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论文类型：期刊论文

发表时间：2017-03-01

发表刊物：INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS

收录刊物：SCIE、EI

卷号：30

期号：2

ISSN号：0894-3370

关键字：isogeometric analysis; trimming technique; arch-cut ridged; trimmed element; reconstruction

摘要：The conventional non-uniform rational B-spline (NURBS)-based isogeometric analysis (IGA) preserves the exact description of geometrical shapes and significantly improves the computational accuracy, but suffers from the topological limitations of a single intact NURBS patch in the parameter space, which renders IGA to be applied in complex topology like the ridged structure inconvenient. In this present work, trimming technique which is the isogeometric approach for handling two-dimensional topologically complicated geometry with a single patch is employed to demonstrate how this issue can be resolved, and further extended to analyze the quadruple archcut ridged circular waveguide. The main benefit of the proposed approach is that only one patch is sufficient to represent the complex two-dimensional topology such as circular or any degrees of polygonal shapes. Because the finite element constituents of the trimmed elements are calculated and mapped into underlying global control variables by remodeling the trimmed elements as a single patch, various properties of conventional IGA are maintained. Numerical example illustrates the flexibility for describing complicated two-dimensional domain, and high computational accuracy and efficiency of present method with much less degree of freedom compared to commercial finite-element software package. Effects of arch-cut ridge dimensions on the cut-off wave numbers of modes are investigated in details. Copyright (C) 2016 John Wiley & Sons, Ltd.