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中国科学院大学学报 ›› 2013, Vol. 30 ›› Issue (2): 166-171.DOI: 10.7523/j.issn.1002-1175.2013.02.004

• 物理学 • 上一篇    下一篇

力磁耦合作用下第一壁矩形模块的动态响应

刘省勇, 刘健健, 张年梅   

  1. 中国科学院研究生院物理学院, 北京 100049
  • 收稿日期:2012-01-19 修回日期:2012-03-16 发布日期:2013-03-15
  • 通讯作者: 张年梅
  • 基金资助:

    国家自然科学基金(50936066)资助

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

LIU Sheng-Yong, LIU Jian-Jian, ZHANG Nian-Mei   

  1. School of Physics, Graduate University, Chinese Academy of Sciences, Beijing 100049, China
  • Received:2012-01-19 Revised:2012-03-16 Published:2013-03-15

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.

关键词: 非线性振动, 有限变形, 动态响应

Abstract:

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.

Key words: nonlinear vibration, finite deformation, dynamical response

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