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Contents lists available at ScienceDirect

Medical Engineering and Physics
journal homepage: www.elsevier.com/locate/medengphy

A whole body vibration perception map and associated acceleration
loads at the lower leg, hip and head
Anelise Sonza a,b,∗, Nina Völkel b, Milton A. Zaro a, Matilde Achaval a, Ewald M. Hennig b
a

Post-graduate Program in Neurosciences, Instituto de Ciências Básicas da Saúde, Universidade Federal do Rio Grande do Sul, Sarmento Leite, 500, 90050-170,
Porto Alegre, Brazil
b
Biomechanics Laboratory, Institute of Sport and Movement Sciences, University Duisburg-Essen, Gladbecker Str. 182. 45141, Essen, Germany


a r t i c l e

i n f o

Article history:
Received 25 May 2014
Revised 21 January 2015
Accepted 16 April 2015
Available online xxx
Keywords:
Whole body vibration
Discomfort rate
Borg scale
Vibration perception map
Accelerometry
Vibration transmission

a b s t r a c t
Whole-body vibration (WBV) training has become popular in recent years. However, WBV may be harmful
to the human body. The goal of this study was to determine the acceleration magnitudes at different body

segments for different frequencies of WBV. Additionally, vibration sensation ratings by subjects served to
create perception vibration magnitude and discomfort maps of the human body. In the first of two experiments, 65 young adults mean (± SD) age range of 23 (± 3.0) years, participated in WBV severity perception
ratings, based on a Borg scale. Measurements were performed at 12 different frequencies, two intensities (3
and 5 mm amplitudes) of rotational mode WBV. On a separate day, a second experiment (n = 40) included
vertical accelerometry of the head, hip and lower leg with the same WBV settings. The highest lower limb
vibration magnitude perception based on the Borg scale was extremely intense for the frequencies between
21 and 25 Hz; somewhat hard for the trunk region (11–25 Hz) and fairly light for the head (13–25 Hz). The
highest vertical accelerations were found at a frequency of 23 Hz at the tibia, 9 Hz at the hip and 13 Hz at the
head. At 5 mm amplitude, 61.5% of the subjects reported discomfort in the foot region (21–25 Hz), 46.2% for
the lower back (17, 19 and 21 Hz) and 23% for the abdominal region (9–13 Hz). The range of 3–7 Hz represents
the safest frequency range with magnitudes less than 1 g∗ sec for all studied regions.
© 2015 IPEM. Published by Elsevier Ltd. All rights reserved.

Abbreviation
WBV

whole body vibration.

1. Introduction
Human exposure to vibration includes a wide range of topics in

different areas of research, including health sciences and engineering.
Research articles have demonstrated that WBV therapy can bring benefits for improving muscle strength [5,22], bone remodeling [23,30]
and for Parkinson’s disease [12,14]. However WBV can also cause negative effects by decreasing the sensitivity of fast-adapting mechanoreceptors in the human skin, and affecting balance [11,26,27]; its effects
can range from no effect to potentially harmful, depending on the
variables selected [10,13,24].
Although WBV uses frequencies and amplitudes lower than occupational vibrations, a study [1] estimated that the WBV settings in
common vibration training sessions (10 min per day, 30 Hz and 4 mm
amplitude) exceeded the recommendations of the International Organization for Standardization (ISO 2631—1:1:1997).


Corresponding author: Tel.: +555132792458. fax: +55 51 3308 3092.
E-mail address: anelise.sonza@gmail.com, anelisesonza@ufcspa.edu.br (A. Sonza).

Vibration effects on humans are manifold. Due to the large variability of experimental designs, the results in scientific literature are
often confusing. This is due to different vibration conditions (amplitude, frequency, oscillation mode), varying subject populations (age
and health status), and different study designs. There is a need for
research to determine the effects of WBV caused by changes in WBV
frequencies and amplitudes [27] to various parts of the body.
In this article, emphasis will be placed on discomfort and vibration
perception ratings as well as accelerometer measurements for different body parts in response to WBV exposure at 12 frequencies and

two vibration amplitudes. Whole-body vibration training equipment
produces high magnitude vibrations well above threshold detection.
Subjects exposed to WBV often report discomfort in different parts of
the body. Some studies have presented data about WBV transmissibility through the body of healthy [25] and injured individuals with
conditions such as spinal cord injury [2]. However, in this study, WBV
severity perception, discomfort rates and WBV transmissibility were
measured.
The human body and its individual organs have different natural frequencies. For example, vertical vibrations in the 5–10 Hz range
generally cause resonance in the thoracic-abdominal system [21]. The
mechanical energy transmission through the body caused by vibrations depends on body posture, body mass and muscle contractions

http://dx.doi.org/10.1016/j.medengphy.2015.04.003
1350-4533/© 2015 IPEM. Published by Elsevier Ltd. All rights reserved.

