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Plane analysis for functionally graded magneto-electro-elastic materials via the symplectic framework

机译：通过辛构架对功能梯度磁电弹性材料进行平面分析

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摘要

By introducing the displacements, electric potential, magnetic potential and their dual counterparts as state variables, a symplectic analysis framework is established in the Hamiltonian system to solve the plane problem of functionally graded magneto-electro-elastic materials. The material properties are assumed to vary along the length direction in an identical exponential form. The method of separation of variables along with the eigenfunction expansion technique is employed to reduce the original problem to the eigenvalue/eigensolution analysis. The particular eigensolutions corresponding to eigenvalues of zero and -α are given, which while bearing definite physical interpretations exhibit some unique characteristics. A numerical example is presented to show the influence of material inhomogeneity on the β-group solutions of the problem.
机译：通过引入位移，电势，磁势及其对偶变量作为状态变量，在汉密尔顿体系中建立了辛分析框架，以解决功能梯度磁电弹性材料的平面问题。假定材料特性沿长度方向以相同的指数形式变化。采用变量分离方法和特征函数扩展技术将原始问题简化为特征值/特征解分析。给出了对应于零和-α特征值的特定特征解，这些特征解在进行明确的物理解释时表现出一些独特的特征。给出了一个数值示例，显示了材料不均匀性对问题的β组解的影响。

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  • 来源
    《Composite Structures》 |2010年第7期|p.1753-1761|共9页
  • 作者

    Li Zhao; Wei-qiu Chen;

  • 作者单位

    Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou, Zhejiang 310058, China;

    State Key Lab of CAD and CG, Zhejiang University, Zijingang Campus, Hangzhou, Zhejiang 310058, China Department of Engineering Mechanics, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    functionally graded; magneto-electro-elastic material; plane problem; symplectic approach;

    机译：功能分级;磁电弹性材料;飞机问题辛方法;

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