Floquet Theory for Discontinuously Supported Waveguides. (8th November 2016)

• Record Type: Journal Article
• Authors: Sorzia, A.
• Other Names: Kaplunov Julius Academic Editor.
• Is Part Of: Modelling and simulation in engineering. Volume 2016(2016)
• Publication Date: 2016-11-08
• Subjects: Engineering -- Simulation methods -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.004
• DOI: 10.1155/2016/2651953
• Languages: English
• ISSNs: 1687-5591

Abstract

Abstract : We apply Floquet theory of periodic coefficient second-order ODEs to an elastic waveguide. The waveguide is modeled as a uniform elastic string periodically supported by a discontinuous Winkler elastic foundation and, as a result, a Hill equation is found. The fundamental solutions, the stability regions, and the dispersion curves are determined and then plotted. An asymptotic approximation to the dispersion curve is also given. It is further shown that the end points of the band gap structure correspond to periodic and semiperiodic solutions of the Hill equation.