Abstract

Absorbed power (AP) is a biodynamic response that is directly related to the magnitude and duration of vibration. No work has previously investigated the power absorbed by the standing human body during the exposure to vibration training conditions or otherwise. This article reports the power absorbed by the standing human body under whole-body vibration (WBV) training conditions. In this work, the force and acceleration used to calculate the apparent mass by Nawayseh and Hamdan (2019, “Apparent Mass of the Standing Human Body When Using a Whole-Body Vibration Training Machine: Effect of Knee Angle and Input Frequency,” J. Biomech., 82, pp. 291–298) were reanalyzed to obtain the AP. The reported acceleration was integrated to obtain the velocity needed to calculate the AP. The effects of bending the knees (knee angles of 180 deg, 165 deg, 150 deg, and 135 deg) and vibration frequency (17–42 Hz) on the power absorbed by 12 standing subjects were investigated. Due to the different vibration magnitudes at different frequencies, the AP was normalized by dividing it by the power spectral density (PSD) of the input acceleration to obtain the normalized AP (NAP). The results showed a dependency of the data on the input frequency as well as the knee angle. A peak in the data was observed between 20 and 24 Hz. Below and above the peak, the AP and NAP tend to increase with more bending of the knees indicating an increase in the damping of the system. This may indicate the need for an optimal knee angle during WBV training to prevent possible injuries especially with prolonged exposure to vibration at high vibration intensities.

References

1.
ISO
,
1997
, “
Mechanical Vibration and Shock- Evaluation of Human Exposure to Whole-Body Vibration—Part 1: General Requirements
,” International Standards Organization, Geneva, Switzerland, Standard No. ISO 2631-1.
2.
Matsumoto
,
Y.
, and
Griffin
,
M. J.
,
2002
, “
Non-Linear Characteristics in the Dynamic Responses of Seated Subjects Exposed to Vertical Whole-Body Vibration
,”
ASME J. Biomech. Eng.
,
124
(
5
), pp.
527
532
.10.1115/1.1499959
3.
Baig
,
H. A.
,
Dorman
,
D. B.
,
Bulka
,
B. A.
,
Shivers
,
B. L.
,
Chancey
,
V. C.
, and
Winkelstein
,
B. A.
,
2014
, “
Characterization of the Frequency and Muscle Responses of the Lumbar and Thoracic Spines of Seated Volunteers During Sinusoidal Whole Body Vibration
,”
ASME J. Biomech. Eng.
,
136
(
10
), p.
101002
.10.1115/1.4027998
4.
Griffin
,
M. J.
,
1990
,
Handbook of Human Vibration
,
Academic Press
,
London, UK
.
5.
Yang
,
F.
,
King
,
G. A.
,
Dillon
,
L.
, and
Su
,
X.
,
2015
, “
Controlled Whole-Body Vibration Training Reduces Risk of Falls Among Community-Dwelling Older Adults
,”
J. Biomech.
,
48
(
12
), pp.
3206
3212
.10.1016/j.jbiomech.2015.06.029
6.
Niehoff
,
A.
,
Hamann
,
N.
,
Ratiu
,
O.
,
Lechner
,
P.
,
Reuter
,
S.
,
Brüggemann
,
G.-P.
,
Schönau
,
E.
,
Bloch
,
W.
, and
Beccard
,
R.
,
2012
, “
The Influence of Whole-Body Vibration and IGF-I on Muscle Paralysis-Induced Bone Degradation
,”
J. Biomech.
,
45
(
Suppl
.), p.
S109
.10.1016/S0021-9290(12)70110-0
7.
Pollock
,
R. D.
,
Provan
,
S.
,
Martin
,
F. C.
, and
Newham
,
D. J.
,
2011
, “
The Effects of Whole Body Vibration on Balance, Joint Position Sense and Cutaneous Sensation
,”
Eur. J. Appl. Physiol.
,
111
(
12
), pp.
3069
3077
.10.1007/s00421-011-1943-y
8.
Sonza
,
A.
,
Robinson
,
C. C.
,
Achaval
,
M.
, and
Zaro
,
M. A.
,
2015
, “
Whole Body Vibration at Different Exposure Frequencies: Infrared Thermography and Physiological Effects
,”
Sci. World J.
,
2015
, p.
452657
.10.1155/2015/452657
9.
Lienhard
,
K.
,
Vienneau
,
J.
,
Nigg
,
S.
,
Friesenbichler
,
B.
, and
Nigg
,
B. M.
,
2017
, “
Older Adults Show Higher Increases in Lower-Limb Muscle Activity During Whole-Body Vibration Exercise
,”
J. Biomech.
,
52
, pp.
55
60
.10.1016/j.jbiomech.2016.12.009
10.
Bressel
,
E.
,
Smith
,
G.
, and
Branscomb
,
J.
