提出一种计算具有齐次边界条件的旋转薄壳的特征值和特征函数的精确解法。
A new exact solution is developed which enables to determine the free vibration characteristics of toroidal thin shell with homogeneous boundary conditions.
并通过变量代换，将原问题的非齐次边界条件转化为齐次边界条件的边值问题。
Through the change of variables, the original problem with inhomogeneous boundary condition is reduced to the boundary value problem of homogeneous boundary condition.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
边界条件，齐次性，求解技巧。
导出了以固体骨架位移表示的无量纲控制方程，并将边界条件齐次化。
Firstly, the dimensionless governing equations in terms of displacement of solid skeleton are derived; and the boundary conditions are homogenized.
由板的边界条件可以建立相应的齐次线形方程组。
By plate's boundary condition we can found the homologous homogeneous linear system of equations.
文章首先导出了以无量纲位移表示的矩阵形式的控制方程，并将边界条件齐次化。
Firstly, the dimensionless displacement governing equations in matrix form are derived and the boundary conditions is homogenized.
文章首先导出了以无量纲位移表示的矩阵形式的控制方程，并将边界条件齐次化。
Firstly, the dimensionless displacement governing equations in matrix form are derived and the boundary conditions is homogenized.
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