Abstract
In investigating the behavior of subcomponents of a structural system, attention is often given to the meeting of mobility or impedance at mounting or junction points. Thus, if the mobility at a point in a certain frequency range is given, a black box might be devised that contains a structural model designed to duplicate the desired mobility. Various methods are discussed for arriving at models based on different forms of series solutions for mobility of linear systems. Models are presented for a particular example: a uniform, thin bar with free ends. Although it is well known that a model with a large number of discrete elements will adequately represent a uniform bar, the possibility is demonstrated of furnishing a model containing only a few elements, for a certain frequency range. The mobility of combinations of models is also presented. Through the Fourier-transform relationship between mobility and transient response, it is shown that the models accurate for predicting steady-state response are accurate for transient response. [This research was carried out as part of a program supported by the U. S. Office of Naval Research.]
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