Multibody Dynamics Model for Analysis of Human Body Response to Vibrations

Author(s):  
Shanzhong (Shawn) Duan ◽  
Lars Mattison ◽  
Teresa Binkley

Some laboratory studies have showed that vibrational stimulation can enhance muscle strength and improve bone density, but it is not clearly understood how frequency and magnitude of vibration have effects on human muscles and bones. In this paper, a whole-body vibration case study is presented to help understand mechanism of human body responses to vibration intervention. A whole body vibration platform is used to provide a source of vibrational intervention. A person steps up and stands on the platform to experience whole-body vibration. Based on this whole-body vibration intervention case, a multibody biomechanical model is created to represent the human body and the WBV platform, and a sinusoidal force function is used to stand for vibrational input from the platform. Kane’s methods are used to derive equations of motion of this multibody biomechanical system. The model will be used to carry out computer simulation and to analyze how human body response to vibrations.

Author(s):  
Emma Gantzer ◽  
Shanzhong (Shawn) Duan ◽  
Teresa Binkley

Low magnitude, high frequency whole-body vibration (WBV) has been found to increase bone mineral density in both animal and clinical studies [1,2,3]. The mechanism behind this phenomenon is unknown and a model would be beneficial to assist in analyzing the effects of WBV on the human skeleton. In this paper, Kane’s method is used to find the equations of motion for a multi-body model of the human body standing on a vibration platform [4]. The model consists of nine rigid bodies connected by ideal joints that simulate the skeletal structure of the human body. Spring and damper elements represent the ligaments and tendons connecting the rigid bodies; a sinusoidal force function denotes the vibration input of the platform. This model is lumped, assuming no relative motion between the feet and the vibration platform. The equations of motion generated by Kane’s method are solved in MATLAB using fourth-order Runge-Kutta. The results from the simulation were compared to experimental data in order to validate the model.


2008 ◽  
Vol 2 (6) ◽  
pp. 1327-1338
Author(s):  
Gen TAMAOKI ◽  
Takuya YOSHIMURA ◽  
Kaoru KURIYAMA ◽  
Kazuma NAKAI

1987 ◽  
Vol 109 (3) ◽  
pp. 210-217 ◽  
Author(s):  
Farid M. L. Amirouche

A computer-automated approach for studying the human body vibration is presented. This includes vertical, horizontal, and torsional vibration. The procedure used is based on Finite Segment Modeling (FSM) of the human body, thus treating it as a mechanical structure. Kane’s equations as developed by Huston et al. are used to formulate the governing equations of motion. The connective tissues are modeled by springs and dampers. In addition, the paper presents the transient response of different parts of the body due to a sinusoidal forcing function as well as an impulse function applied to the lower torso in the vertical direction.


2020 ◽  
Vol 142 (7) ◽  
Author(s):  
Naser Nawayseh ◽  
Sadeque Hamdan

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.


2008 ◽  
Vol 23 (8) ◽  
pp. 1318-1325 ◽  
Author(s):  
Juha Kiiski ◽  
Ari Heinonen ◽  
Teppo L Järvinen ◽  
Pekka Kannus ◽  
Harri Sievänen

2010 ◽  
Vol 40 (6) ◽  
pp. 710-732 ◽  
Author(s):  
S. Rakheja ◽  
R.G. Dong ◽  
S. Patra ◽  
P.-É. Boileau ◽  
P. Marcotte ◽  
...  

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