Stability of augmented staggered method for electromagnetic and structural coupled problem
Stability of augmented staggered method for electromagnetic and structural coupled problem
复制标题
DOI：
10.1109/tmag.2004.825021
复制
发表时间：
2004-04
影响因子：
2.1
通讯作者：
Y. Tanaka;T. Horie;T. Niho;E. Shintaku;Y. Fujimoto
中科院分区：
文献类型：
--
作者：
Y. Tanaka;T. Horie;T. Niho;E. Shintaku;Y. Fujimoto
在分析电磁与结构耦合问题或磁阻尼问题时，交替求解结构方程和涡流方程时会出现数值不稳定性。本文提出了一种增广交错法用于耦合分析。通过有限元分析证明了该方法在磁阻尼振动情况下的稳定性。根据这种时间积分格式的递推关系所得到的特征方程，证实了这种方法对于磁场强度和时间增量的大小是无条件稳定的。
Numerical instability occurs in analyses of an electromagnetic and structural coupled problem or a magnetic damping problem when the matrix equations of structure and eddy current are solved alternately. In this paper, an augmented staggered method is proposed for the coupled analysis. The stability of this method is demonstrated for the magnetically damped vibration by finite element analyses. According to the characteristic equation obtained from the recurrence relation of this time integration scheme, it is confirmed that this method is unconditionally stable for the intensity of magnetic field and the size of time increment.