Abstract
This cross-sectional study was done aiming at determining the exposure of taxi drivers to vibration on 35 safe taxis (19 cars with engine volume of 1.325 L, 9 cars with engine volume of 1.645 L, and 7 cars with engine volume of 1.761 L). Measurements were based on ‘ISO 2631-1’ on seats’ pans, by Castel GA2005 vibrometer. The results through two different evaluative methods indicated moderate exposure levels, corresponding to suggestive Health Guidance Caution Zone (HGCZ) in ‘ISO 2631-1’. Evaluation of exposure to the WBV among taxi drivers, in the taxis with low and high mean acceleration values, using the VDV method is preferred over the R.M.S method. In lower accelerations, in all conditions, the mean of the reckoned values in the VDV method was less than the R.M.S method, and in higher accelerations, where there are more differences, and the CF values were higher (PAIK 1761 cars), again the assessed mean duration in the VDV method is less than R.M.S method. In higher accelerations and with fewer crest factors, this matter didn’t hold, and the allowed time in the R.M.S method became lower.
Introduction
Whole body vibration (WBV) is a known occupational hazard for many workers such as drivers and machinists of heavy and light equipment, and exposure to it is accompanied by physical and mental consequences.1–4 All means of transportation are subjected to vibration that may cause discomfort, interference with activities, and injuries if transmitted to the driver or passengers. Some people (e.g., taxi and tractor drivers) are at a more distress and health risk from exposure to vibration due to the nature of their job. 1 The literature shows that exposure to whole-body vibration (WBV) could cause undesirable side effects such as metabolic disorders, and cardiovascular and nervous system problems in sitting operators. 2 Besides, exposure to vibration causes intervention in activities, affects travel convenience, and creates various health effects. Studies show, that passing through the Pothole at ride speeds of 40 km/h and above at depths of 7.5 cm and above, possible health risk happens in the human body.3,4 In most transport systems, vibration is transferred to passengers via seats. The human body’s ability to transmit vibrations depends on its biodynamic reactions, particularly where the vibration enters the body (like on a seat) and where the vibration is measured on the body (e.g., on the head). 6 In addition, vibration transferring usually depends on acceleration, transmissibility, interface force, apparent mass during different vibration settings, body posture, age, gender, frequency content, entrance direction, and seat reactions at the vibration entrance place.5–7 Vibrations with a lower than 12 Hz frequency influence the entire body, while vibrations with a frequency higher than 12 Hz mainly have local effects.7,8 Prolonged exposure to whole-body vibration, has a strong correlation with low back pain.9–12 Undesirable side effects in cardiovascular, respiratory, digestive, reproductive, endocrine, and metabolic systems are some health effects related to WBV.2,9 Exposure assessment of different drivers of different vehicles including tractor drivers (Singh et al., 2023), motor riders (Parvez et al., 2021), subway drivers (Khavanin et al. and El Sayed et al.), car and taxi drivers (Funakoshi et al. and Chen JC et al.), and various passenger aircraft and pilots (Ciloglu H et al. and Burstorm et al., 2006) have been evaluated.7,13–19 However, the number of conducted researches in the field of exposure to (WBV) with moderate and low severity in jobs like taxi drivers is still limited in Iran. The same limited number of studies on taxi drivers were done according to the basic method.
Man’s response to (WBV) could be investigated with two main standards of ‘ISO 2631-1’ and BS6841, widely used in scientific articles.4,20,21 In this study, vibration exposure evaluation was done based on the suggested methods of ISO 2631-1: 1997, 2010; i.e., two methods of root mean squares acceleration and vibration dose value (VDV). Utilizing the second method, which is based on the fourth root of biquadratic acceleration, is preferred in evaluating signals with repetitive shocks and a high range of sensitivity. 22 ‘ISO 2631-1’ suggests a guide known as HGCZ (Health Guidance Caution Zone) for evaluating the health effects of whole-body vibrations. According to this guide, in exposures less than HGCZ’s boundary, no health effects have been documented, but exposure within the (HGCZ) is injury-potential, and for more than (HGCZ) Boundaries, there is the risk of health effects probability. In an 8-h-long exposure (8-h exposure), low and high boundaries of (HGCZ) are 0.45 and 0.85 m/s2 and related (HGCZ) of (VDV) method are 8.5 and 17 m/s1.75, respectively. 22
This study was conducted to evaluate the exposure of taxi drivers to (WBV) within normal daily activities in normal urban traffic for evaluating the potentiality of health risks resulting from exposure of the drivers.
Materials and methods
Sample size
Investigated cars properties.

Cars appearance feature.
