Analysis of a Quadruple Corner-Cut Ridged/Vane-Loaded Circular Waveguide Using Scaled Boundary Finite Element Method

Abstract

This paper presents an extension of the recently-developed efficient semi-analytical method, namely scaled boundary finite element method (SBFEM) to analyze quadruple corner-cut ridged circular waveguide. Owing to its symmetry, only a quarter of its crosssection needs to be considered. The entire computational domain is divided into several sub-domains. Only the boundaries of each subdomain are discretized with line elements leading to great flexibility in mesh generation, and a variational approach is used to derive the scaled boundary finite element equations. SBFEM solution converges in the finite element sense in the circumferential direction, and more significantly, is analytical in the radial direction. Consequently, singularities around re-entrant corners can be represented exactly and automatically. By introducing the "dynamic stiffness" of waveguide, using the continued fraction solution and introducing auxiliary variables, a generalized eigenvalue equation with respect to wave number is obtained without introducing an internal mesh. Numerical results illustrate the accuracy and efficiency of the method with very few elements and much less consumed time. Influences of corner-cut ridge dimensions on the wave numbers of modes are examined in detail. The single mode bandwidth of the waveguide is also discussed. Therefore, these results provide an extension to the existing design data for ridge waveguide and are considered helpful in practical applications.

Analyze the Impact of the Thin-Walled Hollow Pier by Construction of Reservoir

“…1 Pier solid model and meshing diagram Boundary conditions. According to actual situation, the foundation of pier column is embedded in the surface, similar to the cantilever structure [4]. The model boundary conditions is that consolidation constraints are imposed on the pier column's bottom [5].…”

Analysis of quadruple corner‐cut ridged elliptical waveguide by scaled boundary finite element method

“…The SBFEM is a novel semi-analytical technique and has been developed to solve soil-structure interaction problems, which was proposed [17] and systematically described by Wolf and Song [18]. In recent years, SBFEM has been extended to different fields of physics, such as elastomechanics, dynamics, geomechanics, diffusion, dam-foundation interaction, fracture mechanics, seepage, acoustical, potential flow and electromagnetic field, nonlinear problems, and so on [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Its versatility, accuracy and efficiency outweigh the FEM and BEM for certain problems.…”