Please cite this article as: A. Sonza et al., A whole body vibration perception map and associated acceleration loads at the lower leg, hip and
head, Medical Engineering and Physics (2015), http://dx.doi.org/10.1016/j.medengphy.2015.04.003

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A. Sonza et al. / Medical Engineering and Physics 000 (2015) 1–8

Fig. 1. (a and b). Protocol timeline exemplifying the participant’s alignment (a) and the randomization method (b).

[18]. Resonance will occur if the external vibration frequency transmitted approaches or equals the natural frequency.
The entire body or affected body organs can vibrate at an amplified magnitude which is greater than the external source vibration
entering the body, especially, if the entering vibration is not dampened by other parts of the body before reaching a target organ [9,29]
which might be painful for an individual. Normally, the commercially
available WBV platforms have frequency ranges of 5–60 Hz, which
means resonance of body parts can occur. Therefore the frequencydependent magnitude of vibration loads on different parts of the body
is of interest.
The following hypotheses were tested in our study: (A) The subjective perception of vibration intensity is different for various body
parts; (B) Specific vibration frequencies can cause discomfort in different body parts; (C) Vibration magnitudes at the lower leg, hip and
the head vary with different WBV frequencies.
2. Material and methods
All participants signed a consent form and were informed about

the research procedures and potential risks. The procedures were
approved by the Ethics Committee of the University of DuisburgEssen (protocol number 13-5652-BO) and were in accordance with
the Declaration of Helsinki.
Data collection included anthropometrical measurements as body
mass and height, perception of body vibration magnitude and discomfort at 12 frequencies between 3 and 25 Hz (3, 5, 7, 9, 11, 13, 15,
17, 19, 21, 23 and 25 Hz) and two intensities (3 and 5 mm amplitude).
Two measurement series were performed on a rotational oscillation
mode WBV platform. The first one lasted approximately 25 min and
the second one 10 min. Data collection was done on two separate
days to avoid any cumulative effects from the vibration. Between
both measurement series a rest of at least 2 days was ensured.
The young healthy subjects were free from musculo-skeletal disorders and without cognitive or physical dysfunctions. Exclusion criteria were mainly epilepsy, insulin-dependent diabetes mellitus and
other conditions, according to Bautmans et al., [4]. All subjects were
invited to take part in the two measurements series; however, due to
time constraints only 40 subjects participated in both experiments.
2.1. First measurement series: WBV perception map and discomfort rate
Whole-body vibration training was performed on a vibration platform (Qionic-Board-Classic, QIONIC GmbH, Germany). The subjects
stood comfortably on the vibration platform, bare foot, with knees
slightly bent at approximately 10–15° in an upright position on a
fixed support base. Two thin ropes were used to control the subjects’

alignment; the first one was positioned in front of the participant
to avoid forward displacements of the trunk and the second one to
achieve the best body posture alignment (Fig. 1, a). The equipment
screen was remounted to prevent participants from seeing the vi-

Table 1
The 15-grade scale for ratings of perceived exertion [7].
6
7
8
9
10
11
12
13
14
15
16
17
18

19
20

Very, very light
Very light
Fairly light
Somewhat hard
Hard
Very hard
Very, very hard

bration frequency setting at which the vibration occurs. Prior to the
experiment, subjects were exposed to all frequencies that they would
experience during the measurements. Thus, they were able to sense
all vibration modalities occurring in the following experiment.
Platform frequency accuracy was determined at 23 different frequency settings (3–25 Hz) by fast Fourier transform (FFT) analysis
using the signals from a biaxial miniature capacitive accelerometer

