Higher-Harmonic Generation Analysis in Complex Waveguides via a Nonlinear Semianalytical Finite Element Algorithm

<table>Propagative modes in the (80 ÷ 160) kHz frequency range. (a) Flexural vertical mode (energy mainly concentrated in the rail’s head). (b) Flexural horizontal mode (energy exclusively, confined in the rail’s web). (c) Axial mode. (d) Complex mode involving a mixture of axial, torsional, and flexural displacements (color online).</table>

Mathematical Problems in Engineering

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Figure 3

Figure 3: Higher-Harmonic Generation Analysis in Complex Waveguides via a Nonlinear Semianalytical Finite Element Algorithm 