Research on the required coefficient of friction and muscle force during recovery from unexpected slip

  • Liming Song School of Intelligent Manufacturing, Luoyang Institute of Science and Technology, Luoyang 471000, China; School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang, 471000, China
  • Zhiyu Min Henan Key Laboratory of Green Building Materials Manufacturing and Intelligent Equipment, Luoyang 471000, China; Henan Mechanical and Electrical Vocational College, Zhengzhou 451191, China
Keywords: the required friction coefficient; slip; musculoskeletal modeling; muscle force; recovery
Article ID: 235

Abstract

The required friction coefficient (RCOF) and muscle force are significant of exploring the human body recovery strategy after an unexpected slip. This paper quantitatively studied the muscle force distribution and response characteristics after an unexpected slip in conjunction with the variation of the required coefficient of friction (RCOF). Twenty healthy subjects were recruited for this research. Ground reaction force and gait motion data were collected by using the Vicon Motion System and AMTI force platforms. The required friction coefficient was calculated based on the ground reaction force. A musculoskeletal model was built in the Any Body Modeling System to determine the muscle forces. The results show that the RCOF changes significantly (p < 0.001) and approaches 0 at 12% of the gait cycle when a slip occurs, compared to non-slip conditions. During the recovery process, the values of semitendinosus, tibialis anterior, medial gastrocnemius, and lateral gastrocnemius increase by 27%, 103%, 34% and 61%, respectively. After successful recovery, there is no substantial change in muscle force in the selected muscles except for biceps femoris, medial gastrocnemius, and lateral gastrocnemius. This research suggests that biceps femoris, medial gastrocnemius, lateral gastrocnemius, tibialis anterior, and semitendinosus are with a greater impact on recovery after an unexpected slip. The paper will assist in rehabilitation training, developing effective anti-slip strategies, and conducting bipedal robot stability studies.

References

1. Tinetti ME, Baker DI, King M, et al. Effect of Dissemination of Evidence in Reducing Injuries from Falls. New England Journal of Medicine. 2008; 359(3): 252-261. doi: 10.1056/nejmoa0801748

2. Crenshaw JR, Bernhardt KA, Achenbach SJ, et al. The circumstances, orientations, and impact locations of falls in community-dwelling older women. Archives of Gerontology and Geriatrics. 2017; 73: 240-247. doi: 10.1016/j.archger.2017.07.011

3. Perkins MA, Carrier JW. Using R Shiny to develop a dashboard using IPEDS, U.S. Census, and bureau of labor statistics data. Kumar SAP, ed. PLOS ONE. 2023; 18(1): e0278573. doi: 10.1371/journal.pone.0278573

4. Guerin RJ, Reichard AA, Derk S, et al. Nonfatal Occupational Injuries to Younger Workers — United States, 2012–2018. MMWR Morbidity and Mortality Weekly Report. 2020; 69(35): 1204-1209. doi: 10.15585/mmwr.mm6935a3

5. Li J, Goerlandt F, Li KW. Slip and Fall Incidents at Work: A Visual Analytics Analysis of the Research Domain. International Journal of Environmental Research and Public Health. 2019; 16(24): 4972. doi: 10.3390/ijerph16244972

6. Li KW, Wu HH, Lin YC. The effect of shoe sole tread groove depth on the friction coefficient with different tread groove widths, floors and contaminants. Applied Ergonomics. 2006; 37(6): 743-748. doi: 10.1016/j.apergo.2005.11.007

7. Cham R. Redfern MS. Lower extremity corrective reactions to slip events. Journal of Biomechanics. 2001; 34: 1439-45.

8. Patel PJ, Bhatt T. Fall risk during opposing stance perturbations among healthy adults and chronic stroke survivors. Experimental Brain Research. 2017; 236(2): 619-628. doi: 10.1007/s00221-017-5138-6

9. Porras DC, Jacobs JV, Inzelberg R, et al. Patterns of whole-body muscle activations following vertical perturbations during standing and walking. Journal of Neuroengineering and Rehabilitation. 2021; 18: 75.