,
2010
, “
Transmission of Whole Body Vibration in Children While Standing
,”
Clin. Biomech.
,
25
(
2
), pp.
181
186
.10.1016/j.clinbiomech.2009.10.016
11.
Cook
,
D. P.
,
Mileva
,
K. N.
,
James
,
D. C.
,
Zaidell
,
L. N.
,
Goss
,
V. G.
, and
Bowtell
,
J. L.
,
2011
, “
Triaxial Modulation of the Acceleration Induced in the Lower Extremity During Whole-Body Vibration Training: A Pilot Study
,”
J. Strength Cond. Res.
,
25
(
2
), pp.
298
308
.10.1519/JSC.0b013e3181be3003
12.
Nawayseh
,
N.
,
2019
, “
Transmission of Vibration From a Vibrating Plate to the Head of Standing People
,”
Sport. Biomech.
,
18
(
5
), pp.
482
500
.10.1080/14763141.2018.1434233
13.
Abercromby
,
A. F. J.
,
Amonette
,
W. E.
,
Layne
,
C. S.
,
McFarlin
,
B. K.
,
Hinman
,
M. R.
, and
Paloski
,
W. H.
,
2007
, “
Vibration Exposure and Biodynamic Responses During Whole-Body Vibration Training
,”
Med. Sci. Sports Exercise
,
39
(
10
), pp.
1794
1800
.10.1249/mss.0b013e3181238a0f
14.
Nawayseh
,
N.
, and
Hamdan
,
S.
,
2019
, “
Apparent Mass of the Standing Human Body When Using a Whole-Body Vibration Training Machine: Effect of Knee Angle and Input Frequency
,”
J. Biomech.
,
82
, pp.
291
298
.10.1016/j.jbiomech.2018.11.003
15.
Nawayseh
,
N.
,
Al Sinan
,
H.
,
Alteneiji
,
S.
, and
Hamdan
,
S.
,
2019
, “
Effect of Gender on the Biodynamic Responses to Vibration Induced by a Whole-Body Vibration Training Machine
,”
Proc. Inst. Mech. Eng., Part H
,
233
(
3
), pp.
383
392
.10.1177/0954411919830122
16.
Kiiski
,
J.
,
Heinonen
,
A.
,
Järvinen
,
T. L.
,
Kannus
,
P.
, and
Sievänen
,
H.
,
2008
, “
Transmission of Vertical Whole Body Vibration to the Human Body
,”
J. Bone Miner. Res.
,
23
(
8
), pp.
1318
1325
.10.1359/jbmr.080315
17.
Friesenbichler
,
B.
,
Lienhard
,
K.
,
Vienneau
,
J.
, and
Nigg
,
B. M.
,
2014
, “
Vibration Transmission to Lower Extremity Soft Tissues During Whole-Body Vibration
,”
J. Biomech.
,
47
(
12
), pp.
2858
2862
.10.1016/j.jbiomech.2014.07.028
18.
Munera
,
M.
,
Bertucci
,
W.
,
Duc
,
S.
, and
Chiementin
,
X.
,
2016
, “
Transmission of Whole Body Vibration to the Lower Body in Static and Dynamic Half-Squat Exercises
,”
Sport. Biomech.
,
15
(
4
), pp.
409
428
.10.1080/14763141.2016.1171894
19.
Tankisheva
,
E.
,
Jonkers
,
I.
,
Boonen
,
S.
,
Delecluse
,
C.
,
van Lenthe
,
G. H.
,
Druyts
,
H. L. J.
,
Spaepen
,
P.
, and
Verschueren
,
S. M. P.
,
2013
, “
Transmission of Whole-Body Vibration and Its Effect on Muscle Activation
,”
J. Strength Cond. Res.
,
27
(
9
), pp.
2533
2541
.10.1519/JSC.0b013e31827f1225
20.
Lundström
,
R.
,
Holmlund
,
P.
, and
Lindberg
,
L.
,
1998
, “
Absorption of Energy During Vertical Whole-Body Vibration Exposure
,”
J. Biomech.
,
31
(
4
), pp.
317
326
.10.1016/S0021-9290(98)00011-6
21.
Mansfield
,
N. J.
,
Holmlund
,
P.
, and
Lundström
,
R.
,
2001
, “
Apparent Mass and Absorbed Power During Exposure to Whole-Body Vibration and Repeated Shocks
,”
J. Sound Vib.
,
248
(
3
), pp.
427
440
.10.1006/jsvi.2001.3796
22.
Mansfield
,
N. J.
, and
Griffin
,
M. J.
,
1998
, “
Effect of Magnitude of Vertical Whole-Body Vibration on Absorbed Power for the Seated Human Body
,”
J. Sound Vib.
,
215
(
4
), pp.
813
825
.10.1006/jsvi.1998.1596
23.
Wang
,
W.
,
Rakheja
,
S.