R
model DA 2202-033 (Disynet , Germany) with a measuring range of

± 33 g. To determine the amplitudes for both vibration intensities of
the WBV platform, an ink pen was attached to the platform at the
two foot positioning lines on the plate. During these measurements
a person with the same characteristics of the participants stood on
the platform and the ink pen recorded the platform oscillation amplitudes on a paper fastened to a stand perpendicular to the plate
motion.
The frequency range for our experiments was limited to the available range of the chosen WBV equipment. For both oscillation amplitudes of 3 and 5 mm subjects were instructed to position the
longitudinal axis of their feet on top of the foot positioning lines
on the plate. The frequencies and amplitudes were randomized by
intensity (two amplitudes) and four frequency increase or decrease
sequence conditions (3–13 Hz up, 13 to 3 Hz down, 15–25 Hz up, 25
to 15 Hz down) (Fig. 1, b).
The body map vibration rating perceived exertion was assessed by
a modified categorical Borg scale [7]. This 15-point scale (with values
ranging from 6 to 20) has become a standard for rating perceived exertion (Table 1). The validated Borg scale [8], translated into German,
was used for the subjects to rate vibration magnitude for different
parts of the body (head, trunk, upper limbs and lower limbs).
For each condition subjects were also asked to identify the region
of the body where they felt most discomfort.
In each condition (24 in total), following 30 s of vibration exposure,

the subjects had to choose a number from the Borg scale to identify
the vibration intensity for four regions of the body (head, trunk, upper

Please cite this article as: A. Sonza et al., A whole body vibration perception map and associated acceleration loads at the lower leg, hip and
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Table 2
Frequencies subsets (Fsub ) for subjective WBV severity perception (65 subjects) for different
body parts while standing on a vibration platform for 12 frequencies (3–25 Hz) at two
intensities (3 mm, 5 mm). Bars represent the means for groups in homogeneous subsets.
Inter groups subsets differ between themselves (p ࣘ .01). Dotted boxes illustrate the main
subset groups. In general, frequencies with more interpolations were not considered for the

main subsets.
Fsub (Hz)

3

5

7

9

11

13

15

17

19

21

23

25

Lower 3mm
limbs
5mm

Trunk

3mm
5mm

Upper 3mm
Limbs 5mm
Head

3mm

5mm

and lower limbs). After finishing the Borg scale perception ratings for
the four regions of the body, the subjects answered the following two
questions: (1) Where in your body do you feel the strongest vibration?
and (2) At which part of the body do you perceive discomfort?
After the first 12 vibration exposures the participants had a 5minute break and then continued the second half of the experiment.

2.2. Second experiment: acceleration measurements
A second experiment was conducted with 40 subjects to measure
the accelerations at the lower leg, hip, and at the head. These subjects
were measured twice (in the first and second experiments) on two
different days.
Three uniaxial miniature capacitive accelerometers, model DA

R
1202-033 (Disynet , Germany), were positioned and fastened at the
tibia, spina iliaca anterior superior, and head. The participants were
instructed to maintain a fixed bent knee position (between 10 and
15°), head straight and looking forward during the whole procedure.
The same frequencies and amplitudes as used in the first experiment
were applied.
Two accelerometers were fastened to the skin of the mid-portion
of the tibia and the hip on the left side of the body. To decrease
skin movement, an elastic rubber band was used to press the tibial
accelerometer against the bone. The accelerometer was positioned
halfway between the lateral malleolus and the tibial tuberosity. In
order to reduce skin vibration at the hip an adjustable firm fitting
weightlifter belt was used. The accelerometer was positioned on the
belt at the anterior superior iliac spine location. The accelerometer for
measuring head vibration was placed between the teeth. The subjects
were required to bite and apply pressure to a thin layer of rubber that
covered a metal bite bar on which the accelerometer was fastened.
The disposable rubber material served to protect the teeth.

2.3. Statistical analysis
All variables (anthropometrical, subjective perception measurements and accelerometry data) were tested for normal distribution
with the Kolmogorov–Smirnov test for the whole group and the
Shapiro–Wilk test for gender comparison. Data were analyzed using Statistical Package for the Social Sciences (Version 17.0, SPSS Inc.,
Chicago, IL, USA) software.