Measurements approaches
• All measurements were done based on the guidelines of ‘ISO 2631-1’ on the seat pan when the seat belt was fastened and no extra cushion was used with the usual velocity for urban travels (20 to 50 km/h) and when the back rest had a 100-degree angle with seat pan (Figure 2). Furthermore, acceleration measurement was done simultaneously on three axes of X, Y, and Z with weighing filters of Wd, Wd, and Wk with Castel GA2005 vibrometer and analyzer. • Based on ‘ISO 2631-1’ and ‘ISO 10326-1 guidelines: when we had a dominant axis in the measurements of R.M.S acceleration and (VDV) in three axes, we used the dominant axis. When there was not any dominant axis, we utilized the vector sum of value (VSV) method and multiplied factors of 1.4 in X and Y axes as an evaluation scale for each driver or taxi. • The selected route was one of the busiest areas in the center of Tehran and was 5.6 km long from Gisha gas station to Vanak square. (Figure 3). • Daily periods have been reported to be 18 h in different articles.
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In this study, the exposure amount of drivers after averaging the expressed average periods by the drivers equaled 8 h (420 to 540 min). Thus, 8-h-long exposure was used as a scale for determining daily VDV. • Allowed daily exposure duration (TE) in R.M.S and VDV methods was estimated based on ‘ISO 2631-1’ equations (1) and (2). In these equations, EB stands for the high or low exposure boundary of 8-h exposure offered by (HGCZ) in (ISO) and T is said to be the daily allowed period (8 h). Vibration measurement (position of vibrometer and driver). Selected route (Google map). • Calculations and statistical analysis of the results were done by SPSS (Ver. 22). Related correlations have been suggested by ‘ISO 2631-1’.22,23 ANOVA test was utilized for determining meaningful statistical relationships between cars and different variables with the use of (SPSS), and for discovering the relationship between R.M.S and (VDV) values, the Spearman test was utilized. • In all samples, in the measured time, there was the driver and another person on the front seat (with the weight of 78 kg and the height of 176 cm), who was there to do configurations and adjustments of the measuring device. •


Results
Whole-body vibration measurement data in taxi drivers.
In 26 measured cases, crest factor (CF) amount, at least in one of the axes was higher than 9 (one of the evaluation-determining scales of ISO) and in all 35 samples, its amount exceeded 6, at least in one of the major axes (the recommended critical amount specified in BS 6841). Hence, the second evaluation method (VDV) was used based on the recommendations of valid standards in determining taxi drivers’ exposure amount. Average (CF) values (without any dimension) in the measured axes and different taxis are shown in Figure 4. Average CF values (without dimension) in measurement axes and different taxis.
Average frequency-weighted R.M.S acceleration and VDV values.
Analysis of the measured data of R.M.S acceleration and car type showed that there is a statistically meaningful difference between R.M.S acceleration values of PAIK 1.761 and other types of cars (p < .05). Similarly, there was found a statistically significant difference between VDV amount of this type of cars and other cars.
The difference between measured mean values with acceleration increase of the cars in relation with z-axis in the measured the VDV values (p < .05). In other (VDV) axes and in all three measured axes, R.M.S mean amount in this study, no definite relationship/correlation was existing.
R.M.S calculations show that, in five cases, the weighted R.M.S acceleration amount was higher than in the upper boundary of HGCZ (0.85 m/s^2). Two out of these five cases were related to the 19 S 1325, 2 of them were related to 7 PAIK cars, and one of them was related to the 9 IK 1645 cars (Figure 5). The VDV8h and aw values of the WBV measured on the taxi in all. of 35 samples and relevant HGCZ.
Figure 6 shows the exposure period based on the lower boundary of (HGCZ) in all the cars, allowed exposure time in the (VDV) method. Exposure duration based on the HGCZ according to basic and VDV method.
Discussion
Based on the Figure 4, the (CF) amount of PAIK 1761 cars was meaningfully higher than (CF) amount of the two other types of cars. Average (CF) values in x-axis in this group of taxis were meaningfully more than such amount in other axes. However, there was no statistically meaningful difference between average (CF) values in the x, y, and z axes for S1325 and IK 1645 cars.
In addition, in Table 3, the obtained results showthat, in general, R.M.S mean values were the highest on the z-axis with the amount of 0.47 m/s2,and they were the lowest in x-axis with the amount of 0.28 m/s2 in all the 35 samples. Moreover, in all three types of cars, the mean values of the z-axis had higher R.M.S acceleration in comparison to the mean values of the x and y axes. R.M.S acceleration values of 29 out of 35 samples were in the z-axis (before the multiplication of 1.4 to x,y axis), in 5 samples the dominant axis was the x-axis, and only in one S1325 car, the severe axis was the y-axis. Furthermore, in evaluating (VDV) index, after applying the coefficients of X and Y-axes, almost similar to the R.M.S method, about 75% (26 samples) had a large z-axis. In 9 cases, in 5 of them, the x-axis was the dominant, and in 4 cases, they-axis was the dominant.
Based on the measurements, Z was the dominant axis, which is Compatible with the previous researche in industrial vehicles, trains, and cars.9,16,17,21,24–26
Urban transport drivers, especially taxi drivers, are among those few jobs that are exposed to moderate levels of (WBV) in all working shifts. 18
Taxi drivers of metropolises are usually exposed to 8-h-long vibrations. Considering approximately high values of crest factors in urban environments due to the existence of uneven surfaces and numerous speed bumps on streets, utilizing (VDV) method is more beneficial and shows more precise exposure values.
