AbstractThe coupling effect between the electromagnetic field and mechanical response of a conducting structure is of importance in high energy devices such as fusion reactors. This paper is concerned with numerical modeling of the dynamic field-structure interaction. After the theory of magneto-elasticity for nonferrous conductors is reviewed briefly, a finite element numerical model for fully coupled analysis of the field-structure interaction in conductor plates is developed and corroborated numerically. In developing coupled magneto-plate elements the magnetic field vector rather than the potentials is employed as the primary unknown in electromagnetic field calculation and attention is paid to the performance of the structural elements as well as the electromagnetic elements. Thus the resulting continuum-based, consistent finite element model requires only C°-continuity both in electromagnetic aspect and mechanical aspect. For time integration of the coupled nonlinear system of equations, a partitioned analysis scheme is developed and its numerical implementation details are also presented. Then the proposed numerical model is applied to perform fully coupled analysis of the magnetically induced vibrations of the conducting plates in transient magnetic fields. The Fusion Electromagnetic Induction Experiments(FELIX) are modeled and the numerical results are shown to be in very good agreement with the measured field data.
電磁場と導電性構造物の機械的応答との間の連成効果は、核融合炉などの高エネルギー機器において重要な意味を持つ。本論文は、動的な場-構造連成問題の数値モデリングを扱う。非強磁性導体の磁気弾性理論を簡潔に概説した後、導体板における場-構造連成の完全連成解析のための有限要素数値モデルを構築し、数値的に検証する。連成磁気-板要素の定式化においては、電磁場の主要未知量として磁束密度ベクトルを採用し、構造要素の性能にも十分な考慮を払う。これにより、提案する連続体ベースの整合有限要素モデルは、電磁場および構造の両側面においてC⁰連続性のみを要求する。連成非線形方程式系の時間積分には、分割解析スキームを開発し、その数値実装の詳細も示す。次に、提案する数値モデルを過渡磁場中の導体板の磁気誘起振動の完全連成解析に適用する。核融合電磁誘導実験(FELIX)をモデル化し、数値結果が測定された場のデータと極めて良好に一致することを示す。