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TECHNICAL PAPERS: Joint/Whole Body

# Identification and Experimental Validation of Damping Ratios of Different Human Body Segments Through Anthropometric Vibratory Model in Standing Posture

[+] Author and Article Information
T. C. Gupta

Department of Mechanical Engineering, Malaviya National Institute of Technology, Jaipur 302 017, Indiatcgmnit@indiatimes.com

J Biomech Eng 129(4), 566-574 (Dec 12, 2006) (9 pages) doi:10.1115/1.2720917 History: Received June 30, 2005; Revised December 12, 2006

## Abstract

A $15degrees$ of freedom lumped parameter vibratory model of human body is developed, for vertical mode vibrations, using anthropometric data of the 50th percentile US male. The mass and stiffness of various segments are determined from the elastic modulii of bones and tissues and from the anthropometric data available, assuming the shape of all the segments is ellipsoidal. The damping ratio of each segment is estimated on the basis of the physical structure of the body in a particular posture. Damping constants of various segments are calculated from these damping ratios. The human body is modeled as a linear spring-mass-damper system. The optimal values of the damping ratios of the body segments are estimated, for the $15degrees$ of freedom model of the 50th percentile US male, by comparing the response of the model with the experimental response. Formulating a similar vibratory model of the 50th percentile Indian male and comparing the frequency response of the model with the experimental response of the same group of subjects validate the modeling procedure. A range of damping ratios has been considered to develop a vibratory model, which can predict the vertical harmonic response of the human body.

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## Figures

Figure 1

An elipsoidal segment

Figure 2

Vibratory model of human body

Figure 3

Schematic representation of setup for frequency response experiment

Figure 4

Comparison of vibratory model response (50th percentile US male) with experimental response of two extreme limits (3)

Figure 5

Comparison of vibratory model response (50th percentile US male) with average experimental response (3)

Figure 6

Comparison of vibratory response of model 1 with experimental response of two extreme cases for 50th percentile Indian male

Figure 7

Comparison of vibratory response of model 2 with experimental response of two extreme cases for 50th percentile Indian male

Figure 8

Comparison of vibratory models 1 and 2 with average experimental response (50th percentile Indian male)

Figure 9

Comparison of vibratory model (model 2) response of Indian male subject with its experimental response

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