第八章研究1维力学和2维弹性力学问题的特征函数展开解法。
In chapter 8 solutions by eigenfunction expansion to 1-dimensional problems of mechanics and 2-dimensional problems of theory of elasticity are researched.
在线性有势流的假定下，用特征函数展开方法求出了内部和外部流场的解。
Under the assumptions of linearized potential flow, the coupled problem of flow in the interior and exterior fluid regions was solved by an eigenfunction expansion approach.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
利用自然正交函数展开的前三个特征向量场及对应的时间系数将梅雨降水分成三类六型。
The Meiyu precipitation can be classified into three classes and six patterns by using the first three characteristic vectors and their corresponding time coefficients.
此外讨论了一个非自伴的问题，对它和它的伴随问题的特征值、特征函数进行了详细的讨论，得到了一特征展开定理。
Besides, by giving a Dirac eigenvalue problem example and studying the eigenvalue and eigenfunction of it and its adjoint problem, we can obtain an eigenfunction expansion theorem.
此外讨论了一个非自伴的问题，对它和它的伴随问题的特征值、特征函数进行了详细的讨论，得到了一特征展开定理。
Besides, by giving a Dirac eigenvalue problem example and studying the eigenvalue and eigenfunction of it and its adjoint problem, we can obtain an eigenfunction expansion theorem.
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