The asymptotic estimation of the vibration spectrum for a system of two identical
Euler–Bernoulli beams coupled via each of the four standard types of linear
dissipative joint has been solved for the case when one beam is clamped and the
other beam is free at the outer ends. Here, we generalize those results and solve the
problem for all 40 combinations of energy-conserving end conditions. We provide
both asymptotic and numerical results, and we compare the various systems with an
eye toward determining which configurations lead to asymptotically equivalent
vibration spectra.
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