. https://doi.org/10.1016/j.ergon.2018.04.012
2. Astephen, J. L., Deluzio, K. J., Caldwell, G. E., & Dunbar, M. J. (2008). Biomechanical changes at the hip, knee, and ankle joints during gait are associated with knee osteoarthritis severity. Journal of Orthopaedic Research, 26(3), 332-341. https://doi.org/10.1002/jor.20496
3. Correa, T. A., Crossley, K. M., Kim, H. J., & Pandy, M. G. (2010). Contributions of individual muscles to hip joint contact force in normal walking. Journal of Biomechanics, 43(8), 1618-1622. https://doi.org/10.1016/j.jbiomech.2010.02.008
4. D'Souza, A. F., & Garg, V. K. (1984). Advanced dynamics: modeling and analysis. Prentice Hall.
5. Greenwood, D. T. (1988). Principles of dynamics(pp. 224-226). Englewood Cliffs, NJ: Prentice-Hall.
6. Huang, Y., Wang, Q., Chen, B., Xie, G., & Wang, L. (2012). Modeling and gait selection of passivity-based seven-link bipeds with dynamic series of walking phases. Robotica, 30(1), 39-51. https://doi.org/10.1017/S0263574711000397
7. Jena, S., Kumar, A., Singh, J. K., & Mani, I. (2016). Biomechanical model for energy consumption in manual load carrying on Indian farms. International Journal of Industrial Ergonomics, 55, 69-76. https://doi.org/10.1017/S0263574711000397
8. Karimi Avargani, S., Maleki, A., Besharati, S., & Ebrahimi, R. (2020). Muscle moment and angle of hip, knee and ankle joints in a seven-link model of backpack sprayer operator. Iranian Journal of Ergonomics, 8(3), 36-47. https://doi.org/10.30699/jergon.8.3.36
9. Kim, Y., Lee, K. M., & Koo, S. (2018). Joint moments and contact forces in the foot during walking. Journal of biomechanics, 74, 79-85. https://doi.org/10.1016/j.jbiomech.2018.04.022
10. Kouchakzadeh, A., & Beigzadeh, Y. (2015). Permitted working hours with a motorised backpack sprayer. Biosystems Engineering, 136, 1-7. https://doi.org/10.1016/j.biosystemseng.2015.05.005
11. Kuo, A. D. (2001). A simple model of bipedal walking predicts the preferred speed–step length relationship. Journal of Biomechanical Engineering, 123(3), 264-269. https://doi.org/10.1115/1.1372322
12. Lim, H., & Park, S. (2018). Kinematics of lower limbs during walking are emulated by springy walking model with a compliantly connected, off-centered curvy foot. Journal of Biomechanics, 71, 119-126. https://doi.org/10.1016/j.jbiomech.2018.01.031
13. Liu, B. S. (2007). Backpack load positioning and walking surface slope effects on physiological responses in infantry soldiers. International Journal of Industrial Ergonomics, 37(9-10), 754-760. https://doi.org/10.1016/j.ergon.2007.06.001
14. Ma, X., Xu, J., Fang, H., Lv, Y., & Zhang, X. (2022). Adaptive Neural Control for Gait Coordination of a Lower Limb Prosthesis. International Journal of Mechanical Sciences, 215, 106942. https://doi.org/10.1016/j.ijmecsci.2021.106942
15. Ma, X., Xu, J., & Zhang, X. (2023). Bilateral constrained control for prosthesis walking on stochastically uneven terrain. International Journal of Mechanical Sciences, 239, 107896. https://doi.org/10.1016/j.ijmecsci.2022.107896
16. Maletsky, L. P., & Hillberry, B. M. (2005). Simulating dynamic activities using a five-axis knee simulator. Journal of Biomechanical Engineering, 127, 123-133. https://doi.org/10.1115/1.1846070
17. Martin, A. E., & Schmiedeler, J. P. (2014). Predicting human walking gaits with a simple planar model. Journal of Biomechanics, 47(6), 1416-1421. https://doi.org/10.1016/j.jbiomech.2014.01.035
18. Sharbafi, M. A., & Seyfarth, A. (2015, May). Mimicking human walking with 5-link model using HZD controller. In 2015 IEEE International Conference on Robotics and Automation (ICRA)(pp. 6313-6319). IEEE. https://doi.org/10.1109/ICRA.2015.7140086
19. Tlalolini, D., Chevallereau, C., & Aoustin, Y. (2010). Human-like walking: Optimal motion of a bipedal robot with toe-rotation motion. IEEE/ASME Transactions on Mechatronics, 16(2), 310-320. https://doi.org/10.1109/TMECH.2010.2042458
20. Walsh, G. S., Low, D. C., & Arkesteijn, M. (2018) Effect of stable and unstable load carriage on walking gait variability, dynamic stability and muscle activity of older adults. Journal of Biomechanics, 73, 18-23. https://doi.org/10.1016/j.jbiomech.2018.03.018
21. Weiss, P. L., Kearney, R. E., & Hunter, I. W. (1986). Position dependence of ankle joint dynamics—I. Passive mechanics. Journal of Biomechanics, 19(9), 727-735. https://doi.org/10.1016/0021-9290(86)90196-X
22. Wisse, M., Schwab, A. L., & van der Helm, F. C. (2004). Passive dynamic walking model with upper body. Robotica, 22(6), 681-688. https://doi.org/10.1017/S0263574704000475