Furthermore, in this study, a critical amount of crest factor, which equaled 9, was chosen for determining the priority of the evaluative quantitative method of (WBV). Based on ‘ISO 2631-1’ and ‘ISO 10326-1’, in the case of the existence of a dominant axis, the same axis became the scale of evaluation, otherwise, multi-axis measurements were used.22,23
Reviewing the results of R.M.S acceleration evaluation indicated that exposure values of 8 taxi drivers were proved to be lower than (HGCZ) limit which is 0.45
In the VDV method, the exposure values of 6 drivers were higher than the upper boundary of (HGCZ) where 3 samples were S 1325, 2 samples were from 7 drivers of PAIK cars and a sample was related to IK 1645 cars. The results of this part were somehow similar to the results of RMS method. Besides, according to the VDV method, the exposure of 15 drivers was lower than the HGCZ lower boundary and the exposure of 14 drivers was within the HGCZ defined in ‘ISO 2631’. As the measurement results suggest, average R.M.S acceleration values in z-axis equaled 0.47 m/s2.
Mean R.M.S acceleration and VDV values (standard deviation) extracted from similar studies on urban transport in comparison to the resulted findings of this study.
Based on the demonstrated results in able 3, average R.M.S values were higher in comparison to the values resulted from some studies on cars in Taipei Malaysia and Funakoshiin Japan, and a study by Paddan and Griffin, and are less than the results of the study by El Sayed et al., in Cairo of Egypt, which was only done on two cars and on passengers’ seats. The mean VDV values of this research were 20 to 30% less than the reported values in the study by Chen et al., 2003 and El Sayed et al, 2012, and were about 80 percentage points more than the mean values reported by Paddan& Griffin.
As Figure 6 indicates, in determining the exposure period based on the lower boundary of (HGCZ) in all the cars, the allowed exposure time in the (VDV) method was less than the values resulting from the R.M.S method. The evaluated exposure time through R.M.S method in all the samples based on the lower boundary of (HGCZ), was 2.5 times more than the results through (VDV) method, and in determining exposure time based on the evaluated periods based on the upper boundary of (HGCZ) by R.M.S and (VDV) methods, in all the cases except taxis from PAIK group, average evaluated periods in different cars in (VDV) method was more than R.M.S method.
In a way that, allowed exposure duration, which is based on HGCZ’s upper boundary, through (VDV) method, was about 80% more than the results gained through the R.M.S method. However, the usual (VDV) method is that in these conditions, PAIK cars had the highest R.M.S, (VDV), and (CF) mean values, and the difference between them and the two other types of cars became meaningful (p < .05). Evaluating exposure time based on the upper boundary of (HGCZ) showed that, the evaluated exposure time equals with 65% of the evaluated exposure time by the RMS method. Anyway, the difference between these two conditions is related to the uncertainty of other relevant researche like studies by Alem, Zhao, and Khavanin et al., in various fields.15,22,25,27
Considering very high differences between evaluated exposure duration by R.M.S and (VDV) methods, it can be interpreted that, still there is a need to many reviews on the limits of (HGCZ) to improve and recommend general or specific (VDV) boundaries (especially the determined upper boundary). 28
If presented lower and upper boundaries for military vehicles by Alem are compared to the results of the present study, the exposure period of all 35 drivers go beyond the evaluated limit, and the allowed exposure periods should be decreased. 27
The findings of this study display that, based on the daily exposure time and long exposure period of the drivers, cars with high R.M.S acceleration and (VDV) values (PAIK 1761 cars) should be incrementally discarded from the range of public transportation, and cars with low R.M.S and (VDV) values be utilized. In evaluating the results of tire widths, it became clear that cars with tire width of 175 mm were meaningfully lower than the cars with other tire widths. However, there was a negative meaningful relationship in the study by Jiu-Chiuan Chen et al, 2004 for cars with a tire width of 165 mm, which is the counterpart of the results of this study. The values of CF in the tires with a width of 175 mm were less than the results of tires with smaller widths. 29
Conclusion
The results show that evaluation of exposure to the WBV among taxi drivers, in the taxis with low and high mean acceleration values, using the VDV method is preferred over the R.M.S method. In lower accelerations, in all conditions, the mean of the reckoned values in the VDV method was less than the R.M.S method, and in higher accelerations, where there are more differences, and the CF values were higher (PAIK 1761 cars), again the assessed mean duration in the VDV method is less than R.M.S method. In higher accelerations and with fewer crest factors, this matter didn’t hold, and the allowed time in the R.M.S method became lower.
Limitations
Due to the limited sample volumes of this study and the very different features of (WBV) in vehicles with various suspension systems, still, serious attempts are required to confirm, update, and reduce whole-body vibration.
Footnotes
Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This project was supported by the Shahid Beheshti University of Medical Sciences (Grant No. 43003165).
