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In electromagnetic and structural coupled problems such as magnetic damping vibration, the staggered method is used for coupled analyses because of its low computational cost. However, numerical instability may occur as a result of the time lag in coupled effect evaluation even if the time integration method for each phenomenon is unconditionally stable.
In this study, the stability of staggered coupled analyses is evaluated based on the spectral radius, and the stable regions of time increments with the intensity of the coupling effect are obtained.
The numerical stability of the coupled analysis methods is compared for various coupling effect intensities based on the stable region.
The coupled analysis method with the conventional serial staggered algorithm and generalized-alpha method is most stable. The stability of the conventional parallel staggered algorithm is much improved if the generalized-alpha method is used.

numerical instability; electromagnetic and structural coupled analysis; coupled algorithm; time integration method; numerical damping