Stability analysis and evaluation of staggered coupled analysis methods for electromagnetic and structural coupled finite element analysis

•A stability evaluation method is proposed for magnetic damping vibration analysis.•Numerical stability is examined by stable region for coupled analysis methods.•Computing time required to obtain stable and converged solutions is compared. The numerical stability of electromagnetic and structural c...

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Vydáno v:	Computers & structures Ročník 178; s. 129 - 142
Hlavní autoři:	Niho, Tomoya, Horie, Tomoyoshi, Uefuji, Junpei, Ishihara, Daisuke
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Elsevier Ltd 01.01.2017 Elsevier BV
Témata:	Algorithms Computing time Coupled algorithm Coupled finite element analysis Eddy currents Electromagnetic and structural coupled problem Electromagnetics Finite element analysis Finite element method Numerical analysis Numerical instability Numerical stability Stability analysis Structural analysis Structural stability Studies Time integration Time integration method Time integration method Electromagnetic and structural coupled problem Coupled finite element analysis Stability analysis Numerical instability Coupled algorithm
ISSN:	0045-7949, 1879-2243
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Abstract	•A stability evaluation method is proposed for magnetic damping vibration analysis.•Numerical stability is examined by stable region for coupled analysis methods.•Computing time required to obtain stable and converged solutions is compared. The numerical stability of electromagnetic and structural coupled analysis methods is examined in terms of the spectral radius for various methods combined with a coupled algorithm, time integration methods for structural analysis and eddy current analysis, and coupled effect evaluation methods. The coupled analysis method with the conventional serial staggered algorithm, generalized–α method for structure, backward difference method for eddy current, and coupled effect evaluation using previous time step results is seen to be the most suitable from the viewpoints of stability and computing time. The stability of the conventional parallel staggered algorithm is found to be much improved if the generalized–α method is used for structural analysis.
AbstractList	The numerical stability of electromagnetic and structural coupled analysis methods is examined in terms of the spectral radius for various methods combined with a coupled algorithm, time integration methods for structural analysis and eddy current analysis, and coupled effect evaluation methods. The coupled analysis method with the conventional serial staggered algorithm, generalized-α method for structure, backward difference method for eddy current, and coupled effect evaluation using previous time step results is seen to be the most suitable from the viewpoints of stability and computing time. The stability of the conventional parallel staggered algorithm is found to be much improved if the generalized-α method is used for structural analysis. •A stability evaluation method is proposed for magnetic damping vibration analysis.•Numerical stability is examined by stable region for coupled analysis methods.•Computing time required to obtain stable and converged solutions is compared. The numerical stability of electromagnetic and structural coupled analysis methods is examined in terms of the spectral radius for various methods combined with a coupled algorithm, time integration methods for structural analysis and eddy current analysis, and coupled effect evaluation methods. The coupled analysis method with the conventional serial staggered algorithm, generalized–α method for structure, backward difference method for eddy current, and coupled effect evaluation using previous time step results is seen to be the most suitable from the viewpoints of stability and computing time. The stability of the conventional parallel staggered algorithm is found to be much improved if the generalized–α method is used for structural analysis.
Author	Uefuji, Junpei Niho, Tomoya Ishihara, Daisuke Horie, Tomoyoshi
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Cites_doi	10.1016/S0045-7949(02)00409-1 10.1016/j.compstruc.2006.11.006 10.1016/j.euromechsol.2012.05.007 10.1002/fld.2333 10.1115/1.2900803 10.1016/S0045-7825(99)00206-6 10.1016/0045-7825(95)92707-9 10.1016/S0045-7825(00)00386-8 10.1016/j.compstruc.2008.05.005 10.1002/eqe.4290010308 10.1016/j.cma.2004.11.032 10.1142/S1758825114500513 10.1108/eb010076 10.1002/nme.4370 10.1016/S0045-7825(03)00392-X 10.1016/j.compstruc.2009.09.003 10.1109/20.877694 10.1108/eb010139
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Snippet	•A stability evaluation method is proposed for magnetic damping vibration analysis.•Numerical stability is examined by stable region for coupled analysis... The numerical stability of electromagnetic and structural coupled analysis methods is examined in terms of the spectral radius for various methods combined...
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SubjectTerms	Algorithms Computing time Coupled algorithm Coupled finite element analysis Eddy currents Electromagnetic and structural coupled problem Electromagnetics Finite element analysis Finite element method Numerical analysis Numerical instability Numerical stability Stability analysis Structural analysis Structural stability Studies Time integration Time integration method
Title	Stability analysis and evaluation of staggered coupled analysis methods for electromagnetic and structural coupled finite element analysis
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