力磁耦合作用下第一壁矩形模块的动态响应

Dynamical responses of first-wall rectangular modules under mechanical-magnetic coupling field

研究核聚变堆(ITER)第一壁的动态响应问题.建立金属矩形薄板的非线性磁弹性振动方程;利用Galerkin方法得到薄板在耦合场中的动力系统,应用Runge-Kutta方法进行数值求解,绘出薄板运动的时程图、相轨迹图和Poincare映射图;分析薄板动力系统的运动规律,研究载荷和磁场强度对运动状态的影响.

Dynamical responses of the first-wall in ITER are studied. The uniformly distributed lateral and longitudinal loads are exerted to a rectangular thin plate, which is located in a transverse steady uniform magnetic field. By considering finite deformation, the motion equations are derived. The partial differential equations are transferred to differential dynamical system by Galerkin method. Runge-Kutta method is employed to simulate the dynamical behaviors of the plate. The motions are analyzed by using time-displacement diagrams, phase trajectories, and Poincare map.