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物理学

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
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  • 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

  网络出版日期: 2012-03-16

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
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  • School of Physics, Graduate University, Chinese Academy of Sciences, Beijing 100049, China

Received date: 2012-01-19

  Revised date: 2012-03-16

  Online published: 2012-03-16

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.

本文引用格式

刘省勇 , 刘健健 , 张年梅 . 力磁耦合作用下第一壁矩形模块的动态响应[J]. 中国科学院大学学报, 2013 , 30(2) : 166 -171 . DOI: 10.7523/j.issn.1002-1175.2013.02.004

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.

参考文献

[1] Zhao Z, Feng K M, Zhang G S, et al. Transient thermal analysis for the first-wall of CH HCSB TBM[J]. Nuclear Fusion and Plasma Physic, 2009, 29(4):348-352 (in Chinese).赵周,冯开明,张国书,等. 中国ITER固态增殖剂实验包层模块第一壁瞬态热分析[J]. 核聚变与等离子体物理,2009,29(4):348-352.

[2] Prater P. Plane waves in thermoelasticity and magnetothermoelasticity[J]. Int J Eng Sci, 1972, 10(5): 467-477.

[3] Li M H, Shi G M, Wang X Y, et al. Thermal-mechanical analyses of Helium-cooled test blanket module[J]. Nuclear Power Engineering,2007, 28(1):32-35 (in Chinese).李明海,史光梅,王晓宇,等. He冷却试验包层模块的热-力耦合分析[J]. 核动力工程,2007,28(1):32-35.

[4] Zheng X J, Zhang J P, Zhou Y H. Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field[J]. Int J Solids Struct, 2005,42: 2417-2430.

[5] Bai Y Q, Wang W H, Wang H Y, et al. Thermal stress calculation and analysis on first wall structure of dual cooled waste transmutation blanket for the fusion driven subcritical system[J]. Chinese Journal of Nuclear Science and Engineering, 2004, 24(3):277-281 (in Chinese).柏云清,汪卫华,王红艳,等. 聚变驱动次临界堆双冷嬗变包层第一壁结构热应力计算与分析[J]. 核科学与工程,2004,24(3):277-281.

[6] Zhou Y H, Zheng X J, Harik I E. Free vibration analysis of compressed clamped circular plates[J]. ASCE J Eng Mech,1995, 121 (12):1372-1376.

[7] Zhu W G, Bai X Z, Yang Y. Bifurcation and chaos in two sides simply supported and two sides fixed thin rectangular plate under transverse electromagnetic fields[J]. Engineering Mechanics, 2005, 25(Sup 1):38-43 (in Chinese).朱为国,白象忠,杨阳. 横向磁场中对边简支对边固支矩形薄板的分岔与混沌[J]. 工程力学,2005, 25(增刊1), 38-43.

[8] Zhou Y H, Zheng X J, Wang X Z. Mechanical analysis of magneto elastic coupling interaction to cantilevered ferromagnetic plates with finite width[J]. Acta Mechanica Solida Sinica,1998,19(3):239-244 (in Chinese).周又和,郑晓静,王省哲. 悬臂铁磁板磁弹性耦合作用的力学分析[J]. 固体力学报,1998,19(3):239-244.

[9] Zhou Y H, Miya K. A theoretical prediction of natural frequency of a ferromagnetic beam plate with low susceptibility in an in-plane magnetic field[J]. ASME J Appl Mech, 1998, 65(1):121-126.

[10] Zheng X J, Ke J. Magnetic force models for Magnetizable elastic bodies in the magnetic field[J]. World Scientific, Singapore, 2011: 353-383.

[11] Zheng L F, Zhang N M. Analysis of strongly nonlinear vibration of large deflection rectangular plate[J]. Journal of Taiyuan university of technology, 2008, 39(spec):291-298(in Chinese).郑利锋,张年梅. 大挠度矩形板的强非线性振动分析[J].太原理工大学学报,2008,39(专辑):291-298.

[12] Zhou Y H, Zheng X J. A general expression of magnetic force for soft ferromagnetic plates in complex magnetic fields[J]. Int J Eng Sci, 1997, 35(15):1405-1417.

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