10. Redfern MS, Cham R, Gielo-Perczak K, et al. Biomechanics of slips. Ergonomics. 2001; 44(13): 1138-1166. doi: 10.1080/00140130110085547

11. Lockhart TE, Spaulding JM, Park SH. Age-related slip avoidance strategy while walking over a known slippery floor surface. Gait & Posture. 2007; 26(1): 142-149. doi: 10.1016/j.gaitpost.2006.08.009

12. Moyer BE, Chambers AJ, Redfern MS, et al. Gait parameters as predictors of slip severity in younger and older adults. Ergonomics. 2006; 49(4): 329-343. doi: 10.1080/00140130500478553

13. Brady RA. Foot displacement but not velocity predicts the outcome of a slip induced in young subjects while walking. Journal of Biomechanics. 2000; 33: 803-8.

14. Chander H, Garner JC, Wade C. Heel contact dynamics in alternative footwear during slip events. International Journal of Industrial Ergonomics. 2015; 48: 158-166. doi: 10.1016/j.ergon.2015.05.009

15. Debelle H, Harkness-Armstrong C, Hadwin K, et al. Recovery From a Forward Falling Slip: Measurement of Dynamic Stability and Strength Requirements Using a Split-Belt Instrumented Treadmill. Frontiers in Sports and Active Living. 2020; 2. doi: 10.3389/fspor.2020.00082

16. King ST, Eveld ME, Martínez A, et al. A novel system for introducing precisely-controlled, unanticipated gait perturbations for the study of stumble recovery. Journal of NeuroEngineering and Rehabilitation. 2019; 16(1). doi: 10.1186/s12984-019-0527-7

17. Yoo D, Seo KH, Lee BC. The effect of the most common gait perturbations on the compensatory limb’s ankle, knee, and hip moments during the first stepping response. Gait & Posture. 2019; 71: 98-104. doi: 10.1016/j.gaitpost.2019.04.013

18. Harish C, John C, Garner CW. Ground Reaction Forces in Alternative Footwear during Slip Events. International Journal of Kinesiology & Sports Science. 2015; 23: 558-569.

19. Pamukoff DN, Holmes SC, Garcia SA, et al. Influence of body mass index and anterior cruciate ligament reconstruction on gait biomechanics. Journal of Orthopaedic Research. 2022; 41(5): 994-1003. doi: 10.1002/jor.25451

20. Ahn J, Simpkins C, Yang F. Ground reaction forces and muscle activities during anteriorly-loaded overground walking: Preliminary results. International Journal of Industrial Ergonomics. 2022; 90: 103328. doi: 10.1016/j.ergon.2022.103328

21. Ripic Z, Kuenze C, Andersen MS, et al. Ground reaction force and joint moment estimation during gait using an Azure Kinect-driven musculoskeletal modeling approach. Gait & Posture. 2022; 95: 49-55. doi: 10.1016/j.gaitpost.2022.04.005

22. Beschorner KE, Albert DL, Redfern MS. Required coefficient of friction during level walking is predictive of slipping. Gait & Posture. 2016; 48: 256-260. doi: 10.1016/j.gaitpost.2016.06.003

23. Inkol KA, Huntley AH, Vallis LA. Repeated Exposure to Forward Support-Surface Perturbation During Overground Walking Alters Upper-Body Kinematics and Step Parameters. Journal of Motor Behavior. 2018; 51(3): 318-330. doi: 10.1080/00222895.2018.1474336

24. Burnfield JM, Powers CM. Prediction of slips: an evaluation of utilized coefficient of friction and available slip resistance. Ergonomics. 2006; 49(10): 982-995. doi: 10.1080/00140130600665687

25. Nagano H. Gait Biomechanics for Fall Prevention among Older Adults. Applied Sciences. 2022; 12(13): 6660. doi: 10.3390/app12136660

26. Rafeie R, Eftekhari Yazdi M, Nakhaee K, et al. The Effect Of Different Flooring On Friction And Gait Variables In The Elderly. Journal of Mechanics in Medicine and Biology. 2023; 23(05). doi: 10.1142/s021951942350032x

