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Lumped Parameter Beam Models Based on Mechanical Impedance
A new approach has been used, based on an impedance method, to develop accurate lumped parameter models of uniform Bernoulli-Euler beams. By adjusting the parameters so that the impedance of the models is accurate at the boundaries, it is demonstrated that they will also be accurate for ground shock loading if the spectrum of the loading indicates low frequency content. Improved models for clamped-clamped, hinged-hinged, clamped-free, clamped-propped and clamped-guided beams are presented. Some previous results for bars are summarized. Also some previous results based on matching model parameters are included.
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