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Isogeometric Collocation Method for the Galloping of an Iced Conductor
AbstractA computationally efficient isogeometric collocation (IGA-C) method based on nonuniform rational B-splines (NURBS) is adopted to analyze the large amplitude, low frequency, and self-excited vibrations of an iced conductor. Governing partial differential equations (PDEs) involving the axial, horizontal, vertical, and torsional motion of the iced conductor are developed by employing the Hamilton’s variational principle. Taking advantage of the high-continuity properties of NURBS basis functions and Greville collocation points, the authors employ the IGA-C method to discretize the exact PDEs without neglecting high-order nonlinear terms. The Newmark-β incremental method and Newton-Raphson nonlinear iteration algorithm are adopted to solve that discretized system of dynamic equations of the iced conductor. The accuracy of the present model scheme and numerical implementation is demonstrated through two illustrative examples. Comparing with conventional finite element methods, the present IGA-C method has less calculation points so that it opens the door to a higher-order accurate analysis for galloping problems with a minimum computational effort.
Isogeometric Collocation Method for the Galloping of an Iced Conductor
AbstractA computationally efficient isogeometric collocation (IGA-C) method based on nonuniform rational B-splines (NURBS) is adopted to analyze the large amplitude, low frequency, and self-excited vibrations of an iced conductor. Governing partial differential equations (PDEs) involving the axial, horizontal, vertical, and torsional motion of the iced conductor are developed by employing the Hamilton’s variational principle. Taking advantage of the high-continuity properties of NURBS basis functions and Greville collocation points, the authors employ the IGA-C method to discretize the exact PDEs without neglecting high-order nonlinear terms. The Newmark-β incremental method and Newton-Raphson nonlinear iteration algorithm are adopted to solve that discretized system of dynamic equations of the iced conductor. The accuracy of the present model scheme and numerical implementation is demonstrated through two illustrative examples. Comparing with conventional finite element methods, the present IGA-C method has less calculation points so that it opens the door to a higher-order accurate analysis for galloping problems with a minimum computational effort.
Isogeometric Collocation Method for the Galloping of an Iced Conductor
Jiang, Wen (author) / He, Zeng / Huang, Zheng / Zhang, Dongliang
2017
Article (Journal)
English
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