摘要
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.
出处
《中国科学院研究生院学报》
CAS
CSCD
北大核心
2013年第2期166-171,共6页
Journal of the Graduate School of the Chinese Academy of Sciences
基金
国家自然科学基金(50936066)资助
关键词
非线性振动
有限变形
动态响应
nonlinear vibration
finite deformation
dynamical response