All anthropometrical data were normal for gender stratification;
a mean comparison was applied for equal variances between two
samples with a level of significance of α = .05.
Despite the non-parametric nature of the body map vibration rating perceived exertion data and participants’ subjective assessments
of vibrations felt, differences between measurements for different
frequencies and amplitudes of WBV exposition were analyzed with
a multivariate analysis of variance test for multiple dependent variables (MANOVA), with a level of significance of α = .01. With small
sample sizes, non-parametric analyses are less likely to detect effects, or the power is reduced, or the confidence intervals are wider.
A non-parametric test applied to a large number of factors increases
the chances of a Type I error [3,6]. After verification of the effects between the variables, univariate analyses using Tukey’s post-hoc test
were applied.
The acceleration data were measured in multiples of g and processed for integrated full-wave rectified signals over a period of 2 s
(g ∗ sec) for a better estimation of the mechanical load at each of the
body locations. Since two measurement series were performed on
different days, the variable values were averaged across the 2 days
and used for further evaluation. The mean variation coefficient (VC)
was smaller than 10% for all frequencies and amplitudes between
days 1 and 2.
3. Results
3.1. Subjects
A total of 65 healthy subjects, 31 female and 34 male, mean (± SD)
age of 23.0 (± 3.0) years, mean height 177.3 cm (± 9.1) and weight
of 73.6 kg (± 11.3) were invited to the Biomechanics Laboratory of
the University of Duisburg-Essen (Germany), where the experiments
were conducted. The subjects were physically active students who
engaged in average of 9 h of exercise per week. Nine percent of them
had been trained on vibration platforms before. The population was
considered normal for the anthropometrical variables.
3.2. Vibration magnitude perception map of the body
Throughout the testing subjects were asked to rate the perceived vibration magnitude. The results are summarized in Fig. 2 and
Table 2.

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Fig. 2. Subjective WBV severity perception (65 subjects) for different body parts while standing on a vibration platform for 12 frequencies (3–25 Hz) at two intensities (3 mm,
5 mm). Single values with standard error (SE) are presented.

The MANOVA, including frequency and amplitude as independent
variables, gender as covariant and parts of the body as dependent variables showed effects for all regions except the upper limbs (p = 0.25;
power = 0.69) and amplitude for all regions (p < .01; power between
0.97 and 1). No interaction effects of amplitude versus frequency were
found for the four regions.
The general pattern shows (Fig. 2) that vibrations are felt most in
the lower limbs, followed by the trunk and head. Vibration magnitude
perception was lowest at the upper limbs.
Table 2 shows the homogeneous subset groups stratified by frequencies for subjective WBV severity perception. Vibration was felt
strongest by the participants in the lower limbs. In general, excluding bigger interpolation frequencies the following frequency ranges
are the same according to the subjects’ perception: 3 and 5 Hz, from
9 to 15 Hz and between 21 and 25 Hz. The lower frequency range
had a Borg scale perception around ‘fairly light’, for the intermediate
(9–15 Hz) the perception was ‘hard’. Close to the high frequency range
of 21–25 Hz the vibration perception was, according to the Borg scale,
between ‘very hard’ and ‘extremely hard’ (Table 1, Fig. 2).
Summarizing the results for the trunk region at both intensities,
there are two main frequency groups (Table 2). From 3–5 Hz and
11–25 Hz the vibration perception differs between but not within
groups. The vibration perception was ‘very light’ and between ‘somewhat hard and hard’, respectively (Table 1, Fig. 2).
No vibration perception differences were found for either intensity
of the frequencies in the upper limbs region. This was the region
where the subjects felt only a low vibration at all frequencies, judged
according to the Borg scale as between ‘very, very light’ and ‘light’
(Table 1, Fig. 2).

