A mathematical model has been developed to represent the fore-and-aft dynamic response of the back of the seated human-body during exposure to fore-and-aft whole-body vibration. Optimum parameters for the model were derived from the measured apparent masses of the backs of ten male subjects in a previously reported study. The model provides close predictions of the measured modulus and phase of the apparent mass of the back between 0.25 and 10 Hz. The fitted mass, m, spring stiffness, k, and damping, c, obtained by fitting the model to the median apparent mass of the backs of the ten subjects showed a similar response with the median values of m, k, and c obtained by fitting the individual responses using modal averaging. It is concluded that the model provides an apparent mass similar to that of the human back, although it does not seek to represent the internal movement of the body during fore-and-aft excitation
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