Abstract
We examine the torsional response of a pretensioned elastic circular rod. First, we review a procedure for computation of semidiscrete wave modes in the rod. The modes are continuous in the axial and circumferential directions but discrete in the radial direction. In terms of these modes, we synthesize a two-node hyperelement that can represent a rod segment, with discretization only in the radial direction, within the framework of finite element analysis. The effort involved in computations with this hyperelement is independent of the rod segment length. Next, using this efficient formulation, we analyze time-harmonic vibrations of a pretensioned rod subjected to torque at one end and fixed at the other. We show how the rod response is affected by the level of pretension. Assuming that torsional-response measurements are available for a known level of pretension, we show how the coefficient describing the effect of pretension can be estimated. Finally, with this coefficient, we present a simple, yet effective, procedure for estimation of the level of pretension.
Published Version
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