Theoretical foundation, methods, and criteria for calibrating human vibration models using frequency response functions

Abstract

While simulations of the measured biodynamic responses of the whole human body or body segments to vibration are conventionally interpreted as summaries of biodynamic measurements, and the resulting models are considered quantitative, this study looked at these simulations from a different angle: model calibration. The specific aims of this study are to review and clarify the theoretical basis for model calibration, to help formulate the criteria for calibration validation, and to help appropriately select and apply calibration methods. In addition to established vibration theory, a novel theorem of mechanical vibration is also used to enhance the understanding of the mathematical and physical principles of the calibration. Based on this enhanced understanding, a set of criteria was proposed and used to systematically examine the calibration methods. Besides theoretical analyses, a numerical testing method is also used in the examination. This study identified the basic requirements for each calibration method to obtain a unique calibration solution. This study also confirmed that the solution becomes more robust if more than sufficient calibration references are provided. Practically, however, as more references are used, more inconsistencies can arise among the measured data for representing the biodynamic properties. To help account for the relative reliabilities of the references, a baseline weighting scheme is proposed. The analyses suggest that the best choice of calibration method depends on the modeling purpose, the model structure, and the availability and reliability of representative reference data.

Development of a two-dimensional dynamic model of the foot-ankle system exposed to vibration

“…However, models based on measured transmissibility which considered the anatomical structures, performed poorly (Cherian et al, 1996;Fritz, 1991). Consequently, methodologies using both the DPMI and the measured transmissibility have been developed (Adewusi et al, 2012;Dong et al, 2015).…”

A Method for Analyzing Hand‐Transmitted Vibration Characteristics in the Hand‐Arm Parts When Operating the Portable Pneumatic Extinguisher

“…In GB10000, the weight of most adult males is 78 kg, and the length of the forearm and upper arm were 26.9 cm and 35.0 cm, respectively. e average body weight of 0.65%, 1.9%, and 3.3% is the estimated mass of the hand m h , forearm m 5 , and upper arm m 6 , respectively [18]. Table 2 summarizes the standard anthropometric parameters. e method to identify the parameters in the model is to use MATLAB to constrain multiobjective optimization of a large amount of data measured by using the vibration experimental test platform.…”

“…Figure 4 presents the VT for different sets of measurements (wrist, forearm, and upper arm). e frequency range of the majority of handheld tools is below 500 Hz [18], and the low frequency of the portable pneumatic extinguisher is about 2.5 Hz.…”

“…e forward dynamic approach is generally applicable to the dynamic properties of the system that can be directly measured and used in the model to predict dynamic responses. e inverse dynamic approach, or hybrid forward and reverse approach, is usually applied to the study which is difficult to directly measure the biodynamic properties of living human subjects [16][17][18]. Considering the difficulty of direct measurement, this study used the inverse dynamics approach based on frequency response function to develop the human hand-arm model in order to estimate the biodynamic characteristics of the model.…”

“…Considering the difficulty of direct measurement, this study used the inverse dynamics approach based on frequency response function to develop the human hand-arm model in order to estimate the biodynamic characteristics of the model. A number of studies have proposed a set of standards to guide the development of human vibration models [18].…”