27. Waluś KJ, Warguła Ł, Wieczorek B, et al. Slip risk analysis on the surface of floors in public utility buildings. Journal of Building Engineering. 2022; 54: 104643. doi: 10.1016/j.jobe.2022.104643

28. Li KW, Huang S, Chiu W. Ground reaction force and required friction during stair ascent and descent. Human Factors and Ergonomics in Manufacturing & Service Industries. 2016; 27(1): 66-73. doi: 10.1002/hfm.20691

29. Kim YS, Hong YK. Positive and Negative Covariation Mechanism of Multiple Muscle Activities During Human Walking. The Journal of the Korea Contents Association. 2018; 18: 173-184.

30. Lockhart TE. An integrated approach towards identifying age-related mechanisms of slip initiated falls. Journal of Electromyography and Kinesiology. 2008; 18(2): 205-217. doi: 10.1016/j.jelekin.2007.06.006

31. Parijat P, Lockhart TE. Effects of quadriceps fatigue on the biomechanics of gait and slip propensity. Gait & Posture. 2008; 28(4): 568-573. doi: 10.1016/j.gaitpost.2008.04.001

32. Chambers AJ, Cham R. Slip-related muscle activation patterns in the stance leg during walking. Gait & Posture. 2007; 25(4): 565-572. doi: 10.1016/j.gaitpost.2006.06.007

33. Tang PF, Woollacott MH. Inefficient Postural Responses to Unexpected Slips During Walking in Older Adults. The Journals of Gerontology Series A: Biological Sciences and Medical Sciences. 1998; 53A(6): M471-M480. doi: 10.1093/gerona/53a.6.m471

34. Hof AL, Duysens J. Responses of human ankle muscles to mediolateral balance perturbations during walking. Human Movement Science. 2018; 57: 69-82. doi: 10.1016/j.humov.2017.11.009

35. Błażkiewicz M. Joint loads and muscle force distribution during classical and jazz pirouettes. Acta of Bioengineering and Biomechanics. 2021; 23(1). doi: 10.37190/abb-01675-2020-02

36. Allin LJ, Madigan ML. Effects of Manual Material Handling Workload on Measures of Fall Risk. IISE Transactions on Occupational Ergonomics and Human Factors. 2020; 8(3): 155-165. doi: 10.1080/24725838.2020.1850552

37. Chander H, Garner JC, Wade C, et al. Lower Extremity Muscle Activation in Alternative Footwear during Stance Phase of Slip Events. International Journal of Environmental Research and Public Health. 2021; 18(4): 1533. doi: 10.3390/ijerph18041533

38. Rashedi E, Kathawala K, Abdollahi M, et al. Recovering from Laboratory-Induced slips and trips causes high levels of lumbar muscle activity and spine loading. Journal of Electromyography and Kinesiology. 2023; 68: 102743. doi: 10.1016/j.jelekin.2023.102743

39. Rasmussen CM, Hunt NH. Unconstrained slip mechanics and stepping reactions depend on slip onset timing. Journal of Biomechanics. 2021; 125: 110572. doi: 10.1016/j.jbiomech.2021.110572

40. Lee H, Lee G, Lee S, et al. Assessing exposure to slip, trip, and fall hazards based on abnormal gait patterns predicted from confidence interval estimation. Automation in Construction. 2022; 139: 104253. doi: 10.1016/j.autcon.2022.104253

41. Lawrence D, Domone S, Heller B, et al. Gait adaptations to awareness and experience of a slip when walking on a cross-slope. Gait & Posture. 2015; 42(4): 575-579. doi: 10.1016/j.gaitpost.2015.09.006

42. Alexander, N., Schwameder, H. Lower limb joint forces during walking on the level and slopes at different inclinations. Gait & Posture. 2016,45:137-142.

