| 特征函数展开解法的研究 |
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| 引用本文： | 罗建辉,刘光栋.特征函数展开解法的研究[J].固体力学学报,2005,26(3):316-320. |
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| 作者姓名： | 罗建辉 刘光栋 |
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| 作者单位： | 湖南大学土木工程学院,长沙,410082 |
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| 摘 要： | 以常微分方程的理论为基础，利用新的对偶变量、对偶微分矩阵和正交关系，以单连续坐标弹性体系为例，建立了与弹性力学求解新体系平行的特征函数展开解法．并将正交关系应用于可对角化边界条件的处理，实现了求解待定系数方程组的解耦，求得问题的显式封闭解．
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| 关 键 词： | 弹性力学 正交关系 特征函数 对偶向量 函数展开 特征 常微分方程 对偶变量 弹性体系 边界条件 |
| 收稿时间： | 2003-08-26 |
| 修稿时间： | 2005-05-22 |
RESEARCH ON A SOLUTION METHOD BY EIGENFUNCTION EXPANSION |
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| Luo Jianhui,Liu Guangdong.RESEARCH ON A SOLUTION METHOD BY EIGENFUNCTION EXPANSION[J].Acta Mechnica Solida Sinica,2005,26(3):316-320. |
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| Authors: | Luo Jianhui Liu Guangdong |
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| Abstract: | By using new dual vectors, dual differential matrix and orthogonality relationship, a new solution method by igenfunction expansion for an elastic system with one continuous coordinate is establishen based on the theory of ordinary differential eguations. The orthogonality relationship is applied to the treatment of boundary conditions to decouple the coefficient equations, and the explicit solutions are obtained. |
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| Keywords: | theory of elasticity orthogonality relationship eigenfunction dual vectors |
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