For the head region at the low intensity condition (3 mm) a significant difference for the vibration perception inter groups for the
subsets between 3 and 9 Hz and 13 and 25 Hz was found (Table 2).
For frequencies above 13 Hz the subjects started to feel the vibration
more in the head in comparison to the smaller frequencies, between
‘somewhat hard’ and ‘hard’, according to the Borg scale (Table 1,
Fig. 2).
The participants answered two more questions about their vibration perception: firstly, for each frequency they reported at which
body part they felt the highest vibration (Fig. 3A and B), secondly,
which body part they felt discomfort in for each frequency (Fig. 3C
and D). It was possible to give more than one answer for the second
question. The results are presented in Fig. 3 for both WBV intensities
(3 mm—A, C and 5 mm—B, D).
In general, it can be observed from the graphs in Fig. 3 that perceptions of highest vibration in the body and most discomfort differ.
Take as an example the vibration at the thigh (yellow line). Although
thigh vibrations are felt very much in the frequency range 3–15 Hz
(Fig. 3A and B), there is little discomfort associated with it (Fig. 3C and
D). However, for the head, lower back, lower legs and foot regions the
frequencies from the responses ‘feeling most’ and ‘discomfort’ are
close or coincide.
For the different regions of the body at the 3 mm amplitude, the
main frequencies at which the majority of the participants felt the
vibration most (and the frequency where they felt discomfort, presented in brackets) were: 19 Hz (19–23) for the head, 15 Hz (at point
17 and 25) for the lower back, 11 Hz for the thigh (19–21) and between 21 and 25 Hz for the lower legs (23–25) and 25 Hz for the feet
(25).

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Fig. 3. (A–D). Subjective WBV severity perceptions based on participants’ (n = 65) subjective perceptions for different platform settings. Figures (A) and (B) represent the number
of responses by the subjects for which parts of the body the subjects felt the most vibration. Figures (C) and (D) represent the number of responses by the subjects for the body
parts experiencing vibration discomfort.

For the 5 mm amplitude, the main frequencies causing the highest
levels of vibration perception were: at points 13 and 19 Hz for the
head (at points 15 and 19), 11–17 Hz for the lower back (at points 17
and 23), 9 Hz for the thigh (15), and between 21 and 23 Hz for the
lower legs and 25 Hz for the feet (25).

3.3. Accelerometry vibration loads at tibia, hip and head
Across the body regions, all frequencies, both WBV intensities,
and the peak accelerations measured by the three accelerometers
placed on the tibia, hip and head covered a range from 0.1 to 10.7 g
(g = earth’s gravitational constant).
Fig. 4A and B summarizes the platform accelerations in axial directions transmitted to the regions of the tibia, hip and head. Great
amplification of peak accelerations for these parameter settings occurred between 17 and 25 Hz for the region of tibia, 7–13 Hz for the
region of hip and between 11 and 25 Hz for the head.
Comparing the regions of the body, the acceleration integrals for
the low intensity (3 mm) vibrations differed between all three body
regions (except for at 3, 5 and 7 Hz). For the high intensity (5 mm) vibrations the acceleration integrals differed between all three body
regions for all frequencies between 9 and 25 Hz. At 5 and 7 Hz,
the acceleration integrals at the head differed from the hip and tibia
(Fig. 4A and B).
Comparing the acceleration integrals between the two intensities
and three body regions, they differ (p ࣘ .01) between all frequencies
except the frequencies 3 and 5 Hz for the head and 13 and 15 Hz for
the hip.

There is a load increase at the tibia for the higher frequencies.
However, the tibial loads remain similarly high from 17 Hz onward.
At the hip, a loading peak occurs at 9 Hz, becoming smaller until
19 Hz and then increasing again for the highest frequencies. Head
acceleration loads slowly increase with frequency and are highest at
13 Hz.
The homogeneous subset groups stratified by frequencies for the
acceleration values for the regions of tibia, hip and head are presented
in Table 3.
Acceleration values for the tibia region for both WBV intensities
(Table 3) have the same frequency ranges (excluding greater interpolation frequencies): 3 and 5 Hz, 13–15 Hz and between 21 and
25 Hz.
Summarizing the results for the hip region at both intensities,
there are three main homogeneous groups (Table 3). For the frequency
groups 3–5 Hz, 9–11 Hz, and 15–23 Hz the acceleration values differ
between but not within groups. For the head region, two main homogeneous subsets groups were found at 3–7 Hz and 11–25 Hz. Looking
at Tables 2 and 3, the main homogeneous groups of frequencies for
subjective perception and acceleration values are similar, especially
for the lower limbs and the head.
4. Discussion
The complex nature of the human body from a mechanical and
biological point of view makes us unique and different from one to
another. Nevertheless, mean responses in the perception of vibration
magnitude and discomfort are important for judging WBV equipment
used for training and in rehabilitation institutions. The additional

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Fig. 4. (A and B). Rectified integrated accelerations (2 s measuring interval) of the axial accelerations to the human body for different WBV platform settings. Mean intersubjects
and standard deviation (SD) are presented. Figure A represents the low (3 mm) and Figure B the high (5 mm) intensity WBV (n = 40). Bars represent the comparison between the
body regions’ intra frequencies (p ࣘ .01).