, and
Boileau
,
P. É.
,
2006
, “
The Role of Seat Geometry and Posture on the Mechanical Energy Absorption Characteristics of Seated Occupants Under Vertical Vibration
,”
Int. J. Ind. Ergon.
,
36
(
2
), pp.
171
184
.10.1016/j.ergon.2005.09.006
24.
Lee
,
R. A.
, and
Pradko
,
F.
,
1968
, “
Analytical Analysis of Human Vibration
,”
Automotive Engineering Congress and Exposition
,
Society of Automotive Engineers
,
Detroit, MI
, p.
680091
.
25.
Dewangan
,
K. N.
,
Rakheja
,
S.
, and
Marcotte
,
P.
,
2018
, “
Gender and Anthropometric Effects on Whole-Body Vibration Power Absorption of the Seated Body
,”
J. Low Freq. Noise Vib. Act. Control
,
37
(
2
), pp.
167
190
.10.1177/1461348418780017
26.
Nawayseh
,
N.
, and
Griffin
,
M. J.
,
2012
, “
Power Absorbed During Whole-Body Fore-and-Aft Vibration: Effects of Sitting Posture, Backrest, and Footrest
,”
J. Sound Vib.
,
331
(
1
), pp.
252
262
.10.1016/j.jsv.2011.08.015
27.
Nawayseh
,
N.
, and
Griffin
,
M. J.
,
2010
, “
Power Absorbed During Whole-Body Vertical Vibration: Effects of Sitting Posture, Backrest, and Footrest
,”
J. Sound Vib.
,
329
(
14
), pp. 2928–2938.10.1016/j.jsv.2010.01.025
28.
Matsumoto
,
Y.
, and
Griffin
,
M. J.
,
2000
, “
Comparison of Biodynamic Responses in Standing and Seated Human Bodies
,”
J. Sound Vib.
,
238
(
4
), pp.
691
704
.10.1006/jsvi.2000.3133
29.
Paddan
,
G. S.
, and
Griffin
,
M. J.
,
1993
, “
The Transmission of Translational Floor Vibration to the Heads of Standing Subjects
,”
J. Sound Vib.
,
160
(
3
), pp.
503
521
.10.1006/jsvi.1993.1041
30.
Wakeling
,
J. M.
,
Nigg
,
B. M.
, and
Rozitis
,
A. I.
,
2002
, “
Muscle Activity Damps the Soft Tissue Resonance That Occurs in Response to Pulsed and Continuous Vibrations
,”
J. Appl. Physiol.
,
93
(
3
), pp.
1093
1103
.10.1152/japplphysiol.00142.2002
31.
Nawayseh
,
N.
, and
Griffin
,
M. J.
,
2003
, “
Non-Linear Dual-Axis Biodynamic Response to Vertical Whole-Body Vibration
,”
J. Sound Vib.
,
268
(
3
), pp.
503
523
.10.1016/S0022-460X(03)00254-2
32.
Lundström
,
R.
, and
Holmlund
,
P.
,
1998
, “
Absorption of Energy During Whole-Body Vibration Exposure
,”
J. Sound Vib.
,
215
(
4
), pp.
789
799
.10.1006/jsvi.1998.1594
33.
Goggins
,
K.
,
Tarabini
,
M.
,
Lievers
,
B.
, and
Eger
,
T.
,
2018
, “
Standing Centre of Pressure Alters the Vibration Transmissibility Response of the Foot
,”
Seventh American Conference on Human Vibration
, Seattle, WA, June 13–15, pp.
33
34
.
34.
Tarabini
,
M.
,
Saggin
,
B.
,
Scaccabarozzi
,
D.
,
Gaviraghi
,
D.
, and
Moschioni
,
G.
,
2013
, “
Apparent Mass Distribution at the Feet of Standing Subjects Exposed to Whole-Body Vibration
,”
Ergonomics
,
56
(
5
), pp.
842
855
.10.1080/00140139.2013.776704
35.
Holmlund
,
P.
,
1999
, “
Absorbed Power and Mechanical Impedance of the Seated Human Measured Within a Real Vehicle Environment Compared With Single Axis Laboratory Data
,”
J. Low Freq. Noise Vib. Act. Control
,
18
(
3
), pp.
97
110
.10.1177/026309239901800301
36.
Khassetarash
,
A.
,
Hassannejad
,
R.
,
Enders
,
H.
, and
Ettefagh
,
M. M.
,
2015
, “
Damping and Energy Dissipation in Soft Tissue Vibrations During Running
,”
J. Biomech.
,
48
(
2
), pp.
204
209
.10.1016/j.jbiomech.2014.11.051
37.
Budynas
,
R. G.
, and
Nisbett
,
J. K.
,
2015
,
Shigley's Mechanical Engineering Design
,
McGraw-Hill
,
New York
.
You do not currently have access to this content.