By N. Baddour
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Exact Transfer Function Analysis of Distributed Parameter Systems by Wave Propagation Techniques 21 deformations. According to this simple beam theory, a wave of very high frequency (or very short wavelength) would be predicted instantaneously at remote locations, which is physically unacceptable since this can be interpreted as that such a wave travels at an infinity velocity. This abnormal behavior of the Euler-Bernoulli beam can be readily verified by observing the phase velocity c of the dispersion equation (Eq.
Then, at some velocity, it would achieve a maximum value after which it would decrease with the increase of speed. The sliding process is not a continuous one; the motion proceeds by jerks. The metallic surfaces “stick” together until, as a result of the gradually increasing pull, there is a sudden break with a consequent very rapid “slip”. The surfaces stick again and the process is repeated indefinitely. When the surfaces are of 40 Recent Advances in Vibrations Analysis the same metal, the behavior is somewhat different.
36) In the same manner as for free response analysis, the forced response solution in Eq. 36) can be generalized for a multi-span beam by applying the global wave transmission matrix. For x