Table 3
Frequencies subsets (Fsub ) for accelerometry (40 subjects) in the regions of tibia, hip and
head for 12 frequencies (3–25 Hz) at two intensities (3 mm, 5 mm). Individual bars represent
groups of subsets with no statistically significant differences within the frequencies. Inter
groups subsets differ between themselves (p ࣘ .01). Dotted boxes are the main subsets
groups. In general, the frequencies with more interpolations were not considered for the
main subsets.
Fsub (Hz)

Tibia

3

5

7

9

11

13

15

17

25

19

21

23

3

5

19

21

17

23

15

7

25

13

11

9

3

5

19

21

17

15

23

13

25

7

11

9

3

5

7

9

25

23

15

17

19

21

11

13

3mm

5mm
Fsub (Hz)

Hip

3mm
Fsub (Hz)

5mm

Head

Fsub (Hz)

3mm
5mm

determination of acceleration loads at the tibia, hip and head provide
further information on the potential risks for the body. The subjective
vibration magnitude perception of the body and greatest sensitivities
reported may be related to resonance phenomena within the body.
This study shows the results for 12 different WBV frequencies and
two vibration magnitudes on vibration and discomfort perception. For
the regions of the lower limbs, trunk and head, the subjective WBV
severity perception based on the Borg scale increased with higher
amplitudes and frequencies. However, for upper limbs it was similar
across all frequencies and at two intensities (3 and 5 mm).
According to Thuong and Griffin [28] vibration frequency is the
main cause of discomfort. A study that measured the vibration propagation in men with and without spinal cord injury [2] during passive
WBV exposure in different postures, frequencies (25, 35 and 45 Hz)

and amplitudes (0.6 and 1.2 mm) of vibration found that variations in
frequency caused the biggest changes in propagation characteristics
followed by the knee angle and then amplitude, and this might have
happened because both amplitudes were small. In our study, when
the amplitude of the platform was increased from 3 to 5 mm the
acceleration magnitudes were about 0.7 times higher.
Thresholds for the perception of whole-body vibrations when sitting, standing or lying vary with the frequency and direction of vibration, with sensitivity being generally greater when lying than when
sitting or standing [19,20]. Such findings have influenced standardized frequency weightings for evaluating vibration with respect to
the probability of perception [15].
In general, the number of occurrences for discomfort, related to
the WBV in our experiments was not very high. However, one should

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Therefore, it is important to consider the perception of vibration
severity by subjects when applying WBV for training and rehabilitation purposes.
5. Conclusion

Fig. 5. Diagram representing the similar attenuation of the acceleration integral
(g ∗ sec) from the tibia to the hip and head for the two WBV intensities 3 and 5 mm.

