Development of a two-dimensional dynamic model of the foot-ankle system exposed to vibration

Chadefaux, Delphine; Goggins, Katie; Cazzaniga, Cesare; Marzaroli, Pietro; Marelli, Stefano; Katz, Richard T.; Eger, Tammy; Tarabini, Marco

doi:10.1016/j.jbiomech.2019.109547

Cited by 10 publications

(22 citation statements)

References 42 publications

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“…The values of transmissibility and apparent mass will be the basis for the development of biomechanical models as in (Chadefaux et al, 2020). Models, in turn, will open new perspectives in the design of effective protection elements.…”

Section: Implications In Standardizationmentioning

confidence: 99%

Vibration transmissibility and apparent mass changes from vertical whole-body vibration exposure during stationary and propelled walking

et al. 2021

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Whole-Body Vibration (WBV) is an occupational hazard affecting employees working with transportation, construction or heavy machinery. To minimize vibration-induced pathologies, ISO identified WBV exposure limits based on vibration transmissibility and apparent mass studies. The ISO guidelines do not account for variations in posture or movement. In our study, we measured the transmissibility and apparent mass at the mouth, lower back, and leg of participants during stationary and propelled walking. Stationary walking transmissibility was significantly higher at the lumbar spine and bite bar at 5 and 10 Hz compared to all higher frequencies while the distal tibia was lower at 5 Hz compared to 10 and 15 Hz. Propelled walking transmissibility was significantly higher at the bite bar and knee at 2 Hz than all higher frequencies. These results vary from previously published transmissibility values for static participants, showing that ISO standards should be adjusted for active workers.

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Section: Implications In Standardizationmentioning

confidence: 99%

Vibration transmissibility and apparent mass changes from vertical whole-body vibration exposure during stationary and propelled walking

et al. 2021

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“…Finally, to estimate the model sensitivity a Monte Carlo analysis (Chadefaux et al 2020) was conducted using 100 randomised combinations of the stiffness and damping parameters to estimate the three transmissibility functions. The stiffness and damping parameters were varied based on an assumed normal distribution with a mean equivalent to its optimised value and a standard deviation of 20% of the mean.…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…Neither the model nor the validation data is suitable for standing workers. A six mass model (four foot and two body segments) has also been presented which captures the vibration response of the foot over 10-100 Hz in a neutral standing position (Chadefaux et al 2020). Although this model incorporated more details of the foot, it was based on the person remaining in a neutral position and did not incorporate the influence of changes in the centre of pressure.…”

Section: Introductionmentioning

confidence: 99%

“…A recent analysis of the foot-ankle system's (FAS) transmissibility suggests that the overall response can be represented with measurements taken at four anatomical locations (nail bed of first toe, distal head of first metatarsal, middle of second metatarsal, and the lateral malleolous) (Goggins et al 2020). Chadefaux et al (2020) developed a model with four foot segments and five transmissibility responses. Further simplification may be possible; however, a foot that is composed of two segments is potentially the simplest model that would allow for different regions responses of the toes, midfoot, and hindfoot (Goggins et al 2019a).…”

Section: Introductionmentioning

confidence: 99%

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Four degree-of-freedom lumped parameter model of the foot-ankle system exposed to vertical vibration from 10 to 60 Hz with varying centre of pressure conditions

et al. 2021

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Modelling the foot-ankle system (FAS) while exposed to foot-transmitted vibration (FTV) is essential for designing inhibition methods to prevent the effects of vibration-induced whitefoot. K-means analysis was conducted on a data set containing vibration transmissibility from the floor to 24 anatomical locations on the right foot of 21 participants. The K-means analysis found three locations to be sufficient for summarising the FTV response. A three segment, four degrees-of-freedom lumped parameter model of the FAS was designed to model the transmissibility response at three locations when exposed to vertical vibration from 10 to 60 Hz. Reasonable results were found at the ankle, midfoot, and toes in the natural standing position (mean-squared error (e) ¼ 0.471, 0.089, 0.047) and forward centre of pressure (COP) (e ¼ 0.539, 0.058, 0.057). However, when the COP is backward, the model does not sufficiently capture the transmissibility response at the ankle (e ¼ 1.09, 0.219, 0.039). Practitioner summaryThe vibration transmissibility response of the foot-ankle system (FAS) was modelled with varying centre of pressure (COP) locations. Modelling the FAS using three transmissibility locations and two foot segments (rearfoot and forefoot) demonstrated reasonable results in a natural standing and forward COP position to test future intervention strategies.

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“…Data collected in these experiments were used by Chadefaux et al [10] to develop a 2D lumped parameter of the foot. The model parameters were determined by fitting the transmissibility and the apparent mass of subjects standing in a neutral position.…”

Section: Foot Response To Vibrationmentioning

confidence: 99%

Effect of the Shoe Sole on the Vibration Transmitted from the Supporting Surface to the Feet

et al. 2021

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Vibration transmitted through the foot can lead to vibration white feet, resulting in blanching of the toes and the disruption of blood circulation. Controlled studies identifying industrial boot characteristics effective at attenuating vibration exposure are lacking. This work focused on the evaluation of vibration transmissibility of boot midsole materials and insoles across the range 10–200 Hz at different foot locations. Questionnaires were used to evaluate the comfort of each material. The materials were less effective at attenuating vibration transmitted to the toe region of the foot than the heel. Between 10 and 20 Hz, all midsole materials reduced the average vibration transmitted to the foot. The average transmissibility at the toes above 100 Hz was larger than 1, evidencing that none of the tested material protects the worker from vibration-related risks. There was a poor correlation between the vibration transmissibility and the subjective evaluation of comfort. Future research is needed to identify materials effective for protecting both the toe and the heel regions of the foot. Specific standards for shoe testing are required as well.

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Development of a two-dimensional dynamic model of the foot-ankle system exposed to vibration

Cited by 10 publications

References 42 publications

Vibration transmissibility and apparent mass changes from vertical whole-body vibration exposure during stationary and propelled walking

Vibration transmissibility and apparent mass changes from vertical whole-body vibration exposure during stationary and propelled walking

Four degree-of-freedom lumped parameter model of the foot-ankle system exposed to vertical vibration from 10 to 60 Hz with varying centre of pressure conditions

Effect of the Shoe Sole on the Vibration Transmitted from the Supporting Surface to the Feet

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