43. Chrzan M, Michnik R, Myśliwiec A, et al. The influence of isometric rotation of the lower limb on the functioning of the knee joint stabilizers and rotator muscles. Acta of Bioengineering and Biomechanics. 2022; 24(4). doi: 10.37190/abb-02158-2022-01

44. Huntley AH, Rajachandrakumar R, Schinkel-Ivy A, et al. Characterizing slip-like responses during gait using an entire support surface perturbation: Comparisons to previously established slip methods. Gait & Posture. 2019; 69: 130-135. doi: 10.1016/j.gaitpost.2019.01.033

45. Piming G, Yaming Y, Hai S, et al. Three-dimensional ankle kinematics of the full gait cycle in patients with chronic ankle instability: A case-control study. Heliyon. 2023; 9(11): e22265. doi: 10.1016/j.heliyon.2023.e22265

46. Lew FL, Qu X. Effects of multi-joint muscular fatigue on biomechanics of slips. Journal of Biomechanics. 2014; 47(1): 59-64. doi: 10.1016/j.jbiomech.2013.10.010

47. Qu X, Hu X, Lew FL. Differences in lower extremity muscular responses between successful and failed balance recovery after slips. International Journal of Industrial Ergonomics. 2012; 42(5): 499-504. doi: 10.1016/j.ergon.2012.08.003

48. Horlings CG, van Engelen BG, Allum JH, et al. A weak balance: the contribution of muscle weakness to postural instability and falls. Nature Clinical Practice Neurology. 2008; 4(9): 504-515. doi: 10.1038/ncpneuro0886

49. O’Connell C, Chambers A, Mahboobin A, et al. Effects of slip severity on muscle activation of the trailing leg during an unexpected slip. Journal of Electromyography and Kinesiology. 2016; 28: 61-66. doi: 10.1016/j.jelekin.2016.02.007

50. Chang WR, Lesch MF, Chang CC, et al. Contribution of gait parameters and available coefficient of friction to perceptions of slipperiness. Gait & Posture. 2015; 41(1): 288-290. doi: 10.1016/j.gaitpost.2014.08.010

51. Rajachandrakumar R, Mann J, Schinkel-Ivy A, et al. Exploring the relationship between stability and variability of the centre of mass and centre of pressure. Gait & Posture. 2018; 63: 254-259. doi: 10.1016/j.gaitpost.2018.05.008

52. Varas D, Gonzalo. Effect of Cognitive, Impairment-Oriented and Task-Specific Interventions on Balance and Locomotion Control. University of Illinois at Chicago; 2021.

53. Okubo Y, Brodie MA, Sturnieks DL, et al. Exposure to trips and slips with increasing unpredictability while walking can improve balance recovery responses with minimum predictive gait alterations. Jan YK, ed. PLOS ONE. 2018; 13(9): e0202913. doi: 10.1371/journal.pone.0202913

54. Yang J, Jin D, Ji L, et al. The reaction strategy of lower extremity muscles when slips occur to individuals with trans-femoral amputation. Journal of Electromyography and Kinesiology. 2007; 17(2): 228-240. doi: 10.1016/j.jelekin.2006.01.013

55. Debelle H, Maganaris CN, O’Brien TD. Role of Knee and Ankle Extensors’ Muscle-Tendon Properties in Dynamic Balance Recovery from a Simulated Slip. Sensors. 2022; 22(9): 3483. doi: 10.3390/s22093483

56. Yang F, Cereceres P, Qiao M. Treadmill-based gait-slip training with reduced training volume could still prevent slip-related falls. Gait & Posture. 2018; 66: 160-165. doi: 10.1016/j.gaitpost.2018.08.029

57. Lee A, Bhatt T, Pai YC. Generalization of treadmill perturbation to overground slip during gait: Effect of different perturbation distances on slip recovery. Journal of Biomechanics. 2016; 49(2): 149-154. doi: 10.1016/j.jbiomech.2015.11.021

58. Yang F, Liu W. Biomechanical mechanism of Tai-Chi gait for preventing falls: A pilot study. Journal of Biomechanics. 2020; 105: 109769. doi: 10.1016/j.jbiomech.2020.109769

Published
2024-11-07
How to Cite
Song, L., & Min, Z. (2024). Research on the required coefficient of friction and muscle force during recovery from unexpected slip. Molecular & Cellular Biomechanics, 21(2), 235. https://doi.org/10.62617/mcb235
Section
Article