consider that our subjects were healthy sports students and discomfort ratings are likely to be different for patients and/or elderly subjects. However, at 5 mm amplitude, 61.5% of our healthy sport students felt discomfort in the foot region in the range between 21 and
25 Hz. For the lower back region 46.2% felt discomfort at the frequencies of 17, 19 and 21 Hz and 23% felt abdominal discomfort in
the frequency range of 9–13 Hz. Discomfort can be related to resonance phenomena within the body and must be considered as a
possible source of undesirable side effects of using WBV [23]. Our results show that perceptions of highest vibration in the body and most
discomfort can differ. However, for the regions of head, lower back,
lower legs and foot the frequencies from the responses ‘feeling most’
and ‘discomfort’ are close or coincide.
As expected, the highest acceleration loads occurred at the tibia,
with maximal values between 19 and 25 Hz. For the hip, the highest
acceleration load was at 9 Hz and for the head at 13 Hz. A study [16]
measured four subjects on a WBV platform at different frequencies
and amplitudes. For a WBV platform, operating in vertical mode, the
authors reported substantial amplification of peak acceleration between 10 and 25 Hz for the knee region, 10 and 20 Hz for the hip, 10
and 40 Hz for the ankle and 10 Hz for the spine. Kleinöder and Mester
[17] measured 30 subjects on a Galileo 2000 platform at different frequencies. The subjects performed squats with added weights to the
body on the vibration plate. The authors found the highest transmission was to the head at low frequencies.
Transmission decreases rapidly for frequencies higher than 15 Hz
[18]. These findings differ from our results. This may be due to the
different position on the vibration plate or due to the additional load
which was used.
A study by Abercromby et al. [1] found that the transmission of
mechanical vibration energy at 30 Hz and 4 mm amplitude was 71–
189% greater in the upper body and head for platforms generating
vertical oscillations compared with platforms working in a pivotal
vibration mode. This means that rotational vibrations, as used in this
study, are likely to be less harmful compared to vertical oscillations.
However, the further apart your feet are from the equipment axis
(amplitudes can reach 14 mm in some machines) the mechanical
load on the body increases substantially.
Comparing the maximal acceleration integrals among all conditions (regions, amplitudes and frequencies), the lower legs had about
4.5 times higher magnitudes compared with the hip and 11 times
higher values than the head. The hip had about 2.5 times higher acceleration magnitudes compared with the head (Fig. 5). This demonstrates the attenuation capabilities of the human body from the feet
to the head. It is interesting to note that the attenuation from the
lower leg to the hip and head is very similar for both vibration intensities (Fig. 5). For the lowest frequency (3 Hz) the vertical acceleration
magnitudes were about the same for all three measured body regions.
Considering acceleration transmissibility, the frequency range from
3 to 7 Hz represents the safest frequency range with magnitudes of
less than 1 g.
There is a good match between subjective perceptions (Borg scale)
and measured acceleration integrals for the lower limbs and the head.
This shows that the subjective perceptions of higher vibration intensities can be related to the regions with higher acceleration peaks.

The subjective WBV severity perception, based on the Borg scale,
increased with higher platform oscillation amplitudes and frequencies. However, for the upper limbs it was similar for all frequencies
and both vibration intensities. Using Borg’s scale, the subjects’ perception ranged for lower limbs between ‘very hard’ and ‘extremely hard’
for the frequencies between 21 and 25 Hz. For the head (13–25 Hz)
was ‘fairly light’, and ‘somewhat hard’ for the trunk (11–25 Hz). In
general, the subjective magnitude estimation of vibration, using the
Borg scale, followed a similar trend as the acceleration integral values
determined at the lower leg, hip and head. This shows that people are
able to estimate the magnitude of vibrations in various parts of their
body and it suggests that machine settings should be chosen based
on the subject’s sensations (Borg scale). However, we also found that
body regions where subjects feel high vibrations do not necessarily
correspond with body sites where most pain or discomfort is felt. Furthermore, a subjective discomfort or pain perception can be related
to hazardous side effects. At 5 mm amplitude, 61.5% of the subjects
felt discomfort in the foot region (21–25 Hz), 46.2% in the lower back
region (17, 19 and 21 Hz) and 23% in the abdominal region (9–13 Hz).
The subject’s perception based on the Borg scale could be an important tool for choosing possible training regimens. If the subject
feels discomfort or pain, this could be a sign that the chosen settings
(frequency + amplitude + vibration mode) are not appropriate for
this individual. We suggest that the WBV frequency and amplitude
settings should be based on an individual’s perceptions.
It was found that the human body is capable of substantially attenuating vibration magnitudes from the lower legs to the hip and head.
The lower legs had about 4.5 times higher magnitudes compared to
the hip and 11 times higher values than the head. For the platform arrangement and settings used in this study, frequencies from 3 to 7 Hz
represented the safest frequency range with acceleration integrals of
less than 1 g∗ sec for all studied body regions.
Conflicts of interest
None declared.
Ethical approval
All procedures were approved by the Ethics Committee of the University of Duisburg-Essen (protocol number 13-5652-BO) and were
in accordance with Declaration of Helsinki.
Acknowledgments
CAPES (Comissão de Aperfeiçoamento de Pessoal de Nível
Superior)—Government of Brazil. Science without Borders Scholarship. Nina Redder for the technical support.
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Please cite this article as: A. Sonza et al., A whole body vibration perception map and associated acceleration loads at the lower leg, hip and
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Please cite this article as: A. Sonza et al., A whole body vibration perception map and associated acceleration loads at the lower leg, hip and
head, Medical Engineering and Physics (2015), http://dx.doi.org/10.1016/j.medengphy.2015.04.003