| 功能梯度材料平面问题的辛弹性力学解法 |
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| 引用本文： | 陈伟球,赵莉.功能梯度材料平面问题的辛弹性力学解法[J].力学学报,2009,41(4):588. |
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| 作者姓名： | 陈伟球 赵莉 |
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| 作者单位： | 杭州市浙大路38号浙江大学工程力学系 浙江省杭州市浙江大学土木系 |
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| 基金项目： | 国家自然科学基金(10725210,10432030);;教育部高等学校博士点专项基金(20060335107);;新世纪优秀人才支持计划(NCET-05-05010)资助项目~~ |
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| 摘 要： | 将辛弹性力学解法推广用于功能梯度材料平面问题的
分析，考虑沿长度方向弹性模量为指数函数变化而泊松比为常数的矩形域平面弹性问题，给
出了具体的求解步骤. 提出了移位Hamilton矩阵的新概念，建立起相应的辛共轭正交关系；
导出了对应特殊本征值的本征解，发现材料的非均匀特性使特殊本征解的形式发生明显的变
化.
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| 关 键 词： | 功能梯度材料 平面问题 辛弹性力学 移位Hamilton矩阵 辛共轭正交关系 |
| 收稿时间： | 2008-06-23 |
| 修稿时间： | 2008-10-22 |
THE SYMPLECTIC METHOD FOR PLANE ELASTICITY PROBLEM OF FUNCTIONALLY GRADED MATERIALS |
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| Chen Weiqiu
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Zhao Li.THE SYMPLECTIC METHOD FOR PLANE ELASTICITY PROBLEM OF FUNCTIONALLY GRADED MATERIALS[J].chinese journal of theoretical and applied mechanics,2009,41(4):588. |
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| Authors: | Chen Weiqiu Zhao Li |
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| Institution: | Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | There are several typical methods that have been widely employed to analyze static and dynamic behavior of functionally graded material(FGM) structures,such as the simplified analytical methods(based on one or two-dimensional structural theories),three-dimensional exact elasticity methods,approximate elasticity methods based on laminated models,semi-analytical methods,and the numerical methods.In this paper,the symplectic approach,originally developed for homogeneous or piece-wisely homogeneous materials,is... |
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| Keywords: | functionally graded materials plane problem symplectic method shift-Hamiltonian matrix adjoint symplectic orthogonality |
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