Real wave vectors for dynamic analysis of periodic structures
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A modified version of the traditional wave vector computational scheme for the dynamic
analysis of long undamped periodic structures is presented. First, the consistency of the
complex wave vector mathematical formulation is discussed, placing particular emphasis on
the real or complex nature of the resulting characteristic equation from which the natural
frequencies are derived. It is shown that the rearrangement in terms of complex waves
entering the domain, devised to overcome ill-conditioning arising in the transfer matrix …
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In physics, a wave vector (also spelled wavevector) is a vector which helps describe a wave. Like any vector, it has a magnitude and direction, both of which are important: Its magnitude is either the wavenumber or angular wavenumber of the wave (inversely proportional to the wavelength), and its direction is ordinarily the direction of wave propagation